The graph of a function f is shown. Which graph is an antiderivative of f?

This question explains the concept of antiderivative and how to draw its graph from the function graph. The antiderivative of a function is the

Where is the greatest integer function $f(x)= ⌊x⌋$ not differentiable? Find a formula for f’ and sketch its graph.

This question aims to find the points where the derivative of the greatest integer function or more commonly known as the floor function does not

Find the centroid of the region in the first quadrant bounded by the given curves y=x^3 and x=y^3

This question aims to find the centroid of the region which is bounded by curves in the first quadrant. A centroid is the center point of any shape

A hurricane wind blows across a $6.00 \,m\times 15.0\, m$ flat roof at a speed of $130\, km/h$. Is the air pressure above the roof higher or lower than the pressure inside the house? Explain.

What is the pressure difference? How much force is exerted on the roof? If the roof cannot withstand this much force, will it “blow in”

The current in a wire varies with time according to the relation $I=55A-\left(0.65\dfrac{A}{s^2}\right)t^2$.

How many coulombs of charge pass a cross-section of the wire in the time interval between $t=0,s$ and $t=8.5,s$? Express your answer using two