then E(y) and V(y) are

Q: Restrict the domain of f(z) such that it is one-to-one (if it wasn't already), and then sketch the…

A: Horizontal line test: If the horizontal line intersects the graph of a function in all places at…

Q: f (x, y) = − x² - y² +3. :

A: We have to find the maxima of the function  f(x,y)=-x2-y4+3

Q: If = AW)a)dx, then || x-x'||=- Ax)#(x)dx, then || x-x'||=- 20

A: x-x22=x-x2, x-x2                =∫01x-x22dx                =∫01x2+x4-2x3dx…

Q: If f(x,y)=x³y +7xky2, find fx(1, -2) where k = 3

A: Given query is to find indicated partial derivative.

Q: 5 E(3k – 1) k= 1

A: Concept : summation of N natural numbers is ∑1Nn = N(N+1)2                              if a is…

Q: If f (x) is a linear function, f (1) = 0, and f (2) = 1, what is f (3)?

A: fx is a linear function such that f1=0 & f2=1

Q: What is the value of y(10) for y(t) L'((e“+2e ll + 3e ")) ?

A:

Q: If Cov(x, y) = 0, that means: x and y are dependent. Option 2 f(x,y) = f₁(x)f2(y) Option 1 E(xy) =…

A: We have to tell If cov (x, y) =0 than which option is true.

Q: If √(x) + √(y) = 7 and y(36) = 1, find y′(36) y′(36) = ?

A: Taking derivative with respect to x,

Q: Let E(X)=−7,E(Y)=4,var(X)=16 and var(Y)=8 Calculate (a) E(2X+4Y). (b) E(X − 2Y − 2022). (c) var(2X…

A: According our policy we can answer only first three subpart for remaining please repost the…

Q: 3 - 9, y(0) 33 - 30 – 13 a(t) = y(t) = %3D

A: Given,       x'y'=53-30-13xy     x(0)=-9, y(0)=33

Q: I. If f(x, y) = x² – y² + 4xy – 7x + 10, find (a) f(2, 1) (c) f(x + h, y) (b) f(-3, 5) (d) f(x, y +…

A: topic - functions note : As per bartleby guidelines, we are supposed to answer only first three…

Q: If f(x) = 4-x & g(x) = Vx them find (fog)co (gof)

A:

Q: 3. Consider the functions, m(x) = x + 3x and p(x) = 2x + 5, Find m(p(1)) b. Find m(p(x)) a. c. Find…

A:

Q: Let f(x) = V3x + 9 and g(x) = 2x+ 6 find fog(x) and gof (x).

A:

Q: The functions y, = e* – e-X a y2 = - 3ex + 2e-x are linearly independent. True False

A:

Q: Show that V ar(aX + b) = a2V ar(X).  V ar(c) = 0 for any constant c.

A: Solution-:We want to show that.   Where, Var (c) =0  for any constant.

Q: What does dr stand for in terms of r(t)?

A: Given: What does dr stand for in terms of r(t)?

Q: If h(x) %3D х — 8, m(x) %3D 2х + 9 and p(x) %3D х2 — 11х + 24, find: 1. (h + p)(x) 2. (р — m) (х) 3.…

A:

Q: f(x)= s-1)² - 1

A:

Q: There are only two companies that produce running shoes: X and Y. The shoes they produce are similar…

A:

Q: 2. State the value of x for each, given g(x) = -3x + 4 and f(x) = /x – 5 a)g(x) = 10 b)g(x) = -2…

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: 6. Find the x-intercept(s) of y= (x – 7) - 4

A:

Q: If feF - dr = Sc(4x + 4y²) dx + (x²y) dy, what is.

A:

Q: Show that for constants a and b ‡ 0 (a) Mx+a(t) = eªt Mx (t); (b) Mbx (t) = Mx (bt); (c) Mx+a (t) =…

A: Solution-: We want to show that for constant a and b ≠0 (a) MX+a(t) =eat MX(t)  (b) MbX(t)=MX(bt)…

Q: ( 2(x +1)cx = 3 If then a equals ?

A: