A family is building a new house on a rectangular lot of land. The lot measures 7x by 11x, and the house will be 2x by 3x. How much land will be left for their yard after the house is built?

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Q: Let S P₂ P₂ be the linear transformation where S(x) = -12x - 30 and S(1) = 5x + 13. 0 Suppose Mg(S)…

A: Let,      B = {x + a, x + b}  Now,        S(x + a) = S(x) + aS(1)                       = -12x - 30…

Q: could you do part f, doesnt have to be detailed

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Q: 9. Consider the vector space V of all C² functions u : [0, L] → R satisfying the boundary conditions…

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Q: Determine the time necessary for P dollars to double when it is invested at interest rate r…

A: Let P be the principal amount Let the total amount A=2P r=2.1%=2.1100=0.021   .

Q: to a subgroup of Sn for n ≥ 3.

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Q: Selve Unta Untl + Um = 3m 2, Flolu, given that U₁ = 3₁ 41=2 using 2-transform. L

A: 1.Shifting property: Z[f(n+k)]=zk[F(z)-f(0)-f(1)z-1-f(2)z-2-....-f(k-1)z-(k-1)]2.Z-1zz-a=an3.…

Q: Question R5 Sketch a graph of y = f(x) that satisfies the following requirements on the interval 0 0…

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Q: Fill in the following table. (Enter vectors in the form ) 4xyi + 8yzj + 4zxk 10xyi + (5x² +10yz)j +…

A: 1)If F=fi+gj+hk then curl F=ijk∂∂x∂∂y∂∂zfgh2)If F=fi+gj+hk then div F=∂f∂x+∂g∂x+∂h∂x3)If curl F=0…

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Q: Find the Laplace transform, F(s) of the F(s) = function f(t) = t(1 - e¯5t), t > 0 s> 5

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Q: Utilization A 30,000-seat college football stadium is used 20 times for games, concerts, and…

A: The utilization equation: U = (Resources used)/(Resources available)

Q: 1. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. Let P = P(A) be the power set of A. Let R be the relation on…

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Q: Exercise (4) ² = 1: Show that the cycloid C defined via C(x, y) = -2r-y y [x(0)=r(0-sin(0))] v(0) =…

A: The cycloid is defined via C(x,y)=x(θ)=r(θ-sinθ)y(θ)=r(1-cosθ),  where  θ  is a parameter. Now we…

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Q: 8. Answer (a)-(c) for f(x) = sin(x/4), −π<x< . Use the Fourier coefficients to obtain an explicit…

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Q: Use the Ratio Test or the Root Test to determine the values of x for which the series converges.…

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Q: Findy Sytil It 3 15 = 3 (mod 17)

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Q: 5. Minimize C = -5x + y subject to z-y ≤-2, 3r+y≤ 3, x, y 20. Using 4, find the minimized one.

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Q: Solve this differential equation: dy dt y(0) = 5 = y(t) = 0.08 (400 - y)

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Q: D find the fourier bransform of the following function 1 ; - 1/2 ≤ t ≤ 1½/2/2 {s; otherwise x (t) =…

A: According to our guidelines we can only answer the first three sub questions. Kindly post the rest…

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Q: 1. (Groups A and D) Let f(x) = |x| for -1 ≤ x ≤ 2. Calculate L(P, f) and U(P, f) for the following…

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Q: 7. For what value(s) of k will the function f(x) = kx² - 4x + k have no zeros?

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Q: Evaluate f (x² + y² +2²) do over the portion of the cone z = S √x² + y²,0 ≤z≤ 4.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Write the system of equations as an augmented matrix -5y7b = -24 -7y -26 6b 00

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Q: 4.) The region under the graph of √4-42² on [0, 1] is revolved about the z-axis. Sketch the…

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Q: 4 $ 9.5 9 8.5 8 7.5 7 6.5 Find the surface area of the portion of the semi cone z = √² + y² that…

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Q: Question 2. The space C[a, b] for any p≥ 1, define the following 1/p || / | = [/* \(-x) dx]¹/ f ||p=…

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Q: K Prehistoric cave paintings were discovered in a cave in France. The paint contained 23% of the…

A: I have explained everything with in the solution. Please go through that.

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Q: 4. Recall the 2-point Gaussian quadrature formula Using the 2-point Gaussian quadrature formula to…

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