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 or object and in this case the center point of any shape drawn in 2D. Another way to define the Centroid is, the point of the region […]

# Category Archives: Calculus Q&A

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” or “blow out?” The main objective of this problem is to determine the air pressure, pressure difference, and the force exerted by hurricane wind on the roof. Bernoulli’s equation is being […]

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 significant numbers. What constant current would transport the same charge in the same time interval?Express your answer using two significant numbers. The primary objective of this problem is to calculate the […]

### The integral represents the volume of a solid. Describe the solid. $\pi\int\limits_0^1(y^4−y^8)\,dy$

The integral represents the volume of the solid obtained by rotating the region $R={{x, y}| 0leq yleq 1, y^4leq xleq y^2}$of the $xy-$plane about the $x-$axis. The integral represents the volume of the solid obtained by rotating the region $R={{x, y}| 0leq yleq 1, y^2leq xleq y^4}$of the $xy-$plane about the $x-$axis. The integral represents […]

How many international students would you expect to find in a typical cluster? With what standard deviation? This question aims to find the expected number of international students in a typical cluster along with their standard deviation. Take into consideration what a random variable is: a collection of numerical values resulting from a random process. […]