Calculus Answers

Differentiate: y=(1-secx)/(tanx)

A three-sided fence is to be built next to a straight section of river,witch forms the fourth side of a rectangular of a region.
The enclosed is to equal 1800 feet.
Find the minimum perimeter and the dimensions of the corresponding enclosure.

Could You help, please, with integrate e^(-x-mu x^2) between - infinity and + infinity?

What is the antiderivative for x^2(x^2-1)^1/2?

Is there a bounded function f: R → R that f(1) > f(0) and ∀ x, y ∈ R: f(x + y) ≥ f²(x) + 2f(xy) + f²(y)?

It is known that the sequences {xn} and {yn} have a limit. If we form the sequence {x1; y1; x2; y2; … ; xn; yn; … } would it have a limit?

If a is an element of {-5,-4,...,5,7} and b is an element of {-6,-5,...,4,5}, what is the largest and smallest values of ab?

What is the area of y=e^x, y=e^6x, x=0, x=ln2?

Solve for y(s), the Laplace transform of the solution y(t) to the given initial value problem
y"+y'-y=t3;y(0)=0, y'(0)=0?

1) using 2nd derivative tet if applicable, find relative extrema for

f(x) = 2x^3 - 5/2x^2 - 16x - 30