5 5 4 f(x) dx %3D 8 аnd 1 If f(x) dx = 3.2, find f(x) dx.

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A: From the figure:Let 2x be the length of the rectangle;Hence,using Pythagoras theorem;width2+2x22…

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A: Solving extreme

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A: limit

Q: can you please check my answer? Thank you.

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A: Find your answer below

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Q: Find the gradient of the function at the given point. g(x, y) = 3xe/x, (10, 0) Vg(10, 0) = 3i + 3i

A: g(x, y)= 3 x eyx∇g(x, y) =∂g∂x, ∂g∂y∂g∂x=3eyx+3x eyx-yx2      =3eyx 1-yx∂g∂x=3eyx (x-yx)∂g∂y=3x1x…

Q: 5. Mark each statement as true (T) or false (F). No justification is needed. Assume that converges…

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Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Find the degree and leading coefficient for the given polynomial.   −2x2−7x4+x−8 Degree: Leading…

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Q: Q2 / Find the directional derivative of f(x.y.z) 4xy +5xz2 +6yz2 At the point P(3,1,4) in the…

A: ∂f∂x=4y+5z2∂f∂x=84∂f∂y=4x+6z2∂f∂y=108∂f∂z=10xz+12yz∂f∂z=168Therefore, the gradient is∇f (3, 1, 4)…

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Q: Find the 5th roots of 9. -16/2 + 16vZi

A: =12+32i9De Moivre's theorem;=cosπ3+i sinπ39= eiπ39=ei3π=cos3π + isin3π=-1

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A: To find the missing values in the limits of the integral .

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A: Given: secx=4, x in Quadrant IV   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

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Q: Problem #6: Consider the following function. H(x, y) = 7 In(3x² +y³) %3D (a) Find f(2,3). (b) Find…

A: a. fxx(2,3)  = 42(-3×22+32)(3×22+32)2fxx(2,3)  = -0.2857

Q: Find the power Series representation for the function land determine the radlius of convergence.…

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Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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A: Given:      fx=x4-12x3+54x2-1   An Inflection point is a point on the graph at which the second…

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Q: _4. Which of the following is not a separable differential equation? dy dy y = 0 dxy = e* A. 2 А. =…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

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Q: 2. (a) Use algebra to verify that (1+ (x – 1) (b) Differentiate arctan(x+1) – arctan(x- vital thing…

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Q: Perform the operation and write the result in standard form. (16 – 31) + (-2 + 5i)

A: Given  (16 - 3i)+(-2 + 5i)

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A: