Solve the system of differential equations 356x + 135y y' = - 936x – 355y x(0) = – 19, y(0) = 50 - æ(t) = y(t) =

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A: Take combination of true and false value of p and q. Use negation function, implies to function and…

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Q: A) Given that x= log, 5 and y=log, 2 log, 60 in terms of x and y. , rewrite

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A: Given differential equation is y' = 5y - 5 , y(0) = 3

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Q: (a) The principal angles used to solve 2 sin(ab) = V3; for 0 <0 < 18A are: = T and 02 = 27. (i) Find…

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Q: E Z which makes the following

A: a=7

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Q: Solve the following integro-differential equation Sy + Só(t – v)y(v)dv = t ly(0) = 0.

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Q: Find the volume V generated by rotated the

A: 32.  Given the curve                           f(x)=3xln3  over 1, 3

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A: (a) The given alternating series can be represented as follows:

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Q: Select all of the following that are equivalent to >(2) +> (3k + 1)? k=0 k=0 п+1 A. O) (3k + 3) k=0…

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Q: Find bases for, and the dimensions of, the row, column, and null spaces of the following matrix:

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A: Given that f'(x) is a cubic polynomial.

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A: Given that rt=9+2ti+4+2tj+6−3tk, −1≤t≤0

Q: HL solve by Picard nthod (up to third appratination) +yz yco)=o ased te sed Fined yco-l)?

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Q: sin(r) – r? (c) Find a power series for and write down the first three non-zero terms explicitly.

A: Introduction: A power series is nothing but an infinite series that contains a variable. A power…

Q: Secondary Topic 1. Let g(r) = 2" + 3". Find (g-1)'(5).

A: y=2ˣ+3ˣ y'=2ˣ ln(2)+3ˣ ln(3) (g⁻¹)'(x)=1/[2ˣ ln(2)+3ˣ ln(3)] (g⁻¹)'(5)=1/[2⁵ ln(2)+3⁵ ln(3)]…

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Q: (a) Define i. A finite field extension. ii. An algebraic element of a field extension. iii.…

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Q: 17. Use six rectangle to find estimates for the area under the given graph of f(r) from r = 0 to r =…

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Q: test convergnce and div egence

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Q: Evaluate the Riemann sum for g(x) = 5 sin x on [0, π] by taking sample points to be right endpoints…

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Q: ) Find the general solution (4x + 2y +3)dx + (6x + 3y- 2)=

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Q: (b) Find a power series for (8+ r)2/3 and write down the first four non-zero terms explicitly.

A: Use the Maclaurin series to expand the function.

Q: Solve the IVP: X' = AX, where --() 3 1 0 2 -1 0 0 A = 3 and X(0) = -1 2

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Q: gm The velocity v of a falling parachute is given by: v = " (1 – e-m) Where.g = 9.8 m/s? a. For a…

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A: Gauss divergence theorem is used

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Q: Let A and B be independent events with P(A) = and P(B) = Find P(A N B) and P(A U B). 3 8 P(AN B) =O

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Q: 5. Two buses leave the Amarillo station at the same time. The Albuquerque bus heads west on I-40 at…

A: Given- Two buses leave the Amarillo station at the same time. The Albuquerque bus heads west on I-40…