Q. Let (X, B(R), µ) be a Borel measure space. If AnB = 0, B nC = ¢, µ(AnC) = 1,then µ(AUBUC) = 1. μ(Α)+ μ(Β) + μ (C). 2 μ(A)+ μ(Β) + μ (C) -l 3. µ(A)+ µ(B)+ µ(C) +1. 4.None of these. %3D %3D O Option 1 O Option 2 O Option 3 O Option 4

Q: Using the midpoint rule, estimate the area under the graph of the function 15- f(x) = 4 – x between…

A:

Q: 8. What is the minimum value of the function defined by y = cosx + 4? В. З A. 2 C. 4 D. 5

A: Given- y=cosx+4 To find- The minimum value of the expression.

Q: Calculate gij for the distance between (x;) = (1, 1, – 1) and (yi) = (0,1,2) in %3D T-2 1] barred…

A: A point in three dimensional coordinate system is given by xi=1,1,-1yi=0,1,2 Now the point in barred…

Q: Let f (L, K ) = 32LK. Find df/dL.

A: Differentiate the function f with respect to L.

Q: Show work

A: Given VO = 9y-20 TO = 5y OU = 27+7x OS = 41

Q: 4. (a) Prove, without recourse to geometry, that u • (v × w) = v • (w × u) = w • (u × v) = −u • (w ×…

A: Solution: To  solve  the  above  problem,  we  need  a  basic  result .Let  us  recall  that  first…

Q: IF fla) =V3x, g(x)= and h(x)= 6x-)0 %3D %3D Lind for mula For the following a) g(hiecs) b) h

A: We need to find: (a)g(h(f(x))) (b)h(f(g(x))) (c)h(g(f(x)))

Q: The marginnal cost of proclucing. the xth Dox f light bubs is 12=x 10000 and the fxec ccstis 20,000…

A: **As per our guidelines we are allowed to answer only 1 question at a time. Kindly please re-post…

Q: f(y) = 3{/v +Vv- 2V a. f'(V) = 12y O b. 9Ny-6Vy-8/y 12y Oc. 9y +6Vy- 8v 12y O d. 9+6Vy +8Vy 12y

A: Topic:- Derivative  correct option = c

Q: Determines the distance between the left right.

A:

Q: Use graphing technology to plot the given function together with its 3-unit moving average. f(x) =…

A: Solve the function

Q: 7. find the determinant of the following matriz : 15 -2 4 -5 -3 6 6 -7]

A: # we are entitled to solve one question at a time, please resubmit the other question of you wish to…

Q: Let X1,..., Xn be i.i.d. Gamma(a, B) with a > 0 and B > 0. Find the MMES of a and В.

A: Let x1, ..., xn be the i.i.d Gamma(α, β) ;α>0, β>0. Find the Method of Moment Estimator of α…

Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

A:

Q: Calculate Jazyz if Ax,y,2) = 5x³ + 7x²y³ + 2y³ + 2z³. O A frzy: = 5x2 - 7xy O B. frzy2 = O C. None…

A:

Q: Let f(x,y) = In ( x2 + y). If fy(2,a)=fy- 1, 2), what is the value of a? а. 3 O b.7 О с. 8 d. 6 O e.…

A:

Q: . Use linear approximation to find v100.7

A: Linear Approximation For a function of any given value, the closest estimate of a function is to be…

Q: Q.IB) If w=f(u, v) where u = tan ¹2 &v=ln(x² + y²), the show that: Əw dw aw +y ax dy 2- ду x-

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: How is the area y > -1 converted by mapping w = iz ?

A: Given area y>-1 mapping is w=iz Let w=u+ivz=x+iv

Q: Find the CDF of the distance of two randomly chosen points of the [0,6] interval. F(x) - if x6.

A: Given x~U(0,6)

Q: IF f (x,y) fo FIMD fxx

A: We have to find partial derivative of f(x,y).

Q: eace write iginal Inha

A: Introduction: Simultaneous equations are those in which the derivatives of two or more dependent…

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

A: We have to find [G:H]

Q: (b) Calculate dx ds ду ds dz ds II || ||

A:

Q: 27. Calculate the area of the parallelogram whose adjacent sides are å = [−6,5,−4]& b = [−2,2,4].…

A:

Q: 5. Find the equation that gives the FT of x,(t) * x,(t) * x,(t) where x,(t) is the rectangular pulse…

A: It is given that