Show that E[X]= a +V and o = b 4 4 -

Q: The linearization at a=0 to √2+5x is A+Bx. Compute A and B

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Q: Compute /16-³ dac

A: Solution of given question is written in below steps.

Q: End Behavior y

A: graph of the function is given, we have to find its end behaviour.

Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: Find f(x).

A: Given,

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: Let f(x1, x2, X3)=( x1³ + x2, x1² + x3). Find df(1,2,3)(-3, –2, –1).

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Q: Evaluate f 3 Vx dx. x+1

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Q: 1. Let x=(x) = (². Find xif 8. Exercise (2) ܘܚܢܟ b. x n

A: Given Data: Let us consider the given data, x=xn ∈l2. To Find: a. xn=212n b. xn=1n

Q: bag

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Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x>0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: Find Vf(a), given the following data. 91 Calculate 91, 92 and 93 such that Vf(a) = 92 93. 91 92 93 =…

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Q: 3. Sx³dz

A: Let I=∫x3dx1+x2.

Q: Y/9-2/5=1/3 Show also the checking

A: Solve and check the equation Y9-25=13.

Q: Find f(2 x* - 3 V) dx.

A: Given : ∫2x5 - 3xdx

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

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Q: Show that if ƒ (z) = C where C is a constant, then f (s) = C/s for 8 > 0.

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Q: 2. fote-t² dt

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Q: Show that A (B × ℃) is not equal to B · (À × ℃)

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Q: Which of the following is not a function of x? Vx-4 a b x* +y = 4 C xy = 1 x² +y? = 1 d. %3D y = |x|…

A: Solution Y is a function of X if we can find it uniquely by x.

Q: 5. Assume that V × F = V × G. What is the most general relationship between F and G ?

A: ∇ x F = ∇x G => ∇ x (F - G) = 0

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: 2-2x find (fif) G) to use f Cx) = x

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Q: Find the following. Let f(x)= x+1, g(x)= 2x, and h(x)=x-2. a. (h o h) (x) b. (f o g) (x) c. (g o h)…

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Q: 2 Suppose y is a function of x such that y * and y(4) = -3. Find y. |

A: The differential equation is given by y' = 2x                                   .......(1) Initial…

Q: Differentiate w.r.to "x" y = xsin-1x +x/(1-x3)

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Q: 5. Find the inverse of f(x) = Vx+2.

A: f(x)=x+23To find: The inverse

Q: .7 Evaluate ſ x³tan-1x dx.

A: The integral is given , ∫x3tan-1x dx. Solve the integral by integration by parts, ∫x3tan-1x…

Q: Find xy2 √ R x2 1 x²+1 dA, R= [0,2] x [-4,4]

A: First, we need to identify the limits of integration. The rectangle R is defined by the vertices…

Q: Suppose that Y = Z - X is independent of Z and of X. Show that Y is a constant.

A: Given that Y=Z-X. To show: Y is a constant function.

Q: Let P(A) = 0.4 "and " P(AU B) = 0.6. For what value of P(B) are A "and " B are independent?

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Q: 5. Prove that xdx a b²_a² 2

A: According to guidelines we are supposed to do first question only. Kindly repost the other question.