10 -7 Let u = and v = Compute u • v, v · v, ||u|| and find the dis- 13 16 tance between u and v.

Q: Calculate f(t), if given F(s) the following is (s -a)² +b² (s - b)? (5). F(s) = In %3D

A:

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Q: Find the inverse Laplace transform. F(s) = 3s+1/s^2+4

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Q: The graph of a function f is given. 0 i 10 Estimate f(x) dx using five subintervals with the…

A: ∫010f(x) dx

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A:

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A: Given below clear explanation

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A: We want to find the shaded area.

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Q: Let L(y(t)) = Y(s). The Laplace transform of another solution to the second-order differential…

A: Given solution is Ys = 5s2 +s -1s3 +9s  This can be written as Ys = 5s2 +s -1s s2 +9          = -19…

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A: We want to find key difference in binomial and geometric distribution.

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A: a. It is not a power function.

Q: Find the eigenvalues of the matrix -43 60] A |-30 42 The eigenvalues are (Enter your answers as a…

A:

Q: Suppose there are n lines in the plane, no two are parallel and no three are intersecting at one…

A: suppose there are n lines in the plane ,  no two are parallel  implies, each line intersect every…

Q: dw + 3wdx + wdv - 4 dx = 0 (x+1) (x+1)²

A: Let us solve the linear differential equation in the next steps.

Q: B. Use the Newton-Raphson method to find the root of f (x) = e¬0.5x (4 – x) – 2. %3D Employ initial…

A: Here we use python code to solve this problem.

Q: As x → -00, f(x) → 0 lim f(x) = +o∞ x→(-1)- lim f(x) = -o∞ x→(-1)* lim f(x) = –1 x→0 lim f(x) = lim…

A: Solution:-

Q: Find B and t for the space curve r(t) = (5 sin t) i + (5 cos t) j+(12t) k. 12 T = i+ sin 13 CoS j+ k…

A: Here the given space curve is…

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A: Given: The smallest diameter=177 The general equation of hyperbola x2a2-y2b2=1 The height of the…

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A: The linear programming problem given is as follows: Maximize P=2x1+9x2Subject…

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A: Given Number of voters            9            11            9            5            22 1st…

Q: 200 Ei. Calculate the sum j = 1

A:

Q: 8. Solve the following IBVP: U = u + sin(3nr), 00, u(0, t) = u(1, t) = 0, t20, u(r,0) = sin(72),…

A: Solution

Q: Check the stability of the system x1 = –xỉ + x² x2 = -x1 + 2

A:

Q: Problem 3. (a) Find the general solution for the system of ODE (4 -3) x' = 8 -6) X. Describe the…

A: Please post the multiple parts separately. Here I answered 1st part only as per our policy.

Q: For the system fi(x) = 10 x1 sin x2 + 2 = 0 f2(x) = 10 (x1)² - 10 xị cos x2 +1 = 0 a. Using the…

A:

Q: = 2* and the chord joining the poin Ans. 5- 3/n Find the area between the curve y (0,1) and (2,4).…

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Q: Prove the 2nd form of the mean value property: if ueC?(2) is harmonic, then u(x)= m(B(x,r)) u(y)dy…

A: As per the question we have to derive the 2nd form of the mean value property(MVP) for a harmonic…

Q: Answer #5 and find the Inverse Laplace Transform of the functions by reduction to partial fractions.…

A: 5. The given Laplace transformation is                              s2+5s-2s+12s-1s-7

Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

A:

Q: 1. Find the areas under the normal curve. A. Right of z = 2.13 B. Left of z = -1.03 C. Right of z =…

A: Right of Z=2.13 P(z>2.13)=? P(z>2.13)=0.0166 from z-table

Q: Find the area of the region bounded by the curves y=x -1 and y=cos(x +1) within the interval (-1,1).…

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Q: s+5 3. 55 – 8s3–6s2+7s+6 (Solve using two methods)

A: We can solve this question using partial fraction and residue theorem

Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

Q: Solve the following initial value problem. у) + у'3D 9х +5е "X; у(0) %3D1, у' (0) %3 0, у'"(0) %3 1…

A: We have to find the desire solution of given differential equations.

Q: Consider the following first-order ODE: dy 4e0.8x – 0.5y, x = [0, 1], y(x = 0) = 2 %3D dx The…

A: Solution

Q: Name and sketch the graph of y² = z in R³.

A: To Sketch: y2=z  in ℝ3.

Q: Let E be the region in R Question 2 A that is under the plane 2y – x – z = 0, and in the xy-plane it…

A:

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Q: Г-1 3 4 2 Show that A = -1 -5 1 and B = -2 -6 -2 are similar matrices by finding an invertible…

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Q: 12. The early Egyptian Ahmes Papyrus (1650 B.C.E.) shows how to use a doubling method to divide 696…

A: To divide the number 4050 by 225 with the doubling method. In this method, first take the divisor…

Q: 2. In a quadrilateral ABCD, ZA = 72° and 2C is the supplementary of ZA. The other two angles are…

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Q: 8 cm 6. A cylindrical candle is sold in a gift box that is a square-based prism. Determine the…

A: To find required volume, we use the following: The volume of the empty space in the box = (volume of…