Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r+ 7, y = r+ s, and z = r- s. ,X = = 30 = 46 = 26 = 5

Q: EVALUATE. 9e3x dx e3x Ve6x – 25

A: Let's find.

Q: If the lenght of any radious is 10 and RP=6, then find  AP= AB=   If the CQ=5 and RQ=12, find…

A: Given radius AR = 10 RP = 6 Then in right angled triangle (AR)2 = (AP)2+(RP)2 (10)2 = (AP)2+(6)2 100…

Q: What can you conclude regarding the numbers y and z if x z?

A: Given x<y, x>z

Q: 1. If p = 5i – 4j + 3k, q = -2i + 4k and r = 5j - 6k. determine p. (q x r).

A: Given vectors ,p→=5i∧-4j∧+k∧q→=-2i∧+4k∧=-2i∧+0j∧+4k∧r→=5j∧-6k∧=0i∧+5j∧-6k∧

Q: 3. Find mzRQS. R 7x +4 S 3x+ 9

A: The objective is to find m RQS.

Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: GIven u = and v = determine -4u - v

A:

Q: (g) F(x)= √√x for 0 < x < 1 and F-¹(x) = x², so X = U² (h) E(et(a+bX)) = E(eªt ebtX) = eªt Mx (bt)…

A: In this question, we are presented with three proof excerpts related to mathematical statistics.…

Q: (d) Σ apq* = pq Σκg- x=0 x=1 (e) F(2.5) = 1 – e-0.35x2.5 d Σq = pa4 (1 – q)-1 x=0 tx = pa da = 0.583…

A:

Q: The probability density function for the diameter of a drilled hole in millimeters is 10 e 10(x-5)…

A: Given probability density functionf(x)=10e-10(x-5)    x&gt;5 mm d) The expected value is calculated…

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: and y= If a = 3, then x =

A: Solve using the properties of trigonometric rations

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A: System of linear equations,

Q: 9) ZXWY = ZZWY. Find XY. 15 24 Y 21

A:

Q: ...=A.B Ā.B al B =i- 2K 3Ã = 2ī – 35 – k US i3/

A: Here we have given two vectors A→=1i⏞-3j⏞-1k⏞ , B→=1i⏞-2k⏞ and we have to calculate A→.B→.

Q: W X Y Exs. 4, 5

A: Given: mXW⏜=60, mWZ⏜=70, and mZY⏜=70.

Q: area of the triangle with the vertices (1, 0, 3), (5, 0,-1), and (0, 2, –2). 41. Unit normal vector…

A:

Q: 2. ARACA R E

A: Given query is to complete the congruency statment.

Q: 12. Find the value of x such that: 7Cx-1 + 7cx=8Cx+2 с. 4 а. 2 b. 3 d. 5

A: Given that 7Cx-1+7Cx=8Cx+2-1As we know that ncr+ncr-1=n+1cr

Q: Find the solution of the system of linear equation and the value of the determinant of its…

A:

Q: If (a-b)/c = (c-b)/a = 0.1, what are a, b, and c?

A: (a-b)/c = (c-b)/a = 0.1

Q: 3 4. Let A= 1 -2 find det(M21), (M= minor) 3 Select one: a. 8 b. 10 C. -10 d. -8

A: We need to find det(M21), remove the second row and first column from the given matrix then the…

Q: Find et, where A = 5 3 -3 -1

A: Given That : Matrix A=5-33-1. To Find : eAt

Q: j. Min Z = 12x, + 8x, subject to: 4x, + 2x, 2 24 2x, + 2x, 2 10 2x, < 8 X,, X2 20

A: To solve the Linear programming problem using the graphical method  Consider the constraints as…

Q: Differentiate W.r.t to x ne*

A:

Q: Suppose B = (8, -7) and AB = (1, -13). Then 0 A

A: If we have two points A=x1,y1 and B=(x2,y2) then AB→=x2-x1,y2-y1          Equation 1   If we have…

Q: 9) Find x, y, and z z° y 9. 28°

A: To find: The value of x,y and z Concept used: Angle sum property: The sum of all the angles of…

Q: If WC=6, ZC=10, WY=12, find YZ

A:

Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A: