Use cylindrical coordinates. Evaluate the integral, where E is enclosed by the paraboloid z = 7 + x + y?, the cylinder x2 + y? = 7, and the xy-plane. e dv

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Q: 2. A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + e…

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Q: d?q, dq (c) at? dt = t2 + 2t F(0) = 4 F'(0) = -2 dx +2x 2 dt (d) F(0) = 0

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Q: s3 c) F(s) (s – 1)³(s² + 2s + 2) s2 + 2s d) F(s) = (s² + 2s + 4)(s – 1) e) 3 F(s) = (s + 2)* II

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Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: To find  Critical values, intervals of increase and decrease and maximum and minimum points of y.

Q: Q2) Find the derivative of the function at Po in the directi g(x, y) = x – (y²/x) + V3 sec-' (2xy),…

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Q: Let I be the 5 × 5 identity matrix. What is the algebraic multiplicity of its eigenvalue? Answer:

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Q: Let B = be any 2 x 2 matrix. COS a (i) Show that there are real numbers un and a such that u11 sin a…

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Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

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Q: T.4 P= 60 (b/in? dp 1016/in? increasing per second de C= 5 16 unknown = do dt

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Q: 1. Consider the linear system Y' = AY, where A = (a) Give the eigenvalues and eigenvectors of A. (b)…

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Q: (e) None of these

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Q: Define the linear transformation T: R" → Rm by T(v) = Av. Find the dimensions of R" and Rm. A = 2 4…

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Q: a. Write an equation of the form y = A cos (Bx – C) + D with A > 0 to model the graph. b. Write an…

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Q: Show that x2 + 3 and x2 + x +1 over Q have same splitting field.

A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get…

Q: 46. Write a function of the form f (x) = A sin (Bx – C) for the given graph. 57 97 4 4 4 4 enl

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Q: Let U ond V be vector spaces over the fleld F and let T be a linear transförmation from U into V. if…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 2(-1)" - 1_4" 3 n3 n…

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Q: a) The region R lies inside the curve r = v2 sin 0 (for 0 <0 <7) and outside the unit circle r = 1.…

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Q: Fiad Laplace transfonm of the functian Shown belowin

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Q: c) F(s) = (s – 1)³(s² + 2s + 2) s2 + 2s d) F(s) = (s² + 2s + 4)(s – 1) 3 e) F(s) = (s + 2)*

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Q: Solve the given differential equation by undetermined coefficients. y"+y+y = x? - 3x y(x) =

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Q: The eigenvalues of x²y*- xy'- ày = 0, y(1) = 0, y(e) = 0 is Hint:[Use only case 3)

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Q: 0 1 0 1 1 0 10 0 1 0 1 10 1 0 Draw a graph whose adjacency matrix is A =

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Q: Prove that the only homomorphisms from Z to Z (Z being the ring of integers) are the identity and…

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