Verify Stoke 's Theorem for F = (x² +y – 4) î + 3 xyj + (2 xz + z²) k over the surface of hemisphere x² + y² + z? = 16 above the xy-plane.

Q: Given 7 f(x) dx = –10 f(x) dx = 8 g(x) dx = –1 g(x) dx = -8, %3D compute the following integral. 7 |…

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Q: Express each answer to three decimal places. a) ?^? = ?? b) (5.4)x = 234

A: "Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q: Classify and Solve dy sin x dx sin x sin 2x +y cos x

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Q: . Let G be a group of order 425. Prove that if H is a normal ubgroup of order 17 in G then H <Z(G).

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Q: Find the work Fdr done by the force F i+ yj+k around the curve C that is formed by the intersection…

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Q: Which of the following is an identity element of the binary operation (*)? Possible Answers: e * b =…

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Q: Find the amount applied to principle for the third month of a 4-year loan of $12,200 which charges…

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Q: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors â = [1, 0.-3), 5=…

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Q: 1. Prove that if A is infinite and a e A, then A – {a} is also - infinite.

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Q: r5 2 sin(x) dx. 10 x to approximate the integral - h =] • x0 f(xo) =_ f(xo+h) =| f(xo + 2h) = f(xo +…

A: Trapezoidal rule, evaluation of the definite Integral

Q: At least one of the answers above is NOT correct. Determine whether the following matrices are in…

A: Echelon form of the Matrix

Q: 10. Let A be a nonsingular n xn matrix, and let B be a basis for R". (a) Show that B1 = {Av | v € B}…

A: The complete solution is in given below

Q: 1. If you want to have $60,000 in 8 years, how much do you need to deposit in the bank today if the…

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Q: A function f is of bounded variation on the closed interval [a, b] if there is a number K such that…

A: Given that, A function f be a bounded variation on the interval a,b Then there exists a Kreal number…

Q: a) The series 1 (In(n))In(n) Converges. n=5 b) The integral f 1 dx converges. (In(x))In(2) c) The…

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Q: The gradient vector field of f(x,y)=y(2x2 -y3 ) is given by: O1. (2xy)i +(x2 -3y² »i O II. (4xy)i…

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Q: Show proof that this equation is an exact differential: (y + z)dx + xdy + xdz

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Q: B3: Consider the matrix: 1 3 A = -2 -3 -3 2 -1 -1 a) Find the eigenvalues of A. For each eigenvalue…

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Q: Suppose that integers c, d such that and are positive integers such that b2 – 2a? = 1. Prove that…

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Q: -3 1 -3 4 -1 4 If A = -3 -3 -2 and B = -4 -2 -2 -1 -1 -4 -1 -3 -2 3B = an

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Q: 5- If A is 5x3 matrix, Proof that columns of A form linearly dependent set.

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Q: Amishi deposited $600, at the end of each six months for 18 years in a savings account. If the…

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Q: : For this question we define x+n - n<x< -n/2 -x -7/2 <x< 7/2 f(x) = 1/2 <x<n k with period 27,…

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Q: Applying both a. Bisection Method and b. False Position Method Solve for a root/roots of the…

A: Given is a function with an initial guess In first part (a) the Bisection Method is to be used to…

Q: a b C d 0 1/2 0 1/2) 1 P = 1 d \o 1 Identify the communication classes, their periods, and whether…

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Q: Consider the differential equation y' (t) + 8y(t) = 6cos(lt)u(t), with initial condition y(0) = 6,…

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Q: *+1 dx = 0 3- xex dy +- y

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Q: (2) This exercise is to convince the student that the extension of the differentiation rules from…

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Q: 5. In how many ways can you arrange 7 plants in a row? * 270 540 720 5040 6. Find the number of…

A: Permission and combinations,  arrege the word CALCULUS

Q: What method of solving for the volume if the solid of revolution is obtained by rotating the region…

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Q: Which of the following is the solution of the linear system -x+2y-2z= -6 , -2x-2y-4z =9 None of them…

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Q: 4iw i3w3 + 6i²w2 + 11iw + 6

A: Given: 4iωi3ω3+6i2ω2+11iω+6 To find: Inverse Fourier Transform of the given expression.

Q: Rodrigo buys a jacket that is on sale for off the original price of $80. He has a coupon for an…

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Q: The table gives the temperature (in °F) in five cities at 6 a.m. on the same day. Use the table to…

A: Temperature of the city's

Q: 2 4) The graphs of y=x and y=x make it obvious that x >x for all real number x > 1. Use induction…

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Q: Tara wishes to accumulate $29,000 in 3 years. Use the appropriate formula to find the sinking fund…

A: Given: Future value = FV = $29000 r = rate per period = 8%  =  8/2 = 4%      n = number of periods =…

Q: Find a and b such that [图-1-8 -27 9. + b 3 a = b =

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Q: 2k >1+ k

A: We want to prove 2k ≥ 1 + k

Q: A ball is dropped from a height of 30 meters. Each time it strikes the ground, it bounces up to 0.8…

A: Given that a ball is dropped from the height of 30 meters. Each time it strikes the ground, it…

Q: Solve: A) 4^x = 1024 B) 3^5x = 9^(2x-1)

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: 13. Find 231/3 by solving for the zero of f(x) = 23 – x. %3D

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: . Let G be a group of order 425. Prove that if H is a normal ubgroup of order 17 in G then H < Z(G).

A: Solution

Q: Find all solutions of"equaion: the X+I 2^+7* = 2•3^+5X.

A: We are given the following equation : 2x+1 + 7x = 2×3x + 5x And we have to find all the solutions…

Q: Let A be an n x n matrix and let I be the n x n identity matrix. Show that if A? = I and A + I, then…

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Q: How many times more intense is an earthquake of magnitude 8.2 than an earthquake of magnitude 7.5?

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Q: 6. How many years will it take for $136,000 to grow to $468,000 if it is invested in an account with…

A: According to compound interest if the principle value P invested under r% compound interest per year…

Q: Your bank pays 8% interest, compounded semiannually. Use Table 12-1 to find the future value (in $)…

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Q: 12.Apply the method of Frobenius to obtain two linearly independent series solution of the…

A: Solve the differential equation, by using power series method

Q: D. Write TRUE or FALSE on the space provided before each number. _6. x € {x, y, z} _7. x {{x}, {y},…

A: We have to check whether given statement is true or false.