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Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with r...

A: We have ,  f(x , y) = 4e-x2-y2 - 4x2 + y2 By using polar coordinates , plug x = rcosθ  , y = rsinθ T...

Q: Liam makes fruit punch by mixing orange and pineapple juice 120 ml of orange juice 320 ml of pineapp...

A: Liam makes fruit punch by mixing orange and pineapple juice 120 ml of orange juice 320 ml of pineapp...

Q: DFor the rational function, FlZ)=I+2 アーリスース follawing features show yaur work. identify the a) hale(...

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Q: Writing logical notations to compound statements Let p: Man is rational. q: A century is 100 years. ...

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations. xy =...

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Q: 5. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4 y(0) =y'(0) = O using L...

A: Given differential equation is y''(t) - 3y'(t) + 2y(t) = 4 with y(0) = y'(0) = 0

Q: Question 3 Solve for the optimal x*, y*, z*, and 1* of the following problem: max(xy.z.à) 2x² + 3y² ...

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Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3

A: To evaluate the given matrices. 

Q: Find amd inf of up B- g m, neN{ CR

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Q: 25 s3(s2 +4s+5)

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Q: 7. Determine whether the following statements are true or false. Justify why. a. A function is incre...

A: (a) let the function f(x) be increasing in the interval (a,b).    Then f'(x) [slope of the tangent] ...

Q: Evaluate the unoriented line integral +y² + z²) ds along the parametric curve a : [0, 1] → R³ with a...

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Q: Problem. Tony and Sasha showed that the plane E spanned by A = B = (1,2, 5) has a vector equation (2...

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Q: Obtain the solution using Integrating Factors Found by Formulas. 1.) 2(2y² + 5xy - 2y + 4)dx + x(2x ...

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Q: Derive the following rules from the Logical Equivalence Rules. 1 Absorption Laws 2 Material Equivale...

A: This is a problem of logic.

Q: (b) 4x Find any values of x such that the vectors 3 and are parallel X-1 to each other.

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Q: 17 1 and W 3 Span 1 1 . Find the closest point to Let y = -2 2 -2 y in the subspace W. a b If the cl...

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Q: 4. Find the general solution to the differential equation y²y" = y/ (where y' = )

A: To find solution of the differential equation: y2y''=y' 

Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. tet-lu(t – 1) 4. t cosh 2t...

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Q: 1. For this question, use N as the universal set. Define f = {(X,Y) E P(N) × P(N) : XUY = N and XnY ...

A: Given that N(set of Natural numbers) is a Universal set. Also, given is a relation from P(N) to P(N)...

Q: OFind a root of an equation f(x)=2x-2x-5 using Newtor aphson Method

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Q: Let A, B, and C be invertible matrices. Then (4C2BTA-1)-1 is equal to 글A(BT)-1C-2 None of the mentio...

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Q: s+4 The partial fraction decomposition of (s–1)°(sª+4) is A+ + В Cs B (s-1)2 -1)² +4 (s–1)² s2 +4 O ...

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Q: こ。 2よx dり

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Q: Find the area of the part of the surface ¤= (y/2 + z3/2) with y E [0, 2] and z E [0, 2]. Area =

A: For the solution of the problem follow the next step.

Q: Q5: Solve the following differential equation, 1 dx sco e de ,x(T/2) = 3 %3D x2 csc 8

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Q: LineaY solve this System (x(0), y(0)) = (3,-4) %3D %3D Find the Particalay soloution

A: Given: System of differential equations, x'=yy'=-x with x(0), y(0)=3, -4

Q: Example H·W : CHECK POINT 1) Determine the convergence or divergence of the following series , and f...

A: Multiple :  (a) We have givens series , ∑k=1∞-34k-1 Now , ∑k=1∞-34k-1 = ∑k=1∞-34k-34-1 ∑k=1∞-34k-1 =...

Q: 2. 3.

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Q: 1 2 3 4 5 6 7 8 0 A = Calculating the inverse of A manually is probably not a pleasant work. Here th...

A: Let , A = 123456780 We need to find Inverse of A. We will Gauss-Jordan Elimination method, Since , w...

Q: 10- A cosine function has a maximum value of 1, a minimum value of -5, a phase shift of t/4 to the r...

A: The general equation of a cosine function is given by the equation; y=Acos(Bx+C)+D Where A is the am...

Q: Exercise 3. Let A = 0 2 (a) Compute the eigenvalues of A and for each eigenvalue a corresponding eig...

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Q: The set S = {(1,1, –4); (2,2,1); (1, –1,0)} form a basis for R³. Which of the following statements i...

A: A basis {u,v,w} is said to be  Orthogonal basis if, u.v=0 , v.w=0 , w.u=0. Orthonormal basis if u.v...

Q: = [cos (t -) + sin (t-)u (t –) 14. F(t) = 2m,0 st<3; F(t+3) = F(t) 13. F(t) %3D 15. F(t) = 0(1,0<t<4...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: PROBLEM 2. Let U = {a, b, c, d, e}, A = {a, b, c}, B = {b, c, d} and C = {d, e} Find each of the fol...

A: Given set is U=a,b,c,d,e, A=a,b,c, B=b,c,d and C=d,e. a We have to find the A'∪B. First find the A',...

Q: 5. Find the extremum points of the function (the minimum and maximum points, the values of the funct...

A: Given:y=2x3-15x2+36x-14

Q: Let V be a vector space of dim 3 over R let T : V → Vbe a Linear Transformation 1. -1 given by the m...

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Q: Prove 1-3. 1. Show that the sum of two lower triangular matrices is a lower triangular.

A: We have to prove that the sum of two lower triangular matrix is a lower triangular.

Q: 0, above by the sphere x? + y? +z? = 4 and on the sides by Let E be the region bounded by the plane ...

A: Given: E is the region bounded by the plane z=0, above by the sphere x2+y2+z2=4 and on the sides by ...

Q: Find the solution of the initial value problem substitution y-erX in to given defind

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Q: 2. Let the rref of a matrix A be, 1 0 2 0 -2 0 1 -5 0 -3 0 0 1 6 Determine A if the first, second an...

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Q: Calculate the results of the following expressions using the MATLAB Command Window. -3 (a) T - 1 (b)...

A: % MATLAB CODE(Command Window) :

Q: Solve, 3 5 2 1 8 -8 7 4 1 - 5 0 6 3 4 det

A: Given matrix is A = 43520189-8741-5063

Q: The temperature T, at a point (x, y) in the xy-plane is given by T(x, y) = 4x^2y^3 degrees Celsius. ...

A: We have to find a unit vector in the direction in which the temperaturedecreases most rapidly at (2,...

Q: Question 14 Solve the problem. Find the equation for the tangent plane to the surface z = 8x2 - Sy2 ...

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Q: Question 7 The following function is homogenous of degree what? f (x, y, z) = x²zy + z² Vx²y² other/...

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Q: Prove |°z 'z|>|°z|-|'z|

A: We have to prove  z1-z2≤z1-z2            orz1-z2≥z1-z2 NOTE : The polar form of a complex number z=x...

Q: Use the Condorcet method to determine the winner of the election. Four students are running for pres...

A: We make the comparison for the following pairs  A and BA and CA and DB and CB and DC and D A and B ...

Q: 5. Let A = {n E Z; n is odd} and B = {n E Z; 3n² +7 is even}. Prove that A = B.

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