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Calculus

06/27/23

Derivative Velocity/MPH

A ball is dropped from the top of the Empire State building to the ground below. The height, y, of the ball above the ground (in feet) is given as a function of time, t (in seconds), byy = 1250 -... more

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Calculus

06/26/23

Limits with algebra

Can someone please explain this problem step by step as how you get the answer -1/16lim(h->0) (1/(4+h) - 1/4)/h

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Calculus

06/26/23

Prove that: d/dx (cosh^(-1) x) = (1/√(x^2 - 1))

Problem #1. Prove that:d/dx (cosh-1 x) = (1/√(x2 - 1))Problem #2. Evaluate the derivative:d/dx [cosh(ln x)]Problem #3. Compute the definite integral:∫10 (1/√(16x2 + 1)) dx

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Calculus Math Algebra 1 Algebra 2

06/26/23

Expand the function f(x) = 1/(3-x) in a Taylor series around a=2 and determine the interval of convergence.

Hi can u help me solve this question step by step. I dont reaaly understand and it would be perfect to have a visual reference. Thanks

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Calculus

06/25/23

A theme park sells tickets at a price of $150 per person. After 5,000 people have bought entrance into the park, however, the park reduces the ticket price by $0.50 for every extra person.

Using calculus skills, find the number of entrants that maximizes the revenue received at the theme park. And show your work step by step

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Calculus

06/25/23

Consider the polynomial function f(x) = x^3 − 2x^2 + x − 2

By hand, using calculus skills, find all critical points of f(x). Find the absolute extrema of f(x) on the interval [0, 1], label them appropriately.

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Calculus

06/25/23

Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions. (Round your answer to the nearest integer.) [0, 16], n = 4

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Calculus

06/25/23

Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places.

If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) f(x) = 4e^−x over [0, 10], n = 5

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Calculus

06/25/23

Second Derivative Graphing Points

Hello Can someone please help me with this question, I have tried it a couple of times but cant seem to get the correct points that I am supposed to have. I have attached the link to the picture... more

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Calculus Math

06/24/23

calc question differential

Let y=tan(3x+6)Find the differential dy when x=4 and dx=.1find the differential dy when x=4 and dx=.2

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Calculus

06/24/23

Find the area enclosed by the curve

Find the area enclosed by the curve r= 10(1+cos(theta)).

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Calculus Math

06/24/23

Tangent Line Calc

let f(x) = (2sinx)/(4sinx+6cosx)the f'(x)= 12/(4sin(x)+6cos(x))^2the equation of the tangent line y=f(x) at a pi/2 can be writen in y=mx+b form m=b=

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Calculus

06/24/23

Can someone explain how to prove their is only one real root?

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Calculus

06/24/23

compute lim t->0 cos(pi/sqrt19-3sec2t). is the function continuous at t=0?

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Calculus

06/24/23

find an interval of length 0.5 containing a root of f(x) = x^3 +2x+1

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Calculus

06/24/23

putting question in description

A rectangular box with a volume of 320 cubic feet is to be constructed with a square box and top. The cost per square foot for the bottom is 15 cents, for the top is 10 cents, and for the sides is... more

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Calculus

06/24/23

We Are Piglet Farms wants to create a pen using their barn for one of the sides as shown below. The farms have a total of 600 feet of fence. What is the maximum area that can be enclosed?

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Answers •2

Calculus

06/24/23

Let f(x) = 4x. Use a Riemann sum with four subintervals of equal length (n = 8) to approximate the area of R.

Choose the representative points to be the left endpoints of the subintervals. on the interval [0, 2]

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Calculus

06/24/23

Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals.

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Calculus

06/24/23

Find an approximation of the area of the region R under the graph of the function f on the interval [0, 3].

Use n = 5 subintervals. Choose the representative points to be the midpoints of the subintervals. (Round your answer to one decimal place.) f(x) = 2e^x

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Calculus

06/23/23

Find the area bounded by the curve

Find the area bounded by the curve x = t − (1/t)y = t + (1/t)and the line y = (17/4).Area = ? .

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Calculus

06/23/23

Use the Parametric Equations of an Ellipse

Use the parametric equations of an ellipsex = 12cos⁡(theta)y = 18sin⁡(theta)0 ≤ (theta) ≤ 2pito find the area that it encloses.

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Calculus

06/23/23

Consider the Parametric Equation

Consider the parametric equationx = 9(cos⁡(theta) + (theta)sin⁡(theta))y = 9(sin⁡(theta) − (theta)cos⁡(theta))What is the length of the curve for (theta) = 0 to (theta) = (11pi)/2?

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Calculus

06/23/23

If 36+3f(x)+x^2(f(x))^3=0 and f(−1)=−3, find f′(−1).

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Calculus

06/22/23

Maximize. Use n for number of Newspaper advertisements and r for number of Radio advertisements .

A company has $4,910 available per month for advertising. Newspaper ads cost $130 each and can't run more than 19 times per month. Radio ads cost $310 each and can't run more than 28 times per... more

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Derivative Velocity/MPH

Limits with algebra

Prove that: d/dx (cosh^(-1) x) = (1/√(x^2 - 1))

Expand the function f(x) = 1/(3-x) in a Taylor series around a=2 and determine the interval of convergence.

A theme park sells tickets at a price of $150 per person. After 5,000 people have bought entrance into the park, however, the park reduces the ticket price by $0.50 for every extra person.

Consider the polynomial function f(x) = x^3 − 2x^2 + x − 2

Use the given graph to estimate the left Riemann sum for the given interval with the stated number of subdivisions. (Round your answer to the nearest integer.) [0, 16], n = 4

Calculate the left Riemann sum for the given function over the given interval using the given value of n. (When rounding, round your answer to four decimal places.

Second Derivative Graphing Points

calc question differential

Find the area enclosed by the curve

Tangent Line Calc

Can someone explain how to prove their is only one real root?

compute lim t->0 cos(pi/sqrt19-3sec2t). is the function continuous at t=0?

find an interval of length 0.5 containing a root of f(x) = x^3 +2x+1

putting question in description

We Are Piglet Farms wants to create a pen using their barn for one of the sides as shown below. The farms have a total of 600 feet of fence. What is the maximum area that can be enclosed?

Let f(x) = 4x. Use a Riemann sum with four subintervals of equal length (n = 8) to approximate the area of R.

Use a Riemann sum with four subintervals of equal length (n = 4) to approximate the area of R. Choose the representative points to be the left endpoints of the subintervals.

Find an approximation of the area of the region R under the graph of the function f on the interval [0, 3].

Find the area bounded by the curve

Use the Parametric Equations of an Ellipse

Consider the Parametric Equation

If 36+3f(x)+x^2(f(x))^3=0 and f(−1)=−3, find f′(−1).

Maximize. Use n for number of Newspaper advertisements and r for number of Radio advertisements .

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