You are making a circle out of stainless steel sheet metal. The circle is 50.24 feet around. The sheet metal weights 0.756 pounds per sq foot. How much does the circle weigh?

Q: 2. Let A be a square matrix with real or complex entries. Show that if A is normal and upper…

A: Definition of normal matrix:

Q: 2. Which of the following matrices is in reduced row-echelon form? A 1100 0011 0001 B 1100 0000 001…

A: A matrix is said to be in reduced row-echelon form iff it is in row-echelon form and all the pivot…

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Q: Use the following function to find f(9) and f(0). f(x) = 4x - 3 f(9) = f(0) =

A: To find f(9) and f(0) , we need to replace x by 9 and 0 in given function.

Q: ) Recall that the simple random walk is just a Markov chain on the integers where we move from j to…

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Q: Find a QR factorization of the matrix A. 10-15] A = -5 45 0-15 * Please Show All Your Steps

A: The given problem is to find the QR factorization of the given matrix A. Given matrix A = [ 10 -15 ;…

Q: 3. Let arctan(2)dx. -S² x (a) Find the Taylor polynomial of order 2, P₂(x), about x = 0 for the…

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Q: For any a > 0, evaluate the integral ∞ fo 0 1 - cos(ax) x² dx.

A: We use differentiation under integral sign to solve this problem.

Q: (a) (b) Consider the integral A Describe the region of integration. (What shape is it?) Evaluate the…

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Q: Let w=4x-1 and y=-10x+8. For each expression, write an equivalent expression in standard form. a w+y…

A: We have to write an equivalent expression in standard form.

Q: 20-R] [CLO 22] Let q be the polynomial function given by the formula q(x) = 3x5 − 6x3 + x2 − 6.…

A: To apply the rational root test to the polynomial q(x) = 3x^5 − 6x^3 + x^2 − 6, we need to consider…

Q: Define an even periodic extension of f(t)=1+3t, 0<t<3 and hence find its half-range cosine series…

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Q: 8. (a) Determine the least degree of the polynomial function given by the following graph. (b) Find…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Shub a)Use a Taylor…

A: (a) Taking f(x)=e-x.        Required value for x=0.5 (b) Taking f(x)=ln(1+x).  Required value for…

Q: 1. Determine the following integrals/ Bepaal die volgende integrale 3r - 1 c) √₁ (37² - 2x + 1)4 -1…

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Q: Find a parameterized curve in space, r(t), for which r(t) = 3 for all t and r'(t)| 0 for all t.

A: Find a parametrized curve in space r(t) , for which |r(t)|=3 for all t and |r’(t)| != 0 for all t.

Q: c. Limt S F(S) S 0 2 S (S²-3S+40)

A: Function means that the special type of relationship between the input values and the output values…

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Q: Solve the differential equation dy dx = 6y, and find the particular solution satisfying the initial…

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A: To find: The volume of drivers paying the optimum toll,  Given Data:

Q: 1. GIVEN: y" - 4y = 4x - 3e* a. USE METHOD OF REDUCTION OF ORDER Note: rewrite the given de into D…

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Q: 7. Bonus: Use the change of independent variable r = t² to solve 2ry"+y' + 8y = 0.

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Q: Find a general solution to the second order differential equation using variation of parameters: y"…

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Q: The total revenue function for a product is given by R = 540x dollars, and the total cost function…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: 1.Define percentile. 2.When finding the percentage of data in a given section of the normal…

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Q: -"-12y = -72; x > 0 = -2, y'(1) = 4, y''(1) = -54; 3x²; {1, x, x6} X a general solution to the…

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Q: (2) x (x+3)y"+2y'+y=0 solve for yox)

A: To solve the differential equation: x(x+3)y''+2y'+y=0 We can start by assuming a solution of the…

Q: A unit vector is perpendicular to and . Fill in the missing entries for = -0.40824829051 + Ĵ+ k.

A: The answer is given to question containg all subparts.

Q: K Determine if the following vectors are orthogonal. u= 13 2 -7 0 V= 4 19 -2 3 Are the two vectors…

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Q: 4. Solve the IVP, IC U₁ - Uxx = sin(3x)-7 sin(4x), 0<x<1t€ R¹, with the BC u(x, 0) = u₁(x, 0) 5 = 0…

A: From the given information:

Q: 2. Suppose that W is the population size of Yellowstone wolves and E is the population size elk in…

A: Equations :dEdt=0.3 E-0.4 W EdWdt=-0.2 W+0.1 W Ewhere W is the population size of Yellowstone wolves…

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x) = 3x² -…

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Q: 6. Find the MacLaurin series for x² sin(2x³). Express your answer in Σ notation. MacLauren Series is…

A: The given problem is to find the Maclaurin series of the given function. Given function, x2sin(2x3).

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Q: y=4x+32, find region with pointy that satisfies both inequalities

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Q: Prove the following functions are valid kernels, or disprove it, z. y R¹. 1. k(x, y) = (x + 2)² 2.…

A: The given data is the functions themselves: k(x,y)=(x·y+2)2 k(x,y)=(x·y-1)3

Q: 1. Which of the following is a subspace of R AW₁ = {(x, y, z) € R³ | x+y+z>0} BW₂ = {(x, y, z) € R³…

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Q: a) (A) = AU b) (An B)⁰ = Aºn Bº c) A° U B°C (AUB)⁰

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Q: Set A = { 2, 2, 4, 5,1,2,6,9, 4, 5, 6, 2 } ]. How many elements are in this set? O O 8 12 6 O 11

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Q: a) For which p-values is the following series convergent? 1 n(2p+5) n=1 b) Find the radius and…

A: a) The given series ∑n=1∞1n(2p+5). We have to find the values of p for which the series convergent.…

Q: Let a > 0 be a (fixed) real number. (a) Using lower and upper Riemann sums for S xdx, prove that for…

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