a. Solve the system u = 3x + 2y, v=x + 4y for x and y in terms of u and v. Then find the value of the Jacobian a(x,y) a(u, v)

Q: 18.1 Let f(x, y) = xe &- yet². +२ 69x a Find the equation for the tangent plane to the graph of fat…

A: (a) To find the equation for the tangent plane to the graph of f at (1,2), we need to find the…

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Q: 1. Determine the following, if g = [3, -2,5] and h = [4, 1, −6]. a) g + h b) g- h c) g.h d) Igl

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: 27. y=-x² + 7x - 17

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Q: part d please in the original picture!

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Q: Suppose that a business provides a continuous income stream with an annual rate of flow at time t…

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Q: For the function y = f(x) = x² - 2x - 3, x ≥ 1, find (f¹)'(-3)= df 1 dy ly 3

A: We can solve this as follows:

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Q: Q4.6 If p(x) = tan (sin² (x)e"), then p'(x) = O e (2 sin (x) + sin²(x)) cos² (x) O e* (2 tan (x) +…

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Q: Use your graphing calculator and say why these two inequality have not solutions.  a)   x2-4x +5 0

A: Consider the given inequalities a) x²-4x+5<0  b) -x²+4x-5>0

Q: After a large number of drinks, a person has a blood alcohol level of 160 mg/dL (milligrams per…

A: Solving the following problem

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. Hint: You will…

A: Given function:-   ft=4cost+2sin2t

Q: Evaluate the following integral. x+1 x²+8x+41 -dx

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Q: A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base…

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Q: Consider the function graphed below. Does this function satisfy the hypotheses of the Mean Value…

A: We have to use the mean value theorem defination to solve the above question.

Q: I would like to ask why the ranges of the angles here are flipped when compared to the one in class,…

A: The answer is in step 2. What ever you mentioned is correct I am providing the solution in step 2.

Q: f(x) = -3 sin T2 - 2bx² x -2 x 3x² + e²

A: Please see the below picture for detailed solution.

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = 5x4 - 20x³ +6

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Q: Use the additivity of moments to find the COM of an ice cream cone consisting of a semicircle of…

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Q: dw/st is incorrect but everything else is

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Q: A vehicle purchased for $29800 depreciates at a constant rate of 17% each year. Its value after t…

A: Given :Original value = $29800Constant rate = 17%A=P0.83t

Q: = Find the length of the entire perimeter of the region inside r = = 3. outside r = Answer: 11 sin…

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Q: Use linear approximation, i.e. the tangent line, to approximate √49.1 as follows: Let f(1) = √I.…

A: Linear approximation L( x ) = f( a ) + f'( a ) ( x - a )

Q: construct a function and graph:

A: We need to construct trigonometric graph.

Q: Evaluate the following integral. 2²-1 -dx

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Q: 5) Evaluate the sum 101 1 143) (i+1 i +3,

A: as per company guidelines we can solve only first question when multiplie question being posted

Q: Consider the following vector function. r(t) = ( 4t, 21/1², 1²) (a) Find the unit tangent and unit…

A: Here we have r(t)=4t, 12t2, t2 We have to find  unit tangent and unit normal vectors T(t) and N(t).…

Q: Let f([]) = -6 u +2v be a real-valued function and let z = [] and y = be vectors. We find that f(x)…

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Q: Let 21 and 22 be complex numbers. In particular, let z₁ = a + bi and 22 = c + di, where a, b, c, d…

A: Given: z1=a+biz2=c+di   We are required to prove a. z1+z2=z1+z2b. z1.z2=z1.z2

Q: Suppose that f(x, y) = 2x + 2y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the double…

A: Suppose that fx, y=2x+2y on the domain D=x, y 1≤x≤2, x2≤y≤4 Then to evaluate the double integral…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = xe-x2/162,…

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Q: Suppose that f(x, y) = 6x + 8y and the region D is given by {(x, y) | −1 ≤ x ≤ 3, −1 ≤ y ≤ 3}. D a…

A: Given that , fx,y=6x+8y and region D is given by x,y | -1≤x≤3 , -1≤y≤3 find the double integral of…

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = (x² − 1)³,…

A: f(x) = (x2 - 1)3 Interval = [-1 , 5]

Q: 39. y = x² +1 x - 4 [5,6]

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Q: where Compute Ja S = {(x, y, z) = R³ x² + y² + z² = 4, z ≥ 0} (.x²₂ ²z+y²z)ds,

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Q: Evaluate the following integrals and/or determine whether the integral is convergent or divergent…

A: Note:- Since you asked multiple question, as per policy we can solve only first question for you…

Q: help

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