1. Let u and v be vectors in R". Suppose ||u||2 = 2, ||v||² = 1, and u·v = 1. Compute

Q: please send handwritten solution step by step find dN/dt and express this in terms of N

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Q: For the given matrices, verify directly that (RS)* = S*R* and (EP)* = P*E* %3D 1 2 3 i R = S = 3i 4…

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Q: 86s – 78 Find the Inverse Laplace Transform of (s+3) (s – 4) (5s – 1) - (A ,-3t – e 41 4e 41 4r B) 5…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: SET-UP the double integral that solves for the volume of the solid: ?+2 = 4 2+y = 4

A: Volume of a solid using double integral is given by V=∫∫A z dy dxwhere A is the projection of the…

Q: 3. LetR be the region shown in the accompanying figure. Fill in the missing limits of integration.…

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Q: (BACKWARD INDUCTION) Two players have to share 50 coins (of equal value). Players' payoffs are the…

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Q: 4. SET-UP the double integral that solves for the volume of the solid: *+2 = 4 2 +y = 4

A: Given that

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A: Given: Both cone are similar

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

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Q: Let R be a commutative ring with identity. Is it possible for R[x] to be a PID without being a…

A: Yes , it is possible for R[x] to be a PID ( assuming R[x] is PID ) without being a Euclidean domain.

Q: Suppose (-2 if-25x<-1 -1 if -1Sx<0 0 if 0sx<1 if ISx<2 Find f(-2), s(-0.25), and /(1). (-2) 0 (-025)…

A: Suppose that the function is defined as follows: (i) If -2≤x&lt;1, then f(x)=-2.(ii) If -1≤x&lt;0,…

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Q: For which value of k does the matrix -3 k A : 7 -1 have one real eigenvalue of multiplicity 2?

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Q: v 38. Motion along a circle Show that the vector-valued function r(1) = (2i + 2j + k) i + V3 + sin t…

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Q: The slope of the surface z ry in the r-direction at the point (2,3) is. slope of this surface in the…

A: The slope of the surface z=xy2 in the x direction at the point (2,3) is =∂Z∂x2,3 . Now ∂z∂x = y2.…

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Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: In part (a) we will use the Bisection method in which if root lies between a    and b then root is…

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Q: Let 1 9 i = Find a basis of the subspace of R4 consisting of all vectors perpendicular to v.

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Q: Find the value of X and Y in given that; -5 1 6 R = - 1 S = 3R + S = 4 y -1 8 3. 2. 2.

A: We want to find the value of x and y.

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A: 1st we will find work done to empty a horizontal slice of water , Then integrate it to find total…

Q: Let f be continuous from [0, 1] to [0, 1]. By posing 6(x) = f(x) – x, show that fhas a fixed point…

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Q: Using the method of undetermined coefficients, find the particular solution of the following initial…

A: The given initial value problems  a)y''+4y'+4y=2te-2t, y(0)=1, y'(0)=-3 b)y'''-y'-y=0, y(0)=0,…

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: + 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: 3. Supply the missing integrand and limits of integration 62*y drdy = dy (b) L"62y dydr = L dr

A: Introduction: The double integral is most commonly used to calculate the surface area of a…

Q: 8. Find the root of cos(x)-xe¬* using the Newton-Raphson method.(Use radians in solving)

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

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A: Let us find the height of the frustum of the cone in the next steps.

Q: Q1/ A waveform f(t), is defined by f(t) = 45 0sts1.5 period =2.5 1.5 <t< 2.5 1) Sketch f (t) on the…

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Q: Find the volume of the pyramid with base in the plane z = -9 and sides formed by the three planes y…

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Q: 23. Find the coordinate vector [r]B of x relative to the given basis B = {b1, ...,bn}. 8 bị by 4 b3…

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Q: Use false position methodto find the solution to the following within 10−6

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Q: Evaluate the following integral by: a) single application of Simpson’s 3/8 rule

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

Q: (x – 2)² – In x = 0, [1,2]

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Q: hw.2 Evatuate the fotawing cartesian integrats by changing theminte equivalent Pala integrals: dy dx

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Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

A: The box must be 6 feet long on the inside, 4 feet deep on the inside, and without a top. 2/3-inch…

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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: In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize…

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Q: In questions 2, 3, and 4, consider the following biobjective linear pro- gram (BOLP): minimize [f1…

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Q: 1. (Qл R) v^P 2. "Q 3. Q → ~R P.

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Q: b) Z = Arctan ( x² /y³)

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Q: sin x – e-* = 0, [0,1]

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Q: Please answer number 1 use 4 decimal places. Find the positive real root of f(x) = x^4- 8x^3-35x^2 +…

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Q: Question : Draw the graph of the following function and include the asymptote and x-intercept (if…

A: We will have to draw the graph of f(x)=-3log(2x+4), with x-intercept and asymptote.

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

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