Calculus Answers

When a square metal plate 15 cm long is heated, its side increases by 0.05 cm.

If the plate is cooled and its side decreases by 0.05, how much did its area decrease?

If it is a cubic plate and it is cooled by decreasing its side by 0.05, determine how much its volume decreased?

Find the asymptotes parallel to the coordinate axes

y^2-a^2(x-a)=0

let X1=1 and Xn+1=sqrt(3xn) for all n€N show that (Xn) is bounded monotone and converges to 3

Six women and five men walk into an

appliance store at thesame time. There are five

salesperson available to help them.Find the

probability that a salesperson will first help at

least 2 women

1.graph the height of a right triangle as a function of the base ,if the hypotenuse is fixed at 10.

2.graph the diameter of a circle as a function of it's circumstances.

3.determine whether the following function is continuous or discontinuous .

f(x)=3x+2/x^2-6

a.at x =-1

b.at x =-2

Evaluate the integral of sin³ y cos 2y dy from 0 to 𝜋/2.

Evaluate the integral of sin³ y cos 2y dy from 0 to 𝜋/2.

Find the area bounded by the y-axis, the line y = 1, and the arc of y = sin x between x = 0 and x = 𝜋/2.

Calculate the area bounded by y = x³, x = 0 and y = 4.

Given: x = e^2t - 1 and y = e^2t + 1. Find y’.