ở =< 1,1, –1 >, then If f(x, y, z) = In(2 + x² – 2y² – 3z), Duf(2, –1, 1) = A) % 11 V3 В) 11 C) D) - E) OC O D OE O O O OO

Q: If X = x „then W(x1(t), x,(t)) = 10 Select one: O a. ce- а. O b. ct C. c t? d. ce'

A: We will use basic knowledge of Wronskian for a II order linear homogeneous ODE. WE convert the above…

Q: An economist is studying the job market in Denver area neighborhoods. Let x represent the total…

A: A Scatter plot is a nonmathematical study of the relationship between the variable. In this graph x…

Q: Let X be a r.v. with p.d. f. ,x = 1,2,3, ... f(x): e.w. The value of a is: N I3

A:

Q: Let W = {A E M3: a1 = a12 = 0 and an = an= az3}. %3D Then dim(W) = (A) 4 (B) 5 (C) 6 (D) 3 (E) 7

A:

Q: f Vf(x, y) = 0, then Duf(x, y) = 0 for all u. %3D %3D

A: True

Q: et z = r²y – ry², I = e *,y= e*, then which of the following is O a. 2et + 2e 2t O b. 0 OG -2e4 – 2e…

A:

Q: We are working in R². Let & be the standard basis, B be the basis formed by {(2, 1), (0, −1)}, and C…

A:

Q: If f(z, y) – e . In(9y) , then fz is given by: O - 9e In(9y) o - 27 e In(9y) O 9 e In(9y) O 27 e…

A:

Q: √__(x+1) dx (x+2)(x-1)² 1 9 3 2 0-11/11 - 01/17 9 3 2 3 1 2 9 3 -io 1 9 - = 1[ A B + x+2 x-1 + C…

A:

Q: Re(z,€,) = Re(*,)R (z,) O True O False

A:

Q: Evaluate SS 5ex+y+" dV over B where B = {(x, y, z) : x² + + z² < 1}. Take = 3.

A: The integrals in the form ∭f(x,y,z)dV is called a triple integral. In this problem, we have to…

Q: Let xer" and ge I show that =yex is an imer product.

A: I have to show that the given relation satisfies three conditions to be a inner product

Q: 2 Q) Let A € M₁ C4) such that A² = A ENA show that det (I+A) = 2

A: If minimal polynomial is totally factorizable that is product of linear factors. Then matrix is…

Q: Let X ∼ N ( 1 , 4 ) and Y ∼ N ( 2 , 9 )be independent and let W = X2 +2Y + 3. Then what is the mean…

A: Given, Therefore,

Q: Let D = {a, b, c, d, e} and C = {1,2,3,4,5,6}. Define f: D → C by f = {(a,6), (b, 1), (c, 4), (d,…

A:

Q: Given u = (0,1, -1,2) and v = (1,1,3,0) find ||u + v||

A:

Q: Let X and Y be independent and distributed as N(mu, 1). Is T=X-Y sufficient?

A: According to factorization theorem, if the likelihood function Lx,θ can be expressed in the form.…

Q: Tpy and B= -1 x² + x² + y² + 1 A<B

A: We have,  and,

Q: The number of units in z,,[x] is None 30 28 22

A: See solution below

Q: The div A at p(1,1,2) for A is .... Å = x²y i + 2 x z j + 4 - z² y k - 3 ( 3 зі зј о

A:

Q: z O A. r2 O B. 프 OC. In(r), OD. In(v) OE. VE

A:

Q: 2. Let G = Z,xZ4, and find [G:H] for: a) H = {0}xZ4. %3D

A: We have to find [G:H]

Q: Suppose w = u(x, y, z) and that x = f(r, s, t), y = g(r, s, t) , and z = h(r, s, t). Write an %3D…

A: In order to calculate the partial derivative of w with respect to t, we first find the partial…

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

A: 1. III.…

Q: Let f(x, y) = In(x²y³), where r = s? + t? and y = 2s + 3t. Which of the following is a correct…

A:

Q: Explain why 3Z is not an ideal in Q

A:

Q: Let X=(1,0, – 1,-V2)'. Then, ||X||2 = Select one: а. 3 O b. 4 C. 2 O d. 1

A:

Q: | y(y? + 1)5 dy

A:

Q: Let f(x, y) = In(x²y), where a = s² + t² and y = 2s + 3t. %3D Which of the following is a correct…

A: Given,           f(x,y) = lnx2y3,  where x = s2 + t2 and y = 2s + 3t

Q: Let C: |z-i=3 and I = §. dz 2z dz. Then %3D

A:

Q: Which of the following points does NOT lie on the line x + 3y = 10? %3D O (-4, 14/3) O (-2, 4) O (2,…

A:

Q: Let F(x, y, z) = x² 7 + y? 3 + 3zk. Then divF(x, y, 2) is: x3 3z2 3 3 2л + 2у + 3 2x i + 2yj + 3 k…

A:

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.…

A: