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## Related Calculus Q&A

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Q: The acceleration of a truck is given by t2 +t a(t) = cm² / sec when 0<t<1. If v(0) = 1cm/sec, t +1…

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Q: What is the derivative of r(t)=e^(4t)costi+e^(4t)sintj+e^(4t)k

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Q: Suppose an object moves along a line with velocity (in ft/s) v(t) = 6 – 2t, for 0 <t< 5, where t is…

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Q: The power consumed in an electrical resistor is given by P = watts. Use R differentials to…

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Q: A particle moves on a vertical line so that its coordinate at time t is y = t – 12t + 3, t 2 0,…

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Q: The derivative of f(x,y)=9xY at (e,1) in the direction of v=(4,3) is !!

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A: If y=4x3+2x2+11 find the approximate value of y when x=2.01using differentials

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Q: Find the antiderivative of the given derivative. ds = 5t(212 – 1)3 dt

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Q: Se f(z)dz = 0 t

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Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

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Q: The position of a particle moving along the y-axis is given by y(t) = ct³ + bt + 100, where c and b…

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Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

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Q: Find the horizontal asymptotes.

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Q: Find the indicated derivative. "针 1 if p = Vq+7 dq Select one: A.-, (q +7Wq+7 B. 1. + bML+bz C.…

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Q: Describe the change in accuracy of dz as an approximation of ∆z as ∆x and ∆y increase.

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Q: d²y nd by implicit differentiation if 3x² – 7y? = 14. dx?

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Q: Suppose y' is proportional to y and y(0) = 10 and y(1) = 20. For what value of t does y(t) = 25?…

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Q: (a) Find the derivative of fix. y. 2) = x-xy-z at P1, 1,0) in the direction of v = 2i- 3j + 6k. (b)…

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Q: the position function of a particle is given by s (t)= 3t2-t3, t greater than or equal to 0. a.…

A: The position function of a particle is s(t)=3t2-t3, t≥0

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Q: Find the derivative s of y writ xo. 145X +x?) 8.y= 5. y= e5X 15. Y = cos(e) 18. y = hm(2ēsint)…

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Q: find the value of the derivative y’ = dy/dx ye^2x=2 y+1, at ( 0, -1 )

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Q: A particle moves along the x-axis with an acceleration given by a(t) = 7t + 8, where t is measured…

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Q: A particle moves along the x-axis with an acceleration given by a(t) = 7t + 8, where t is measured…

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