Using the inner product (,): P₂ (R) × P₂ (R) → R, (p, q) = p(0)q(0) + p(1)q(1) + p(2)q(2) calculate (10x - 2x², 1 – 5x – 2x²).

Q: Find the linearization of the function f(x) = √10 – x² at a = = 1 O L(x) = =¹²(x − 1) + 3

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Q: f= (2xy+ 3x²)ē+ (x² – 2yz + 2y)ē, – (e² + y²)ēz

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Q: तू zero B decreasing increasing ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 1 In the segment…

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Q: Calculate (t) when k(t) = r(t) = (4t-¹, 2,5t)

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Q: The domain of the function f (x, y) x2+5x+1 is x2 -1 A R? - { (1,y)} B R2 – { (1,y), (-1,y)} C R2 -…

A: Let f:D→E be a function then domain of f is D. Moreover, domain of f is where the function f is well…

Q: (c) f(x, y, z) = ln(x+y+z)+√√√x+y+z x+y+z xyz

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: f (x, y) = − x² - y² +3. :

A: We have to find the maxima of the function  f(x,y)=-x2-y4+3

Q: h(x) = (f °gXx) Let h(x)=(2x-5) and f(x) =x, find g(x). 1. Let h(x) = Vx-5 and f(x)= Vx, find g(x)…

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Q: Consider functions f(t) = (t − 1)/(t+2) and g(t) = (2t + 4)/(t−3) Show that the expression for (f ·…

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Q: Let f(x,y) = 2* + 7xy, find f(0, – 3), f(- 3,2), and f(3,2). f(0, – 3) = (Simplify your answer.) f(-…

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Q: Find the best quadratic approximation, Q(x, y) of √9 - 7x + 4y for (x, y) 7x+4y near (0,0), Q(x, y):…

A: Step 1:Step 2:Step 3:Step 4:

Q: If f(x, y) = 4x² – 7xy + 3x, then is given by: af - O 8x 8x – 7x + 7y + 3 - O 8x 8x – 7x – 7y + 3 -…

A: The solution of the problem is given in the next step.

Q: (c) Express the quadratic form Q(x1,x2, x3) = 6x + 3x3 + 3x3 – 4x1x2 - 2x2x3+4x3x1 %3D to the sum of…

A: A detailed solution is given below.

Q: For the strong form: d (1– 2x²) du + и 3 х3, for 0 <x <1 du u(0) = 1, = 2 |x=1 Obtain (i) primary…

A: Since, you have post multiple sub parts. I am answering first three parts. Please post the question…

Q: 3 Consider the function f(x) = 5x° – 9x? + 2x – 6. An antiderivative of f(x) is F(x) = Ax* + Bæ® +…

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Q: Let f(x, y) = x² + y² - 4 2 y-2 Find fay(x, y).

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Q: Find the linearization L(x) of f(x) at x =a. f(x) = 2x² + 3x-2, a = 4

A: Find the linearization L(x) of f(x) at x=a.f(x)=2x2+3x−2,a=4

Q: Let F = Z, [x] (x³ + 3x + 2) and α=x+ (x+3x+. (x³+3x+2) €F. Find a³.

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Q: Find f(a), f(a + h), and the difference quotient la + h) na) where h * 0. f(x) = 5 - 6x + 2x2 f(a) =…

A: Given,            f(x) =5 - 6x + 2x2

Q: Abstract Algebra: Let p(x) = 2x3 −3x2 + 4x−5 and q(x) = 7x3 + 33x−4 in R[x], where R = Z/3Z.…

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Q: Determine the variation of the functional (b) J(x)=√ [x7(1) + x₁(1)x₂(1) + x3(1) + 2x₁(1)×₂(1)] dt.

A: To determine the variation of the functional J(x), we need to find the variation δJ for an arbitrary…

Q: Find Əf ax and Əf Əy 2 f(x,y) = √2x² + y²

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Q: Consider the quadratic function f: R3 →R defined by f(X) = xỉ – x1x2 + x – x2x3 + x3 + 1 A: Express…

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Q: (h) Write down the Lagrange's polynomial through (x), fo). (x1, f1), (x2, f2). Hence express 3x²…

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Q: A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest from a…

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Q: Let f(x) = x³ + x + 4 and g(x) = 2x + 3 in zg[x]. Then, upon dividing f(x) by g(x), we get The…

A: Given that,  fx=x3+x+4g(x)=2x+3 Are in Z5x

Q: he function f(x)=3x2+2x

A: Introduction: A function is bijective if it is both injective and surjective and a function f(x) is…

Q: lim t→l 1+√t+ √t+√t t² + 1 + 1 t³-2

A: I have solved step by step in detail...and I have written answer up to simplified…

Q: Classify each of the following quadratic forms: (a) Q(x, y, z) = 3y² + 4z² (b) Q(x, y, z) = (c) Q(x,…

A: We have to classify the given quadratic function.

Q: Write f(z) = Im(z - f(z) = u(x, y) + iv(x, y). 3z) zRe(z²) - 5z in the form ○ a. (4y+x³ − xy²) +…

A: Step 1Step 2Step 3 : Step 4

Q: If ZY = 2x + 9, ZM = 10, ZN = x + 3, and MW = x, then x = (A) 2 + V34 BD bisects LABC and D lies-on…

A: Given:

Q: Using the inner product (,): P2(R) x P2(R) → R, (p, q) = p(0)q(0) +p(1)q(1) +p(2)q(2) + p(3)q(3)…

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