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(4/3 x2 - 7/x - cos(4x)))dx x2e4xdx x(ln(2x))dx A zippy vehicle can accelerate f

ID: 2834378 • Letter: #

Question

(4/3 x2 - 7/x - cos(4x)))dx x2e4xdx x(ln(2x))dx A zippy vehicle can accelerate from a standing start to a velocity of v(t)= -0.06t2 + 12t feet per second after t seconds, (for 0 t 200 ). Please find a formula for the position of the vehicle from the showroom floor after t seconds. (Its position at the beginning is one hundred twenty feet from the showroom floor.) What are any critical points of f(x,y) = 7x3 + 3y2 - 126xy - 63 ? Please identify as a relative maximum point, a relative minimum point, or a saddle point each relative extreme point of the Junction f(x,y) = 7x3 + 3y2 - 126xy - 63. Please maximize the function f(x,y) = 12xy - x2 -3y2, subject to the constraint x + y = 16, using the method of Lagrange multipliers. Please use the formula to find the sum of the following series: -4/3(-2)i. What is the present value of payments of $1,200 made semi-annually for five years at 6% compounded semi-annually? What payments are necessary to amortize a loan of $6,400 at 12% compounded quarterly for two years?

Explanation / Answer

1. -6x^(1/3) -7ln(x) -sin(4x)/4 + C

2.   (8x^2?4x+1)* (e^4x) /32 +C

3. (x^2)(2*ln(x)?1) /4 +ln(2)*(x^2) / 2 + C

5. (0,0) and (126, 2646)

8. -112/9