9) In the process of calculating L{3t} using the definition of the Laplace transform, we obtain the limit: a) lim be-sb -sb 1 + 82 b00 82 b) lim 3be-sb 3e-sb 82 s2 be-sb c) lim b→00 1 82 82

Q: 27) V135m? = 29) V-81m = 3 A-81m'

A:

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…

Q: 7) V ?. 110⁰ T U

A:

Q: Find m PSR

A: Given,            The figure is shown below :

Q: 12) 13) 14) 3.3 4.2 20 10 157 2, 6.1 V

A: 12) In the given figure, there are two chords in the circle which intersects at one point. Now, the…

Q: 11) v-2v-65 = 8 .

A: Please refer to the image below

Q: b) 7- 3(2х — 4) — 10

A: First we simplfy the bracket and then solve it for the value of x.

Q: Compute P5,2.

A: To compute P5,2

Q: 16) V384x*y 18) 6V72x

A:

Q: 253 Ux_ dx

A: Use substitution method to solve the integral

Q: 10) lim

A:

Q: Find the dimension for P4

A:

Q: 9) 10) 11) 45 109 136 93 61 65 9. s = 10. t = 11. r = WARON edu

A: We have to find angle

Q: a) Lin 5) x2+2y2

A:

Q: 424-454

A:

Q: 17. Using one of the methods from class, determine the GCF and the LCM of 72 and 120.

A: GCF stands for greatest common factor and LCM stands for least common multiple. GCF of two numbers…

Q: = 6 3) 12. Find e4 if A =

A:

Q: 4 24) 4 27) + 8 = %3= 15 2|7

A: As the first question is already solved correctly we can solve the other two question as below.

Q: Show that V.( A) = V̟A + ¢(V.A)

A:

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: ind 5(s+2)(5+2)

A: Using method of Partial Fraction.

Q: 2+13y+ 12

A:

Q: 5 15 b) 12 28

A:

Q: 14) 121°

A:

Q: m15 2 m 5) dm + m-2 m-4 up-

A: To evaluate the given integral

Q: Find x, y, and z* 3.

A:

Q: 6xy÷(20cyrax-3y)

A: To evaluate: -6xy ÷(2xy+x×-3y) Let's simplify first inside bracket , therefore -6xy ÷(2xy-3xy) ⇒-6xy…