1x1221i3 d lio a ow anl a **** Problems ve men and 3 swomen ae sanked anding so dir Aume that so wo scons an aliks and all 30 possili at X denone the highest sanking achieved by s woman do he eop-ranked person was male and the nes-runked person w PLX .1-1.2,3. esent the difference berween the mumber of heads and the sunbd h obtained when a coin is tossed n times. What are the pouible valun a Problem 2, if the coin is assumed fait, for a 3, what are the prdabiltes ociated with the values that X can take on? The distribution function of the random variable X is given ing 15x<2 =(x)/ 25x<3 %3D (a) Plot this distribution function. (b) What is P(X > ? (c) What is P(2

Q: 4. Find g[h(x)] if g(x) = x² and h(x) = x + 3. %3D O A. x2-- 3 B. x + 6x +9 O C. x + 3x? O D. z + a…

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Q: (7) Use Euler's methods to find numerical solution of the following d. e. 1 (8) y'= 4x +x? -y, with…

A: A

Q: B. Solve. VNHS 16-18. If VN+ SH = 30 cm and VN+ NH = 20 cm V N Find VN = cm SH= _cm NH= 19-20. If VH…

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Q: 1 -dx = A(BIn|2 + x|+ Dln|2 – x|) + C, then the value of 2A(B – D) is If 4– x2 O-1 O 2 01

A: As Given in the question  ∫14-x2dx=A(Bln|2+x|+Dln|2-x|)+c the we have to find the value of 2A(B-D)

Q: 2en cos 2t s+ 2 Option 2 None of the choices 2s s2 -2 s2 -2 O Option 5 Option 3 2s s2 +4

A: Given :2eln cos2t

Q: 4. y=e2 y=e", x= In 2, and x = In 8 %3D

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Q: 5 37) [D + 1 LD + 3 Solve the following simultaneous linear D.E. 2D + 11 et +10) = {²} 4D + 111 -2t

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Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: Question 10 Let P = 2ax + 5ay - 3az, Q = 3ax - 4ay, and R = ax + ay + az. Determine | P - 5R|. (A)…

A: Let's find.

Q: 2. Cosinder the following initial value problem (IVP): = 1+z sin(ry), 0<I<1, (0) = a +8. (a) Does…

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Q: valuate the following: a. L {e3t + cos6t - e3t cos6t} b. L-1 {6s/(s2 + 25) + 3/(s2 + 25)} c. L-1…

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Q: If a certain BE has a solution of yles -zdx = f=es-æd dx +C, which of the following BE !3! below is…

A: The solution are next step

Q: Fund the Picard Iterates Yo- for the following enitial Value Problem assume that ylo) = 2

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Q: 2 imaginary solutions -medhs there dre ho redi #'s that wotk in the Qudtion, ohly imdginary ニx:…

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Q: 1 1 dr = In a. find the exact value of a. %3D V16+9x? 19+4x*

A: Here we will solve for 'a' step by step answer given below,

Q: S find L-1 cot-12 k

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Q: 4 K If MP=17, LK=24 and PN=13 then find JK. Show Your Work

A:

Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

Q: (6) 3 Scary TRUE Military Ston x D Ranboolive - Twitch D BoomerNA - Twitch…

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Q: -1 6 1. Let A= - 3 4 14 4 Fund a) M, and Cl b) Mu3 and C43 c) Fund detA by a Cefactor ex panesion…

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Q: 2.4.11. We take F = R for this problem. (a) Let Q be the "closed first quadrant" in Rd, i.e., {x =…

A: Note: Since you have posted independent questions, according to the policy we are only allowed to…

Q: 2 find dw sing e the apprprate au Chasn nee ure anuser interm8 of U Ź urec find§ sone -42² to X=5x…

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Q: Question 4 Let P = 2ax + 5ay - 3az, Q = 3ax - 4ay, and R = ax + ay + az. For what values of k is |…

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Q: 8. If JM = x + 17 and MK = 5x – 23, find JL. %3D H. 'K

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: Dim(Maxn) > Dim(R) 10 Dim(Pn-1) = Dim(R¹) (2) Dim(Mnxn) > Dim(Pn) (3)

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Q: - Reseanh people live belas pople shaw zo %. of 50 fears goup of l Mresan, on 1000 of an g for…

A: It is given that total number of people N=1000. Let us consider that, nA= number of people live…

Q: a²x, a?x? Po(x) = 1, p1(x) = 1 + ax, p2(x) = 1 + ax + 2! P3 (x) = 1 + ax + 2! %3D 3! a?? ax? p4 (x)…

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Q: 4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in…

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Q: 7. 8. В MZBOA= 3 MZAOB = 45° A MZBOC = 4 A CO = 1 B = (0, 1) CO = OA 9. 0=2,r- r= 2 3 10. 0 = - 2…

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Q: Given f (x) =1– 2 cos (Tx) that is defined over [1, 6] with a step (h) = 1. Solve points (1, 2, 3,…

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Q: 1 -1 х 1 w A = and C = 6 -1 zr 8 6AT – cT

A: How to calculate the Transpose of a matrix:- Simply interchange the rows and columns of the matrix…

Q: Ar, So, and ka are the Tano constants and have no significance at all beyond allowing me to insert…

A: Consider the given equation: To apply finite difference.

Q: Apply Euler method and Richardson extrapolation anthe problem ity: Itt y' year=o. and approximate y…

A: Note: Hi! Thank you for your question. As per the guideline we can solve one question at a time in…

Q: Questions 28 and 29 pertain to the following situation. On a college campus of 5,000 students, one…

A: 28) Put t=5 in the given expression to find the number of infected students after 5 days. 29)…

Q: Solve for 0 if –6sin 0 + 4 = 3/3 + 4 and 0 <0 < 2n. Select the correct answer below: O e = only 4л 0…

A: We have to find exact value of theta from given expression.

Q: 2) Find an explicit solution for each of the following intial-value problems, also give its interval…

A: Given - Initial-value problems are given. To find explicit solution for given problems and to…

Q: -1 D 14 10 16 B A АВ CD 10 14 %3D BD AB and BD = CD, AC BC AD 16 Because CD it follows that AB = AC.…

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Q: Question 2 10 9(x) dr +3 and g(rdr+5,1hen 10 rp (2) 6

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Q: QUESTION 1 Which of the following is a general solution to the following 4x?y"+4xy'+ (4x2 – 25) y=0…

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Q: I. Solve each of the given LDE of order n. (D^5-5D^3)y=4

A: If roots of the Auxiliary equation are m1,m2,...,mn unequal and real , then complementary function…

Q: 3/Lind the roet at function fLx =X- 20, 5.5 Using two guesses Xa- 4.0 Dotwa iteration.

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Q: by first – shifting find L(e2tt3)= - 6. (s-2)4 .a O | 1 (s-3)4 bO (s – 3) 4 6. (s -2)3 cO 3 (s–2) 4…

A: Laplace transform

Q: Show complete (detailed step-by-step) solutions to the following on bond papers. 3. Solve using the…

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Q: 2) x+y+kz= 2 3x+4y+2z=k 2x+3y-z =1 a) for have only one solution ks b) for be unsolvable k? c)…

A: Step:-1 Given system of equation is x + y + k z =23 x + 4 y + 2 z =k2 x +3 y -z =1 11k34223-1 xyz =…

Q: 2. Solve An=b; A 23 2 matróx n verri m 3. A Find Is it my mme ic?

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Q: 7. If WX = 14 and WR = 8, find RZ. 8. If AC = 38 and ED = 41, find CD. %3D X W Y RI C. O Gina Wiscn…

A: Given: 7. WX=14 and WR=8 To find RZ using kites properties. Since you have posted a question with…

Q: Find the Complete Solution of PDE (0-300'+ 20°)u= é 2x+3y e 4 Sin (x-24) Answer wilIl be ?K +34

A: Given Partial Differential Equation is : (D2-3DD'+2D'2)u=e2x+3y+sin(x-2y) The general solution of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.