[sec 0 tan 0 Ltan 0 sec Find the inverse of sec 0 c. -tan 0 -tan 01 [cos 0 sin 01 Isin 0 cos 0. sec 0 sec 0 sin 0 Lrane b. d. no inverse cos

Q: (b) Solve for the optimum to the following problem using the Karush-Kuhn Tucker conditions: Optimise…

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Q: . Find and classify all the critical points of f (x, y) = 7x – 8y + 2xy – x² + y³.

A: (2)  Given data curve is  f(x,y)=7x-8y+2xy-x2+y3.............(1) then fx=7+2y-2x    &…

Q: 3. An integer n : 1<n < 1000 is chosen. Compute the probability that the integer is... a) divisible…

A: Probability of divisibility

Q: Consider the two planes, T1: X = 4 – 2s + 3t - y = 1 +s + 2t z = 3 + 4s -t; s, t eR T2 : [x, y, z] =…

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Q: a = 3.5 cm, b = 1.3 cm, C = 90° A = 69.6°, B = 20.4°, c = 3.7 cm A = 65.1°, B = 24.9°, c = 3.7 cm A…

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Q: Determine if the following two lines are parallel, coincident or distinct: h:ri= (-5,-3, 1] + t (-3,…

A: The given lines are                          l1 : r1→=-5, -3, 1+t-3, 1, 0 ; t∈ℝ…

Q: 3. Consider A(r) = (y, -x,0), and the line integral A• dr along the C boundary of the plane x + y +…

A: The given vector function is A(r)=(y,-x,0)., the line integral ∮CA·dr is along the boundary of the…

Q: x³ + y% Solve the equation y' This xy? is a homogeneous, first-order ODE, set v = y/x

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Q: 2. Consider the ellipse with equation 1 and the hyperbola with equation = 1. a) Give coordinates of…

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Q: Solve the problem. 19) Mari drops a ball from a height of 18 meters and notices that on each bounce…

A: Given: Mari drops a ball from height of 18 meters and notices that each bounce the ball returns…

Q: Show that the function f defined by 1, (1, y) = (0,0) %3D f(r, y) = {1 +y (1, y) # (0,0) I+y is not…

A: The given function is f(x,y)=1 if (x,y)=(0,0)x2+yx+y if (x,y)≠(0,0) First we will show that the…

Q: Find the present value of the ordinary annuity. Payments of $550 made annually for 13 years at 6%…

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Q: 10. Let C' (R) be the set of all continuously differentiable functions. Show that W = {f : f' - Af =…

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Q: Improper Integrals - Integrating over an infinite interval. In this problem our goal is to determine…

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Q: example problem about Area Region Bounded by Different curves. Write the problems and the complete…

A: Question: If R is the region bounded by the graph of the functions fx=x2-6 and the graph of function…

Q: The matrix -12 7 A = 7 -5 -7 -14 has A = -5 as an eigenvalue with multiplicity 2 and A = 2 as an…

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Q: 4. Consider the Poisson's equation: Let u be a continuous and differentiable function in R, and let…

A: Let us start proving the problem step by step...   Let us take f,g as two different variables which…

Q: Determine convergence or divergence of the alternating series. 25) E (-1)n+1n+ /n n = 1 n2 + 1 8.

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Q: Determine the three roots of -32/2 - j32/2-32 2 - j322 .

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Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

Q: 9.9 Suppose there exists No such that sn No. (a) Prove that if lim sn = +0, then lim tn = +0. (b)…

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Q: 11. Solve the second-order differential equation y" – y' – 2y = 20 cos x using the method of…

A: To solve the second order differential equation by using the method of undetermined coefficients.

Q: . Find the 31 st term of a series that has an nth term given by (10+2n)

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Q: Find the formulation of a particular solution of y" + 3y' +2y = 3+t2 – te-2t cost without…

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Q: Given that dy dx when x-2 for the curve y=x3- 2x2 – 4x d2y Find and hence find which of the…

A: We have to find the second derivative of given function at x=2.

Q: cos (2n - п {a,} =- V2n? +1

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Q: 10. The following series are all divergent except n2 ΑΣο (-1)" > (-1)2n+1 1 Β. Σο C. E Foo +00 C+00…

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Q: 1. Solve the differential equation: xy' – y = 2x ln x

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Q: (b) A system which is represented by the given equation below, is able to work effectively even when…

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Q: # 3) Evaluate the Legendre symbol (55|179) using only the definition and multiplicative and mod p…

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Q: A y y = x2 + 1 y = x -1 2

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Q: 3. xdy – ydx = 3x2(x² + y²)dx 4. (3x2 + y?)dx – 2xydy = 0

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Q: Find the arc length of the curve r = 2/0, for 7/2 < 0 < T Arc length =

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Q: -2 Find C, where matrix C = [3/2 -1/2

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Q: 15. Let T : P, -→ P, be defined by T(a, + a,x+ a,x²) = (5a, + 6a1 + 2a,) %3D - (a, + 8a,)x + (a, –…

A: Follow the steps.

Q: Use the Laplace Transform to solve the initial value problem. y’’ – 3y’ + 2y = e^(-4x) ; y(0) = 1 ,…

A: The given differential equation is: y''-3y'+2y=e-4x Take Laplace transform both sides and linearity…

Q: Two tanks are interconnected. Tank A contains 60 grams of salt in 50 liters of water, and Tank B…

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Q: Find L{f (t)}of the following functions. Note: a, b, e, k and t are constants. t+1 ,0<t <1 1.…

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Q: Draw the components part diagram for the following table using a scale of 1:12. Label you…

A: Given: Draw the components part diagram for the following table use a scale of 1:12.

Q: 1. Consider the space of absolutely convergent sequences equipped with the following norm 1/2 )"…

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. S. cos…

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Q: let R3 have the Euclidean inner product and use the Gram-Schmidt process to transform the basis…

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Q: Choose as the right endpolnt of each subinterval. Then So the definite Integral Is glven by 9 dx 3D…

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Q: QUESTION 5 Consider the set y =ta.b.c.d. e) to answer the questions below. Please, do not write your…

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Q: 2х-1 7. Into how many partial fractions should dx be decomposed such that the (x++2x²+1)(x²–1)2…

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Q: II. Consider the function g defined by 1 g(1, y) = cos (7I)+ log3(x – y) Do as indicated. 1.…

A: Directional derivative of a function g(x,y,) in the direction of unit vector  u^=a,b  where ∇g=gx,gy…

Q: Solve by the Laplace transform, showing the details and graphing the solution:

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Q: The order of the differential equation whose general solution is given by y = c*+C2 + (C3 + C4) –…

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Q: Use the slope field below a. sketch the solution curve that corresponds to y-3)=0 b. estimate (0) on…

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Q: 8 a b and c

A: We use Conditinal equivalences and De Morgan's laws.