VOLUMES OF REVOLUTION 1. Find the volume generated by revolving the area enclosed by the curve 4y² = 4x²_x4 about the y-axis.

Q: Consider the following given function and given interval. f(x) = 10 sin(x) - 5 sin(2x), [0, π] (a)…

A: Given data÷ fx=10sinx-5sin2x Interval : 0,π   From part a) the value of favg=20π   fc is given by…

Q: The velocity of an object is v(t) = 29t²,0 ≤t≤6 where v is measured in meters per second and t is…

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Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: maximum

A: if you specifically asking to how to find maximum and minimum value. Please refer to the image below…

Q: a. given the functions f(x)=cosx and g(x)=sqrt 10+x determine the value of g(f(pi)) options : sqrt…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: (1) [(x³ + +7) dx x

A: Multiple questionSince this is a multiple question, according to the Bartleby answering rule, only…

Q: Graph the function below by moving the vertical asymptote and the intercept to the correct location,…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptote, take…

Q: 1) . Is the differential equation linear? dy dx = x4y + sin(x) YesNo     PLEASE SHOW STEP BY STEP .

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Q: 2. π 2 1/² cott x dx 4

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Q: 8-2x ifx 4 (a) Find the limit of g(x) as x approaches the value "4" indicated below. To do this,…

A: answer is in next step . please give a like !!

Q: The graph of the polynomial f(x) is given below. If f(x) has degree 4, find the factored equation…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: In the following exercises, use direct substitution to show that each limit leads to the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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Q: Consider the following function. f(x) = x + (-4,-5) (a) Find an equation of the tangent line to the…

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Q: I didn't ask u to SOLVE< I asked what would go in the BOX

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Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

A: An absolute extrema of a function in a given interval is the point at which a maximum or minimum…

Q: 1. | 37 2 T 2 cos² 4x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: lim x 1 lim -x 1-x

A: topic:- calculus

Q: Determine if the Integral Test can be used for the given series. 1 in= √4n+1 a) The Integral Test…

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Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: Evaluate : L {15} = Blank 1

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Q: (1) x² x² + 3 ſ dx

A: according to company rules,i have to solve one question when multiples questions are posted so…

Q: Find the value of the derivative (If it exists) at the Indicated extremum. (If an answer does not…

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Q: Euler found the sum of the p-series with p = 4: ζ(4) = Σ Σ n = 1 Use Euler's result to find the sum…

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Q: 62. A bacteria culture has an initial population of 500. After 4 hours the population has grown to…

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Q: d 2. Given that g(x)= 1 dx 1+3x 3 (1+3x)² term-by-term. 3 (1+3x)²' find a power series…

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Q: A parabola can be drawn given a focus of (-4,-10) and a directrix of y = -2. Write the equation of…

A: I am attaching image so that you understand each and every step.

Q: 7. Prove: cos(0 + 2) 7) = sine.

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Q: 15. 1/√/2 X 1+ 4x4 dx

A: We need to evaluate :

Q: ○ If f(t) = 2 - 9t cos t " find f'(0).

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Q: 3 A merry-go-round has a radius of 4 m and is spinning at a rate of 0.5π radians/s. Bill is standing…

A: Formula used: Circumference of circle = 2π×radius of circle  velocity =  angular velocity × radius

Q: Use synthetic division to find the result when 3x4 - 3x³ +16x²-117-31 is divided by a + 4. Write…

A: answer is in next step . please give a like !!

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: -8 -4 Challenge #4 24 160 -8 0 -8 4 Plot four exponential functions. Each one should pass through…

A: we have to find the exponential functions passing through the blue point and the black point

Q: 9. A missile is rising at a constant rate of 100 meters per second. An observer is 600 meters away…

A: Given speed of the missile is 100meters per second. an observer is 600 meter away from the launching…

Q: Find the absolute extrema of the function on the closed interval. f(x) = cos TX, [] minimum (x, y) =…

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Q: Directions: Find the inverse functions of the following one-to-one functions. Show the graph of each…

A: Given data:- The given one-to-one functions are, (1); fx=x+33 (2); fx=3x-4 (3); fx=2x+14x-1

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}:…

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Q: Solve: y(1) Given: y'-y=1, y(0)=0

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Q: Sandy's main house is a hemispherical glass dome with diameter of 8m. Suppose that the glass is m…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the hemisphere is 8 m so…

Q: Determine whether the lines intersect. If they do, find the coordinates of the point of…

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Q: Find the limit. lim X-X lim X-8 sin 6x 5x sin 6x 5x = (Simplify your answer.)

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Q: Evaluate the indefinite integral: S √4x + 9 dx

A: Given.

Q: f(x) = 2 x-6x-7 8-2

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Q: Question 1 Given: 2y" + 5y¹ - 3y = 0; y(0)-4, y'(0)=9. Evaluate f(1).

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Q: F(s) = 2 (3s-2)(2S-1)(3s+2)

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Q: Consider the function f(x) = x² - 98x² + 4, −6 ≤ x ≤ 15. This function has an absolute minimum value…

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Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

A: Given that a sequence which is defined recursively by the formula given below:-an=an-1+an-2-(i)…

Q: (1) x(x + 2)² dx x-x² (3) 4+x² dx e²x (2) 2) 14+720x dx J ex (4) | sin³2 sin³2 x sin 2x dx

A: According to bartleby guidelines when student post more than one question then expert must have to…