Find the value of r if Σ > 7rk-1 = 21 %3D k=1 8.

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: Solve the following 2nd order D.E: y'' + 2 y' = x^2-e^x

A: given ,         differential equation,   y''+2y'=x2-ex

Q: Solve the following D.E 3) у" — Зу %3D 0

A: Given:    yy''-3y=0    solve the differntial equation.Concept:- D.E can be solving by writing…

Q: tlowing is I equivalent 8 So 长-St e "e cost dt?

A: we know that Lft=∫0∞fte-stdt

Q: А- If v = t". et. Find the value of n, which satisfies the equation ar (r2 = r2 dv at

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Q: Find the measure of DF if E is the midpoint of DF given that DE = 2x + 4, and EF = 3x -1.* 14 28

A: Since E is the midpoint therefore DE = EF

Q: Given that x and y vary inversely and that y is 24 when x is 8, what is the constant of variation,…

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Q: h is jointly proportional to q and v. It is found that q = 9 and v = 8 when h = 3. k =

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Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: the significant figures for the following approximate values. (a) x = In(3), xa = 1.098 (b) x =…

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Q: Find the measure of KL. J 14 K 24

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Q: Solve the ff. ( Inspection )

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Q: Q2. If the solution of the below first order D.E is y = Cefxy) (x + xy?)y' = y3 Find the f(x, y).

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Q: Find D (x") where m, n E N. Distinguish between the cases where m>n; m = n; and m<n,

A: To distinguish between the given cases :-

Q: Based on the results obtained, does listening to music lower oxygen consumption? Test hypothesis at…

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Q: 2 b) If it exists, then the value of e4* dx = is:

A: To find: The value of the integral ∫-∞2 e4xdx. Concept used: The exponential function approaches as…

Q: For x=e2 y= In 2t, find the value of k so that ky'=1 at x=e

A: Given: x=e2ty=ln 2t

Q: The table shows the scores of two students in Mathematics and English in 2-item seatwork. Englishty)…

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Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: Q2. If the solution of the below first order D.E is y = C ef9) (+xy)y=y Find the f(x, y).

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Q: Find the sum of the scries (ii) E (n + 3)x"

A: The given series are  ∑n2x+5n  and ∑n+3xn To evaluate the series.

Q: (c) For what value of t is p(t) = n(t)?

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Q: Find the solution of given D.E x?(1 – x)?y" + 2xy' + 4y = 0 |

A: Given:- x2(1-x)2y''+2xy'+4y=0 ⇒y''+2xx2(1-x)2y'+4x2(1-x)2y=0 Standard form…

Q: Find based on the given information. y = e 5y +3 = x

A: Solved below...

Q: Find the antiderivative of g(t) = 2t2 t3+1

A: Topic:- integration

Q: Detailed derivation is required. 3 F(s) = s (s*+28+5)

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Q: The density of a rock will be measured by placing it into a graduated cylinder partially filled with…

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Q: (a) Find the effective noise Temperature Ts of an equivalent resistor with resistance equal to the…

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Q: 24. How many df do you have in this Repeated-Measures design?

A: The sample size n is 7.

Q: What is the value of î · (j × k)?

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Q: Suppose a E R, where a > 0, a ± 1, what is[a*]? d @ xa²-1 xa"-1. In(a) © a² a* In(a)

A: Use logarithms to find the derivative.

Q: For a bivariate analysis involving the two variables X and Y, if E(* – a)(y - 9) = -76, n = 33, S =…

A: It is given that, ∑x-x¯y-y¯ = -76, n = 33 Sx =1.54, Sy =2.40,

Q: the Pollowing D.E So Ve 3メ 12 X +3 =e |

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Q: A 3x E 14 18 B 4х- 1 D. Kenny's proportion is set up below. Why is his proportion incorrect? 3x 18…

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Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: Given dp/dt=cp(1-p)-ep. Given that p represents the fraction of islands occupied, 0 < p < 1. Let c…

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Q: If X ∼ Geom(p), what is the most probable value of X? a) 0 b) 1/p c) p d) 1 e) (1 − p)/p²

A: Geometric distribution In series of Bernoulli trials, the random variable X denotes number of trials…

Q: Determine the value of k if |I +k dx = 2.

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Q: For what value(s) of k will y 1 be a solution of ty" + (t – 3)y' + ky = 2te¬2t? e2t

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Q: 1) Find the value of e0.75 using first-through fifth-order approximation.

A: The Taylor's series expansion of a function f(x) about a point x=a  is given by;…

Q: S„Xg (x)dm , where E = { x : x € Q , -1< x<1 } %3D

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Q: For this problem, involving a weighted die. assume that all the odd numbers are equally likely to…

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Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: Find the length of DE. Given: DE || GH;EH = x; EF = 2x E 4у — 6 Зу— 18 H. 2x F

A: It is given that, DE∥GH , EH=x ; EF=2x We have to find the length of DE.            Given that,…

Q: ou have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly…

A: First we find the critical value of z at 5% level Using Excel function NORMSINV(0.95+(0.05/2)) =…

Q: Find the solution of the following: 3. y' + ky = e-(kx)

A: The objective is to determine the solution of the differential equation y'+ky=e-kx The auxiliary…

Q: F.n) ds, w e given by

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Q: E Solve the following equation for x. y 4 In(e+7) %3D

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Q: of the following models: y = a (1 + r)', y = a (1 – r)', A Pert

A: If the interest is compounded continuously then A=Pert substitute the values…