Find the maximum and minimum values of the function f(x, y) = x²y subject to 5x² + 4y² = 60 =

Q: 7-52 Find the derivative of the function. 7. f(x) = (2x³ - 5x² + 4)5 9. f(x) = √√√5x + 1 8. f(x) =…

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A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

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Q: ow Evaluate at (u,v) = (5,1) for the function w(x,y) = xy-y²; x=u-v, y = uv. du OA. -1 OB. 4 OC. 9 O…

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Q: 29 J2 1 √√x-2 dx.

A: Whole solution is given below.

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A: To evaluate the following.Note: Since the student has posted multiple questions and does not mention…

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Q: √y Change the order of the integration f(x,y)dxdy О У 2

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Q: (8) Find y' using implicit differentiation method: Sin(y) =sin(x) cos(y) + 4

A: To find

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Q: Find the indefinite integral. (Use C for the constant of integration.) -7 (x? + +7)3/2 dx

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A: C(x) = 0.04x^3 +0.02x^2 +30x +90, 0< x < 1500, a = 1000The marginal cost function is the first…

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Q: Find a formula for the nth term of the sequence where an is calculated directly from n. an = 69 12…

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Q: A region bounded by f(x)=√x + 2, y = 1, x = 1, and x = 4 is shown below. Find the volume of the…

A: Given that ,Find the volume of solid.

Q: Decompose the following fraction using a long division: 5x³ + 2x² - 38x - 21 x² - 9 a = b = 5 0 C =…

A: The given term is; (5x3+2x2-38x-21) /(x2-9).

Q: Write an iterated integral for a. vertical cross-sections, b. horizontal cross-sections. OA. S S dy…

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Q: B- Find the interval of convergence of the following infinity power series: Σ n=0 n!x"

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Q: Express the area of the region b The lines x = 0, y = 3x, and y = 10 10 y/3 A. S S 0 0 B. O C. 3…

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Q: n n=21n3 + 1 +1 39. Σ

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Q: 29. Σ( H = -4

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: Solve the equation: sin(2x) - cos(2x) = 1 over the interval [0, 2π).

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Q: The base of a three-dimensional figure is bound by the line x = y + 2 on the interval [1, 9].…

A: The volume of a three-dimensional figure can be found by integrating the area of the cross-sections.…

Q: Find f/dx and df/ду. = 3x4y дх 518 ду f(x,y) " 11

A: Given Function

Q: Each of the following limits represents a derivative f'(a). (3 + h)³ - 27 h (a) lim h→0

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Q: A 5-kg quantity of radioactive isotope decays to 3 kg after 18 years. Find the decay constant of the…

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Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x + y − xy,    D is the…

A: Given :- f(x, y) = x + y − xy,  D is the closed triangular region with vertices (0, 0), (0, 2), and…

Q: Assume the world population will continue to grow exponentially with a growth constant k = 0.0132…

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Q: Integrate the function f over the given region. 1 f(x,y)== over the square 3 ≤x≤9, xy 3sys9 O A. O…

A: Here we have to integrate over the square

Q: Find lim (x,y) →(1,0) x - 4y #1 /x-4y - 1 x-4y-1 √x-4y - 1 x-4y-1 7-0 lim (x,y) →(1,0) x - 4y #1…

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Q: S 2 x + 9x - 1 -dx 2 (x-4)(x + 1)

A: We have,

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Q: x y + Write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

A: To write an iterated triple integral in the order dx dy dz for the volume of the tetrahedron cut…

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: 1) 2) 3) Find: lim x → 1 Find: lim x→6 Find: lim x-5 x² - 1 x - 1 x² - 36 - 6 x² - 25 x - 5

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Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary Integer…

A: A vertical  asymptote is a line x=a where the graph tends towards positive or negative infinity as…

Q: (a) arcsin sin RIT 4 3π 4 (b) cos 2 sin in-¹ (1-5-)) 17

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Q: To produce x units of a religious medal costs C(x)= 12x+63. The revenue is R(x) = 33x. Both cost and…

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Q: 23. (In x)² dx

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Q: 7 x 3 - 20 (a) lim (b) lim F1IX +5² +1 (c) lim F1I8 2+7 3x + 5

A: (a) (b) (c)

Q: (1) Find the limit (show the steps). lim 0-0 (cos 30) - 1 sin 50

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Q: (10) Find the derivative by taking In (natural log) of both side of the function. y = [(cos x)*]x²

A: To find the derivative by taking  (natural log) of both the side of the function.Note: Since the…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state doesn't exist,…

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