Calculus Problem

I posted this Question on a previous ocassion, whilst I was given an answer which I am sure is correct, the OTA answered the question using the PRODUCT RULE. I find the answer given very hard to follow and I believe from my notes that I would probably understand the method for answering such questions easier using the QUOTIENT R ...continues

Integration

I have an answer for this problem athough it is slightly out from what I get on my calculator, could you solve this showing every step involved and explain how to and why each part of the problem is integrated. Evaluate integate (3sin2x - 2cos3x)dx a=pi/4 and b=pi/2 I hope this is ok I can't get my equ ...continues

Multivariable 7.3.11

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Multivariable 7.3.12

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Derivative of a double integral

Please see attachment.

Derivatives of Trigonometric Functions

Find the limit. lim (sin4x)/(sin6x) h->0

Specify the domain of the given function.

h(u)= ^4 to the square root of u^2-4

Find the composite function f(g(x)).

f(u) = u^2, g (x) = 1/x-1

obtain the composite functions f(g(x)) and g (f(x)), and find all (if any) values of x such that f(g(x)) = g (f(x))

f(x)= the square root of 2x+1, g(x)= 1-3x

sketch the graph of the given function. Include all x and y intercepts

f(x)= (x^2-1 if x is less than or equal to 2) (3 if x is greater than 2)