If Var(X+Y) = 3, Var(X- Y) = 1, E(X) = 1, and E(Y) = 2, then E(XY) %3D 5/2 1/2

Q: X+y+ 2 =3 Z = 3 X+5y- 2x +2y-42= 3 %3D %3D

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Q: The integrating factor of y= 2x' is dx

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Q: 5(2) = 1 If then 2-3z f(r +h) = 1 23-3r2+hz² –3hz 1 12+2xh-3x-3h+h? I+h 12-3x 1 12-37-3h+h²

A: We use (a+b)2 = a2+2ab+b2

Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

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Q: If f (x) = x + 1, and g(x) = 2x, then f (g(x)) = [ ? ]x +[ ] %3D Enter

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Q: 2. If F' =fand f(x) = 18x 12x+ 2x, which of the following could be F(x) ? %3D %3D - (A) 3x° – 3x* +x…

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Q: If P(A) = 0.35, P(B) = 0.87, and P(A or B) = 0.93, then P(A/B) = (Please round to two decimal…

A: According to the given information in this question We need to find the following probability

Q: The function f(x) is a translation of the expor function g(x) = 6×. What's f(x) if the translatic…

A: Given:- The function f(x) is a translation of the exponential function g(x)=6x We have to find the…

Q: If a(x)=2-8x, what is an equation for a-1(x)?

A: Given: a(x)=2-8x To find the inverse replace a(x) with y. y=2-8x

Q: O y =2x + 3 O y = 1/2x + 3 O y= 1/2x-3 %3D y = -1/2x - 3

A: Given graph is

Q: I already started this question but I’m confused can you help me with the whole thing for me please.

A: We have to solve

Q: If f(x) = 3x³ + 1 and g(x)=2x-1, then g(f(-1)) = −5 . true false

A: f(x)=3x3+1 g(x)=2x-1.

Q: if Pga)ろ-2X+ 6 and f(x)= /x Rind g(x) )-? %3D

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Q: If F(x) = x2 - 3x + C and F(-1) = 4, what is the value of C?

A: Given: Fx=x2-3x+C  and F-1=4

Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: f (x) = (x³ – 5x + 2)(x² + x – 7); find f'(x) %3D

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Q: 1. f(x)=-2x²+x-1 a) f(0) =-| %3D b) f(-1)=- c) f(-x)=-X- %3D d) - f(x) = | e) f(x+1)=-3 ) f(2x)= -…

A: 1.    fx=-2x2+x-1   a) On putting x=0                         f0=-202+0-1      =-1  b) On putting…

Q: 1. y = 4* y = 1. • 3* %3D 3. f(x) = 3*+ 1

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Q: -x+y+3z = 3 x+2y-z 0 3x+2y %3D -5z = -2

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Q: f(x) = 3 IS %3D 3(x)ミVX |(90gl0) = ?

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Q: If f (x) = 2x2 - 5z, solve f (x – 2). %3D

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Q: If f(x) = x2/(4 + x), find f "(2). f "(2) =

A: f(x) = x2 /(4+x)  f'(x) = [(4+x)(2x) - x2(1)] / (4+x)2  = (8x+2x2 - x2)/(4+x)2 = (8x+x2)/(4+x)2…

Q: f(x) = 8Vx + 1; g(x) = x² + 9 %3D

A: Given: - The functions are, f(x)=8x+1 and g(x)=x2+9 To find: - The value of f∘g and g∘f

Q: Data on alcohol content and wine quality was collected from variants of a particular wine. From a…

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Q: 3. 4x – 2(x + 1) = -76 abnoa %3D

A: This is the linear equation in one variable  and can be solved easily.   4x - 2(x+1) = -76  4x - 2x…

Q: If P(A) = 0.53, P(B) = 0.3, and P(A and B) = 0.15, then P(A/B) = (Please round to two decimal…

A: P(A)=0.53P(B)=0.3P(A and B)=0.15

Q: Data on alcohol content and wine quality was collected from variants of a particular wine. From a…

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Q: If f(x) = x2 is translated 3 units to the right to form g(x), which of the following %3D equations…

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Q: If f(x) = x* + 8, g(x) = x – 7 and h(x) = Va, then %3D - f(g(h(x))) =

A: NOTE: Refresh your page if you can't see any equations. . given functions are

Q: -7x+/y=-19 -2.x+ 3y =-19

A: Given query is to find the solution of system of equation.

Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: Suppose X and Y are independent variables such that E[X] = 2, E[Y] = 3, E[X^2] = 9 and E[Y^2] = 15.…

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Q: Question 7 Evaluate | (6x² – 3x2 + 5) dx (A x3+ 3x-1+ 5x+ C B 2x3+3x-1+5x+C 2x3+ 3x -1+x+C…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.