Math Answers

We know that 10% people who purchase cars buy manual transmissions and 90% people purchase automatics.Three people purchase a car. find the probability distribution for the number who purchase automatics

We know that 10% people who purchase cars buy manual transmissions and 90% people purchase automatics.Three people purchase a car. find the probability distribution for the number who purchase automatics

A cone made of paper is used to drink water from. It is made from circular paper with a radius of 12 cm, with a sector of 120° cut out. Calculate the area of paper needed to make the cone cup.

The average pre-school cost for tuition fees last year was ₱17,250. The following tear, 20 institutions had a mean of ₱16,150 and a standard deviation of ₱2,250. Is there sufficient evidence at a = 0.10 level of significance to conclude that the mean cost has increased?

The equation of motion of a body is given by d²y/dt² + 4dy/dt + 13y = e^2tcost , where y is the distance and t is the time.

Determine a general solution for y in terms of t.

Determine the unique solution of the following differential equations by using Laplace transforms:

a. y"(t) - 6y'(t) + 9y(t) = t²e^3t if y'(0) = 6 and y(0) = 2

b. y"(t) - 2y'(t) + 3y(t) = e^-3t if y'(0) = 0 and y(0) = 0

Use two different methods to determine L^-1 {(11 - 3s)/ (s² + 2s -3)} Show that your answers are equal.

Find the slope and the equation of the tangent of the curve at the given point. Show your solution.

1) y = 2x² -x + 2 (-1, 5)

2) y = x² + x + 1 at (-2, 3)

Find the slope of the curve at the given point. Show your solution.

1) y = 4 - 3x² at (-1, 1)

2) y = x² – 5 at (1, -4)

3) y = 2x² – 5 at (2, 3)