Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum value. constraint xyz :

Q: 2. x = 3

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Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: (2x - 5y + 3)dx - (2x+4y - 6)dy = 0

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Q: sin4x dx V cos4x + 1 COS4X

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Test the series below for convergence using the Ratio Test. n+5 52n +4 The limit of the ratio test…

A: Given

Q: rection: Determine if the given function is continuous and differentiable at the indicated values of…

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Q: x – 2 Let g(x) x + 3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

A: Solving

Q: Find Duf at P. f(x, y, z) = 4x'y'z"; P(1, –2, 1); u = + %3D Duf i -Tem

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Q: nony. i you skip a part of the question, you Tutorial Exercise Find the point of inflection and…

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Q: The second derivative f" is defined on the closed interval [0, 8n]. Now test f" in the intervals (0,…

A: use the definition of concave upward and concave  downward .

Q: 6dz SVE -)dt

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Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: 9 NO ION If g(x) = [ cos t dt, find g '(x). %3D x10 -sin (x) -10x cos (x) COS 1 cos (x°) %3 10x9 cos…

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Q: A plane passes through the three points A(1, 1, 1), B(2, 3, 4), and C(1, 0, 1). Find a parametric…

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Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

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Q: 4. x - 3

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Q: (d) All identity matrices are diagonal matrices and vice versa. (e) All reduced row echelon matrices…

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Q: 109 109 Suppose that > a; = -13 and > bị = 16. Comp i=1 i=1 the sum. 109 2 (8a; + 24b;)

A: ∑i=1109(8ai+24bi)=∑i=1109 8ai+∑i=1109 24bi=8∑i=1109 ai+24 ∑i=1109 bi

Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

A: Let's find.

Q: Question 9 A souvenir shop sells special mugs at a price of $15 each, and at that price, a total of…

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Q: Using Jacobi Method solve the following system: 2х1 — 6х2 — Хз — —38 -3x1 - x2 + 7x3 = 34 -8x1 + x2…

A: Given that the system of equations are 2x1-6x2-x3=-38-3x1-x2+7x3=34-8x1+x2-2x3=20. First check…

Q: 4. A- and B- what is A.B. 3. h It

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Q: Find an equation of the plane that passes through the point P(-7,-2,5) and has the vector n = (-7,4,…

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Q: Let p(x) = x° + 10x- 36x3 + 36x² – 37x + 26. What is the relationship between p(x) and f(x) = 5x +…

A: The objective of the question is choose the correct option.

Q: Approximate the value of the given integral using the trapezoidal rule 12 y dx where the function y…

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Q: 1. Given: - 4r? with f'(x) = (x+2)2 (r+8)(r - 2) (x+2)3 8(7r-4) (r+2)4 f(r) = and f"(x) = %3D %3D…

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Q: 2. y = x2, y = x³ , revolved at y axis

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Q: answer

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Q: The Acme Widget Company has found that if widgets are priced at $125, then 2700 will be sold each…

A: It is given that Acme Widget Company has found that if widgets are priced at $125, then 2700 will be…

Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: Find an equation in rectangular coordinates for the curve 2r2 = cos (20). (Express numbers in exact…

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Q: 4x – 6 2. Let f(x) 1– (2x – 3)3 a. Find the Taylor series representation for f about x = 1.5 that is…

A: Let's find.

Q: To test this series for convergence 4" - 1 1 You could use the Limit Comparison Test, comparing it…

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Q: Determne, whether the follawing vector fielbdo are canservative. If they are, find poential…

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Q: A. Use the definition of derivatives to determine the derivatives of the following functions. 1.…

A: 1. Let f(x)=xDefinition of derivativesf'(x)=limh→0f(x+h)-f(x)hf(x+h)=x+hf'(x)=limh→0x+h-xh=limh→0hh∴…

Q: Matrix L is a 2 x 5 matrix, matrix M is a 5 x 5 matrix, matrix N is a 2 × 2 matrix, and matrix P is…

A: Rule for matrix addition:A matrix can only be added to (or subtractedfrom) another matrix if the two…

Q: Given: In(1+x) = n+1 if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

A: To solve the following problem

Q: 2. The projected rate of increase in enrollment in a new college is estimated by the expression dE =…

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Q: 56. ● Cost Equations The cost y (in cents) of producing x gallons of Ectoplasm hair gel is given by…

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: Determine if the following statement is true or false. The points P1(12, 8, 9), P2(6, 2, 0), P3(0, –…

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Q: Use the Integral Test to determincwhether the scries In n n2 converges or diverges. Be sure to show…

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Q: Look at the picture below. The blue curve represents the function f(x). At which point is the…

A: A function f is continuous at a point x=a iflimx→a-f(x)=limx→a+f(x)=f(a)Consider at x=-4From…

Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Part I x2-9 1. lim х>з х-3 -2. 2. lim х2+5х-6 X→1 х2—1 2x2-х-21 3. lim X→-3 9-х2

A: Note: students has mentioned only 3 question no so I solved accordingly

Q: d,e,f

A: We will solve the limits.

Q: 35 (2i)² 4i i=1

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