1. GE = 2x – 7 and GF = x + 4. What is GD?

Q: 14. Solve the following equation for all value(s) of r. x+1 1 28 x-3 x+4 x²+x-12

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Q: (a) y=e**' In(x² +2) 2+w? (b) f(w)=ln. w -2

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Q: Find 2 and z if z is defined implicitly by the equation ду x² + 2xyz + y° + e² = ln 4

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Q: 1 t² dt 4 0.

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Q: 7) إذا كان( ,4)x~b فأن ((P(x( < E(x هو : ب) 0.5123 0.2531 (¹ 0.1532 ( 0.3125 (

A: Given;x~b(4,12)  i.e. x has binomial distribution.where n=4  and p=12find P(x&lt;E(x))=?

Q: Express the statement as a formula that involves the given variables and a constant of…

A: It is given that, y is directly proportional to x and inversely proportional to the square of z.…

Q: 5 2 11 what is 3 Given that f(æ)dæ : f(s)ds?

A: We will use the following 2 properties of definite integrals to find the answer

Q: 7. Find the value of h(2) given that (ho gXx)= 4x +4x+4 and g(x) =2x + 1.

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Q: 4.2 Apply the appropriate method to calculate the following: 1 = f***-8 I = S x2-4

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Q: In z dz z4 e

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Q: NO.4 DE. 2.1 In the following problems, eliminate the arbitrary constants by any of the three…

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Q: Find g'(3). g(x) = In(1+t) dt In(4) 6ln(10) O In(10) 3

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Q: E (2n – 1)x" n=1

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: 15 ven B = Find the components of -3 relative to B. 2

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Q: 3.4.2 Assume that Y, the number of minutes it takes you to eat lunch on an average day, is equally…

A: We can assume that Y~ Uni(a, b) where a=30 and b=40   We know that f(y)=1b-a        for a&lt;x&lt;b

Q: 2 Calculate e(0) and e(0) for 1.98z E(z) = (z? – 0.9z + 0.9)(z - 0.1)

A: Ez=1.98 zz2-0.9z+0.9z-0.1Now put the value z=0E0=1.9×00-0+0.90-0.1=0Becouse 0x,x≠0⇒0Now E(z)=1.98…

Q: e 12t dt 31. 4et -1

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Q: S[e²t. √4+e²] dt

A: Evaluation of the indefinite integral, by using substitution method

Q: (e) Yk+1 +Yk = 1/k(k+1),

A: Given, yk+1+yk=1kk+1Substitute:yk+1=y'yk=yEquation formed is:y'+y=1kk+1A first order separable ODE…

Q: 6. y = c¿e™* + c2e* Cze*

A:

Q: In approximating the population in terms of t, P(t) = P(0) - tP'(0). If the current population of a…

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

Q: 8. Solve the following LP algebraically. a. Max Z= 150X+ 160Y subject to: X+Y 20 Y>15 X, Y>0

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Q: 9. Approximate both solutions of e* 5x to three decimal places

A: Given, The two curves y = 5x   and   y = ex   We have to find the solution of  ex = 5x  graphically.…

Q: 4. Give the graphical significance of the constant k for the equations of the form y=(x-h)³ +k

A: Given curve is y=(x-h)3+k

Q: 1. Eliminate the arbitrary constants on the given equation: Y = Ae" + Bxe™

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Q: = 1 – 3, h(x) = VT, then If f(x) = x* + 6, g(x) fogo h(z)-

A: Find your answer below

Q: 1) = 2 – E 4x and g(z) = z +

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Q: Solve e = 1 + V3i for all values of z

A: Given,              ez=1+3i

Q: Calculate the following assuming that E[X] = −2.3 and V ar(X) = 12.1. (a) E[5X − 2] (b) Var(−3X +…

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Q: .3 S(3 – e3*)²dx

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Q: 10. 3y 2 M(1;1) 11. g =2ry+1;M(0;0) 12. rdy – xdx =ydx. x3 I

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Q: 1. Given the following SIR diagram, where h are some costly self-protective activities that people…

A: (a)  From the diagram, Since the susceptible is increasing, birth is increasing and death is…

Q: (10) Solve the given BVP by using Green's function: ; (ii) y" – y/ = e2; y(0) = 0, y(1) = 0

A: Given differential equation is: y''-y'=e2x y(0)=0y(1)=0 Green function in equation is given by:…

Q: 5. Imagine that the number of COVID-19 cases is increasing according to the following equation,…

A: If we look at the graph

Q: 1 x? + k by considering several cases for the constant k.

A: Let k be equal to a2. k=a2a=k Use the formula ∫1a2+x2=1atan-1xa ∫1a2+x2=1atan-1xa∫1k+x2=1ktan-1xk

Q: 6 6 If f(x) dx = 33 and g(x) dx = 14, find | [3f(x) + 4g(x)] dx.

A: We know that, for a constant k, ∫k·fxdx=k∫fxdx        ⋯⋯1 We have, ∫06fxdx=33 and ∫06gxdx=14

Q: 5. Give the graphical significance of the constant a for the equations of the form y-a(x-h)²+k.

A: We have to discuss the graphical significance of given equation.

Q: Calculate E(X³), where X has the following PMF: .5 x=1 f(x)=.3 x=2 2 x=3

A: Given that  PMF of X is  x 1 2 3 f( x ) 0.5 0.3 0.2

Q: (a) Solve the following linear equation by Cramar's rule:-

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

Q: 1. If rxty = +1 and rx2y = -1, can you tell what happens to ry when we combine x1 and x2 into a new…

A: The correlation coefficient is used to calculate the linear relationship between 2 variables.…

Q: 8. Given av av 25202v ат +S as² as find a change of variable of S to x(S) so that this equation has…

A: Solution: Given ∂V∂τ=2S2∂2V∂S2+S∂V∂S-V given condition is a change of variable of S to x(S), So our…

Q: If y = Eo(k + 1)z*+3 then y' = .

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Q: Solve e = 1+ V3i for all values of z

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Q: b. y = e-2x @x, = In 2

A: Solution

Q: y = c,e2x + c2xe2x + C3x²e2x

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Q: The population of two different species are given by P1 P1 = 4e0.6t - and P2. where t is measured in…

A: The population of two different species are given by, P1=4e0.6tP2=9e0.4t

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: 1/2 b) What is ||x|| = (E\x|* )" if x = (x1, X2, X3, ….) where xn 2-n/2 and xn = =? %3D n

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Q: ∫ 3e^(5t) dt

A: The given integral is ∫3e5tdt

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.