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(round to 10th of a foot)

∑∞n=1 3/9n+4√n

x=y2/3, 0 to 3

y=x3/5, 0 to 2

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Evaluate the limit, if it exisit lim goes to -1 of (2x^2 +3x+1)/(x^2-2x-3)

Evaluate the limit, if it exisit lim goes to 4 of (x^2 +3x)/(x^2-x-12)

Evaluate the limit, if it exisit lim goes to 3 of (1/x)-(1/3)/(x-3)

Evaluate the limit, if it exisit lim goes to 0 of (1/t)-(1/t^2+t)

evaluate the limit, if it exists. lim h?0 (9 + h)^3 - 729/h

Evaluate the limit, if it exists. lim h?0 sqrt 25 + h - 5/h

Evaluate the limit, if it exisit lim goes to 0 of (1/t-1/t^2+t)

Evaluate the limit, if it exisit lim goes to 0 of sqrt1+t - sqrt1-t/t

Evaluate the limit, if it exisit lim goes to 3 of 1/x-1/3/x-3

Evaluate the limit, if it exisit lim goes to -1 of 2x^2 +3x+1/x^2-2x-3

Evaluate the limit, if it exisit lim goes to -4 of x^2 +3x/x^2-x-12

Simplify (x+cos x)(cos x)-(1+sin x)(1-sin x)/(x+cos x)^2

Simplify: (sqrtx+1)(1/2sqrtx)-(sqrtx-1)(1/2sqrtx)/(sqrtx+1)^2

Solve the equation for x: In(x)+In(x-1)=1

If f(x)=5^x, show that f(x+h)-f(x)/h=5^x (5^h-1/h)

find all 6 trigonometric ratios for the given angle: a.)-pi/2 b.) 2pi/3 c.)7pi/4

Solve for theta on the interval [0, 2pi): 2sin^2x -sin x=0

Solve for y^1: 4[cos x × cos y × y^1 + sin y × (-sin x)]=0

simplify (sin t + cos t)^2/sin t cos t

Solve for x: sec x= -2 give all solutions

A 10 foot ladder is leaning against a house and makes an angle of 67 degree's with level ground. How far is the top of the ladder above the ground.

Use the integral test to determine whether the series converges.

Use the comparison test to determine if the series converges or diverges

Use the shell method to find the volume of the solid generated by revolving the shaded region about the x-axis.

Find the area of the surface generated by revolving the curve about the x-axis.

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