A thin wire is bent into the shape of a semicircle x2 + y² = 4, x>0. If the linear density is 4, find the exact mass of the wire. 3 T 187 87 87 2 T

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A: Explanation of the answer is as follows

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A: Select one

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A: We will find the equation of hyperbola.

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A: The given parametric equation x=4+2cosθ and y=-1+sinθ

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Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

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A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: b) 0 em dac

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A: Given, S(t)=60t2t2+150

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Q: What is the derivative of f(x) = Select the correct answer below: O 4V/2 O 2012 3 O w/s O 16V/2 о 3…

A: Derivative of function f(x)=43x54 at x=4

Q: (D+2x)(D-3x)

A: Follow the procedure given below.

Q: 1- On donne: a- Résoudre l'équation: f(x) = 0 b- Trouver la dérivée : f'(x) c- Calculer: f(In 2) 1-…

A: Given data fx=e2x-3ex where,x∈R We need to solve part a,b,c

Q: Find the component of u = 2i + j − 3k that orthogonal to v = 3i – j, then verify your result.

A: This question can be solved using the concept of component of vectors.

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

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Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

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Q: A differential equation y" - 3y + 2y = 0 with y(0) = 1 and y(1) = 2 is Select one: O a fourth order…

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Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: If A = 1 -9 -9 -6 -4 and AB = 1 D -1 9 -3 -3 6 ww -6 ? a ? ? PP ?? 9 5 B-1 9 ∞ C 3-8 1 what is the…

A: We have to multiply the two matrices then find the value of a.

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Q: 2²2 +2²2² = 12 25 (a) Find the vertices, foci, and eccentricity of the ellipse. (x, y) = (-5,0 (x,…

A: The equation is  x225+y29=1

Q: Choose the gradient of the function \(f\) defined by f(x y) √1 (4x 5y)². O None of the others 4x+5y…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

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Q: Without using a calculator, for the following, find rectangular coordinates for the given point in…

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Q: A function y = f(x) and an x-value xo are given. f(x) = x + √√x; xo = 1 4 (a) Find a formula for the…

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Q: Ιπ 10. State the exact value of tan- 6

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Q: 5. The tank shown below is full of water. Find the work required to pump the water out of the spout.…

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Q: Solve the problem. 18) A beverage company works out a demand function for its sale of soda and finds…

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Q: The gradient vector of the function f(x, y, z) = ln(yz) + x² is: Select one: (2x, /, // ) (2x, -, -…

A: gradf =∇f =i∂∂x+j∂∂y+k∂∂zf .

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

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Q: 27. A function on [0,2] defined by f(x) = -x² |5x – 4 4x³ 3x (3x + 4 - if x ≤ 0 if 0 < x≤ 1 1<x<2 if…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 1…

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Q: 10. Solve 3log x= log 512-log 8

A: To slove 3logx=log512-log8

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A: Since you are asking multiple questions. We are answering only the very first question as per ous…

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Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

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