Q=[X1,2,3,X2,5] A. length(Q) B. Q(1:4) C. Q(5) ==0 D. max(Q) E. sum(Q) F. Q' H. sort(Q)

Q: If R = [-1, 3] x [-1, 1], use a Riemann sum with m = 4, n = 2 to estimate the value of (y2 - 2x3)…

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Q: Sin (n+))x Conv. unif nナノ on Prablem (5) Is the senies

A: The given series is: ∑n=1∞sinn+1xn+1 The given interval is: 0,π

Q: 35 Find the extrem poinbs of Pcxy)=xy Subject to X+y=20.

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Q: s given by L2)- by L)= this income m Suppoce the Lorenz cunve for a country is 1-- Determine the…

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Q: dn-1 for all n E Z with n > 2. Prove that for a 2. Let d = 2, and d, neN, d, =. %3D %3D %3D

A: Mathematical Induction is a special way of proving things. It has only 3 steps: Step 1: Show it is…

Q: & b. su j+ byz²

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Q: 2. M is at -2 and N is at 14. Find the point X so that X partitions M to N in a 3:1 ratio.

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Q: a+, 3. f(1)=1** +a cosh /21 +bsinh /21 f(1) =2cos" (21) +e² 4.

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt, since the dimension of…

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A: We have given geometric distribution and two statistics associated with it and we have to check…

Q: 1.Using finite difference method, solve y" - 64y + 10 = 0, y(0) = 0, y(1) = 0 by subdividing the…

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Q: N(t) = −0.8t^2 + 4t + 11; 0 ≤ t ≤ 6 Find the smallest value of N(t) over the interval 0 ≤ t ≤ 6

A: Given,

Q: If X is uniform in the interval [-3,3] compute X(i.e. E{X}) and o² (i.e.E{(X-X)²}).

A: Given that X ~ U[-3,3] to find mean and variance

Q: Use Euler's method to obtain a four-decimal following: approximation for t (4 y=2Xy, yC)=1; yU5) =?…

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Q: Using R.K. method of fourth order, find y(0.8)correct to 4 decimal places if y'-y-x v(0.6)=1.7379

A: Given y'=y-x2  y(0.6)=1.7379. Using R.K method of fourth order, we need to find y(0.8)  The solution…

Q: eiw Фx (») %3D 1+ 4w? 11) Prove that the mean of X= 1.

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

Q: If Pn is the sum of a G.P. upto n terms (n > 3) such that (1 – r) dP, aPn-1+ bPn, where r is the…

A: Introduction :

Q: 8. What is the rate of change of the edge length s of a cube Vith respe ds С. ds D. dV 1 ds В. dv…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a. Use the Bi-section method, to approximate v2 in three steps in the interval (1,2| (use 3 digits…

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Q: Prove that in the pairs of positive numbers ¤, y for æ² + y° = r the sum a+y is greatest when z = y.…

A: Here we solve the given problem of calculus.

Q: O we N. P.M. to estimate the root of -X for on initial guess of Xo

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Q: 2) Eliminate the arbitrary enstant, 4 y= x*+ Cix + Cz e-X

A: Given problem:- Eliminate the arbitrary constants. of y= x² + C₁x + C₂ e-x

Q: p = m(1-dt) for d (buisness)

A: In this question , we can solve for 'd'.

Q: 2n P(X = n) = c, n= 0,1, 2, .. n! a) c sabitinin değerini bulunuz. b) P(2 s x < 3) =?

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Q: 2. Find y' (a) by applying the Product Rule (b) by multiplying the factors to produce a sum of sim…

A: In this question, the concept of derivatives is applied. Derivatives We can use a derivative to…

Q: Q.5 Use both trapezoidal and Simpson's Rule to evaluate |(² +1)° dxby taking n=4.

A: We have to find integral of given function by using Trapezoidal Rule and Simpson's Rule.

Q: Bi(n, p) and using the MGF compute Derive the moment generating function of X E[X] and Var[X].

A: Given,A random variable X~Bi(n,p)P(X=x)=nxpxqn-x    ;   X=0,1,2,.....nand q=1-p

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: Compute R6, L6, and M3 to estimate the distance traveled over [0, 3] if the velocity at half-second…

A: Compute R6 as follows. R6=0.5 v0.5+v1+v1.5+v2+v2.5+v3=0.5 15+18+25+19+14+18=0.5 109=54.5 Thus,…

Q: e. y= (x² + 4)/x in the interval 1<x<4. 8+ 4ln4 - % s.u ans.

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Q: Boyle’s Law for a certain gas states that pv = 200, where p denotes the pressure (lb/in2) and v…

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Q: convcrges for all r. n! n=1 Σ 24. Show that

A: To show the series∑n=1∞rnn! is convergent for all r; ratio test can be used. Ratio test rules that…

Q: Find length of the cardioid r=a0³from 0 = 0 to 0 = n %3D

A: Length of the cadioid is given by below formulaLength = ∫0πaθ3dθ

Q: 6. Suppose that we don't have a formula for g(x), but we know that g(2) = 4 and g'(x) = Vx2 + 5 for…

A: given   g'x=x2+5

Q: Two resistors R¡ and R2 are connected in parallel. Let R1=(100k ± k)N and R2=(200k ± 2k)Q. Determine…

A: Given                                                          R1=(100k±k)ΩR2=(200k±2k)ΩRp=R1R2R1+R2…

Q: (14) Approximate S, x² ex², Using Simpson's rule dp,

A: Simpson's rule is a numerical method used to approximate the definite integral which represents the…

Q: 4. Secant 1: External Segment Length= Total Length = %3D Secant 2: External Segment Length= Total…

A: According to the secant secant theorem, for a circle with secants A-B-C and E-D-C intersecting at C,…

Q: it is unbaised estimated of a Then Show That ta is baised estimated of O2.

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Q: 00 for For two independent lives age 40, you are given that H40(t) t< 60. Calculate Var(T40:40). %3D

A: It is given that two independent lives age =40. Also given, μ40(t)=80-t for t&lt;60. μ40(t)=80-tt…

Q: Suponga P(Z,=K) = 2 Determine la distribucioñ de Zn. Ejercicio (DistrbugER del proceso de…

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Q: 2 T for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no Using Trapezoidal…

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Q: In a simple electric circuit, Ohm's law states that V=IRV=IR, where V is the voltage in volts, I is…

A: Application of derivatives

Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

Q: 3 A body moves along a horizontal line in accordance to s t + 912 + 24t. Find the total distance…

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Q: 3. If f(x,y,z)= In 4 xyz Ite t3y:²s²) , find f,,f, and f..

A: Given that: f(x,y,z)=lnxyz4+e-(3xy2z2)

Q: 1. y(IV) – y = 0 1 y(IV).

A: The solution is given as

Q: B. For the Pearson coefficient r, find sum((L - X) * (L2 - Y)/(24 * S * T) | and store this as R

A: Given, Age(X) BMI(Y) 25 30.5 42 34.3 26 23.1 42 34.7 58 39.2 32 30 24 37.6 21…

Q: Two real numbers X and Y are chosen at random in the interval (0, 1). Compute the probability that…

A: Selecting two points x and y from the interval (0,1) is identical to selecting a single point from…

Q: c- Verify Clairaut’s Therom f(s,t) = s²t + In(t²-s)

A: In the question it is asked to verify Clairaut's theorem for the following function given in…

Q: The sum of Hthe first S=3n²+4a fFinal+he li mit an is nlmits ofar plogression an arthmctic

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