Show all necessary solutions. I. Solve the systems. 4 2 2 b. y 3 4 3 :-7 %3| y 4 2 - y z 3 || NI N II NI N + +

Q: f(x) = Jsinx 02x>N T >x22n

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Q: 10. a) Recursively define ao = 1, a; = 3, a2= 5 and an = 3an2 + 20ars for n2 3. Çalculate.gafor n = ...

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Q: 1 find the length of the curve x = 7y* + y2, from y = 1 to 24 y = 2.

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Q: The linear transformation T: R Rm is defined by T(v) = Av, where A is as follows. 0 1 -6 1 A = -1 4 ...

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Q: E Question 3 Suppose two dice are rolled. What is the probability that the sum of the dice is less t...

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Q: |1 3 1 1 1 1 3 1 Find the determinant 1 1 1 3 3 1 1 1

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Q: Prove that the set S of all matrices in M22 that have zeroes in exactly 2 entries spans M22. (Hint: ...

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Q: Given the function Y(s) - (s - 1) Use the Laplace Transform table to convert this function into fit)...

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Q: 3. Vectors u and V are as shown, forming an angle of 30°. Describe the vector u x. = 5 units, and v ...

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Q: 6. Let f: A R be a continuous function. Show that if A is compact then sup f(A) e f(A).

A: Sup(A) under the continuous function

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Q: 34. dyldx = 2(3x + y)² – 1; when x = 0, y = 1 Answer: y = tan (2x + a/4) – 3x

A: As per our company guidelines we are supposed to answer only the first question. Kindly re post the ...

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Q: Ursula polled her classmates to see what their favorite kinds of juice were. Eight times as many stu...

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Q: Solve the IVP y′′ + 2y′ + 5y = 8e^(−t), y(0) = 0, y′(0) = 8

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Q: 19. If A = 40cj120". B = 20Z140°, C = 5 + 2i, solve for A + 2B + C in rectangular form. %3D %3D

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Q: Find the value of x that intersect to the given equation.. 2x1 + 5x2 = 16 3x1 + x2 = 11 %3D

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A: We Know, v(t) = dxdt ,a(t) = dvdt   Given that, v(t) = t1.4-1cos3t     and x = -3 when t= 3To find x...

Q: Write in the form a + bi the expression i3217 – i427 + il8 |

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Q: Fourier Series: f(x)= -x^2 + 5 , [-2,2]

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Q: (ABI6 · Di6)- (11001,– 101,)+ (7g · C16) = N0 -10)-(– -10) =. -10×, -10--10) + -10

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Q: Hw.y If the directionel derivative Valne ( Due f) of the function fx,4)= x-3xy +uy at Paint (-2,0) î...

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Q: In how many ways can twenty 1000-peso bills be given away to four of ten people where each of the fo...

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Q: 4. Find all the distinct values of (1 – i)5/4, then plot the results on an Argand diagram. |

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Q: Use the annihilator method to find a general solution of y" + 4y/ + 4y = 10z³e 2=

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A: The complete solution is in given below

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Q: Solve for Fourier coefficient, f (x) = sin x 02x27 T >x22n

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Q: Q4. Given the data points 3 ソーf(x) 7 11 28 Use Lagrange's Method to determine y at x-1, also find x ...

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Q: 3. Find the solution of the nonhomogeneous differential equation initial value prob- lem dy dy – 102...

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Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 1 an sin 6...

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Q: Use the Laplace transform to find the solution of the ODE y" + 4y = f(t), y(0) = 0, /(0) = 0, ere if...

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Q: dx dx a) ["te*dt b) " - dx. х? —1 c) L dx 1+x? Jo 9-x? (x-2)% 3(4)5/3

A: We have to check given improper integral is convergent or divergent.

Q: |a 16. If A = |1 | and B = Is , then A? = B if a =?

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Q: Solve for Fourier coefficient, {6" ax 02x2n T >x 22n sin x f (x) =

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Q: 3. у %3D С1 е2х sin3x cos3x + c2 e²x

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