Theorem 3.1. Let V be an inner-product space and vectors x, y e V, then |(x, y)|< || x || | - Strict inequality holds unless one of x, y is a multiple of the other

Q: 3. Determine whether X1 W E R? : x² + x2 = | X2 is a subspace of R².

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Q: 9. Selena and Dustin have a pre-approved mortgage for $249 000. The current annual interest rate for…

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A: We have to find the arc length of y=e^x over[0,1]

Q: а. у" — бу' — 16у %3D0 - b. y"- 10y' +29y = 0 %3D | с. у" + 10у' + 25у %3D0

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: b) Use the Ratio Test to determine if the series converges or diverges. n5" Z (2n + 3)ln (n + 1) n=1

A: Given series is ∑n=1∞n5n2n+3lnn+1

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Q: For all u and v in R" with u + 0, show that u is orthogonal to v – u•v

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Q: Prove each of the following by mathematical induction Ž:(2') = 2 + (n – 1)2t A) i=1 B) 2* 2 1+ k C)…

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Q: Using Wilson's Theorm, Fermat's Little Theorm and The Pollard Factorization Metod how could I solve…

A: We have to find the remainder when 7·8·9·15·16·17·23·24·25·43 divided by 11.

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Q: Consider the following. (x, y) = x/y, P(8, 1), u (a) Find the gradient of f. V(x, y) = (b) Evaluate…

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Q: Find the center and the radius of convergence of the power series (z – 2j)" n=0 Show the details of…

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Q: Find the following: A1X B-1. 3 4 B = -2 71 A = -5 3 -8 -5 -0.14 -0.37 A-1 x B-1 -0.48 -0.15 -0.14…

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Q: 1-Cosx The value of limx→0 by using series is 1+x-e*

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Q: Suppose a baseball team has 9 players. How many possible batting orders of those players can be…

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Q: Find inverse z transform (2z+ 1)(z – 1)

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Q: Illustrate: Translate the triangle ABC whose vertices are A(5,9), B(1, 6), and C(4, 4) 6 units to…

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Q: Fill in the blanks: 10C , + 11C5 Sum of numbers in row 15 of Pascal's Triangle is Which row in…

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Q: he lQ scores of a large group of students are approximately normally distributed. What is the…

A: Given Normal Distribution

Q: In standard normal distribution, what is the area between z = 0 and z = – 2.13 under the normal…

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Q: a + bx? dx 3ax + bx

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Q: Determine whether each improper integral below converges or diverges. -3x 1. S xe dx хе 1

A: We use definition of convergence of improper integral.

Q: 10 2) z = (-j)(-

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Q: Which of the following sets of vectors are linearly independent? (Check the boxes for linearly…

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Q: Find all solutions of the system of equations. (If there is no solution, enter NO SOLUTION. Order…

A: Given that 4/x^4 +24/y^4 =7/2 1/x^4 - 8/y^4 =0 We have to find solutions of the system of equation.

Q: Find a linearly independent set of vectors that spans the same subspace of R' as that spanned by the…

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Q: The graph of a rational function is shown below. Write the equation that represents this function.

A: Introduction: A function defined in the form of fx=PxQx, Qx≠0 is referred to as a rational function.…

Q: Added Problem 2: Suppose that over a 50-day period a person runs at least one mile a day, and runs a…

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Q: Why does this table represent all possible sums and products under addition and multipli- cation…

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Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…

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Q: Large black-tailed gulls usually lay one to three eggs and rarely have a fourth egg clutch. It is…

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Q: Suppose that f :R -R is differentiable at z = 0. (a) Prove that (t) lim,o E = f'(0) (b) Give an…

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Q: Determine the explicit formula for the nth term of the sequence written below. Note that the first…

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Q: Compute an approximation of y(4), the solution in t = 4 of the following ordinary differential…

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Q: Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p…

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Q: Find the determinant of the matrix [3 0 0 3 3 M = 2 -1 -1 | 0 -2 1 (M) =

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Q: roe-t sin(v3t) (i) * sin(V3t) dt]

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Q: (25 - 32%5 ' ) a वं x

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Q: z = sin(e³) + sinh(5230°)

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Q: Let be S = { (x, y, z) | x2 + y2 + z2 = 1, z ≥ 0, y ≥ 0 } oriented with the normal whose second…

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A: Given angle and side of the triangle are ∠C=22.8oc=38.4 kmb=38.4 km

Q: f (x, y) = 3x2 + y + 4xy? + 8 af(1.y) What is the value of when x = 3 and y = 3? %3D dr

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Q: 5- write the following expression in terms of logs of x,y and z. Y= log 4vx³ y/z*

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Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

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