5x+3y=7

A 5 foot tall women is walking at a rate of 2 ft/sec toward a street lamp that is 15 feet tall. How fast is the length of her shadow changing when she is 4 feet away from the street lamp?

Find y' if y = 5 ln x

2x+5

Find the Left hand sum of y=-x^2+2x+11 [0,4] and n=4

x^2-y^2=16

A 13 foot ladder is leaning against a house when it's base starts to slide away. By the time the base is 12 feet away from the house, the ladder is sliding down the wall at a rate of 3 ft/sec. how fast is the base of the ladder sliding away from the wall at that moment?

Find x'' if f(x) = x

x^5-2x^3+4/x^2

Find the right hand sum of y=x^2+5 [1,3] and n=4

(x^3)(y^3)-y=x

The radius of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of the area of the circle when the radius is 9 inches.

Find y' if y = (3x^2 - 1)^5

3cosx/sin^2x

Find the midpoint sum of y=-x^2+2x+10; [1,2] and n=4

2sinxcosy=1

A spherical snowball is melting at a rate of 6 cm^3/min. How fast is the radius of the snowball changing when the radius of the snowball is 3 cm?

Find y' if y = ln(5x + 6)

Determine the original function given the following. f''(x)=1, f'(3)=10, f(-4)=-24

Find the trapezoidal sum of y=(-1/2)x^2 +6; [-3,1], and n=4

lny+3xy=8

A spherical balloon is inflated so that its radius increases at a rate of 2/pi cm/sec. How fast is the volume of the balloon increasing when the radius is 4 cm?

Find y' if y = (2x - 3)(5 - 7x^3)

Let s(t) be the starting position of an object, v(t) be the velocity, and a(t) be the acceleration. Find s(t) if a(t)=2x; v(-1)=2, s(3)=2

If the prior problems were repeated at n=8, would answers be more accurate or less accurate under the curve? Give a brief explanation