33 Answered Questions for the topic College Calculus

04/22/22

#### Derivative integral Please Help

#### Mean Value Theorem and Average Slope help?

Let 𝑓(𝑥)=2𝑥2+5𝑥−81) Find the average slope of the function 𝑓 on the interval [−1,1]2) Verify the Mean Value Theorem by finding a number 𝑐 in (−1,1) such that 𝑓′(𝑐)=𝑚I got 3 for the average slope is...
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#### A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=8−x2. What are the dimensions of such a rectangle with the greatest possible area?

I am looking for the width and the height.

09/22/21

#### calculus interest rate question

If 1300 dollars is invested at an annual interest rate r compounded monthly, the amount in the account at the end of 4 years is given byA = 1300 (1 + 1/12(r) ) ^48Find the rate of change of the...
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09/22/21

#### Calculus Problem, brightness of a star

A Cepheid variable star is a star whose brightness, B , alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6.1...
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09/09/21

#### calculus velocity question

If a ball is thrown straight up into the air with an initial velocity of 85ft/s its height in feet after t seconds is given by y=85t - 16t^2. Find the average velocity for the time period beginning...
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#### Mean Value Theorem

Function f(x)=1/x on the interval [4,9]. Find the average/mean slope of the function on this interval. Then f'(c) is equal to the mean slope, find cmy work:a) f(x)=1/x((1/9)-(1/4))/(9-4)= -1/36b)...
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College Calculus

07/11/19

#### Calculus Tutoring on the weekends

I need a Calculus Tutor (college) for my son on Saturdays and Sundays. We would need someone between 12p-5p or after, depending how well he is understanding the lesson.Can you please tell me how...
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03/22/18

#### Related Rates Calculus 1

A trough is 10 ft long and its ends have the shape of isosceles triangles that are 4 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 11...
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09/10/17

#### Let f(x)=sqrt(x+1);Compute T1,T2 at 0. And by that I mean Taylor . I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)?

Let f(x)=sqrt(x+1);
Compute T1,T2 at 0. And by that I mean Taylor .
I know how to compute a Taylor polynomial for f(x,y) but how do I compute for f(x)?
Please help I have an exam tomorrow :( ...
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College Calculus

11/12/16

#### Find f. f ''(x) = x−2, x > 0, f(1) = 0, f(5) = 0 f(x) =

I need to find the orginal fuction for the problem

09/06/16

#### Determine if the statement is true or false. Justify answer

i44+i150-i74-i109+i61=-1
Justify answer please

#### Find the point on the graph of the function f(x) = (x+1)^2 that is closest to the point (-4,2) Round all numerical values in your answer to four decimal places.

I have tried so many ways and I'm just stuck. It's really confusing because other examples are not the same.

06/04/15

#### Find the point on the line

Find the point on the line 5x+3y+1=0 which is closest to the point (–1,3).
x= ?
y=?

#### concavity, max, min, and inflection points

Answer the following questions for the function
f(x) = xsqrt(x^2+4)
defined on the interval [-6,7]
A. f(x) is concave down on the region ____ to______B. f(x) is concave up on the region ...
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05/27/15

#### MEAN VALUE THEOREM AND AVERAGE SLOPE

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open...
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05/27/15

#### Consider the function f(x)=8sqrt(x)+7

Consider the function f(x)=8sqrt(x)+7 on the interval [36] . Find the average or mean slope of the function on this interval. By the Mean Value Theorem, we know there exists a c in the open...
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04/24/15

#### Given that f(x)=6/(x–12) and g(x)=9(/x+3), find

Given that f(x)=6/x–12 and g(x)=9/x+3, find(a)(f+g)(x) and its domain is ...(b)(f-g)(x) and its domain is...(c)(fg)(x) and its domain is...(d)(f/g)(x) and its domain is... domain must be in...
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04/24/15

#### Given that f(x)=6/x–12 and g(x)=9/x+3, find

(a)(f+g)(x) and its domain is ...
(b)(f-g)(x) and its domain is...
(c)(fg)(x) and its domain is...
(d)(f/g)(x) and its domain is...
domain must be in integral notation for all

03/13/15

#### Fine the point on the line

Find the point on the line 4x+3y–6=0 which is closest to the point (–4,1).

#### Consider the function f(t) = 6sqrt(x) + 9

Consider the function f(t) = 6sqrt(x) + 9
on the inverval [1,10].
Find the average or mean slope of the function on this interval
By the Mean Value Theorem we know there exists a c in the...
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03/06/15

#### FUNTIONS f(t) = 2w^3-33w^2+180w+11

The function f(t) = 2w^3-33w^2+180w+11 has one local minimum and one local max.
This function has a local minimum at x = ? with the value ?
and a local maximum at x equals ? with value ?

02/26/15

#### Rate of Change

At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship B is sailing north at 18 knots. How fast (in knots) is the distance between the ships changing...
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#### If f(x)= 3sin(x) + 4(x)^x

If f(x)=3sin(x) + 4(x)^x, find f'(3)

#### Change of Rate

A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min. At what rate is the volume of the snowball decreasing when the diameter is 16 cm. (Note the...
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