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10 Cards in this Set
- Front
- Back
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d/d(x) 15x + 13 = |
15 |
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y=15x²+3x+1 y'= |
30x+3 |
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2x²+3y²+3x+2y=64 dy/dx= |
-(4x+3)/(6y+3) |
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The volume of a sphere is increased at the rate of 16 pi meters/second. When the radius is 2 meters, how fast is the radius changing? |
1 meter/second |
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The volume of a cube is increasing at the rate of 24 feet/second. When the side of the cube is 2 feet, how fast is the side changing? |
2 feet/second |
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A cone has a constant height of 3 meters. It's volume is changing at the rate of 10 pi meters/second. How fast is the radius changing when the radius is 2.5 meters? |
2 meters/second |
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The volume of a tetrahedron is increasing at the rate of 20 root 2 feet/second. At what rate is each side increasing when the sides' lengths are 4 feet? (V=(a^3)/(6*root 2)) (a=side length) |
5 feet/second |
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y=3x+5x+6+4+23 y'= |
8 |
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y=5x+2 ∫ y d(x) = |
2.5x²+2x+c |
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y=22x+5 ∫ y d(x) = |
11x²+5x+c |
