#### Parabola and directrix

A parabola has a focus(0,2) and a directrix line y=1 . Describe what happens to this parabola if the directrix line moves up vertically and moves farther away from the focus.Describe what happens... more

#### limit of summation notation of (i^4/n^5+i/n^2) when n goes to infinity on interval[0,1]

evaluate limit by recognizing it as a Riemann sum for a function f(x) on the interval [0,1],and then using integrationlimit(n to inf) sigma(i^4/n^5+i/n^2) ,,(i from 1 to inf)my teacher said that we... more

#### Combine the radicals, I wasn't sure what to do with the √7, or how to simplify it, i need a brief explanation

Combine the radicals4√7+3√28

4d

#### True/False: Let b ∈ R, b>0 and let B:={x^2 | x ∈ (−b,0)}. We then have that inf(B) = 0 and sup(B) = b^2

Statement: "Let b ∈ R, b>0 and let B:={x^2 | x ∈ (−b,0)}. We then have that inf(B) = 0 and sup(B) = b^2"I'm not sure where to start with this question. Can anyone help?

#### Find the area of the region bounded by following

Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or y. Find the area of the region bounded by:2y=5sqrtxy=32y+4x=9

14d

#### If y= Find dy/dx

y= (4x-5)^3 (4x+2)^3 find dy/dx how do i solve this problem to find dy/dx?

#### Height of a Statue

A statue is mounted on top of a 42 foot hill. From the base of the hill to where you are standing is 73 feet and the statue subtends an angle of 10.3° to where you are standing. Find the height of... more

#### Think book answer may be wrong

Hi, Our school course book is Understanding Pure Mathematics by Sadler and Thorning and we are asked to solve cot(2x) = -2/5 for which the book gives four answers: 55.9, 145.9, 235.9, and 325.9.... more

07/15/19

#### Derive equation y=kx that cuts through a given circle. Which value is k?

Derive the equation y = kx for a straight line which cuts a 90 degrees arc of the circlex2 + y2 - 6x - 2y + 5 = 0The line goes through the origin.What is the value of k? The answer should have at... more

07/02/19

06/29/19

#### Find the sum of the infinite series (-1 + (-3)^n) / 4^n from n =2 to infinity

Find the sum of the infinite series (-1 + (-3)n) / 4n starting from n = 2 all the way to infinity. I figured it would be a geometric series, but I am having trouble finding the ratio in order to... more

06/27/19

#### IMPOSSIBLE QUESTION!!! I have the question in the link below.

https://docs.google.com/document/d/1-7UkQpvidcO4-gMiuDlPSLCV7AUchLWHWAt2D1P2xwM

06/06/19

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05/18/19

#### Geometry I NEED Help

Write the equation of the tangent line to the circle ( x - 2 )2 + ( y + 3 )2 = 25 at ( 6,0 )

05/14/19

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05/03/19

#### What are the maximum and minimum values of f(x) = x^2 e ^x + 4xe^x + 16?

1. Let f(x) = x 2 e x + 4xex + 16. (a) Determine the maximum and minimum values of f(x) and determine whether they are local or global max/mins. It may help to know that limx→∞ f(x) = ∞ and lim... more

05/02/19

#### what numbers make 14 and when you subtract them make 6?

I am 9 and i have gotten alot of "which numbers make this number but when you subtract make this number" questions.

05/01/19

05/01/19

05/01/19

04/25/19

04/25/19

#### What is the range of the function defined by f(x)=x+2/x

What is the range of the function defined by f(x)=x+2/x :a) [2,+∞)b) (-∞,-2√2)∪(2√2,+∞)c) (-∞,+∞)d)( -∞,1)∪(1,+∞)please explain how to find range

04/25/19

#### finding circumference

How can I find the circumference of a circle with an area of 66.5 in squared?

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