Calculus Answers

Say true or false
The tangent to the curve, x^3 + 6y^2 +5x =0 at (-1,1) is perpendicular to the y- axis

Find the intervals in R over which integration (-1 to x) (t+1)3et dt is decreasing

If f x =4x2-7x-2 /x-2 find a delta such that f x - 9 less than 1 /100 for 0 less than x-2 less than delta. Hence show that lim x tends to 2 f x =9

Prove that for every x greater than 0, x /1 +x2 less than tan inverse x less than x

Name of the curve √x+√y=1

Is the given statement is true or false :
Every integrable function is differentiable

Find the points of inflections of the curve y = x^4-4x^3-18x^2+1
Please solve

Integral of 1÷tan^2x+sec^2xdx

Integral of 1÷1+∛x+1

Integral of cosx÷2sin^2(x)-3sin(x)+4