Calculus Answers

given lim(as x approaches a) for ((x^2+bx+4b)/(x-a))= -6, find the values of a and b.

A firm's average revenue function AR=−18−7,5Q+Q2.AR=−18−7,5Q+Q2.

Determine the number of units to be produced and sold to maximise revenue.

  lim x + 2x² − x³/ 3 − x²

 lim (x²-4)/x-2

s→2

Given Lim f(x)=4 and lim g(x)=1/4,

x-›c. x->c

Evaluate the following limits

1.) Lim [-2*f(x)]

x->c

3.) Lim [f(x) +g(x)]

x->c

At what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec

Find an equation for the tangent plane to the surface 2xz^2-3xy-4x=7 at the point (1, -1, 2).

Select one:

A. 1

B. 0

What is the Jacobian matrix J(r, θ) for the polar coordinate transformation, given that x=rcos⁡θ and y=rsin⁡θ.

Select one:

A. cos⁡θ-rsin⁡θ-sin⁡θrcos⁡θ

B. -rcos⁡θsin⁡θsin⁡θ-rcos⁡θ

C. cos⁡θ-rsin⁡θsin⁡θ-rcos⁡θ

D. cos⁡θrsin⁡θsin⁡θrcos⁡θ

A spring of natural length 10 in. stretches 1.5 in. under a weight of 8 lb. Find the work done in stretching the spring

(a) from its natural length to a length of 14 in.

(b) from a length of 11 in. to a length of 13 in.

Determine where the global extrema of  f(x)=3x^2/3−2x

on the interval [−1,1] occur.