For the function f(x,y,z) = 1 + 2xy¹ − 325, find fx, fy, and f₂.

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A: Given (xy)x=eTo find Derivative:

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Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

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Q: A graph of f(1) is shown above. Using the geometry of the graph, evaluate the definite integrals. a)…

A: Solve using the area under the curve between given limits

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

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Q: Q2:Find the Laplace of the following functions: 1- cos(2t) 1. f(t)

A: We will find the Laplace Transform

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A: Use ratio test for checking the convergence

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A: Given :The sum of first number squared and second number is 51

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Q: Find the nth Maclaurin polynomial for the function. f(x) = eX, n-5 Ps(x) =

A: In this question, we want to find the maclaurin polynomial of the given function when n=5.

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Q: 1. Find for each of the following: dx d) y = e +x* +e° g) y =x2r-5 h) y = log3

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Q: The function f() = -3x* + 8x – 6x² has two critical points, c1 and c2. Find and classify them. f(x)…

A: Given function is f(x) = -3x4 + 8x3 -6x2 It has two critical points namely c1 and c2 .

Q: I. Write T if the given statement is true with respect to the underlined term(s); otherwise, write…

A: Answer :- We have to write T if the given statement is true with respect to the underlined term ,…

Q: 4. J 5 5. S 12 7 in 3x dx 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S

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A: Taylor series of function fx at a is defined as:…

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Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Independent

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Q: Notice that vector v shows a direct path from the initial 6. point (0,0) to the terminal point…

A: See this solution in below

Q: 3. Determine the 4th derivative of: y = 2x'e* [y(4) = 2e*(x³ – 12x? + 36x – 24)I

A: I am attaching image so that you understand each and every step.

Q: 6 4 Verify that for f(x, y) = 3x°y* - 4x°y°. дх ду ду дх of

A: Given problem:-

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: 1. Find -for each of the following: dx e) y =x* Inx f) In(x + y) = e*=y g) y = x2r-5

A: Here we have to find dy/dx .

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Q: Find the distance from the point (0, -1, -2) to the plane - 4y – 4z = 5.

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Q: 3. Find the compound amount and interest on P1, 500 at the end of 35 years and 9 months, if the…

A: Question number 3 has been solved as per the requirement of the student.