04/02/24

3.9 Related Rates

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 mm? (Round your answer to two decimal places.)   mm3/s

03/30/24

Radians vs degree mode

When it comes to trig, how do I know when to use degree mode or radians mode? I know for elevation/depression problems I have to put my calculator in degrees mode, but why do we do that?

03/29/24

The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm.

(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) (b) What is the relative error? (Round your answer to four decimal... more

03/29/24

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

F(x) = x^3-4x^2-16x+9, [-4,4]I got to the point of finding the derivative of the function where it equals: F'(x) = 3x^2-8x-16When solved, I got the solutions of x=-4/3 and x=4. When I submit these... more

03/25/24

which are impossible which are possible

A function f has f(5)=23,f′(5)=1.9 and f′′(x)<0, for x≥5. Which of the following are possible values for f(5.5) and which are... more

03/25/24

List the critical point(s) of f

Let f(x)=x^3+9x^2−21x+4Part 1: Critical PointsList the critical point(s) of f

03/24/24

The graph of the second derivative of a function is shown below. State the x-coordinate(s) of the inflection points of f

The graph of the second derivative  of a function  is shown below. State the x-coordinate(s) of the inflection points of f. If more than one value, separate your answers using commas.GIVE ME THE... more

03/24/24

A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle.

A window is in the form of a rectangle capped by a semicircle. The width of the rectangular portion is equal to the diameter of the semicircle.If the total perimeter of the window is 20 feet, what... more

Calculus Help!!

Determine the area of the region bounded by x=3+y^2, x=2-y^2, y=1, y= -2

03/12/24

how do i do this

A parabola opening up or down has vertex (0,0) and passes through (–2,1). Write its equation in vertex form.

02/29/24

Rational functions

Write a rational function with a vertical asymptotex=-2 and 2 and a horizontal asymptote y=4

02/23/24

Chris, who is 5 feet tall, is walking away from a street pole 20 feet high at a rate of 3 feet per second. His shadow is increasing as he walks farther away.

Chris, who is 5 feet tall, is walking away from a street pole 20 feet high at a rate of 3 feet per second. His shadow is increasing as he walks farther away.(a) Draw a picture to describe the... more

02/22/24

Paul was given the inequality y>or= -ax-b. He determined that all points in quadrant 2 will be solutions.

Part A: write one possible inequality Paul could have graphedPart B: Write all possible values of a.Part C: Identify all possible values of b

02/21/24

Find f ′(a). f(x) = 4x2 − 3x + 1

Find f ′(a). f(x) = 4x2 − 3x + 1

02/15/24

AP Calculus BC -- Differential Equation

Given that dy/dx =5y(3-x) and f(4) = 1, find f(x).

02/13/24

algebra question

Use the compound interest formulas Upper A equals Upper P left parenthesis 1 plus StartFraction r Over n EndFraction right parenthesis Superscript ntA=P1+rnnt and Upper A equals Upper P e... more

02/06/24

Algebra grade 7

Ted did x candy bars the first wk. The second week he did 10 more candy bars than he did the first wk. How many candy bars did he sell?

01/31/24

The count in a bacteria culture was 500 after 10 minutes and 1300 after 40 minutes.

The count in a bacteria culture was 500 after 10 minutes and 1300 after 40 minutes. Assuming the count grows exponentially. The initial size is 363.43, and the doubling period is 21.87min. Find the... more

01/31/24

Evaluate the Integral Below:

Evaluate the Integral. please show all steps.

01/30/24

Evaluate the integral

∫(from 0 to √(3)/4) dx/(1+16x2)

01/30/24

Describe the given translation as it relates to the graph of the parent function. y=x+2

Describe the given translation as it relates to the graph of the parent function.y=x+2Translation of the graph of y=x= Select Choice 2 units.Choices: Right, left, up, down

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