2 c2 Reverse order and evaluate the integral S, 2y2 sin(xy) dydx

Q: Express the given complex number in rectangular form (a + ib). 1. cos + i sin cOs + i sin

A: Since you have posted a multiple  question according to guildlines I will solve first   question fo...

Q: Find the volume generated by revolving bout the line x = -1 the area bounded by (y + 2)² = 4(x + 2) ...

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Q: 3 Find A= 5 2 B =| 3 4 う AB -2 -2 り BA 2.

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Q: Express the complex number equation below into polar form. 2i (3 + i) (1 + i3) = -8 %3D (2e) (2c분) (...

A: We need to convert given complex number into polar form, We know that polar form of an complex numbe...

Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 2ky + k² = 0 and ...

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Q: Consider the series Vk 6 + 6k k=1 a) Enter an integral whose convergence or divergence is equivalent...

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Q: A nutritionist is studying the effects of the nutrients folic acid, choline, and inositol. He has th...

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Q: Σ n=3 nV

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Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the g...

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Q: A. In the figure below, CE and LA are diameters of ON. Use the figure to answer the following. If mL...

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Q: Show that t (T (n)) = 2 if and only if n = p9-1 for some primes p, q. %3D

A: T(n) is the divisor function which counts the number of divisors of a number. 

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2,000 - 0.005x - 0.01y, whe...

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Q: se the method of variation of parameters to determine a particular solution lo the given equaliol 10...

A: we have given the differential equation y'''-15y"+500y=e10x we have to find the particular solution ...

Q: Consider the power series (2x + 3)" V2n2 +n – 1 n=1 a. Determine the interval and radius of converge...

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Q: Use the cutting plane method to solve the following IP: max z = x1 + 2x2 x1 + x2< 10 s.t. 2x1 + 5x2 ...

A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

Q: Find a power series representation of f(x) = x tan¬'r

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Q: 4. Determine the eigenvalues and eigenvectors of the following matrices: (a) (b) 4 4 1. 5.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Problem 6. Let S be a linear transformation, S : R³ → R² such that R(S) = R? and N(S)= {tb|t E R}, w...

A: Let S:ℝ3→ℝ2 R(S)=ℝ2 and N(S)={tb|t∈ℝ} b=(6,-5,1)T

Q: (0,0,-1) across the slanted face of the tetrahedron in the first octant, normal vectors point upward...

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Q: Evaluate the moment My and My of the region bounded by y = 2x + 1, x + y = 7 and x = 8.

A: evaluate the moment Mx and My of the region bounded by y=2x+1 , x+y=7 , x=8

Q: Prove that the set V of all real valued continuous (differentiable or integrable) functions defined o...

A: We have given that , V is a set of all real valued continuous functions defined on a , b with vector...

Q: {{::) eR}. sider V = : #1, 22, 23 > 0 and ¤1, x2, x3 ER pose the vector addition and scalar multipli...

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Q: Nine people are going on a Siargao trip in 3 cars that hold 2, 4, and 5 passengers, respectively. In...

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Q: Find the complete, singular and general integrals of p3 + q3 = 27z. %3D

A: To find complete, singular, and general integrals of p3+q3=27z.

Q: The P-test says that: • the series 1 converges if p? 81 kP k=1 1 diverges if p ? e 1 • the series kP...

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Q: In y - e* + 2cos z = -3 In y +3cos z = 4- 2e* 2) e2x 1 +3 = +ln(z ex cos z +

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Q: Ising Fermat's Little Theorem, find the smallest remainder (or least positive residue) of 3999,999,9...

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Q: ii) Solve (x D² - 3xD+4) y = x given that y(1)= 1 and y'(1) = 0.

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Q: For a group G and a fixed element a ∈ G, define the subset C(a) to be the set of all elements in G t...

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Q: Find the selling price of a DVD set which costs Rs. 2039 and the markup is 30% on cost. What is the ...

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Q: x² + ax – 2bx – 2ab – x³ – 2ax² – 2bx² dx x* + ax³ – 2bx³ – 2abx²

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

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Q: Find the temperature u(x, t) in a rod of length L = 2 if the initial temperature is f(x) (0 < a < 1)...

A: To find - The temperature u(x,t) in a rod whose length is L=2 and if the ends are insulated from 0 t...

Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: Find the equilibrium vector for the transition matrix. 0.70 0.10 0.20 0.10 0.80 0.10 0.10 0.30 0.60 ...

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Q: Find the inverse of the matrix and its identity matrix A= 4   2  - 3       1  -1   2       5    3...

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Q: (-1)" converges absolutely, converges conditionally, Determine whether the series diverges. or n=1

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Q: 6. Let f(x) = 1-x for 0<x<1. (a) Sketch fo(x), the odd half-range expansion of f(x), over the interv...

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Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 c. cos 100

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Q: Given the series: 3 k k=1 does this series converge or diverge? converges diverges If the series con...

A: We have to check weather the given series is convergent or divergent.

Q: Use the definition of differentiability to show that f(x, y) = y² – xy+5x is differentiable everywhe...

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x2 – ...

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Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

A: Given: SU=37(Note this represents diameter of given circle) And measure of angle SOR is 151°, where ...

Q: Leb P:(2,2)-R bealfinedby feyex Show that atacat miniAum Point matmum Piont

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Q: y²dx + (x2 +3xy + 4y2)dy = 0; when x = 2, y = 1 %3D

A: This is a problem of the ordinary differential equations.

Q: If f(t) = etsintcos3t, find L{f (t)} and L{f }.

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Q: Differential equation solution (D³ + D² – D – 1) y = e"

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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