Given the function of f(x) = 2x² - 10x +9 on the interval [-2, 0], find a point c between -2 and 0 so that it satisfies the Mean Value Theorem. Provide your answer below: C=

Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.

Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

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Q: The Eigen values of the matrix A = = 1 1 li 1 0 1 1 0 0 1 0,1,2 O 0,0,1 O 0,2,-1 O 0,-1,2 O 0,2,2 O

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Q: By the condition of a will, the sum of P 1.500 is left to a boy to be held in trust by her guardian…

A: Follow the procedure given below.

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=√y) & the…

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Q: 11. Use the comparison test to determine whether 8 k=1 2k 4k + 5 converges.

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Q: 3. f- 8xdx

A: Solve the integration

Q: can you please write it clearly for better un

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Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

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Q: The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain…

A: We have given a function f=|x| , we have to find g(x) with the help of graph

Q: Use the matrices below to perform matrix multiplication. B If the operation is undefined, enter NA.…

A: Using Matrix operation

Q: Evaluate the improper integral or state that it diverges. ∞0 S 125 dx 3 Select the correct choice…

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Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

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Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A: Basic conversion ways of polar form to Cartesian form are used along with concept of geometry.

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False 6 edx

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Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: 1.ſ(8x³ − 6x² + 12x − - -9)dx

A: Solve the integration

Q: K(r)= er tre k' = d (e^) + d dr " er + dr - (re) Help with this derivative

A: Topic = Derivative

Q: Find f'(a) at the given number a.  f(x)=(6x+7)1/2 ,  a = 7

A: Use derivative

Q: :.S •√ √x(x² – 3x + 2)dx

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Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: Determine the point on the curve y = 19x² closest to the point (0, 5) with x>0. What is the slope of…

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Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

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Q: •SCOS'E TIFLAME Cos² tant 24. Sa sec²t Cos² t√u и dt du u= It tant du sec²t dt = J dt = Sec²t what…

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Q: 4T (2n)-T(n) 4. Use Simpson's rule to approximate I'v = 3 2x3³ +23dx with S(40). Use the formula…

A: ​

Q: A study estimated how a person's social status (rated on a scale where 100 indicates the status of a…

A: The status of a person at an income of i thousand dollars is S(i)=17.5(i-1)0.53

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 11 K √x + 5dx = [Please enter your…

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Q: Identify the location and value of any relative maxima or minima of the function. Ignore points on…

A: We have to find relative maxima and minima.

Q: r(x)=x2+5x+4 Find two points on the graph of the parabola other than the vertex and x-intercepts.

A: Solution of given question is written in below steps.

Q: H.W: Evaluate the integral 1 1 SS 0 y 1. x² exy dxdy 2 2. 1 y 2² SS dxdy

A: To evaluate the following integral. 1 ∫01∫y1x2exy dx dy2 ∫12∫yy2 dx dy

Q: X √I + X dx

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Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: bounded by the curve. Find the area y=2x+₁²₁ y=10x-x²

A: Given:  the curve is y=2x+12                               y=10x-x2

Q: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

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Q: 17/3 cos (t)h(sinct)) dx

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Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -8 -7 -6 5. 4 6 17 8 X

A: Solving the problem by finding the value of the problem.

Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

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Q: Which of the following is the equation of a sphere with radius r = 3 centered at the point…

A: Given that radius of the sphere is 3 and the center of the sphere is -1,0,-2. We have to find the…

Q: dx S. √√x

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Q: X-3 (x-2)(x+4) dx

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Q: Find the radius of convergence for Σ (sin²n)x". n=1

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Q: the graph of f (x) = r the exact answer. Number below to find a number such that f (x) y 1 0.7 0.5…

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Q: If y, and Y2 are linearly independent solutions of y" + 3y + (5 + t)y = 0 and if W(y₁, y2)(1) = 3,…

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