28. Which of the following are always true, and which are not always true? Give reasons for your answers. a. u•v = v•u b. u X v = -(v X u) c. (-u) X v = -(u X v) d. (cu)•v = u•(cv) = c(u •v) (any number c) e. c(u X v) = (cu) X v = u × (cv) (any number c) f. u•u = |u|? g. (u X u) • u = 0 h. (u X v)• u = v•(u × v)

Q: (c) Infer E[W] without resorting to lengthy calculations but make sure you justify your inference.…

A:

Q: 22. Hr. u 2 200 versus Hr: u < 200, a = 0.05,x= 198, s = 5, n= 25 1) (z= -2.00, p-value = 0.0228) 2)…

A: As per our guidelines, we are allowed to answer first question only. Thanks   22) Here we have been…

Q: 8. If s is t less than four times u, what is t in terms of s and u ? F. 4u + s oG. 4u- s H. u+s J. U…

A:

Q: 10. Given: DF || CG, 2C ZG Prove: DE FE Conclusions Justifications DF CG,LCLG1. Given 2. 2.

A: Given DF¯||CG¯ and ∠C=∠G ⇒∠D=∠C and ∠F=∠G (Corresponding angles)⇒∠D=∠F (since ∠C=∠G)

Q: ………………………………. (3) Sc N Soo + T X SOO ************* 8 (0)- …………... uus + T uus T 1 () USZ

A:

Q: v/4 f(u) 10, %3D elsewhere.

A:

Q: s^(1 – u)Vū du 4

A: Given integral   ∫141-uu du

Q: 2. When an automobile is stopped by a roving safety patrol, each tire is checked for tire wear, and…

A:

Q: If R=10x3y2z2 and errors in x, y, z are 0.03, 0.01 and 0.02 respectively at x = 3, y = 1, z = 2.…

A: Consider the given formula as R=10x3y2z2. Then, we have…

Q: 3. Given: WXZ ZYXZ W Conclusion: ?

A: 3) Given: ∠WXZ≅∠YXZ     To find: Conclusion and reason

Q: 4. Consider A={m,a,t,h}; C={x:x=3n,1šns4,neN}; B={s,t,e,m} ; D={x:x=2n,15n 56,nEN} What is CUD? *

A: Here given that                         A={m, a, t, h}                         C={x:x=3n, 1≤n≤4,…

Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: 20. Let (). ()- u = v = If æu + yv = w. (æ, y E R), then a - y = (A) 2/3 (В) —3/2 (C) 3/2 (D) –1/2…

A: To find the value of x-y from the given vectors.

Q: . Suppose p is false, q is false, s is true. Then (svp is T/F? A True False

A: p is True q is False s is True Now, the statement s∨q is True if at least one of s and q is True.…

Q: What must be the value of y if u = (1/3, y, -1/2), v = (6, 1/8, 10), and u · v = -5/2. 3 1 4 O 2

A:

Q: 4. If /(r.y)=- , find f, and f,. V+y

A:

Q: 6. Evaluate u x v, where u = -e, - 2e, + 2e,, v = 2e, - 2e, +e,.

A:

Q: 3-Evaluate S Fdr where 2X Cisgiven by rT) = C 3+U-3t)jrék

A:

Q: 4. Show that (1) SST = Cu – 9)* = vy - ng = v (1. -) (2) sSR= Em – )* = ³ X'y – ng° = v ( H - )v (3)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate (x – 2y + z) dS. S: z = 8 – x, 0 <x< 8, 0 < y< 7

A: Given I=∬S(x−2y+z)dSS:z=8−x,0≤x≤8,0≤y≤7

Q: 4. If xv =ùx.w.and.ut..theh.dues. U.X.

A: Solved given problem.follow step below.

Q: . If u . v = 0 and u * v = 0, what, if anything, can you conclude about u and v?

A: Dot Product The Dot Product is written using a central dot: a · b This means the Dot Product of a…

Q: 4. Demonstrate that Re(iz) = -Im(z);

A:

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: (6) If w = f(u, v), where u = x + y and v = x – y, show that = 2 ди

A:

Q: 2х eğrisinin varsa asimptotlarını, kritik noktalarını, ekstremum noktalarını, y : 1-x dönüm…

A: function behaviour and its graph

Q: 13. If T:(x, y)– (x – 1, y + 6), then T':(x, y) → (__, .

A: GivenT(x,y)=(x-1,y+6)To findT-1(x,y)

Q: p(x, y) 3/24 2/24 1/24 1 2/24 5/24 2/24 2 6/24 1/24 2/24 Е(X), Е(Y), H(X), н(Y, НХ Ү), аnd HIX, Y)

A: It is an important part of statistics. It is widely used. Since the question has multiple sub parts…

Q: 4- if A = x?i – yj + zk,B = yi + xj – xyzk, o = x²y + zx + yz² , find : (d) ▼ × B

A:

Q: If c &gt;0, |u| &lt;c is equivalent to_______ &lt;u &lt;_______.

A:

Q: 2 Test the distavnce formula fer froblem in Ex-© aboue unkarred coordnates ane (2,-1) and (2,-4) on…

A: Distance b/w (2,-1) and (2,-4) = ((2-2)2 +(-4+1)2)0.5…

Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

A:

Q: 5. Demonstrate that Im(iz) = Re(z).

A: It is required to demonstrate the problem 5. Problem 5 is solved below in detail.

Q: 6. Prove that, if a, b e Z, then 3a? – 4b – 5 0. - -

A: Answer

Q: = |2| vektörlerinin oluşturduğu düzleme dik u vektörünün z ekseniyle yaptığı açıyı [3] 4) w1 |2|, W2…

A: Is this right? Calculate the angle of the vector u perpendicular to the plane formed by the vectors…

Q: - True or False and Why. (a) {{1}, {42}} = {1,42} (b) U{{1}, {42}} = {1, 42} %3D (c) U{1, {1, 42}} =…

A:

Q: When is it true that u+v= v+u?

A: Answer: It is true when is commutative property.

Q: if H0 is u equal to 21, H1 is u is greater than 21, then the hypothesis is Oa Two tailed b. One…

A: Right tailed TEST:A right tailed test (sometimes called an upper test) is where your hypothesis…

Q: 28. f,(2,4) if f(x, y) = x* In y

A:

Q: a) Is it reasonable to assume X; and Y; are independent? b) Is it reasonable to assume X; is…

A: According to the answering guidelines,  we can answer only three subparts of a question and the rest…

Q: (2). By Contrapositive: “V n e Z, if 3| (n² + 1), then 3 ł (2n² + 1)."

A: Solution:

Q: If u t- dt, then o V3 2 /3 O 3 9. 3/4

A:

Q: Suppose that X, Y C U. If Pr(X) = 0.4, Pr(Y) = 0.22, and Pr(XnY) = 0.07, what is Pr(X' U Y)? %3D

A:

Q: State the postulate or theorem that justifies the statement. 1/2 3/4 7. 23 = L7 8. 23 = L6 5/6 7/8…

A:

Q: When u × v = 0 and u ∙ v = 0, what can you conclude about u and v?

A:

Q: 15. Given that B(x) means "x is a bear", F(x) means "x is a fish", and E(x, y) means “x eats y",…

A: Given:        Bx means "x is a bear",        Fx means "x is a fish",        Ex,y means "x eats y".…

Q: ф%3 ASin2лut $ = TUt dø, k " ø = 0 dr m U = ? +

A: