Find the limit as x goes to 0: (ln(1+x2)-x(arctan(x)))/(x(sin(x)-x)) At first the fraction found is 0/0, but applying L'Hopitals rule, when differentiated...

Find the limit as x goes to 0: (ln(1+x2)-x(arctan(x)))/(x(sin(x)-x)) At first the fraction found is 0/0, but applying L'Hopitals rule, when differentiated...

Consider the definite integral ∫13 (-4x-5)dx Find a closed form expression for the nth right Riemann sum of this integral. ...

I have a TI-84 and need help solving a question regarding parametric equations. I can't get Y to be 0 so I can get an exact value for T when it crosses the X axis

A population of 410 bacteria is introduced into a culture and grows in number according to the equation below, where t is measured in hours. Find the rate at which the population is growing when t...

I also have to explain my reasoning

Find the average value of the function over the given interval. f(x) =8/x^2 , [2, 4]

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and...

A curve C is given by the equation: x2 + y2 = (2x2 + 2y2 − x)2 (a) Find all points (0, y) on the curve C, where y≠0. (b) At each of the points found...

y=x2+1

n ∑ 4i+3/n2 i=1

Water is being pumped from an inverted right circular conical tank at the rate of 36 ft^3/min. The tank, which stands vertex down and base up, has a height of 12 ft and a base diameter of 16 ft. How...

I really need to learn how to do this problem. Thanks so much!

How do I find all the possible zeros of f (x)= 2x^3-x^2+3x-4

Suppose melting snow causes a river to overflow its banks and h(t) is the number of inches of water on Main Street t hours after the melting begins. (a) If h'(200)=2 , by approximately how much...

List all possible rational zeros of f (x)= 2x^3-4x^2+5x-3. Then determine the rational zeros.

A long level highway bridge passes over a railroad track that is 100 feet below it and at right angles to it. If an automobile traveling 45mph (66ft/s) is directly above a train engine going 60mph...

Calculus Solution Please

Calculus AB

This is for Calculus AB

I really need to learn how to do this problem. Thanks so much!