QUESTION 4 Compute the Jacobian for the change of variables given by u=x+y and v=x-y. O a.-2 O b. Oc. 1 O d. 2 Oe. Some other answer. 1 2

Q: 6. Let g(x)= Find the domain of g(x). x-4

A: Domain :- The set of inputs accepted by the function.

Q: 9. Which figure comes next in the series? 000 do A ● o ● 6 ● 103 B C ● 9 ●●● D

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Q: Problem Solving A. The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B.…

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Q: Suppose your friend loans you $200 for a week, which you agree to repay with 6% one-time interest.…

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Q: 6. 2y" y' = 0. Sketch the phase portrait (including equilibria, orientations/directions of arrows),…

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Q: Let B be an ordered basis for R² and linear transformation to be "identity transformation" L(v) = V…

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Q: Let T be a linear transformation from R² into R² such that 7(1, 0) = (1, 1) and 7(0, 1) = (-1, 1).…

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Q: Given points:(1,1) (3,1) (6,1) (3,3) (6,3) (2,1) (4,1) (7,1) Question: Create a standard matrix…

A: Given points are 1,1, 3,1, 6,1, 3,3, 6,3, 2,1, 4,1, 7,1

Q: φι dz (z-zo)" [2πί το n = 1 n>1

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Q: 3. Six faces of a cube are shown below. Write a possible group of 2 faces that are opposite to each…

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Q: 3. Find the optimal strategies and the value of the game for the following payoff matrix: PLAYER 2…

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Q: Determine the forward, backward, and central differences for du/dx for the function u(x,y)=2ye^-x at…

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Q: The table contains data on the admission price (in dollars) for one-day tickets to 10 theme parks in…

A: First obtain the five number summary then use the formula for interquartile range (IQR), i.e.,…

Q: 3 6 Let y = [8] Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to…

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Q: Compute the product 0 () 0 (²) as a 2 x 2 matrix. What kind of isometry is this product?

A: Given product is  Oπ5O2π15 where Oθ represents rotation matrix through an angle θ in anti-clockwise…

Q: Write the following system of equations as matrix equations Ax=b and solve the computing A-¹b.…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to perform the iterations and to approximate the…

Q: -2π 1.²* esin(ne) cos(- cos(nº))de = 0 0

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Q: Find the work done by the three-dimensional inverse-square field 1 F(r) = r on a particle that moves…

A: r(t)=<6,2,3>+t<2-6, 6-2, 9-3> r(t)=<6-4t, 2+4t, 3+6t> r'(t)=<-4, 4, 6>…

Q: 6. The height function of a projectile is given by h(1)=ar²+ +vt+d, where time, f, is in seconds,…

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Q: Let F(x,y,z) = x²zi+yj-xz²k Find the curl of F. O a.-1 Ob. 1 Oc_x²-2² O d. x² + z² Oe.x2-2² Of.…

A: We need to find the curlF of the given vector valued function F

Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. HE 2.f(t)= cosh wt sin wt

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Q: Given: f(x) = ln (1+x) Using the given function at x0=0, approximate f(3) by making use of the…

A: Given function: fx=ln1+x

Q: the following series is convergent or diverg u are using in each case. Σcos(nn) n² + 3n-2 n³ +4n² -…

A: Test for converges,

Q: ABCD Property

A: gytftrjhgfytfguhdrgtrzsefgfgbfdthnfdrdythjhvxsrfghkjvcdythiubcrghjjcrjt

Q: Let {ƒn (x)}~_₁ be a sequence of functions. ptwise Explain very clearly the difference between ƒn…

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Q: nd sine half range for f(x) = \cos x for -1<x<1 COSX for 7<x< 0. f(x) COSX for 0 < x < π.

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Q: PLEDIS MANUFACTURING assembles stereo equipment for sale in his shop, he offers two products,…

A: We have to find the number of turntables and cassette players which should be made per production…

Q: Find the centroid of the region bounded by y² = NOTE: Enter the exact answers. 16x and y² = 32(x −…

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Q: Z6 is isomorphic to U(7) by giving an isomorphism φ from Z6 to U(7).

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Q: Evaluate the determinant 1     6    0 4     2    7 0     5    3

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Q: 10. Let (G, *) be a group, and let H≤ G. Define N(H) = {x € G: x¹ *H* x = H} [Normalizer of H in G].…

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Q: VIII. Suppose that X,Y are uniform on x² + y² 0. Find 1. marginal pdfs fx and fy 2. E(X) 3. fy(y|x)

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Q: VIII. Suppose that X,Y are uniform on x² + y² 0. Find 1. marginal pdfs fx and fy 2. E(X) 3. fy(y|x)

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Q: HW12_1 Solve the following initial value problem to find y(2). dy = yt² - 1.1y, dt using midpoint…

A: given IVP  dy/dx = yx2 - 1.1y , y(0) =1 and h = 0.5  Midpoint method :-   y(2) = 1.36427

Q: Park bought a house 15 years ago, taking out a $140,000 mortgage at 6% interest for 30 years, making…

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Q: unif Suppose fn and f are integrable, and that fn →→→→ ƒ on the interval [a, b]. Show that b L fn…

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Q: -{ts- S (s-1) (s+2)

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Q: 9. 3 and 6 have an interesting divisibility rule. Find another number that has a similar rule.…

A: Divisibility rule of 3:  If the sum of digit is divisible by 3. Divisibility rule of 6: If number is…

Q: Find the nth term of the following series: 1.) 3 + + + 2.) 1 3 + 3 − 2 + 10! zz +

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Q: (a) Find a vector parametric equation for the part of the saddle z = xy inside the cylinder x² + y²…

A: The equation of surface is defined by the part of the saddle z=xy inside the cylinder x2+y2=36.

Q: Select the prime numbers. 71 1 61 4528

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 -…

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Q: What is the greatest common factor of two relatively prime numbers? Enter a numerical value.

A: We will find the greatest common factor of two relatively prime numbers. Greatest Common Factor: The…

Q: The parametric surface R (r, 0) = A = ) = r cos (i + r sin 0j + 0k, for 0 ≤ 0 ≤ 6π, 0 ≤ r ≤ 1, is a…

A: Given parametric surface  R→r,θ=rcosθi+rsinθj+θkfor 0≤θ≤6π, 0≤r≤1

Q: 2 -3 -5 -1 3 Let A = 400- 4 5 B = 1 -3 1 -3 -4 -1 3 3.) (AB) C 4.) CTC 5.) 3A + 4B - 5C 5 -5 5 C = 2…

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Q: X w(t) Let G(x) = √² (4) dt. a - 1. Find a function, w, and a number, a, such that G(x) = 4x-² w(x)…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A: find the volumes of the solids generated by revolving the regions bounded by the graph of the…

Q: 7) F(s)= 1 s² + s/2 Ans. f(1)=2-2 e 1/2

A: We have to find the inverse Laplace transform of the function F(s)=1s2+s2 .

Q: QUESTION 14 Let F(x,y,z)=x²zi+yj-xz²k Find the divergence of F. O a.-1 O b. 1 Oc_x²-2² Od.x²+z²…

A: F(X,Y,Z)=P(X,Y,Z)i+Q(X,Y,Z)j+R(X,Y,Z)k Then divergence of F , div(F)=∂P∂X+∂Q∂Y+∂R∂Z