11 If P(x) 2x* + 6x3 + kx² – 45, find k for which P(-3) = 9.

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A: Given equations are 2x + 5y = 21 x + 2y = 8 Here A = 2512, X = xy , B = 218

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A: Write the equations in matrix form as follows -405-335-122x1x2x3=-33-1 (A) Find the inverse as…

Q: 2. fct) = 3e +t C1-3t + 2t 2) -4t (1-3t + 2t2)

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Q: 32 Find the z values for each of the following x values for a normal distribution with mean = 16 and…

A: Give in question  Mean  = 16 Standard deviation =sd =3

Q: Problem: 3 a. Find the domain of (fo g)(x) if f(x) = and g(x) 3x-1 %3D x+4 %3D 5x-2 ズー1

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question…

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Q: Derive the conclusion using Rules of Inference. 3æ N(x) Væ (N(x) → I(x)) :. Bx I(æ) 1. Statement…

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: Here we use basic integral formula of shell method to find the volume.

Q: I = 10+ 2s I - 1 y +3 12 – z Consider the lines defined by the equations &1 : and l2 : y = 5s 7 z =…

A: Given the lines defined by the equations l1 : x - 15 = -y + 37 = 12 - z9 and l2 : x = 10 + 2sy = 5sz…

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Q: Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

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Q: solve c) Evaluate the distance between the parallel planes - 2x + y + z = 0.6x - 3y - 3z + 6 =

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Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, ū2 of the symmetric matrix A = The…

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Q: 5. Consider the system of first-order PDES –1 ut + Auz = 0, A = 3 x > 0, t>0 1 (a) Show that the…

A: Given: The system of first order PDEs, ut+Aux=0, where A=5-131, x&gt;0, t&gt;0. Initial conditions:…

Q: Approximate the following functions using Taylor series. Solve the absolute and relative error in…

A: To find the Taylor's polynomial of a function f(x) at x=a and the error, use the following formulae.…

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A: Given :  The bases B = {(1, 0) , (0, 1)}  and  B' = {(2, 1), (-3, 4)} for ℝ2. To find : We have to…

Q: Give an example of a mathematical proposition that is true based on a model. Briefly explain why it…

A: To give an example of a mathematical proposition that is true based on a model.

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Q: n+1 S-1)**1 2" By the series test: n=1 n°

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Q: 4. TRUE or FALSE. For all p> 1 and for all r e R", ||c||,< ||r||- (a) True (b) False (c) (d)

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Q: 10. Let {xn} be a sequence of real numbers. What does the limsup of this sequence mean?

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Q: 50- 40 30- 20- 10- -10 10 20 30 Rosa is a lifeguard and spots a drowning child 30 meters along the…

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Q: OA. C1 J(5/9) (x) + c2J_(5/9) (x) B. Cį J(5/9) (x) + c2 Y(5/9) (x) OC. c J9/5) (x) + c2J_(9/5)(x) D.…

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

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Q: The matrix A = -3 -2 -7| has an eigenvalue ) = -4. 1 3 ind an eigenvector for this eigenvalue. ry to…

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Q: 4. Locate the centroid (x, y)of the following composite areas: -3 ft 3 ft I 1.5 ft 1 ft

A: Consider the given composite area and divide then into four areas as shown in diagram below,

Q: . Let 7 = {rn}~ be a sequence of real numbers. Prove that the limitpoint set of T is a closed set.

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Q: 3. Let F(n) = 9F(n − 1) − 24F(n − 2) + 20F(n − 3) with initial conditions F(0) = 1, F(1) = 5 and…

A: To solve this problem first we find the generating / characteristic function and the find roots of…

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Q: 4. Construct a slope field for the differential equation dy (t + 1)(y – 1) dt %3D for -2 <t < 2 and…

A: We need to identify the slope field of a differential equation and hence draw the solution. The…

Q: envector for this eigenvalue. e the following problem WITHOUT computing all eigenvalues. -4 -6 -2 B:…

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Q: If a committee of 8 members is to be formed from 8 sophomores and 5 freshmen such that there must be…

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Q: Question 5 Write down the quadratic form corresponding to the matrix. [1 2 -31 A =0 3 lo o -21 2

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Q: Let A = {1,2, 3, 6}. Define a relation R on A as follows: x Ry if y – x > 0 Write out the relation R…

A: We have to find the relation and write as set notation.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: You purchased a car on January 1, 2022 with a 10,000 dollar loan. Your loan carries an interest rate…

A: Given the principal amount is P=10,000 dollars Rate of interest is r=6%=0.06 Rate per month will be…

Q: How many strings of six lowercase letters from the En- glish alphabet contain a) the letter a? b)…

A: Total alphabet in English =26 Total number of strings of six lowercase letters from the English…

Q: ind the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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