Q. 1.1 Let X,,X1o B(1,0). Let Ho: 0 and H : 0 We reject Ho if S-E", X, S 3. Find the power function of the test. .... Q. 1.2 Let X, X2 (:0) E(0). Let Ho : 0-2 and Hy : 0 - 1. We reject Ho if (:2)f(#2: 2) T(21: 1)/(#3; 1) Find the power function of the test.

Q: 4 For which values of a e R is the function f(x + iy) = (a²x – axy)+ i ax? + ay an entire function?

A:

Q: f(x, 3, z) = 3x In(x?yz) + æi For the function, match the following. yai-1 In æ -1 3. A. - 1 B. 3…

A: Given: f(x,y,z)=3xln(x2yz)+xyz

Q: Q7 Assuming y = f(x), compute [3xy²] dx

A: The function is y=3xy2.To find : Compute ddx3xy2

Q: Given a function s(x) such that s'(x) > 1 on [0, 7]. If s(0) = -9, which of the following could be…

A: Given function s(x) such that s'(x)>1 on [0,7]. If s(0)=-9, we have to find  the possible values…

Q: Given the following data in the form (x, f(x)): (1.10, 1), (1.20, 2), (1.28, 3), (1.30, 4). Using…

A:

Q: 13.Given f(x)= Vx, find 2f(x)+1 an expression for:

A: Given query is to find indicated expression.

Q: 1 and g(x) = 3. 6. +3. Let f(x) = Then (fo g)(x) = (go f)(z) = > Next Question

A:

Q: X 1. Find and draw F, (y) and fy(y) in terms of Fx (x) and fx(x). 2, for x<0 ↑ f(x)

A: From the graph of the given distribution function it is clear that we can say the Y is related as…

Q: Use a formula to express w as a function of t if w = . 5+6 and s = + 8.

A:

Q: 7. 3+x 7 3-x Find f(x) such that h(x) = (fo g)(x) and g(x) = 3+x h(x) = 3-x ,7 f(x) = D

A: It is given that gx=3+x73-x7,hx=3+x73-x79

Q: A function f(x) is defined as f(x) = -6x. What is f(-3) ? F. -324 G. -54 Н. %3D 54 J. К. 108 324

A: Given  f(x) = -6x2 We have to find f(-3).

Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: 2x-7 Let f(x) =y = ,are f(y) is: 13x-11 1ly-7 O 7y-5 7y 7-1ly O 2-13y 7y o-13+2y

A:

Q: 1. Let f(x)=x² - x, xeR then f(f(f(v2))) is: -34 + V2. b. 2/2 +34. c. 34+2/2. d. 34– 2/2. e. 2/2 -…

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Q: 1 2 3 EXERCISE 1 4 1. Suppose X~Po (5.5). Find i. P(X=5) ii. P(X iii. P(Xs5) iv. P(X>5) v. P(X25) 7…

A:

Q: 25. y = 2 cos yA 2 28. y = 2 sin ) -2TT -2 31. y = 3 sin (2x) (A)

A: In this, the amplitude is multiplied by 2 and x is scaled by 1/2.

Q: 2. Write a program that implements the first order (linear) interpolations.. 3. Use the program to…

A: A Wolfram Mathematica program that implements the first-order (linear) interpolation is as follows:

Q: 14. The range of the function f(x) = 3x² - 2x+8 is {13,29}. What is the function's domain? a. {1,-2}…

A:

Q: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

A:

Q: 10. If f (x, y) =2ye” then find √, (x, y). f„,

A:

Q: x2 11.6.3. f(x,y) = xy\/1 - %3D a, b > 0. - a2 62

A: Given

Q: 5:40 AT&T 4.2.21 Use f(x) = 3x and g(x) = x- 6 to evaluate the expression. 2 a. (fo g)(4) b. (g o…

A: Given fx=3x2gx=x-62

Q: 6. Which is the best list of possible values of x that could make f(x) = 3x³ + 6x² + 11x + 6 equal…

A: f(x)=3x3+11x+6.

Q: 7. Given f(x) = x² – 5x ,

A:

Q: Evaluate the function. 2. Find h(3,6) when h(x,y) = 3x +y J3x+y O A. 9 O B. 10 O C. 3/5 O D. 5/3

A: We have given function  hx,y = 3x+y2 Put x = 3 , y = 6 h3,6 = 3×3+62 h3,6 = 9+36 h3,6 = 45 h3,6 = 35

Q: If f(x, y) = x²ye*xy, find fx and fyx.

A: Given function is

Q: D Question 18 Given the function S(x) = 3x – 2, g(x) = vx + 2 Evaluate

A: Let's find.

Q: A function f has f(10) = 23, f'(10) = 2 and f" (x) 10. Which of the following are possible values…

A: Find your answer below

Q: Consider the following. f(x, y) = 7x – 5y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4,…

A:

Q: Determine the critical numbers of the functions. 1 Ex5 +x +3 1 f(x) :

A: Given query is to find the critical points of the function.

Q: Roll two dice and observe the numbers coming up. Define two events by: A="the sum is six," and…

A:

Q: (5-9)construct a Divided difference table for f(x) X². e-x/2 fi FIX,X1] 5).. 6)..... X₁ 1.1 2 3.5 5…

A: