Let X is p.d.f and 0 < x < 1, f(x) = Vx, E(x) + E(2x) %3D =......... A) 2 B) C) 3 D) e

Q: Let f : R R:f(x) = 10x + 7. Find the function g : R→R such that gof = fog = IR. %3D %3D

A: Given f: R -&gt; R  such that f(x) = 10x + 7 and  g : R -&gt; R such that g o f = f o g = IR

Q: function f is defined by f (x) = |x – 2|- 3. If f(a) = f(0) and a > 0, what is the value of a ?

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Q: Let X be the number of minutes that it takes a random selected student to solve a mathematical…

A: We want to find mean and standard deviations

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

A:

Q: The Canonical form of a hyperbolic PDE is Ugn = F (§, n, u, ug, un)

A: "TRUE" The pde is hyperbolic (or parabolic or elliptic) on a region D if the pde is hyperbolic (or…

Q: Given 5 O a.) 5 O 5 f(x) dx = 12 and 6 [3f(x)+2g(x)]dx + f(x)dx O O b.) 10 c.) 40 5 d.) 32 = 12 and…

A: I am attaching image so that you understand each and every step.

Q: find FCx)= (i)G)", X =0,1.2 .

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Q: Let f e E(0, ox) and let a be a positive real number. Define the function fa as follows Sal) = {";…

A: Properties of Laplace transformation

Q: 5) If f(x) 8, what is the value of f()? 1 A) C) B) 2 834 - 20N

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Q: vx(A x s) = (B · v) A - (a.o)o +a (v-t) – 3 (v. A) %3D

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Q: (In æ)" Find y'. Let y = e" + 2

A: Explanation of the solution is given below...

Q: ("PanV (qA"r) T T T T T F F F T. TFT T. F PLEASE FOLLOW THE FORMAT/TABLE GIVEN

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Q: The domain of the function f(x,y)= V1-x²-y² +In(x²+y² – 1) is empty Select one: O True O False

A: we have to find the domain for f(x)

Q: B. Can the proposition (Vx, y, P (x = y) → (P(x) → P(y))) be proven using the equality axioms?

A: Look at the following equality axiom. ∀x,y, and any function f,x=y⇒fx=fy

Q: Find a ≤ b such that

A: ∫abx2-9dxApply the Sum Rule:…

Q: Find ||F||. F(x, y, z) = i + j + k

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Q: a) Find fxVx + 2 dx b) Find fevx dx c) Find x3 In x dx

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Q: Porcelain figurines are sold for $10 if flawless, and for $3 if there are minor cosmetic flaws. Of…

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Q: (iv) Prove that for any sets A, B,C we have A U (B nc) = (AU B)n (AUC)

A: To prove:- Prove that for any sets A, B, C we have AU (B∩C) = (AUB)  ∩(AUC) Method :- I use venn…

Q: Which of the following is the parent function for a) f(x) = x b) flx) = x c) fx) = Ix| d) flx) = Vx

A: Given function is y=23x2. We have to find the parent function of y=23x2. The parent function is…

Q: the tables below: 2) INPUT OUTPUT F(x) -1 648 1 216 72 3 37 4 I noticed that... 2.

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: The domain of y = v2 – x is A. (-0,2] B. (-0,00) C. (-∞,2) D. [2,0) E. 0

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Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

Q: Out of a student group of 85 people, 39 people play basketball, 42 people play football and 25…

A: Introduction: Define the following events: B: Plays basketball; F: Plays football; T: Plays tennis;…

Q: fa family now li wo years from now? A suburban area? A rural area? uppose that at present, 40% of…

A: .

Q: d) Find E[X(2X² - 3) + 10].

A: Pdf of X is f(x)=4243(27−x3) , for 0&lt;X&lt;3

Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: The function?n f(x)=/x) is odd or even?

A: Remark: Even and odd function: A function f(x) is said to be even if f(−x)=f(x) , and it is odd if…

Q: ® let the functions: 4:R-A gR-R,with こXe2 Prove that: Tx(4g) =4Vxg +CVf)xg

A: Given two functions: f(x,y,z)=x2eyz3, g(x,y,z)=(x2z2,-xyz,y3ez) To prove  ∇×(fg)=f∇×g+(∇f)×g

Q: Let flis) =4x %3D a.) find f(x+h b) find fx th)-fs) C. find flxih-f d) find f'Gx)

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Q: If | f(X) DX = 37 and g(x) dx = 16 | 2f(x) + 3g(x) dx is equivalent to: so 0.

A: