if zi = ayi for i=1,2,...,n, show that z=ay

Q: U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die that are…

A: Given If U is the set of the numbers on a 6-sided die and B is the set of numbers on a 6-sided die…

Q: Let X be the number of minutes that it takes a random selected student to solve a mathematical…

A: We want to find mean and standard deviations

Q: 10 Sx³ex¹⁰dx= (Type an exact answer.)

A: Given integral is as follows

Q: M (63° <E L

A: Circle

Q: Find P(A), given that P(A) 0.493.

A: Given,      P A=0.493

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

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Q: Ex2:] If S:= {1/n - 1/m:n, mEN3, find inf Sand sup S.

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Q: Find 2 x²z ds, where C' is the line segment from (0,-3,-4) to (5,-2,-5). C

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Q: a²z If z = In(x² + y²)., find ax2 ay?

A: Here we have;  z=ln(x2+y2) ...................(1) partial derivative with respect to x

Q: All of the following are equidistant from the point (6,8) EXCEPT о (6, —2) 0 (-2, 12) о (16,8) O…

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Q: Evaluate Ja xdx + ydy + zdz where C is the line segment from (3, 4, 1) to (4, 5, — 1).

A:

Q: 3. Find the distance between (-1, -7) and (5, 9). O V22 O 2v73 O 2v5 O 2V13

A: The distance between the point (x1,y1) and (x2,y2) is given by D=(x2-x1)2+(y2-y1)2

Q: If u = 7 then uu? and u'u =

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Q: Find the value of y in the following y = 3* a) 1. x = -3, y = 2. x = -2, y = 3. x = -1, y = 4. x =…

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Q: (2) For each nEN, set D= [ Find each of the following (2) U Dn. (b)

A: Given Dn = -7n, 5n

Q: 3. For Z= xtanxy,evaluate Zyy

A: The given function Z=x tanxy We have to find Zyy.

Q: Suppose P(A)= 4, P(B)= .5, following: Find the P(ANB) a. b. P(A'nB) с. d. P(A'UB') P(BA)

A: Comments: As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

Q: Given preimage AQLU. T(X, y)x-4, y-3) to find AQ'L'U'

A: We have to find the coordinates of new triangle

Q: Let U = N, A = {1, 3, 5}, B = {x : x² - 6x + 5 = 0}, and D = {x:x>5}. Find a. D' b. D-A c. P(A)

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: Q. ) I toss a coin twice (experiment 1 ) and define X to be the number of heads I observe. Then, I…

A: Given: Experiment 1: Two coin are tossed. Experiment 2: four coin are tossed.

Q: If x-Gamm(a,B) and if a =1, then Gamm(1.B)-

A:

Q: Let U= {1, 7, 2, 12, 5, 10, 20, 18} A = {1, 20, 18} C = {7, 2, 12, 5, 10} Find A U C'.

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Q: If A' = g;a,rsys , Yi = birx, , and a;,b,j = dij. Find A' in terms of the x,

A:

Q: ex iR Py, z)-0 fined diz H and x=2-4

A: We have to find partial derivative.

Q: 7π 4 decimals to at least one decimal place. Convert the point (r, 0, z) (x, y, z): = = 6, " to…

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Q: a. Let U = { a, b, c, d, e, f, g} X= {a, c, e, g} , Y = { a, b, c }, and Z = {b, c , d, e, f} a1.…

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Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: 2. Find the siope of a ine witi tie given points (-Z, -9), (ū, -5), (Z, -i), (4, 3)

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Q: and xe"y %3D For ay

A: To find out partial derivatives.

Q: a PDE from the following- @u =f() Form メソ

A: We eliminate the arbitrary function f from the given equation to form the required partial…

Q: #Let Vz arih Here, れgl。 and hahe what netationship must hold betaen adho foro v to be ewoatly…

A: The expression for the volume is V=πr2h.   Thus, the total differential is given by dV=∂V∂rdr…

Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: Suppose A = (a, 0, 2) and B= (6, –2, b), for some a > 0 and b> 0. (a) If projĄB = 12 24 =,0,), find…

A: Suppose A=a, 0, 2 and B=6, -2, b, for some a&gt;0 and b&gt;0.If projAB=125, 0, 245, then to find the…

Q: Let U = x'e . Find dU .

A: The given function is: U=x2eyx Therefore: dU=∂U∂xdx+∂U∂ydy

Q: Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a…

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Q: 1. Which of the following statements are true? I. If A and B are independent then A' and B are…

A: 1. III.…