Consider the curve C: y=cos x. You may assume that for all values of x = [0,/2] the curve C lies on or above the line y=1-- and on or beneath the line y=-- √2 */2 Hence, from this assumption and by considering areas, provide an argument to show that л/4 ≤ 3 c cos x dx < 2x (4+ x)² 32 √2 π 4+* 4√√√2

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A: According to the guideline, only one question can be answered with maximum 3 subparts. Please repost…

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Q: b. Develop the least squares estimated regression equation that relates the distance to work to the…

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Q: Which angle is an x-intercept for the function y = cos(x)? Ο Α. Ο OB. 플 O C. 7T OD. 2T

A: REMEMBER THAT-: THE X-INTERCEPT OF AN FUNCTION CAN BE CALCULATED BY EQUATING THE GIVEN FUNCTION TO…

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Q: Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.005x3+0.07x2+18x+700​,…

A: We will use derivative to find marginal cost

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Q: 1. Show that (x+6)² - 3 = x² + x mod 11. Hence solve the equation 242 +231 = 2 mod 11, making clear…

A: To Show: x+62-3≡x2+x mod 11. Ans solve the equation, x42+x31≡2 mod 11

Q: THEOREM 7.4.1 Derivatives of Transforms If F(s) = {f(t)} and n = 1, 2, 3, . . . , then L{t¹f(t)} =…

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A: Solution:-

Q: Consider the following 3 x 4 matrix A and its Reduced Row Echelon form, denoted U. [10-4 1] [120 1]…

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A: CAUCHY THEOREM-: IF F(z) IS AN ANALYTIC FUNCTION IN A SIMPLY CONNECTED REGION ,THEN ∫cF(z)dz=0 ,…

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Q: (b) xy' + 3y = 4x, y(2) = 6

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A: Since you have posted a multiple question according to guildlines I will solve first(Q3)   question…

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Q: The Fourier cosine series of the function is given by where Co= and C₁ = f(x) = 2x 0 < x < π/2 T 0…

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Q: 15. Determine whether the function f: Zx Z → Z is onto if a) f(m, n) = m + n. b) f(m, n) = m² + n².…

A: Solution given below.

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Q: (D³ - 5D² + 8D-4)y = e2x, Find Y = Yc - Yp O a. 2x -2x °C ₁e² + €₂²¹ + ₂x −²+ − 1⁄2x²²+ c +Cre 2,2x…

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Q: h (x) = 2x² − 8x +9 - Show your work for each question to receive credit. 1. Does the parabola open…

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Q: how to do?

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Q: 10. Identify the rotated conic. You can graph them in desmos.com implicitly. For the 3D functions…

A: We identify the conic.

Q: Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F…

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