The volume of the solid obtained by rotating the region enclosed by y = 12, T = 2, I = 6, y = 0 |3| about the line z = 8 can be computed using the method of cylindrical shells via a integral V with limits of integration a = and b: The volume is V : cubic units.

Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

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A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

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A: The initial fall h=300 The first rise & fall 2*.9× 300 The 2nd rise & fall…

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Q: the

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Q: Given the function P(x) = (x – 1)²(x – 4) - -

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Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: To find two real numbers whose sum is 46 and whose product is maximum, we should find the maximum…

A: It is a true and false type question. Answer  is false

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A: Here we have to find the volume.

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Q: Find the number(s) b such that the average value of f(x) = 6x - 42x + 70 on the interval 0, 6 is…

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Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

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Q: 13. The distance s, in metres, fallen by a skydiver t seconds after jumping (and 160(:1 – 1 + e-5.…

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Q: Use algebra and the properties of limits as needed to find the given limit If the limit does not…

A: We need to evaluate limit.

Q: Problem 6 Use the rules of differentiation to to find the derivatives of the functions: (a) f(r) =…

A: topic- differentiation

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

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Q: x +729 lim x+9 X-9

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Q: Find the first three nonzero terms of the Maclaurin expansion of the function. f(x) = 8 cos TX ...…

A: The Maclaurin series is given by  f(x)=f(0)+f'(0)1!x+f''(0)2!x2+f'''(0)3!x3+...

Q: Refer to the figure below to find the limit lim f(x). X - 00 3.5- 2.5- 1.5- 1- 0.5- 2.

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Q: Exercise 4. Calculate the convergence set of the following is not enough, a justification is also…

A: Given

Q: he velocity vector? Di+O i+O k

A: Topic:- application of derivatives

Q: The limit lim (x In( cos x-00 is an indeterminate form of type 0 0o. Select one: True False

A:

Q: fi(x)-2• sin(x) -3- R 3- 5- 3.* 4. 4 2 -2

A:

Q: 13. Identify the polar coordinates of the point with the given rectangular (-6, - 63) 47 6, 3 7T 6,…

A: Given rectangular coordinates are (-6,-63) which is (x,y)We know that polar coordinates are in the…

Q: 7. Find the exact x-value where the function f (x) = x +ln (x² – 1) attains a maximum value. An…

A:

Q: Assuming annual compounding, find how long it would take for the general level of prices to double…

A: Given query is to find the time taken to double the amount.

Q: dy without first solving for y. dx e implicit differentiation to find ² + 3x + xy = 100 the given…

A: Topic:-  application of derivatives

Q: PERFORMANCE TASK 1. The population of a city years from now can be modeled by the function P(x) =…

A: Concept: Graph: A graph is a graphical representation of data that is organized on a graphing plane…

Q: Determine whether the function shown is continuous over the interval (-6,6). Is the given function…

A: Solve the following

Q: 6. Calculate the locations of maximums and minimums of the following functions: Show work in…

A:

Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: Jse the functions below to (a) express as a function of t, both by using the Chain Rule and by…

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Q: Find the velocity and acceleration vectors in terms of u, and ug- = 5 sin t and 0= 5t = ( 5 cost)u,…

A: Topic:- application of derivatives

Q: 8 Evaluate ( - 12vt)dt Select one: 666 a. 654 13 664 O C. 15 660 Od. 15

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Q: Determine if there are zero, one, or two triangles for the following: m ZA = 48° a = 10 m

A: Given:∠A=48°a=10b=12

Q: 1. Which value of k will make the lines: r = (1,2) +s(2,3), s e R and 9x + ky = 0 parallel? 2.…

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Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: the limit of each transcendental function below using analytical method. Answers without olutions…

A: Limit

Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: n-1 Consider the series n=1 Find the sum. If it doesn't exist enter "DNE"

A: We have to find out the sum

Q: x = 2 + 5 cos t Consider the parametric equations for 0stsa. y = 8 sin t

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Q: x- 3 – dr x' +9.x (a)

A: find integral separately

Q: Use the graph of H shown to the right to find the limit If necessary, state that the limit does not…

A:

Q: Let R be the region of the 1st quadrant enclosed by x=y^2 , x=2-y^2 ,y=0 . 1.1 Draw an area R.…

A: Given that;  x = y^2   and x = 2 - y^2       Let's find area between two curve in 1st quadrant.

Q: Find the indicated derivative and simplify. 2x - 4 y' for y = 2 + 8x %3D

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Given (x+ y}* – ( x - v}² = x* + y^, find dy/dx using implicit differentiation. A. - 2- E. None of…

A: Given x+y2-x-y2 =x4+y4. We have to find dydx  using implicit differentiation.