9) The Wronskian of the functions f(x) = -5, g(æ) = 7x² y h(x) = e3 is given by a) W(f(x), g(x), h(æ)) = 42(3x – 1)e** b) W(f(æ), 9(x), h(x)) = -210(3x – 1)ez c) W(f(x), g(x), h(x)) = 42(1 – 3æ)e

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…

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Q: 11V3 30

A:

Q: PC12)=

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: Find a and that solve the vector equation: + ß ;) = (³) 3

A:

Q: b) 7- 3(2х — 4) — 10

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

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: a) Lin 5) x2+2y2

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: 14 - Which one is a basis for the vector space R3 ? 1

A: We have to check

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: 13) 45

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: 5 15 b) 12 28

A:

Q: 18) 45

A:

Q: 7) dy

A: We first separate the variables

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A:

Q: Find A³ if A = {c, d}.

A: Cartesian product of c, d and c, d isc, c, c, d, d, c, d, d Further,           c, d× c, c, c, d, d,…

Q: 5) 180° rotation

A: If you like the solution then please give it a thumbs up.... The Answer is:           180 ° Rotation…

Q: 1) 2) 3) 4) 92 109 108 75 112 4.

A: Arc length  S = r.theta   So, 1 .     a = 75r 2.  b = 92/r  3 . c = 108/r

Q: (7) Differentiate 66 b)

A:

Q: Let f(x) = 4x - 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following.

A: Given Functions,fx = 4x-3andgx = x2 + 4,hx =  x+5.

Q: 8) 180° rotation

A: We have to find the coordinate

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…