Given the table of values below, find the average rate of change of the function f(z) on the interval [6,11]. 10 11 12 13 195 199 232 238 f(z) 4 70 Enter an exact answer. Provide your answer below: 5 94 6 102 7 123 8 141 9 162 14 251

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A: second derivative of function is given below

Q: 10. C. B.x 아타 1 i B. 유 = (32i + 425 - xyR) . (음 1 + + 으음?) 스 = KA = th 3x2 ax 3가고 x 2 + 42 0 - 24 2…

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A: Please see the below picture for detailed solution.

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Q: 6. Find lim1F(t), where r(t) = 1² In (2t - 1) 1' 2022-t (1=1) 1/1₁ eve).

A: Answer and explanation is given below...

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Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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A: As per our answering guidelines we are allowed to solve only one complete question. Kindly repost…

Q: Given the following matrices, perform the indicated operation, if possible. A= 54-7 16 -8-5 14:3 B=…

A: The matrices are: A = 54-7168B = -8-578C = -5-8004-4766D = 906-4-74 To evaluate: The value of B+AD.

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A: Given, y=e7x2-23

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Q: Consider the following vector function. r(t) = (3t², sin(t) - t cos(t), cos(t) + t sin(t)), t> 0 (a)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find k such that the line is tangent to the graph of the function. Function Line f(x) = k√x y = 2x +…

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Q: ef= dx e + e- Evaluate

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Q: 3x + 3y = 2y - 7 Step 2 of 2: Find the equation of the line which passes through the point (14, 5)…

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Q: Given f(x) = find f'(4) using the definition of a derivative. x-1 Provide your answer below: f'(4) =

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Q: Suppose that f and g are continuous functions such that f(1) = 9 and lim[ƒ(x) +6g(x)] = 13. Find x-1…

A: Topic- Limits and continuity if function is continuous at x=c at x=climx→c-f(x)=limx→c+f(x)=f(c) we…

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Q: 1. (x+y)y' = x - y

A: Note as per guidelines we support one question in one request.kindly repost next question in next…

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A: Given expression: r→(t)=2cos(t), 2sin(t), -t

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Q: The spread of a virus is modeled by V (t) = −t3 + t2 + 12t, where V (t) is the number of people (in…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

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A: The given function, fx=x2x+1 We have to find the derivative of fx and tangent line at the point 3,94

Q: 2. Polar Coordinates. Plot the points whose polar coordinates are given by: (2) • (-2) (2-) •(-2-4)

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Q: Solve the given differential equation: x² 2(1+ y²), (xtan"1y)dx + thà dy = 0.

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Q: Determine (AB)-1

A: Given, A=-j0-213 , B=0-j+13-1j   213×[0−j+13−1−j]AB=(−j)· 00· 0(−2)· 01· 03·…

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Q: Evaluate the integral. 56 So ex Jo 8x² + 9x + 1 1 dx

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Q: Consider the following vector function. r(t) 1) = ( 76, 21-12², 12) (a) Find the unit tangent and…

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Q: 3. Find the curvature of the following: Give exact values only a) r(t) = (2t, t³,t²) at t = 1

A: The formulas of curvature are as follows