Decide which of the two given functions is linear and find its equation. ‹ 0 1 2 3 4 f(x) 912 15 18 21 g(x) 11 12 17 16 21 ✓ ---Select--- f(x) g(x) X

Q: 7. ди du = 2, 0 0 Ət u(0, t) = u(36, t) = 0, t> 0 2x 362x u(x, 0) Find the solution of the heat…

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e²-1 X…

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Q: O Let A = [a] (i) aij ≥ 0, Mnxn with the following properties. (ii) a₁ + a2 +...+ain = 1 for 1 ≤i,…

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Q: Singular

A: We find AT, the we find  ATA and eigenvalues for ATA and corresponding eigenvectores.

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Q: 5. Solve the initial value problem. Express your solution as a single vector. 6 = (-³3 3) x, x(0) =…

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Q: For Gauss Elimination, Doolittle and Crout's Method: Correlate the final solutions (X₁, X2, X3). 3x₁…

A: given system of equation 3x1-0.1x2-0.2x3=7.850.1x1+7x2-0.3x3=-19.30.3x1-0.2x2+10x3=71.4 using gauss…

Q: In a high school class, there are students of different talents (ex. music, art, debate, sports,…

A: 1. Consider the information provided in the problem, The vertices of the graph is the total number…

Q: Answer true or false. If L{f(t)} = F(s) and Lig(t)} = G(s), then ¹{F(s)G(s)} = f(t)g(t). True O…

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Q: Find the Wronskian of the given pair of functions: O x² et O et O xet X O² x, xet

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Q: 5. For example, fuzzy sets A and B are defined by the function : for 2 ≤x≤ 10 A(x) = 1-(|x-61/4) 0…

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Q: The lower triangular matrix L in the [L][U] decomposition of the matrix given [25 5 4 1 0 0111 U12…

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Q: Solve the given system of linear equations. (If there is no solution, enter NO SOLUTION. If the…

A: Given system of linear equations as x-y+z=8, 7x+y-z=32, x-12y+13z=5, x+y+z=20   To Solve: The above…

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Q: Suppose p(x) and g(x) are the functions whose values are given by the following tables. X 0 1 2 23 4…

A: Table is given. We find (p°q)(3)

Q: 6. (True/False) Let C be a closed curve. Then for a continuous function f, we have fof ds = 0.

A: (6) let C be a closed curve . then for a continuous function f we have ∫Cf ds=0 claim- whether the…

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Q: Evaluate ∫ ▽f*dr Where f(x,y,z)=cos(πx)+sin(πy)-xyz and C is any path that starts at (1,1/2,2) and…

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Q: Evaluate ** Vx2 + y2 dydr. .

A: We can find the value of the integral by converting it to polar coordinates using the following…

Q: Let T be a linear transformation from R2 into R² such that 7(1, 0) = (1, 1) and 7(0, 1) = (-1, 1).…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (4t - 1)3 L{f(t)}:…

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Answer true or false. If f is not piecewise continuous on [0, ∞>), then {f(t)} will not exist. O…

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Q: 6. (a) Use elementary Maclaurin series to find the Maclaurin series for the function f(z = In 1+x…

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Q: Calculate the exact slope m (rather than a decimal approximation) of the straight line through the…

A: We know slope of the straight line passing through the  given pair of points  (x1, y1) and (x2, y2)…

Q: Consider the following initial-value problem. y' y = 2 cos(4t), y(0) = 0 Find L{f(t)} for f(t) = 2…

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Q: II. Given the polar curves 62 r = 1 + sin and C3 r = 3 sin 0. : Set up the integral or sum of…

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Q: Use the Laplace transform to solve the given initial-value problem. y(t) = = y"" + 2y" - y' - 2y =…

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Q: J f ds if Evaluate Of(x, y, z)=x+y, and C is the combinations of lines connecting adjacently the…

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Q: Calculate the present value PV of an investment that will be worth $1,000 at the stated interest…

A: Let the present value be P Given: time, t=12 yearsrate=2%=0.02Amount after t years=A=1000 The…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}:

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Q: Let u₁, U2, U3, U4, U5 E R and define ū = U1 ՂԱԶ U3 ՂԱՃ U5 and = 2u1 +3 2u2 +3 2u3 +3 2u4 +3 2u5 +3…

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Q: Let A = {Becca, Darius, Julian, Larry, Solly, Bess), B = {Larry, Solly, Darius}, and C= {Mellie,…

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Q: Answer true or false. F(s) = s²/(s² + 4) is not the Laplace transform of a function that is…

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Q: 3. Using the traces obtained in IV.1., provide a hand-drawn sketch of 3. Label all important points…

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Q: Find w such that 2u + v u 3w = 0. (0, 2, 7, 5), v = (-8, 4, -3, 1) 1 -- (-) W = 3 -

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Q: Name the quadric surface: 2x-y²-z²=0 O Ellipsoid O Hyperboloid of one sheet фоалт 340095 t f quant

A: given quadratic equation 2x-y2-z2=0 claim- name the quadratic equation

Q: Use an appropriate series in (2) in Section 6.1 to find the Maclaurin series of the given function.…

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Q: Sketch the space curve. Vector-Valued Function r(t) = -ti + 2tj + 3tk O 5 5 5 k k 2 -2 5 Z 2…

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Q: S {26-12} (5 - 3)(s - 4)(5 – 12)

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Q: solve for w,x,y,z using Gaussian elimination

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given the function 4s-8s2+ss2+1 make the partial fraction as follows 4s-8s2+ss2+1=4s-8ss+1s2+1…

Q: 12. The trigonometric identities applicable to evaluate [sin'0 cose de 1. cos² 0 = (1+ cos20) III.…

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