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Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

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A: The solution is given as

Q: 2 Exercise.8 Find: P4 (x), Pg(x), L P¾(x) P3(x) dx , LIP,(x)|² dx

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A: We have to solve the differential equation…

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Q: seclyltun Cy) -csc?(y!dy

A: Use formulas of integration to evaluate the given.

Q: AB and CD intersect at point E. If MLAEC = 5x and mzBED= x+ 28, find the value of x.

A: AB↔ and CD↔ intersect at point E and m∠AEC=5x and m∠BED=x+28 We have to find x.

Q: Pro ve 8さt(.)る %3D (Srh)(らtM ー7 \et: ヒこe

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Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

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Q: ctions. Then give the horizontal asyr 4x 37. f(x) = 20x + 1

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Q: According to the method of integration by parts, we have that |(72)"e" dz, with n natural number, is…

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Q: Using the substitution u = 2x – 1, prove that - -3 8 dx 1 (2x-1)3 25

A: The given integral is ∫13x(2x-1)3dx Put 2x-1=t⇒2dx=dt when x=1 then t=1 and when x=3 then t=5 So,…

Q: dy

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Q: 3. From Eq. (1), deduce that U2n-1 2. U2n 2. %D %3D n 2

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Q: Suppose we want to show a classmate the basics of how to integrate with the u-substitution…

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Q: et A be 4X4r nas non-brivial . -son-

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Q: What is tanh (Ei) O V3 V3i O 13

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Q: If | In(ax)dx = 3, then a = %3D 1 ex 4 4. None 4

A: Q1. First option is correct. Q2. Second option is correct.

Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: tan st dt \+9t?

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

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

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Q: in ze2arctao e C Itex) sec (2

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Q: By using Trapezoidal rule, the value of “h" in evaluating (x² – 2x + 6)dx , by taking 10…

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Q: rtain spring 12 in., how far will the

A: Given that the stretch in spring is directly proportional to weight placed at the end. let  w =…

Q: 7. If DE = 11x + 15 and FG = 32x- 27, find DE. %3D D E

A: We are authorized to solve only 1 question, please repost remaining questions Circle property

Q: 4х-6 -dx х2-8х+20

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Q: 8. dy de = azte-c 2-ex

A: To Solve: The differential equation dydx=x2+e-xy2-ey

Q: 3ey , find Given z = dz dz au

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Q: Find nalytical salution to Pnti = (r+)+m possible. an Simplity as much as

A: Given equation is: Pn+1=r+1Pn+m⇒Pn+1=rPn+Pn+m⇒Pn+1-rPn-Pn=m

Q: evaluate the indefinite integral.

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Q: 1 y = -e*(dsin²3x-tanx ³) y'=? 10 (fx +1)

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Q: Evaluate plti 5. S z² dz using the formula [2² dz = A 3

A: This question is related to definite integration, we will solve it using given information.

Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Solve the difterentiol eq uation dR a (RZ+I8) R= 2

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Q: 0.2+ 25x+ 3x2) dx

A: Simpson's 13 rule: ∫abdx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn)   Simpson's 38 rule:…

Q: If [ In(ax)dx = 3, then a %3D 1

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Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: P(x) 1 2 5 6 IRound to fonur darimal nlarae ae neerlad 4)

A: here use binomial distribution with parameter p = 0.7 and n =6 for binomial theorem ,…

Q: In the given figure, PR is 12 more than twice PQ, and QR  is two more than four times PQ. If all…

A: From figure, note that PQ=x. It is given that PR  is 12 more than twice PQ. That is, PR=12+2x. It is…

Q: for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option…

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Q: on to find at the point (-2, 3) dx² on

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Q: 2 If [ In(ax)dx = 3, then a = %3D es 4 e4 4 O None e3 4 e6 4

A: Given that: ∫12lnaxdx=3

Q: Use cubic interpolation method with two points to find uz , where a = 0. 6, h 0.1, ɛ = 0.001 and O'…

A: Cubic interpolation method gives the following formula for evaluation, For, μ2=a(∅')-h1+∈ Therefore,…

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

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Q: 5: Derive the formula for trapezoidal Rule to evaluate ff(x) dx

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