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Calculus

03/29/24

Find the absolute maximum and absolute minimum values of f on the given interval.

f(x) = xe−x2/72, [−4, 12]

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Calculus

03/29/24

Find the absolute minimum and absolute maximum values of f on the given interval.

f(t) = 16 cos t + 8 sin 2t, [0, 𝜋/2]

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Calculus

03/29/24

The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm.

(a) Use differentials to estimate the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) (b) What is the relative error? (Round your answer to four decimal... more

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Calculus

03/29/24

The radius of a sphere was measured to be 10 cm with a possible error of 0.5 cm.

a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer. The surface area of a sphere is S=4𝜋r2.)What is the relative error?... more

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Calculus

03/29/24

Find the differential of each function.

y = √5 + ln(z)dy=

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Calculus

03/29/24

Suppose the linear approximation for a function f(x) at a = 3 is given by the tangent line y = −3x + 12

If g(x) =[f(x)]2, find the linear approximation for g(x) at a = 3.L(x)=

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Calculus

03/29/24

Suppose that we don't have a formula for g(x) but we know that g(1) = −5 and g'(x) =sqrt. x2 + 8 for all x. Use a linear approximation to estimate g(0.9) and g(1.1).

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Calculus

03/29/24

Use a linear approximation (or differentials) to estimate the given number.

√100.8

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Calculus

03/29/24

Find the linearization L(x) of the function at a.

f(x)=sin(x) , a= 𝜋/3

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Calculus Math

03/29/24

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

F(x) = x^3-4x^2-16x+9, [-4,4]I got to the point of finding the derivative of the function where it equals: F'(x) = 3x^2-8x-16When solved, I got the solutions of x=-4/3 and x=4. When I submit these... more

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Answers •2

Calculus

03/29/24

Identify concave up, down and points of inflexion by looking at a graph

Provide the open intervals on which f is concave upwards, concave downwards, and provide the coordinates of each point of inflection.I tried a few things. I understand that i should try to get the... more

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Calculus

03/28/24

Where do I find my saved whiteboards from my tutor session?

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Calculus Math Algebra 2

03/28/24

solve the limit of x approaching 0+ of lnx+1/ln(x+1)

this is how I solved it but I dont know if it's correct https://ibb.co/5vLQ0C5this is the limit to solve https://ibb.co/5vLQ0C5

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Calculus Math

03/28/24

please help math

A hot coffee just brewed(180F) from the coffee machine is placed in a room where the temperature is 65F.After 20 minutes, the hot coffee has cooled to 140F. Find the temperature after one hour 06... more

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Calculus

03/28/24

The velocity Function

The velocity function (in meters per second) is given for a particle moving along a line.v(t) = t2 − 2t − 15, 2 ≤ t ≤ 8Find the displacement (in meters).Find the distance traveled (in meters)... more

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Calculus Math

03/27/24

Find the area of the region enclosed in the graph below

Sketch the region enclosed by the graphs of the given functions. Determine whether it is more natural to integrate with respect to x or to y to find the area of the region. Draw a typical... more

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Calculus

03/27/24

A bank account that accrues continuously compounded interest grows in value at a rate pro- portional to its current value.

The current value is modeled by the exponential equation y = y0e^rt, where r is the annual interest rate, t is time in years, and y0 is the initial value of the account. Suppose after 2 years, the... more

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Calculus

03/26/24

college math problems

Find the quantity a that maximizes profit if the total revenue, R(9), and the total cost, C(9), are given in dollars byR(q) = 409q - 8q^2C(q) = 1500 + 73q.What is the maximum profit? Prove your... more

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Calculus

03/26/24

Calculus displacement question

The velocity (in meters/sec) of a particle moving along a straight line is given by v(t)=2t^2+2t+1, where t is measured in seconds. Answer the following questions given that the initial position... more

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Calculus

03/26/24

College Calculus Math

In physics it is shown that the height s, in feet from the ground, of a firework fired upward with an initial velocity of 176 feet per second from a spot on level ground iss (t) = -16t^2 +... more

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Calculus

03/26/24

true or false question

true or false At a production level of x units a small business has a cost of C(x)=2x+10 dollars and revenue of R(x)=3x dollars. Given this information the marginal profit at a production level of... more

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Calculus

03/26/24

Calculus Optimization Problem

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to... more

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Calculus

03/26/24

Need help with calculus optimization problem

Determine the point on the hyperbola −9x^2+2y^2=20 closest to the point (8, 0).Give the x coordinate of each point: Give the positive y coordinate: Give the negative y coordinate:

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Answers •2

Calculus Math

03/25/24

Teacher didn't explain this well in class, please help.

f(x)={0, if x< -3{3, if -3 ≤ x < 0{-5, if 0 ≤ x < 5 {0, if x ≥ 5 xg(x) = ∫ f(t)dt -3Determine the value of each of the following:A.) g(−6)=B.) g(−2)=C.) g(1)=D.) g(6)=E.)... more

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Calculus

03/25/24

Consider the path <10t,5t^2,5ln(t)> defined for t>0 . Find the length of the curve between the points (10,5,0) and (20,20,5ln(2)).

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Find the absolute maximum and absolute minimum values of f on the given interval.

Find the absolute minimum and absolute maximum values of f on the given interval.

The radius of a circular disk is given as 19 cm with a maximum error in measurement of 0.2 cm.

The radius of a sphere was measured to be 10 cm with a possible error of 0.5 cm.

Find the differential of each function.

Suppose the linear approximation for a function f(x) at a = 3 is given by the tangent line y = −3x + 12

Suppose that we don't have a formula for g(x) but we know that g(1) = −5 and g'(x) =sqrt. x2 + 8 for all x. Use a linear approximation to estimate g(0.9) and g(1.1).

Use a linear approximation (or differentials) to estimate the given number.

Find the linearization L(x) of the function at a.

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

Identify concave up, down and points of inflexion by looking at a graph

Where do I find my saved whiteboards from my tutor session?

solve the limit of x approaching 0+ of lnx+1/ln(x+1)

please help math

The velocity Function

Find the area of the region enclosed in the graph below

A bank account that accrues continuously compounded interest grows in value at a rate pro- portional to its current value.

college math problems

Calculus displacement question

College Calculus Math

true or false question

Calculus Optimization Problem

Need help with calculus optimization problem

Teacher didn't explain this well in class, please help.

Consider the path <10t,5t^2,5ln(t)> defined for t>0 . Find the length of the curve between the points (10,5,0) and (20,20,5ln(2)).

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