9) Find the relative maximum and minimum values for the function below give the following constraints... f(x,y)=3-x² - y² x+6y=37

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A: To find out the rate of change of wetted surface means rate of change of height of water.

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A: A function,

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Q: 5) f(x, y) = ln(x³y+y)

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Q: 5. Suppose the series anx" has radius of convergence 2 and the series bx" has radius of convergence…

A: The series ∑anxn has a radius of convergence 2 and the series ∑bnxn has a radius of convergence 3.…

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A: ⇒fx=6x3-4x23

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A: We have to find the equation corresponding to θ=0.

Q: Find the function's relative maxima, relative minima, and saddle points, if they exist. z = 19 x² +…

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Q: b) The rectangles in the graph below illustrate a ? [0, π]. The value of this Riemann sum is ◆…

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Q: 21. Explain why the columns of an n x n matrix A are linearly independent when A is invertible. 34

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Q: Given that lim f(x) = -7 and lim g(x) = 8, find the following limit. X→2 X→2 lim [5f(x) + g(x)] X→2…

A: given  limx→2f(x)=-7limx→2g(x)=8let  B=limx→25f(x)+g(x)

Q: If f is continuous and 4 0 f(3x) dx. 12 [™* f(x) dx = 50, find

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Q: Find the minimum value of w = x² + y² + z² subject to the constraint x + y + z = 18. W =

A: Here the given objective function is w=x2+y2+z2 subject to the constraint x+y+z=18.   Required :…

Q: This is incorrect, also please type your answer or write clearly

A: Double integral We can solve this double integration by conversion from cartesian to polar.

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A: y=5-x

Q: -10 foci Find the foci and asymptotes, asymptotes Find an equation for the hyperbola. -5 (x, y) =…

A: Now the equation of hyperbola is of the form:y2a2-x2b2=1Here a=6Therefore:y236-x2b2=1

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Q: For the following exercises, find dy for each function.

A: Part 229,             y=5-2x-2Part 231,             y=2x3-x2+6x+13Part 233,…

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Q: Evaluate the indefinite integral. Use C as your arbitrary constant. 5√/x dx

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Q: Set up all surface integrals required to integrate on the boundary of the solid {(x, y, z) | x² + y²…

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Q: The graph of f is shown. y 8 (b) 0 (a) [ºf(x) dx 8 [120 f(x) dx y = f(x) 16 Evaluate each integral…

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A: To determine the interval on which f is increasing. f(x)=∫0x(1-t2)et2dt

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A: y''-4y=2e-t-6e4ty(0)=0y'(0)=-1

Q: √x² + y² D) 271(2-√√√3) region bounded above by the sphere x² + y2 + z² = 4 and below by the cone z…

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Q: f(x, y, z) = −2x − 7y + 8z, (-9, -8,5), A = 3i - 6j - 2k A) - 1/1/12 7 B) 14/11 7 c) 200 7 D) -…

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Q: Let C be the curve y = 45- 40 35- 30 25 20 15 10 5 P. 2 +e 5.6 - for 0.1 ≤ ≤ 1.1. A graph containing…

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Q: Question 1 Find the limit: limx-->-1 (2x³-2x²+x+3) -3 none of the above O-2 02

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