QUESTION 3 Select the expression that is equal to 12P4 12 x 11 x 10 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 12 x 11 x 10 x 9 none of these choices

Q: 2)1 I Solve the boundary-value problem y" + 9y = 0, y(0) = -3 and y(/2) = 3.

A: Given differential equation is y'' + 9y = 0,   y(0) = -3  and  y(π/2) = 3

Q: Hamid Find the akeas fak the fallawing regions Area enclosed by the diagram V= Sin 3

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Q: ii, Find the area under the graph y=5x⁴between the limits x= 1 and x=3.

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry? = 2y® +…

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Q: Use disk's (washer's) method to set up the integral finds the volume of the solid obtained by…

A: This is a problem of the volume of rotation.

Q: Question no. 2 Let A, B, C ben × n invertible matrices. When you simplify the expression:-…

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Q: how that if Λ ∈ Rn and if it meets:

A: Sol

Q: Let X = R – (0,0) and - be defined over X by setting x-y - y = tx for some non-zero ! E R. (a)…

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Q: (c) The problem of illegal parking in front of a busy shopping center has been monitored by the…

A: Sol

Q: 5. f(t) = e4 (t-cos(t))

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Q: 1. Prove the following limit. a) f(x)=x²+2x+6 where lim f (x)= 21 b) lim x-x+1=-5 x3 c) limx =8 x→2

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Q: Q Final the complement of she graphs in fig-t-34 figti3l

A: A complement of a graph G is a graph G that has all the vertices of graph G and G has edge between…

Q: 23 +5 z 1 Enter the value of 2 and of the derivative at that point, in the form æ2f'(x2). (d)…

A: Given :   f(x) = x3+5,x<17x-x3x≥1 To find :  (a) To find the critical points of f(x).…

Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx for some non-zero t € R. Given…

A: Sol

Q: b) x•0 = 0. X c) – 0= 0.

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Q: Give example open set is compact

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Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

A: Given: Let's consider the given, y=12πe-x22y=0x=0x=1

Q: The computer solution is shown in Figure 3.17. a. What is the optimal solution, and what is the…

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Q: 17. Find singular value decompositions (SVDS) of the matrices [1 0 1] A = 0. B = 1 and 1 0.

A: We can solve this using formula of SVD

Q: Question A network of one-way streets is shown in the accompanying diagram. The rate of flow of cars…

A: Given that  the rate of flow of car into intersection A =500 cars per hour the rate of flow of car…

Q: Use Green's Theorem to evaluate the line integral |(v - x)dx + (2x – v)dy for the given path. C: x =…

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Q: Test for exactness, if it is exact then find the general solution, if NOT USE USE THE INTEGRATING…

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Q: For Item # 8- 10: The function f (t) = t + 4t- 5 shows the number of pieces produced by a…

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Q: 1. Determine a positive root of f(r) = x+2x² + 10r- 20, %3D sing the Newton's method and an initial…

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Q: Find the root of cos(x)-3x+1 using the Bisection Method. Use radians mode for solving. Also, show…

A: We have to find the root of cosx-3x+1=0 using the Bisection Method.

Q: Evaluate (2x - y) dx + (x + 9y) dy. C: x-axis from (0, 0) to (0, -9) and (0, -9) to (6, -9)

A: Line integration

Q: Find the area of the shaded region. The image is not to scale. y= y=- Consider c=64. Enter the exact…

A: We want to find area of shaded region.

Q: Q3. Solve the following LP problem using the simplex method: Maximize: 2= 2x+y Subject to: 2x + y56…

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Q: Determine the exponential function given the graph. y ... (0, –1) (-1, –5)

A: We need to find the equation of the curve for which the graph is given.

Q: A fair die is rolled three times. What is the probability of obtaining at least two 5​'s?

A: Given a fair die rolled three times.

Q: i need to convert below z=64-4*x^2-4*y^2 and above the xy-plane into polar coordinate however i am…

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Q: Hewed Find the akeas fax the fallewing regions Area enclosed by the diagram V= Sin 3

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Q: Find the Laplace transform of f (t) = 6e-t +e + 5t -9

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Q: Find local extrema implict function f(x,y) = x*y given condition

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Q: cos t f(t)f" (t) If f(t) = then = f"(t) -1. 1+ sin t

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Q: Determine the exponential function given the graph. ... B = (-1,4) A = (1, 1) -4 -3 -2 -1 2 3 4 -1…

A: We want to find equation of given graph.

Q: Find the area of the shaded region. NOTE: Enter the ezact answer. y = z² +3 y =z 3

A: The area of the shaded region can be found using double integration. Here, the area is bounded by…

Q: 9. Find the root of cos(x)-3x+1 using the Bisection Method. (use radian). (Use radians in solving)

A: Given: cos(x)-3x+1 To find the roots of the given equation using the bisection method.

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: Integration using Greens theorem

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry? = 2y° +…

A: Surface area of revolution about y-axis  S = ∫ 2πx ds where ds=1+dxdy2dy

Q: Let X = R? – (0,0) and - be defined over X by setting X~y + y = tx for some non-zero t e R. (b)…

A: Sol

Q: Consider the spring-mass system x' = x-4y y' = -5x (1) Find the individual straight line…

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Q: x3 – 2x2 – 5 = 0, [1,4]

A: Sol

Q: Suppose_that a baundlecd tn R with du = o un u = Au on the boundary 20. Show that gran Carel is…

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Q: a. Use the formula for general solution to solve the following equation b. Check for your answer.…

A: The solution is given as

Q: + y4 + z4 = 3x?y²z?, (1, 1, 1) (a) Find an equation of the tangent plane to the given surface at the…

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Q: 2. Given that cos pv o v+B? 2B (a) Find the Fourier transform of x+b? (b) Use the result from (a) to…

A: Sol

Q: Answer the following awestion below algubra multiple-chaice #21. the charncteristic polynomial of a…

A: Eigenvalues and matrix

Q: Q3/ Find the area of zone bounded by curves: y= x? y= 3x+8

A: The given curves are; y=x2, y=3x+8 Now find the point of intersection between the given curves.…

Q: The length in meters of the four sides of a building are 3x, 6x - 5, 9x, and 4x + 1. (a) Calculate…

A: (a). Add 3x, 6x-5, 9x and 4x+1 to calculate the total length around the building.…