92 Answered Questions for the topic calc

09/14/19

#### Simplifying for derivative

consider the function f(x) = 4sqrt(x)-1a) Simplify as much as possible in f(4+h)-f(4)/hb) Use the result to find the derivative of f'(4)

09/14/19

#### Alternative method for Derivatives

Let f(x) = 5/(x+3)A) . Reduce with the definition f(x)-f(1)/x-1 so that there is only one x.B) . Use that answer from a to find derivative f'(1)

09/06/19

#### Use interval notation to indicate where π(π₯) is continuous.

Let f(x)= the cubed root of 3x-5Use interval notation to indicate where π(π₯) is continuous.I found x to be 5/3 and the interval notation to be [5/3,INF) however it is saying it is incorrect and I...
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09/06/19

#### What value of a will make this continuous at x=0?

The function f is given by the formula f(x)=(2x)/x^2+6x when x<0and by f(x)=cos(x)+a when x>(or equal to)0What value must be chosen for aΒ in order to make this function continuous at x=0?

08/18/19

#### TRUE OR FALSE: For all real x, y and z we have that |x β y + z| β€ |x| + |y| + |z|

TRUE OR FALSE: For all real x, y and z we have that |x β y + z| β€ |x| + |y| + |z|

08/18/19

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

Statement: "Let b β R, b>0 and let B:={x^2 | x β (βb,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?

07/05/19

#### lim n-->infinity 1^n

Is lim n β>infinity 1^n simply 1? I know 1^infinity is indeterminate form, but I read somewhere that you only have to apply log differentiation if it is a function raised to another function. If...
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06/30/19

#### Infinite series 7 / ( n^(1+(1/n)) ) from n = 8 to infinity. What test do I need to determine if this converges or diverges?

Infinite series 7 / ( n1+(1/n) ) from n = 8 to infinity. What test do I need to determine if this converges or diverges? Is ratio test involved or is another test needed? Please show work.

06/30/19

#### Infinite series 1/(2+3^n)

How do I prove the infinite series 1 / (2+3n) starting from n = 4 to infinity converges? I must use the ratio test but when I do so I am not getting a number less than 1.

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...
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06/29/19

#### Infinite series (ln(n))^998/n^(7/8) diverges

Can someone please explain why the infinite series (ln(n))998/n(7/8) diverges and doesn't converge? I was looking at the relative growth rates and noticed that nq (with q being a number greater...
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06/26/19

#### Why is the infinite series n^n/(n+1)! and n^(n+1)/n! divergent by the ratio test?

Why is the infinite series nn/(n+1)! and n(n+1)/n! divergent by the ratio test? I see how it is divergent by the test for divergence, but I am supposed to prove it through the ratio test. Every...
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03/13/19

#### A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of st

A kite 100 ft above the ground moves horizontally at a speed of 12 ft/s. At what rate is the angle (in radians) between the string and the horizontal decreasing when 200 ft of string have been let...
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01/19/19

#### limx-->1^+ ((x^2+5x-6)/(|x-x^2|)

limx-->1+(x2+5x-6)/(|x-x2|)The correct answer is 7 but I keep getting -7. I think I am doing something wrong with the absolute value bars. Can someone please show the steps for this?

01/19/19

#### f(x) = 1/(x^3-1) 1) lim x--> 1^- f(x) = 2) lim x--> 1^+ f(x) =

f(x) = 1/((x3-1) 1) lim x--> 1- f(x) = 2) lim x--> 1+ f(x) =I would like to understand the steps on how to answer these questions.

01/19/19

#### limx-->pi/2^+ (-8/cosx)

limx-->pi/2 (-8/cosx)evaluate the right hand limitI keep getting -8/0+ (since cos(pi/2) is approaching zero from the right hand side) and keep getting negative infinity as my answer, but correct...
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01/13/19

#### f(x) = x^2 - 12x, x<=6 (x is less than or equal to 6). Find the inverse of f(x).

f(x) = x2 - 12x, xβ€6. Find the inverse of f(x). I was told to use the quadratic equation, but when I do that I get a numerical answer and not an inverse equation.

01/12/19

#### Find f^-1(4) of f(x) = x^9 + x^3 + x + 1

Find f-1(4) of f(x) = x9 + x3 + x + 1The only way I know how to do this is by using a graphing calculator. I don't know how to solve it by hand though. If anyone knows what I should do, please let...
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12/09/18

#### Calculus (derivatives)

Calculus derivative helphttps://docs.google.com/document/d/1UfT3mFkkl48xP202eFL9o0CRVIq_YedMSSRpH5ztvX0/edit?usp=sharing(It wont let me add images so everything is in this google doc!)

12/03/18

#### Consider the function

f(x, y) = x2 + xy + y2 defined on the unit disc, namely, D = {(x, y)| x2 + y2 β€ 1}. Use the method of Lagrange multipliers to locate the maximum and minimum points for f on the unit circle. Use...
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08/27/18

#### If the plane is 2200 feet above the ground and the jump lasts 85 βseconds, how high above the ground was the skydiver 40 seconds after heβ jumped?

Calc word problem, solve using linear equation knowledge

05/20/18

#### how do i find max profit from just a cost function? im also given what the product sells for.

im given a cost function only and how much a product sells for. Question is asking for max profit? how do i do it?

04/16/18

#### Help with calculus!

A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a...
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01/23/18

#### Find the domain of the following function: f(x)=3x+2(x+5)(x+6)f(x)=3x+2(x+5)(x+6)

Find the domain of the following function:f(x)=3x+2(x+5)(x+6)f(x)=3x+2(x+5)(x+6)

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