Find the numerical value if a = 2x+y² 5y-x² 2/+ (%)³ and y ==

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Q: B. Find the volume of the region bounded by the sphere x² + y² +2²=9 x2 + y2 + z2=9 and the planes…

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Q: Consider the following. B = {(-2, 12, -9), (-1, 4, -3), (-3, 12, -8)), B' = {(3, 2, 4), (1, 1, 2),…

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Q: Find the gradient vector field (F(x, y, z)) of ƒ(x, y, z) = x²y³ z³ . F(x, y, z) =

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Q: Use the Laplace transform to solve the given initial-value problem. y" + 3y + 2y = 8(t-5)+uo(t),…

A: The given Initial Value problem is                          y''+3y'+2y=δ(t-5)+u10(t)  ,     y(0)=0,…

Q: 4. Solve the recurrence relation an = 5an-1-6an-2 (n> 1) subject to the initial conditions ao = 1,…

A: Given recurrence relation an=5an-1-6an-2 subject to  a0=1a1=1

Q: Ife is defined as e¹=I+A+ where A = *].0<** the functions f(x) and g(x). 4 + 4 + 4 + -1 [1(x) 8(x)]…

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Q: Determine a series solution to the initial-value problem (1+2x2)y′′+7xy′+2y =0, y(0)=0, y′(0)=1.

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Q: Draw the graph and find the Fourier transform of f(t)=e-at, a>0.

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Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

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Q: Dashing Dan is driving south on Sunset Boulevard, where the speed limit is 40 miles per hour. He is…

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Q: Find the area of the region enclosed by y = 0.75 and = 5.5 - y². -4 -3 -2 -1 1 1 -2 -3 1 2 3 4 n Q…

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Q: Find all the eigenvalues and the corresponding eigenvectors of the matrix A = = 6 2 -2 2-2 5 O 7

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Q: Determine whether each of the following series (Sum from 1 to infinity) are absolutely convergent,…

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Q: Let f: [0.2] [5,6] be a function. (a) If the restrictions of f to [0, 1] and to [1,2] are injective…

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Q: Give a solved problem on Volumes of solids of revolution using Cylindrical Shell Method. Show…

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Q: where A = Ife is defined ase=I+A+ *].0<x< , 0<x< 1 and I is identity matrix, then find the functions…

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Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

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Q: DIRECTIONS: PROVE THE FOLLOWING VIA MATHEMATICAL INDUCTION. SHOW YOUR SOLUTIONS. 1. Prove 6 + 4 is…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: etermine the average value of f(x) over the interval from x = a to x=b, where f(x) = a=4 14 and b=…

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Q: The area of the region that lies outside of the circle r = 1 and inside of the circle r = 2 sin can…

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Q: Which of the following is the even periodic extension of the function f(x)=3x9-x²+x³-4, 0<x<L with…

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Q: 4. Solve the linear equation systems 2x, +5x₂+2x, = -8 by using Crout method, where (x₁+2x₂ + 3x₂ =…

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Q: Determine which theorem applies to simplify the following. It is possible that more than one will…

A: Given  Find the work done by the vector field Fx,y,z=yzcosxyi^+xzcosxyj^+sinxyk^ along the…

Q: The vector -3 (GIE) -1 -4 0 -7 vectors -3 2 belongs to the span of the 5 Select one: O True O False

A: Given: W=span-3-10, -1-4-7. To check v=-325∈W.

Q: can you in more terms how you found the domain of f(x)

A: f(x)=e^(−15ln2x) Now, ln x is only defined when x is positive, i.e., iff x &gt; 0 In fact, in the…

Q: f(x^2+y^2  ,  y^2+z^2  ,  u^2+xy)=0  This is a solution of PDE. I need a suitable  Partial…

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Q: Does there exist a geometric progression containing 27, 8 and 12 as three of its terms? If it…

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Q: For each of the following series, determine whether the series converges, diverges to ±∞, or…

A: We have been given the following series: i. ∑n=1∞sin23n+22n2-3 ii. ∑n=1∞1n-2π iii. ∑n=1∞n+1n3+2 We…

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Q: Calculate the surface integral where S is the portion of the plane lying in the first octant (x ≥ 0,…

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Q: iv. Does f(x) have any local maximum or minimum values? Find all critical points and establish if…

A: The given function fx=e-15ln2x, x&gt;0. We have to find the relative extreme points, and inflection…

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Q: The polar equation rsin²0 -∞ < t < ∞ represent exactly the same curve. = 2 cos 0, 0 <0 ≤ /2 and the…

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Q: If A 0 " P= [13] AP= PA, then what is A¹⁰ ?

A: Given: A=5-230, P=1213 To find: A10.

Q: If A and B are square matrices of the same order such that AB=BA, then prove by induction that AB" =…

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Q: Minimization of false trends in measurement caused by extraneous variables can be minimized by: A.…

A: Given: Statement: "Minimization of false trends in measurement caused by extraneous variables can be…

Q: Demonstrating Inequivalence Provide an appropriate countermodel, either finite or infinite, that…

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Q: There are (4n + 1) terms in a certain sequence of which the first (2n + 1) terms form an A.P. of…

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