By using this 3B=5 St Xj

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

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Q: Ex:- If X~ Bin(n,P) If Mx= E)= 2 V(X) = 1·2. noP, P(X=\) Find

A: It is given that EX=2 and VarX=1.2 Therefore EX=np=2 and VarX=npq=1.2 Therefore VarXEX=npqnp=q…

Q: When z = f(x,y), which of the following is true for the whole statement? %3D

A: We have given function z=f(x,y). We need to check which of the conditions are true for the given…

Q: let x~ exp0), find B.C.R to test Ho: O3 against H,: 0 2,if4, ds o.05,

A: Exponential distribution: Here, X1, X2,,…, Xn, are iid (independent and identically distributed)…

Q: the nules for expuner Sing Xxt = (xy)b = こ x+

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Q: Which theorem can be used to prove that ARQM APMQ H R P M

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Q: EX8-H.W)lt Xy Xq G CLIB) and +92=X++X Show that gz indや? X十メ2

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Q: What is Ar as x goes from r=2 to r= 5?

A: Given: f(x)=5x+3

Q: Is the equation Bx = p consistent for all p in R^4? Explain.

A: Not consistent for all p in R4.

Q: Use the one sided Greens function to solve the I.VP. -1 2 In 12, y(1) =0, y'(1)=1 412 y" +8ty' + y =…

A: Given equation is, For solving homogenous equation, By cauchy euler equation,

Q: If L{t2} then find L{r^V2}. 253/2

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Q: find the value of so that ky'=3 at y =1- For --=1 x y O 12 3 O o

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Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: 11. If ARST is isosceles, find mZS. V15x-31) (15 R. (9x+11P T'

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Q: EX show that 2. J능 (x)

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Q: Find &, for f(a, y) = xy? – 4.ry² +x*. 3

A: This question is related to partial derivatives.

Q: Verify by substitution that y(t) = Cekt - b/k is a solution ofy '(t) = ky + b, for real numbers b…

A: The given differential equation is y't=ky+b and the function is yt=Cekt-bk

Q: plé wõi nple would d not expec

A: A sample is a set of individuals or objects collected or selected from a statistical population with…

Q: Find r'(t) = 8Vti + t?Vij + In(z²)k r'(t) =

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Q: "x is between c and d" translates to csxsd O True O False

A: Given query is to find statement is true or false.

Q: Q3) If f(x, y²) = x² + y? + Vxy find : af (x?y) and L(x?y) ду ax

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Q: Suppose s(t) = 12t2t² on the interval [ What is the distance traveled on [1, 5]? Ο Ο 08 O 10 O 16

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Q: Find the degree of Q(V2, V5) over Q.

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Q: Qe if xしz)= 0.5(マ+1) (し2) す! (そ-1)(マ-0.6) |

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Q: 2x tan y + x2ey = 25 %3D

A: Given:       2xtany+x2ey=25   fx=2xtan(y)+x2ey-25=0   differentiating on both sides…

Q: Find the B-C.R Tet Xp Xgq-- He O=Q, ngaint H: O- O, Xp~ Bernoulli H: 0-0

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Q: Q7. V(x, y) = x³ + y³ and x = 2t +r,y = 2t – r , what av? is ? ar

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Q: Q.1) Evaluate # dydx 4

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Q: ex g. y = In ex-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evalu‎ate ∫C (x + 2y) ds, w‎here C is the cu‎rve defi‎ned by y = √(4 − x2), for x ∈ [0, 1]

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Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your…

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.

Q: Is y= X^~2 an expon

A: Given; y=x2.

Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: 4 GuNeer that K 9 laJ ) ficed fle xale of K 2 5,

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Q: 2y is equal to V27x O True O False

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Q: Q2 || Find Def , where ((x) = (x) =

A: The functions are f(x)=1x-1  & g(x)=xx-1 The composite function of f(x) and g(x) is defined as…

Q: If x = t² and y = t³, then y O t 3/4t O 3/t Other: = ?

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Q: If S(r) = 4r and D(t) = 2t + 5, find (S D)(1). %3D

A: Given:S(t)=4πr2D(t)=2t+5 To find: (S∘D)(t)

Q: if it was rexityi+zkand ger)= where r-1F/ The value of vq she

A: The detailed solution is given below Thank you

Q: If x = r + 4u + 2d, determine whether T

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Q: What value of Z will make ADEF AJKI Sy+13 6y 3z 2+22

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Q: Show that || Ar +b|3 cTx +d f(x) = {x |c"x +d > 0}, where A E RmXn, bE Rm, c€ R" and d e R.

A: As per the instruction, we will be solving part (b) of 3.23. We are given the function…

Q: f) VaeA : 3BEB : (3a>b X at&<o)

A: The given expression is: ∀a∈A:∃b∈B:3a&gt;b∨a+b&lt;0

Q: 4. If RSTU is a rectangle with RT = 5x-14 and US = 2x + 10, find x. S R U T

A: We have to find value of x? Given: RT=5x-14 &amp; US=2x+10

Q: Cx)= Ex> is add even?

A: We need to determine if the function is even or odd.

Q: Find all the pairs of integers (x, y) that satisfy 287x – 406y = 27.

A: This is a problem of Diophantine equation.

Q: else where fid the prohabi adicle betwam rn =0.45 d x:0.55 O Jo O Jo lity A friw (x)

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Q: Please see image

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Q: Find and of a = V1-tand y = t - 3t? %3D = -4tV1-t %3D =-4tV1-t 4 4t V1t 4tVT+t

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Q: Every Jeli equad right for Cosels of His to its cocesfonding Cosers H

A: Note: since you have asked multiple question, we will solve the first question for you. If youwant…