Determine the curl of the vector field A = pz sin o ap + 3pz cos o ao at (5, ,1) %3D O-1 O -6pz cos o +p sin o O 4 O 6 cos 0 cos o

Q: 6. Find a prime number p for which the equation x2 = -1 mod p has no solution.

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Q: Let f be on [aib] and differentiable on Caib), Prove that continuous If azo, then there are if X3…

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Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. if || f|| = 4, ||| 5 and || f…

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Q: Let (V, (, )) be an inner product space and let v, w be vectors in V. If (v, w) = 7 and w = 5, then…

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Q: 2. Determine the second derivative of f(x)= x'e* at x = -2 with a step-size of h=0.50 using Central…

A: Given function is f(x) = x2e2x and h = 0.50

Q: Consider the vector-valued function F(2,) = [xy² + 2ye* х, у y 3xe-y Which of the following are NOT…

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Q: 2. Use the met hod of undet er mined coefficients to solve t he syst em x' = Ax+f, where b. A = f(t)…

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Q: 20. In a coordinate plane, plot points L(1, 1), M(5, 3), N(3, 2), and P(2, 5). Draw LM and NP. How…

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Q: [8 1 3 7] 0. 5 k 4 Let A . If the dimension of the eigenspace corresponding 0. 0 8 5 0 3 0. to…

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Q: Consider the following. W = cos(x - y), x = t², y= 51 (a) Find dw/dt by using the appropriate Chain…

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Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. If || F|| = 4, || g|| = 5 and…

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Q: 1 List the elements of each of the (a) The set of integers between 1 and 50 that are divisible by e…

A: We have to right the givens sets into roaster from of set notation.

Q: Q1\calculate x1, x2, xn from the following equations: -3x1 + 9x2 + xn = 2 5x1 - 2x2 + 3x,n = -1 2x1…

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Q: 7.3 Exercises 1. Use the met hod of undetermined coefficients to determine only the form of t he…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Section 6.2 p. 559/561 # 88 In the following exercises, differentiate the given series expansion of…

A: Here we use basic differentiation and power series expansion to find this.

Q: Question Find all the critical points of and classify them using the second derivative test. f(z, v)…

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Q: Evaluate triple integral S*dz dx dy.

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Q: 6. Let y = 9 , U1 , U2 1 |3| L10] 1 Compute the orthogonal projection of y onto W = Span{u1, u2}.…

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Q: You are given the data points (xi, Yi) for i = 1, 2, 3: (2,5), (1,9), (2,9). If y = a + Bx is the…

A: Given: A data points 2, 5, 1, 9 and (2, 9). To find: The equation y=α+βx by least square line that…

Q: Question 34. Let A be a symmetric matrix. Suppose that u and v are two eigenvectors of A…

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Q: Consider the 3 x 3 matrix A defined as follows 4 -8 -1 -8. -4 -1 a. Write down the characteristic…

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Q: The polygon shown is concave.

A: Here the given polygon has 4 sides. We are to show that the given polygon is concave.

Q: dx 3. Evaluate the integral 1 = Jo?+6x+10 Include 4 decimal places on your computation. a. single…

A: According to bartleby rule we can solve only first question or 3 subparts of first question

Q: If A = (aij) is the matrix of the quadratic form xi+3x, - x - 6x1x2 + 22x1x3+8x2x3, then the value…

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Q: 3. 37 Consider the orthogonal basis B = -3 10 of R3. 3 1 5 Let v = -64 15 a If vB =|b|, what is the…

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Q: The center of pressure on a sail is the point (ap, Yp) at which the total aerodynamic force may be…

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Q: Find the surface areas of the figures on the right. (a) The surface area of the right trapezoidal…

A: Given the right trapezoidal , we are to find the surface area of the trapezoidal.

Q: Given the series, is it convergent or divergent? Eto 4+cos?n n%=1 3n-Vn n%=D1

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Q: Set up but do not solve an integral to find the volume. The base of a solid is the region enclosed…

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Q: 3Fita secand order polynomial bo the dafa in the table below X 1 2. 18 27

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Q: Let T: P2 – P2 be defined by T(p(x)) = p(5x + 3) and let B = {1, x, x²}. b c] а If [T]B = |d e f,…

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Q: Let B = {b1, b2} be a basis for a vector space V. Let T : V –→ V be a linear transformation with the…

A: let B={b1,b2} be basis for vector space.

Q: 10. Algebraically determine how long, to the nearest tenth of a month, it takes the smartphone to be…

A: Use log properties to solve the question.  Log table or log calculated needs to be used.

Q: a inside r= 2 aulside

A: Area is 9.42

Q: Given: an = In(n+ 1) – In(n) for n E N | Determine if the following is convergent or divergent. (b)…

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Q: 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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Q: Question 12 -9 The eigenvalues of 1 are and

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Q: 2. Apply the eigenvalue method to find solve the initial value problem: (b) xị = 2x1 – 5x2 x = 4x1 –…

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Q: Solving a differential equation using the Laplace transform, you obtain Y(s) = L{y} to be 15 18 2s…

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Q: linear systje is defined by the following equatiosn, -1, -xi + x2 - x3 2x1 + 6x2 – x3 6x1 + 5x2 +…

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Q: A model created by an engineer is represented by the following multivariable functions (a) Find O he…

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Q: 1.1 Show that if |z| < 1. then lim z" = 0. %3D 1.2 Show that lim Vn = 1.

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Q: Determine Z-transform for the following sequences: a) x[n] = (÷)"(u[n] – u [n – 1])

A: Z-transform Solution a: Given x[n]=12nu[n]-u[n-1] Since we know Zun=zz-1 and Zun-m=z-mzz-1 So…

Q: PLEASE ANSWER NUMBER 3 MATH 221 : PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT…

A: Solution 3: Given system of linear equation is 2x1-x2+0x3=2x1-3x2+x3=-2-x1+x2-3x3=-6 with initial…

Q: Find the special solution to the following partial differential equation: (D+ D'- 1)(D + 2D'-3) = 4…

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Q: A model created by an engineer is represented by the following multivariable functions w = ze*y¸ I…

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Q: The given vectors form a basis for R3. Apply the Gram-Schmidt Process to obtain an orthogonal basis.…

A: The solution is given as

Q: 4. Find the solution of the system of linear equation a) By Matrix Inversion b) By Cramer's Rule 2x…

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Q: 3)Solve D-E リラ=メジ (ans.jole) .

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