13) If it is known that -6 L{e% f(t}} s2 – 14s + 40 with certainty it can be assured that: a) f(t) = -e-lt + e5t b) f(t) = e¬lt – e5t c) f(t) = elt – e-5t

Q: g) cos () lim x cos X COS

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

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A:

Q: 31. | V36 — 9х2 dх

A: Use trigonometric substitution x=2sint.

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A: We have to find out solutions

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A: In right angle triangle  tan thetha = perpendicular/Base

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A: Given,            The figure is shown below :

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + nº+ 1, express a, in terms of n.

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Q: a) ||

A: Given Data: a→=-3, 0, -1b→=1, -3, -5   The value of the vector b→ is, b→=x2+y2+z2 Here, x is x…

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Q: 3 in 5 in

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Q: 5) 7) 8) 100 178 106 106 6. i = 5. a = 7. q = 8. q = j = k = %3D

A:

Q: Suppose that a coach must select 5 players to play on a basketball team. • The coach has 13 players…

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Q: 8)능(x+ 27)-극(x-3) -x*5 -3)%3Dx+5 81 A), B

A: Solving by separation of x we have

Q: 13 in 5 in

A:

Q: 2+13y+ 12

A:

Q: 4.) 5.) 6.) 50 10 4 9.) 8.) 7.) 11 38 47 4. %3D

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Q: iii) | x²cos4x dx

A:

Q: 2.) ff exdxdy

A: We will solve the problem.

Q: Compute: 33

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Q: 18) 45

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Q: d. 39)87 652

A: Long division method Consider the first digit from the left according to the divisor, check the…

Q: 11) 12) 108 105

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Q: 29 33

A:

Q: 22. a. F b. 64 C.

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Q: 4. If (24 – 51)-1 = B 1, determine A.

A:

Q: 2 find the der ivative d.

A: Consider a function is defined as, y=fx·gx The derivative of such a function is determined using…

Q: 10 assume that the number of production defects is 26 and that 12 of these are classified as major…

A: Given data, Number of production defects = 26 Number of major defects = 12 Number of design defects…

Q: 1. Calculate a. (3-7)

A: We have to calculate the sum of given series.

Q: 4. Evaluate de J V20 – 02

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Q: a- et-e =D1 I.

A:

Q: 7) W+2

A: