A child pulls a wagon with a force of 31 pounds. The handle of the wagon makes an angle of 30° with the ground. Express the force vector F in terms of i and j

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Q: 3. y> -x² + 2x; (1, 2) y+x≤-1

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A: We have to calculated the max absolute eigenvalue and its eigenvector by power method of matrix.

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A: Solution: f(x)=2x4+x2-x+1g(x)=2x-1 To find the quotient and remainder we use long division method.

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A: Let's find possible function.

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Q: 6. Find the least squares regression quadratic polynomial for the data points: (0,0), (2, 2), (3,6),…

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Q: Compute the quantity using the vectors u = (UV) -18 V= (Simplify your answers.) -5 2 and v = 3 8

A: Given vectorsu=-52 and v=38   We are required to findu.vv.vv

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A: Brienne stated that 0.33 and  1/3  are equivalent.

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Q: 32. Find two integers whose differen 33. Find the base and height of the triangle if its area is 84…

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Q: Given that f(x) = x² - 5x and g(x) = x + 2, calculate (a) fog(-4)= (b) go f(-4)= (c) fo f(-4)= (d)…

A: To find the value of the composite function

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Q: each eigenspace. A = 2 2 1 1 31 122 1 = 1 2 2 0 - 1 1 -2 0 500 010 001 1 1 - 00 8 -|+ 1 1 4 1 4 1 1…

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Q: Let A and B be independent events with P(A) = 0.4 and P(B) = 0.5. Then P(AUB) is A P(A/B) is A/

A: Given P( A ) = 0.4 P( B ) = 0.5 P( A∪ B ) = ?P( A|B ) = ?

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A: Recall that area of a circle with radius r is πr2.

Q: Sung Lee invests $3,000 at age 18. He hopes the investment will be worth $6,000 when he turns 25. If…

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Q: Use the graphed system of inequalities to answer a-c. a. Write the system of inequalities…

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Q: 10 ¹0 f(x)dx is exaclty Select one: O a. 5 ¹₁ ƒ(5x + 5)dx O b. ¹₁ f(2.5x+7.5)dx O c. 2.5 ¹₁ f(2.5x +…

A: The given integral is: ∫510 f(x) dx

Q: H Use induction to prove that 12 +3² +52 +...+(2n + 1)² = (n+1) (2n+1) (2n+3)/3 whenever n is a…

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Q: =x²³x²+x your answer to 2 decimal places. * Find the mean value of y = Over the range - 1<x<1, and…

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Q: Steven does yard work for his neighbors. He earns $10 for every lawn that he mows plus $3.50 for…

A: Please see the below picture for detailed solution.

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

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Q: Consider the system of equations: 2x + 3y = 1 |3x + 5y = 2 (a) Write the system of equations in the…

A: Given Data : We have given system of equations, 2x+3y=13x+5y=2   Part a : Now consider the matrix…

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A: INTRODUCTION:  The logarithm is the inverse characteristic to exponentiation. That way the logarithm…

Q: Find the matrix A' for T relative to the basis B'. T: R² A' = → R², T(x, y) = (-3x + y, 3x - y), B'…

A: The linear transformation T:R2→R2, Tx, y=-3x+y, 3x-y. We have to find the matrix A' for T relative…

Q: A total of $22,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If…

A: We will find the required.