(a) f(x) = x2 - 2x from x = -1 and x = 2 (b) f(x) = 1/x - 1/e from x = 1 and x = e2

(a) f(x) = x2 - 2x from x = -1 and x = 2 (b) f(x) = 1/x - 1/e from x = 1 and x = e2

L(x)=f(a)-f'(a)(x-a) f(x)=lnx f'(x)= (1/x)(1) Now I am stuck with putting into the linear approximation equation. I think its L(x)=lne-(1/e)(x-e) but am not sure...

The radius of the crowd increases at a rate of 6 ft/sec. How fast is the area taken up by the crowd increasing when the radius is 14 ft? Related Rates of AP Calculus!!!! Please help!...

If f(x) is even and ∫(from -2 to 2) (f(x) − 8) dx = 2, find ∫(from 0 to 2) f(x) dx

Find the exact average value of the function over the given interval. f(x) = 8x + 12 over [1, 7] average value=

f(x)=5/2x+3

I need to figure out the distance of the car in the problem

Suppose a population's doubling time is 19 years. Find its annual growth factor b and annual percent growth rate r

What are the dimensions of the biggest possible volume (absolute maximum) of a triangular prism given the length and girth must equal 108 inches? Thanks! I struggle with optimization to...

Ross-Simons Company has a monthly advertising budget of $80000. Their marketing department estimates that if they spend x dollars on newspaper advertising and y dollars on television advertising,...

According to the data from a company, the marginal revenue of a product (in billions of dollars per year) is approximated by 3.91+0.07x+0.018x^2, where x=0 corresponding to 1986. What is the...

Evaluate S⌠⌠(∇xF)•ndS where S is the portion of the ellipsoid x^2+y^2+4z^2=4 below the xy-plane, n points to the convex side of S, and F(x,y,z)= <exp{z^2}, z-y, 3xsiny>...

a rectangular closed box of height h with a square base of side b has a volume V = 64m3 . the two squares bottom and the top side are made of material cost $20/m2 and the remaining sides cost $10/m2...

An ice cube that is 15 inches on each side is melting at the rate of 1.5in3 per minute. How fast is the length of its side decreasing

According to Ohm's Law, the voltage V, current I, and resistance R in a circuit are related by the equation V = I * R, where the units are volts, amperes, and ohms. Assume that voltage is constant...

The radius of the pool increases at a rate of 5 cm/min. How fast is the area of the pool increasing when the radius is 5 cm? Related Rates of AP Calculus!!!! Please help!!!

The radius of the spill increases at a rate of 8 m/min. How fast is the area of the spill increasing when the radius is 8 m? Related Rates of AP Calculus!!!!Please help!!!!!

Liquid is flowing out of the funnel at the rate of 12 cm^3/sec. At what rate is the height of the liquid decreasing at the instant when the liquid in the funnel is 20 cm deep? Related...

The lamp on the post is 5 m high. How fast is the length of the persons shadow decreasing when the person is 3 m from the post? Related Rates of AP Calculus!!! Please help!!!!

If the distance s between the airplane and the radar station is decreasing at a rate of 400 km per hour when s=10 km, what is the horizontal speed of the plane? Related Rates...

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