Calculus Answers

Find the area of a loop of the curve
r = a sin 3theta

Find the volume of the solid generated by 5
the revolution of the curve (a — x)y^2= a^2x,
about its asymptote.

Prove that In (1 + x) < x for all x > 0.

Revenue flow into a fund at a rate of f(x)=8000x and x denote time in years.if the money flows into the fund over 4 years period is compounded continuously at the rate of 10%,find present and future value

find lim x → ∞ [{√x+(√x+√x)} - √x]

-Find the derivative of f(x) = 8x2 + 11x at x = 7.

-Find the derivative of f(x) = 3x + 8 at x = 4.

-Find the derivative of f(x) = 5 divided by x at x = -1.

-Find the derivative of f(x) = negative 7 divided by x at x = -3.

New domain of the function f given by f x is equal to under root 2 - X upon X is zero one is it true or false give reason

Find the indicated limit, if it exists.

limit of f of x as x approaches negative 1 where f of x equals 4 minus x when x is less than negative 1, 5 when x equals negative 1, and x plus 6 when x is greater than negative 1

Find the indicated limit, if it exists.

limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0

Prove the limit by epsilon - delta definition lim (x^2+4)=13 when x tends to 3