25,270 Answered Questions for the topic calculus

Calculus

08/12/24

How Derivatives Affect the Shape of a Graph 6
Consider the function 𝑓(𝑥)=7(𝑥-2)2/3. For this function there are two important intervals: (-∞,𝐴) and (𝐴,∞) where 𝐴 is a critical number.𝐴 is   For each of the following intervals, tell... more
Follows • 1
Expert Answers •1
Calculus

08/12/24

How Derivatives Affect the Shape of a Graph
Consider the function 𝑓(𝑥)=𝑥2𝑒6𝑥.𝑓(𝑥) has two inflection points at x = C and x = D with C < Dwhere C is   and D is   Finally for each of the following intervals, tell whether 𝑓(𝑥) is concave up... more
Follows • 1
Expert Answers •1
Calculus

08/12/24

Find increasing and decreasing intervals

Consider the function 𝑓(𝑥)=𝑥2𝑒13𝑥.For this function there are three important open intervals: (-∞,𝐴), (𝐴,𝐵), and (𝐵,∞) where 𝐴 and 𝐵 are the critical numbers.Find 𝐴   and 𝐵   For each of the... more
Follows • 1
Expert Answers •2
Calculus

08/12/24

Local Max and Min of a graph...

The function 𝑓(𝑥)= 5𝑥 + 9𝑥^-1 has one local minimum and one local maximum.This function has a local maximum at 𝑥=   with value   and a local minimum at 𝑥=   with value   
Follows • 1
Expert Answers •1
Calculus

08/12/24

How Derivatives Affect the Shape of a Graph
Consider the function 𝑓(𝑥)= 12𝑥^5 + 75x^4 - 120𝑥x^3 + 7.𝑓(𝑥) has inflection points at (reading from left to right) x = D, E, and Fwhere D is   and E is   and F is   
Follows • 1
Expert Answers •2
Calculus

08/10/24

How do I draw the region bounded by the curves, and use the disk method to find the volume when the region is rotated around the x-axis, for y = sin x, y = cos x, and x = 0?
looking for step by step, and with graph please. Thank you.
Follows • 1
Expert Answers •2
Calculus

08/08/24

Linear Approximations and Applications
Use linear approximation, i.e. the tangent line, to approximate 1.7^7 as follows:Let 𝑓(𝑥) = 𝑥^7. Find the equation of the tangent line to 𝑓 (𝑥) at 𝑥 = 2𝐿(𝑥) =   Using this, we find our... more
Follows • 1
Expert Answers •2
Calculus

08/08/24

Linear Approximations and Applications
Let 𝑦= 5𝑥^2 + 3𝑥 + 3. If Δ𝑥 = 0.3 at 𝑥 = 2, use linear approximation to estimate delta y.
Follows • 1
Expert Answers •2
Calculus

08/08/24

Linear Approximations and Applications # 2
Use linear approximation, i.e. the tangent line, to approximate 4.7^3 as follows: Let f(x) = x^3. Find the equation of the tangent line to f(x) at x = 5. L(x) = ______Using this, we find our... more
Follows • 1
Expert Answers •1
Calculus

08/08/24

Linear Approximations and Applications
Let y = 4x^2 +5x + 3. If delta x = 0.2 and x = 2 show how to use linear approximation to estimate delta y. delta y is approximately? _______ Please show steps with explanation. Not a video.
Follows • 1
Expert Answers •2
Calculus

08/06/24

related rates Problem 15
The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the triangle is increasing at a rate of 5 square centimeters/minute. At what rate is the base of the... more
Follows • 1
Expert Answers •1
Calculus

08/06/24

Related Rates Problem

A square tile is expanding as it is heated. Right now, the 16 cm tile is growing by 1.75 cm per hour. At what rate is the area of the tile changing?
Follows • 2
Expert Answers •1
Calculus

08/06/24

Related Rates Problem :(
A balloon is rising at a rate of 5 meters per second from a point on the ground 46 meters from an observer. Find the rate of change of the angle of elevation from the observer to the balloon when... more
Follows • 1
Expert Answers •1
Calculus

08/06/24

Related Rates Problem
A spherical balloon currently has a radius of 16 inches. If the radius is still growing at a rate of 3 inches per second, at what rate is air being pumped into the balloon?Round answer to nearest... more
Follows • 1
Expert Answers •1
Calculus

08/06/24

Related Rates Problem

The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12pir ^2 if the expression for dV/dt = 24pir dr/dtAnd suppose that the radius is expanding at a rate of... more
Follows • 1
Expert Answers •1
Calculus

08/06/24

If f(x) = 2/x^2 find f'(3)
If f(x) = 2/x^2 find f'(3)
Follows • 1
Expert Answers •2
Calculus

08/06/24

find the derivative of the function
g(x) = (4x^2 + 3x +4) e^x g'(x) = ?? leave answer in ( 4x^2 + ?x + ?)
Follows • 2
Expert Answers •2
Calculus

08/06/24

Find the derivative of the function
g(x) = (2x^5 + 5x +5 ) e^x g'(x) = ?
Follows • 1
Expert Answers •2

08/06/24

Math Help with Line Graph!!. thank you so much
So, for the y side would it be like: 3.6 (-35D), 4.2 (-25D), 4.8 (-15D), 5.4 (Mean), 6.0 (+15D), 6.6 (+25D), 7.2 (+35D). and will my mean for december be 5.4, and the sd 0.6, and the limit of... more
Follows • 2
Expert Answers •1
Calculus Physics

08/03/24

How do we derive the moment of inertia of a rod?
Follows • 1
Expert Answers •1
Calculus Math Physics

08/03/24

An object is fired into the air from a height of 250 meters and follows a path given by a vector valued function
r(t) = <75t, 250+55t-4.9t^2>The object is fired from a height of 250 meters, and follows a path given by the vector valued function above.(1) Find the angle that the object was fired from,... more
Follows • 2
Expert Answers •1
Calculus

08/03/24

Find the slope of the tangent line to the curve below at the point (2,7)

Find the slope of the tangent line to the curve below at the point (2,7)√(3x+2y) + √(3xy) = 10.952876653407 Everything in the parentheses is under the square root. Leave your answer in a negative... more
Follows • 1
Expert Answers •2

08/03/24

How to use implicit differentiation on a trignometric and natural logarithm equation to find dy/dx
For sin xy + cos y + x2 = e^(x2) + ln x, how can I use implicit differentiation to find dy/dx ?
Follows • 2
Expert Answers •2

08/02/24

Finding the Area of a given Enclosed Region
How would I find the area of the region enclosed by f(x) = 2x2 and y = 12-2x, and also how would I sketch the graphs?
Follows • 1
Expert Answers •3
Calculus

08/01/24

Separable equations

Find the solution of the differential equation that satisfies the given initial condition.dy/dx =  5xey,    y(0) = 0 .
Follows • 1
Expert Answers •2

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.