How do you calculate the axis-aligned bounding box of an ellipse?

If the major axis of the ellipse is vertical or horizontal, it's easy to calculate the bounding box, but what about when the ellipse is rotated? The only way I can think of so far is to calculate... more

06/19/19

How do I find the tangent to y=x²+7 for any value of x?

CAS and doing math by hand

Since we have computer algebra systems that can solve polynomial division problems for us, why is it necessary to learn how to do these things by hand?

Solve ∫(x-1)/(x³+x²+x)^(1÷2)dx

use a substitution as t=x+1+1÷x

06/19/19

9^(2x+4)=26.3^(2x+3)+3

06/18/19

Calculus Limits questions including a graph

Could someone please help me with this question? Thanks!Determine lim𝑥→4𝑓(𝑥) for the function 𝑓(𝑥) shown in the figure below

You and 6 friends (7 people total) go out to a movie. You were able to get a group discount so the total cost of the tickets including tax was $48.93. How much did your ticket cost?

You and 6 friends (7 people total) go out to a movie. You were able to get a group discount so the total cost of the tickets including tax was $48.93. How much did your ticket cost?

06/17/19

Calculus Derivatives

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x) = (x^2-16)/(x-2) with x ≠ 2. Find all values of x where the graph of g has a critical... more

What is - 12/19 in a whole number

06/16/19

Normal Distribution - Find Area

At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 170 calls and a standard deviation of 15 calls. What is the... more

06/16/19

Algebra 1 Flight with Completing the Square

The height of a ball thrown from the top of a platform can be modeled by the equation f(x) = -16x^2 + 64x -34, where f(x) is the height, in feet, x seconds after the ball was thrown. 1. Complete... more

06/12/19

URGENT, TWO ALGEBRA 2 QUESTIONS

You work for a roofing company and must order the correct number of tiles to complete the final side of the roof. It is in the shape of a trapezoid. The numbers of tiles in each row form a... more

06/09/19

How to convert polar form equation rcos(θ)-sin(θ)=0 to rectangular form?

I know that rcos(θ)-rsin(θ)=0 is really easy to be converted into rectangular form, so I wonder what should I do for the equation rcos(θ)-sin(θ)=0 ? (There is no "r" before sin(θ).)

06/09/19

Speed, time and distance

Suppose a cyclist began a 646 mi ride across a state at the western edge of the state. At the same time that a car traveling towards it leaves the eastern end of the state. If the bicycle and car... more

06/06/19

Need help please.

tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. in the high season, 1200 people come to the zoo every day. on a certain day, the total revenue at the zoo was $5300. for... more

06/06/19

whats the answer

This season, the probability that the Yankees will win a game is 0.45 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and... more

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