Calculus Resources

Prove that if π(π₯) and π(π₯) are infinitely-differentiable functions (that is, you can take as many derivatives of them as you like) that (ππ)(π) or the ππ‘β derivative of the product of π...

Determine the coordinates on the graph of Y=x^4-8x^2 where the tangent lines to the curve are horizontal. I need help with this problem. I know I have to take the derivative but what is left?&nbs...

if 81% of schedule flights actually take place and cancellations are independent events, wha t is the probability that 3 separate flights will take place

A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...

Graph r= cos 15ΞΈ/16, what pattern of the graph we will get and explain what happen if the domain grows bigger? Thank you

r= e^cos ΞΈ -2cos4ΞΈ + sin^3 ΞΈ/4 What will be the interval for ΞΈ in order to get a butterfly curve?

Why? Is that because of the shape? May I know more explanation why  r = ΞΈ cos ΞΈ is called the Garfield curve?

this equals to?

At time tβ₯0 the acceleration of a particle that is moving along the x-axis is a(t)=t+2sin(t). At t=0 the velocity of the particle is -4. For what value of t will the velocity of the particle be...

If the region enclosed by the y-axis, the line y=2, and the curve y=3βx (cubed rt of x), is revolved about the y-axis, the volume of the solid generated is? Can you solve without a calculator...

The base of a solid S is the region enclosed by the graph of y=βln(x-1), the line x=2e, and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, then the volume of S is...