Let f : [0, 0) –+ R be a monotone function. Prove that lim f(x) = L for some number %3D L if and only if f is bounded. (When we say that f is bounded, we mean that the image f([0, 00)) is a bounded set.)

Q: H G M MP ||

A: As we can see from the image, the side MP is parallel to the side GH.

Q: If A={3,4,5}   B={a,b,c}. Find B X A.

A: Explanation of the solution is given below...

Q: The notation zyAx is equivalent to А. В. êrêy² 2 С. .2 D.

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Q: e. In OP, mAB = 43, and AC = DF. Find AC.

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Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: -4 c4x Evaluate . So S dydx.

A:

Q: Let 2 A = 3 and B = -3 Show that AB # BA.

A: Given, A=1232,  B=2-1-34

Q: use cayley -Hwmilt.n thern A. 3. 니 2

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Q: EXSFind. w and.wat the point. (u. 9.V.).22 0).. ne ..... i f wzin (x+yz), X=uě siau., y =učcau. and…

A: w=ln(x2+y2+z2)x=uevsinu , y=uevcosu and z=uev

Q: H.W: Find the domoin of y = X+3 4-[xt-q

A: Explanation of the solution is given below...

Q: If p lg. find the value of x.

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Q: e following could

A: The graph shows a linear graph.

Q: Given = (2,6), u = (-1,4), and u = (3,-7), find each of the following. - - a. u + v b. w-v c. w.u

A: Since you have asked multiple part question, we will solve the first 3 part of thequestion for you…

Q: We made a survey with the number of people in a household and the number of times they get sick…

A: Solution: Let x be the number of people in a household  y be the number of times they get sick in a…

Q: Let ā = (– 2, – 1, 3) and b = (- 5, 1, – 4). Find ā · b.

A: Given that , a→=-2 ,-1 ,3 and b→=-5 ,1 ,-4 a→·b→=?

Q: At which angle is cos=-1?

A: Given cosθ=-1

Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

A:

Q: Let á = (–1, 0, 1), b = (0, 3, − 1) and ₹ = (1, 2, —2). a. Find à x b. b. Find (a + b) x č. c. Find…

A: NOTE: Refresh your page if you can't see any equations. . here we have . find the determinant

Q: If A=(7,8) and B=(2,4,6) find A x B

A: Explanation of the answer is as follows

Q: Let å = (– 1, – 2, 1) and b = (4, 2, 1). Find å x b. V

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Q: ...=A.B Ā.B al B =i- 2K 3Ã = 2ī – 35 – k US i3/

A: Here we have given two vectors A→=1i⏞-3j⏞-1k⏞ , B→=1i⏞-2k⏞ and we have to calculate A→.B→.

Q: Find for y =. (Sim %3D

A: y = x2/ e3x

Q: Find the converse of q p.

A: q⇒p means "if q, then p"The converse of it will be " if p, then q"which has been symbollically…

Q: Let A = { 1, 2, 3, 4 } and B = { 4, 6, 8, 10 }. Find A x B

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Q: ARAC A 2. G. E A. OEG B. OGE C. EGO D. GOE A OB D

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Q: Lyf H. J. p. 3y=xml

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Q: .Complete: The train .... at 12 PM-6 a- do not leave O b- does not leaves O c- leave O d-does not…

A: Solution: The train..........at 12 PM

Q: R. find he Corficient of

A: We need to find coeffiient.

Q: e coshxdx

A: Given:  ∫e2xcosh(x)dxWe know that    cosh(x)=ex+e-x2Then∫e2xcosh(x)dx=∫e2xex+e-x2dx…

Q: Let à = i +43 and b - 37 - 7j. Find a . b

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Q: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.