✧ Wed, November 29, 2023Warning to All American Іnvеstоrs💡
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Our calculus studies began with encountering a hungry bear. He looked up at us, licked his lips, and charged at us with the fury of a steam-powered locomotive. Being the smart people we are, we ran. What else is there to do? We're not confronting a ravenous bear with nothing but a piece of paper, a pencil, and a graphing calculator. Despite running, we couldn't outrun the hungry bear. We encountered limits, derivatives, integrals, and even some weird things about counting to infinity. We've managed to wrestle our way free a couple times, and the bear decided to leave us alone. As far as we've come, there's no turning back. But we can take a break for a second and enjoy the scenery.
Dorian Gray glanced at the picture, and suddenly an uncontrollable feeling of hatred for Basil Hallward came over him, as though it had been suggested to him by the image on the canvas, whispered into his ear by those grinning lips. The mad passions of a hunted animal stirred within him, and he loathed the man who was seated at the table, more than in his whole life he had ever loathed anything. He glanced wildly around. Something glimmered on the top of the painted chest that faced him. His eye fell on it. He knew what it was. It was a knife that he had brought up, some days before, to cut a piece of cord, and had forgotten to take away with him. He moved slowly towards it, passing Hallward as he did so. As soon as he got behind him, he seized it and turned round. Hallward stirred in his chair as if he was going to rise. He rushed at him and dug the knife into the great vein that is behind the ear, crushing the man's head down on the table and stabbing again and again. There was a stifled groan and the horrible sound of some one choking with blood. Three times the outstretched arms shot up convulsively, waving grotesque, stiff-fingered hands in the air. He stabbed him twice more, but the man did not move. Something began to trickle on the floor. He waited for a moment, still pressing the head down. Then he threw the knife on the table, and listened. He could hear nothing, but the drip, drip on the threadbare carpet. He opened the door and went out on the landing. The house was absolutely quiet. No one was about. For a few seconds he stood bending over the balustrade and peering down into the black seething well of darkness. Then he took out the key and returned to the room, locking himself in as he did so. The thing was still seated in the chair, straining over the table with bowed head, and humped back, and long fantastic arms. Had it not been for the red jagged tear in the neck and the clotted black pool that was slowly widening on the table, one would have said that the man was simply asleep. How quickly it had all been done! He felt strangely calm, and walking over to the window, opened it and stepped out on the balcony. The wind had blown the fog away, and the sky was like a monstrous peacock's tail, starred with myriads of golden eyes. He looked down and saw the policeman going his rounds and flashing the long beam of his lantern on the doors of the silent houses. The crimson spot of a prowling hansom gleamed at the corner and then vanished. A woman in a fluttering shawl was creeping slowly by the railings, staggering as she went. Now and then she stopped and peered back. Once, she began to sing in a hoarse voice. The policeman strolled over and said something to her. She stumbled away, laughing. A bitter blast swept across the square. The gas-lamps flickered and became blue, and the leafless trees shook their black iron branches to and fro. He shivered and went back, closing the window behind him.
Dorian Gray glanced at the picture, and suddenly an uncontrollable feeling of hatred for Basil Hallward came over him, as though it had been suggested to him by the image on the canvas, whispered into his ear by those grinning lips. The mad passions of a hunted animal stirred within him, and he loathed the man who was seated at the table, more than in his whole life he had ever loathed anything. He glanced wildly around. Something glimmered on the top of the painted chest that faced him. His eye fell on it. He knew what it was. It was a knife that he had brought up, some days before, to cut a piece of cord, and had forgotten to take away with him. He moved slowly towards it, passing Hallward as he did so. As soon as he got behind him, he seized it and turned round. Hallward stirred in his chair as if he was going to rise. He rushed at him and dug the knife into the great vein that is behind the ear, crushing the man's head down on the table and stabbing again and again. There was a stifled groan and the horrible sound of some one choking with blood. Three times the outstretched arms shot up convulsively, waving grotesque, stiff-fingered hands in the air. He stabbed him twice more, but the man did not move. Something began to trickle on the floor. He waited for a moment, still pressing the head down. Then he threw the knife on the table, and listened. He could hear nothing, but the drip, drip on the threadbare carpet. He opened the door and went out on the landing. The house was absolutely quiet. No one was about. For a few seconds he stood bending over the balustrade and peering down into the black seething well of darkness. Then he took out the key and returned to the room, locking himself in as he did so. The thing was still seated in the chair, straining over the table with bowed head, and humped back, and long fantastic arms. Had it not been for the red jagged tear in the neck and the clotted black pool that was slowly widening on the table, one would have said that the man was simply asleep. How quickly it had all been done! He felt strangely calm, and walking over to the window, opened it and stepped out on the balcony. The wind had blown the fog away, and the sky was like a monstrous peacock's tail, starred with myriads of golden eyes. He looked down and saw the policeman going his rounds and flashing the long beam of his lantern on the doors of the silent houses. The crimson spot of a prowling hansom gleamed at the corner and then vanished. A woman in a fluttering shawl was creeping slowly by the railings, staggering as she went. Now and then she stopped and peered back. Once, she began to sing in a hoarse voice. The policeman strolled over and said something to her. She stumbled away, laughing. A bitter blast swept across the square. The gas-lamps flickered and became blue, and the leafless trees shook their black iron branches to and fro. He shivered and went back, closing the window behind him.
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Dorian Gray glanced at the picture, and suddenly an uncontrollable feeling of hatred for Basil Hallward came over him, as though it had been suggested to him by the image on the canvas, whispered into his ear by those grinning lips. The mad passions of a hunted animal stirred within him, and he loathed the man who was seated at the table, more than in his whole life he had ever loathed anything. He glanced wildly around. Something glimmered on the top of the painted chest that faced him. His eye fell on it. He knew what it was. It was a knife that he had brought up, some days before, to cut a piece of cord, and had forgotten to take away with him. He moved slowly towards it, passing Hallward as he did so. As soon as he got behind him, he seized it and turned round. Hallward stirred in his chair as if he was going to rise. He rushed at him and dug the knife into the great vein that is behind the ear, crushing the man's head down on the table and stabbing again and again. There was a stifled groan and the horrible sound of some one choking with blood. Three times the outstretched arms shot up convulsively, waving grotesque, stiff-fingered hands in the air. He stabbed him twice more, but the man did not move. Something began to trickle on the floor. He waited for a moment, still pressing the head down. Then he threw the knife on the table, and listened. He could hear nothing, but the drip, drip on the threadbare carpet. He opened the door and went out on the landing. The house was absolutely quiet. No one was about. For a few seconds he stood bending over the balustrade and peering down into the black seething well of darkness. Then he took out the key and returned to the room, locking himself in as he did so. The thing was still seated in the chair, straining over the table with bowed head, and humped back, and long fantastic arms. Had it not been for the red jagged tear in the neck and the clotted black pool that was slowly widening on the table, one would have said that the man was simply asleep. How quickly it had all been done! He felt strangely calm, and walking over to the window, opened it and stepped out on the balcony. The wind had blown the fog away, and the sky was like a monstrous peacock's tail, starred with myriads of golden eyes. He looked down and saw the policeman going his rounds and flashing the long beam of his lantern on the doors of the silent houses. The crimson spot of a prowling hansom gleamed at the corner and then vanished. A woman in a fluttering shawl was creeping slowly by the railings, staggering as she went. Now and then she stopped and peered back. Once, she began to sing in a hoarse voice. The policeman strolled over and said something to her. She stumbled away, laughing. A bitter blast swept across the square. The gas-lamps flickered and became blue, and the leafless trees shook their black iron branches to and fro. He shivered and went back, closing the window behind him.
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Dorian Gray glanced at the picture, and suddenly an uncontrollable feeling of hatred for Basil Hallward came over him, as though it had been suggested to him by the image on the canvas, whispered into his ear by those grinning lips. The mad passions of a hunted animal stirred within him, and he loathed the man who was seated at the table, more than in his whole life he had ever loathed anything. He glanced wildly around. Something glimmered on the top of the painted chest that faced him. His eye fell on it. He knew what it was. It was a knife that he had brought up, some days before, to cut a piece of cord, and had forgotten to take away with him. He moved slowly towards it, passing Hallward as he did so. As soon as he got behind him, he seized it and turned round. Hallward stirred in his chair as if he was going to rise. He rushed at him and dug the knife into the great vein that is behind the ear, crushing the man's head down on the table and stabbing again and again. There was a stifled groan and the horrible sound of some one choking with blood. Three times the outstretched arms shot up convulsively, waving grotesque, stiff-fingered hands in the air. He stabbed him twice more, but the man did not move. Something began to trickle on the floor. He waited for a moment, still pressing the head down. Then he threw the knife on the table, and listened. He could hear nothing, but the drip, drip on the threadbare carpet. He opened the door and went out on the landing. The house was absolutely quiet. No one was about. For a few seconds he stood bending over the balustrade and peering down into the black seething well of darkness. Then he took out the key and returned to the room, locking himself in as he did so. The thing was still seated in the chair, straining over the table with bowed head, and humped back, and long fantastic arms. Had it not been for the red jagged tear in the neck and the clotted black pool that was slowly widening on the table, one would have said that the man was simply asleep. How quickly it had all been done! He felt strangely calm, and walking over to the window, opened it and stepped out on the balcony. The wind had blown the fog away, and the sky was like a monstrous peacock's tail, starred with myriads of golden eyes. He looked down and saw the policeman going his rounds and flashing the long beam of his lantern on the doors of the silent houses. The crimson spot of a prowling hansom gleamed at the corner and then vanished. A woman in a fluttering shawl was creeping slowly by the railings, staggering as she went. Now and then she stopped and peered back. Once, she began to sing in a hoarse voice. The policeman strolled over and said something to her. She stumbled away, laughing. A bitter blast swept across the square. The gas-lamps flickered and became blue, and the leafless trees shook their black iron branches to and fro. He shivered and went back, closing the window behind him.
After chopping our ambiguously shaped, angry blob–his name is Ornery–into tiny bits, we can find how much blob we get in each slice. No wonder he's not happy. He thinks we're going to eat him. We'll learn that, by adding up all those bits, we can find his volume. Although there's nothing for Ornery to be afraid of, he's already warned his friend, Wily the wire. We're coming after him next. While this chapter will help us hone our knife skills, this is not a chapter that will teach us to assemble a masterpiece of a dinner. We won't evaluate integrals ourselves. We will be set up to discuss bigger and better things than the area under a curve, though. With our new-found splicing skills, our imaginations are our only limits. We can begin drawing and understanding our own angry blobs, outraged areas, and crossed curves. Samantha has finished her Ph.d. in meteorology, and has now joined forces with the local Shmoopville weather team. She loves getting in front of the green-screen and showing her weather chops. Sometimes she wears green, pretending to have an invisible torso. Beyond standing in front of the camera, Sam also likes to play around with the weather computers that are used to model the clouds we see on screen. These computer models use changes with respect to time (derivatives) in atmospheric variables like temperature and pressure to guess the weather. Snow in Florida? Tornado in Alaska? There's a model for that. Differential equations are used to organize and figure out complicated problems. All of these derivative variables, along with some regular old variables, can be tossed into a differential equation. Because of differential equations, we can sit inside, eating cereal in our PJ's, and know exactly what to expect it to be like outside all day. ]
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