Ellen is looking to purchase a car.  She determines that she can afford a monthly payment of $325.  She's found a 15 year loan at 7% interest.  How expensive of a car can Marie afford (to the nearest dollar)

Q: Let x ∈ R ^n and r > 0. Is the set B(x, r) = {y ∈ R^ n : ||y − x|| ≤ r} a closed set in R ^n? Y/N

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Q: Find the centroid of the region bounded by y² = NOTE: Enter the exact answers. 16x and y² = 32(x −…

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Q: 3. Let & be the surface with equation 2² 3- (y - 4√/2)² 4² - 1. 3² (a) Give equations of the traces…

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Q: Let H ={[1 a]    : a in Z}             {[0 1]  Define a map φ : Z → H by  φ(n) = [1 n] for all n in…

A: Given that H = 1a01 : a ∈ ℤ . Given a map φ : ℤ → H defined by φn = 1n01 for all n in ℤ . We need to…

Q: | 50 9

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Q: Hib/ solve by picard nothod (up to third approximation) ly = x + y² y (0)=0 Find y (0-1)! aus // 1₂…

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Q: 5. Determine whether these biconditionals are true or false. a.) 1 + 1 = 3 if and only if monkeys…

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Q: 6. Write each of the propositions in the form "p if and only if q": a.) For you to get a passing…

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Q: 1. Three blocks are connected by a weightless cord and rest on an inclined plane. Using Newton's…

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Q: 2.f(t) = cosh wt sin wt

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Q: d d Calculate[r₁(t) r₂(t)] and [r1(t) × r₂(t)] first by differentiating dt dt the product directly…

A: give r1(t)=9ti+2t2j+6t3k and r2(t)=t4k So  r'1(t) =9i+4tj+18t2k and r'2(t)=4t3k

Q: Calculate GCD(98,42).

A: We want to calculate GCD(98,42)

Q: HW12_1 Solve the following initial value problem to find y(2). dy = yt² - 1.1y, dt using midpoint…

A: given IVP  dy/dx = yx2 - 1.1y , y(0) =1 and h = 0.5  Midpoint method :-   y(2) = 1.36427

Q: Let h: RR be integrable on every bounded interval and h(x + y)=h(x) +h(y) for any r, y ER Show that…

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Q: fr (3x - y) dA, where R is the region in the first quadrant enclosed by the circle x² + y² Evaluate…

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Q: The tip of a one arm robot is located at P(-6.1.-3.5) in. Find the length of the arm and the angle…

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Q: 2. - 4x₁ + 2x₂ = -6 3x₁ - 5x₂ = 1

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Q: Compute the product of C(90°)B(180°)A(−90°) using the points A(6,2), B(1, 2) and C(6,-3). What are…

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Q: 10. Let (G, *) be a group, and let H≤ G. Define N(H) = {x € G: x¹ *H* x = H} [Normalizer of H in G].…

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Q: 3. Find the laplace transforms of f(t) = ¹e²t sin(2t) 2t 4

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Q: 16. Use the Divergence Theorem to find the outward flux across the boundary of the region D where F…

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Q: Select the prime numbers. 71 1 61 4528

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Q: 7. How many non-negative integer solutions are there to the equation X1 + X2 + X3 + 4 = 16 such that…

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Q: SOLVE FOR THE LAPLACE TRANSFORM OF THE GIVEN EQUATION. Jell 2. f(t) = cosh wt sin wt

A: The function cosh(ωt) can be rewritten as eωt+e-ωt2. Thus, ft=cosh(ωt)sin(ωt) can be rewritten as…

Q: Higher Order Differential Equation Solve the differential equation: (D^2 - 1)y = (2)/(1+e^x)

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Q: Find the determinant 4     -1     2      3 2      0      2      1 10     3      0      1 14…

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Q: EVALUATE § 7. d² USING STOKE'S THEOREM 3xz^ + ex² ₁ + 2xy^ с F(x, y, z) = 3XZ1 te C IS THE CIRCLE…

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Q: Solve the differential equation: d³y_d²y_dy + y = 0 dx3 dx² dx

A: Let us considre the differential equation L[D]=0 To solve the given differential equation  The…

Q: 1. Four friends (including Adam) were at the company picnic. Each friend had a different drink (one…

A: Four friends (including Adam) were at the company picnic. Each friend had a different drink (one was…

Q: Find the root of the following using the method indicated. |a| < 0.0001 1. f(x) = sin x + e -2, xo =…

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Q: A call center agent receiving a monthly salary of P21,000 with mandatory annual deductions of…

A: Annual gross income is the total amount that an employee receives from a company in one years after…

Q: 3. Let f(x)=x² + 3 and g(x)=x³-1. Use the standard inner product on C[0, 1] to compute the…

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Q: 5. Solve the following problem using a Venn diagram: Consider the following data among 110 students…

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Q: Problem Solving A. The nutritionist of CMU Hospital serves lunch consisting of two courses, A and B.…

A: Given that,The nutritionist of CMU hospital serves lunch consisting of two courses, A and B. Each…

Q: Compute ||w| using w= ||w|| || = 7 5 -4 (Type an exact answer, using radicals as needed.) LO

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Q: Let A = PDP-1 and P and D as shown below. Compute A4. 1 1 - 2 0 P= D= 2 - 2 5 01

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Q: (c) Consider the linear map : T:C[0,1] → C[0,1] given by Tf (t) = f(s) ds. Show that T is bounded.…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² − 8)i + tj; t = 8 - T(8)= N(8) = =

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Q: 9. Angela has finished reading 38 pages of her favorite book which has a total of 124 pages. Express…

A: # As per the guidelines we are entitled to solve one question at a time , please resubmit the other…

Q: f(x) = e²x cos(x)

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Q: What is the answer if A= 4    5   0  and B= 1   0    0   are multiplied by each other?…

A: Properties of multiplication of matrix  Matrix multiplication exist of the number of column of…

Q: Series solution of variable-coefficient ODE Consider the variable coefficient linear second order…

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Q: Find the general solution to the differential equation using undetermined coefficients. y" + 5y =…

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Q: 3. 2x₁ - x₂ 2 X x, - 3x2 + X3 = -2 -X, + X2 - 3x3 = -6 ||

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Q: Suppose f(2) = If f(z)| ≤ 3|2ln(|z| anz is entire. + 1) for all z, prove that f is a polynomial.

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Q: Verify the formula F.T ds = [[(curl F). ndS in Stoke's Theorem C by evaluating the line integral and…

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Q: (a) Show that (Coo || • ||…) is not complete.

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Q: 02 21 -1 22 will be eigenvalı

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Q: For a sum of ₱8000.00 to double itself in 12 years and 9 months, what must be the rate of interest…

A: Let us considre the principal amount P  The amount obtained after t years and rate of interest r…

Q: The water-supply manager for Kansas City needs to supply the city with at least 19 million gallons…

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