26 Answered Questions for the topic College Calculus

#### 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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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.

#### 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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#### 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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#### 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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#### 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 ?

#### 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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#### Implicit Diffentiation

Use implicit differentiation to find the slope of the tangent line to the curve y/(x-4y)= x^2 +8 at point (1, 9/37)

02/22/15

#### Find the following derivative: d/dx ((xe^x)/sin(2x))

i dont know how to deal with e and sine in the same equation.

02/22/15

#### Find F'(t) given F(t) = sin^-1(x) * (sqrt(sin(t)))

i dont understand this at all!! help me with this asap!!

02/22/15

#### Find dy/dx for the given function: y = 3csc(5x) - e^(1-x^2) + 3^x

csc = cosecant
confusing!!

College Calculus

02/05/15

#### What value must be chosen for a in order to make this function continuous at -3?

The function f is given by the formula:
f(x)= (6x^3+18x^2+9x+27)/(x+3) when x < -3
and by the formula: f(x) = 5x^2+6x+a when -3 ≤ x
What value must be chosen for a in order to...
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#### Fining the local linearization of f(x) and using it to estimate.

(a) Find the local linearization of f(x) = ln(1 + x3) at x = 0.(b) Use the local linearization to estimate sin(0.2).

#### Need help on calculus question!

Find the local linearization(a) Find the local linearization of f(x) = ln(1 + x3) at x = 0.(b) Use the local linearization to estimate sin(0.2).

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