What is the counterexample to show that  x>1/3x is a false statement.

Q: Find simpler expressions for the quantities in Exercise

A: Use the relation between exponential function and logarithmic function a.) 2 ln e 2 ln e = 2 ln e12…

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Q: 7. Apply Lagrange interpolation formula to find k, given that P2(3) = 35 2 5 f (x) 2 k 275

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Q: Of the following, which is the smallest? A) 1.001 x 10^4 B) 1.01 x 10^3 C) 1.01 x 10^2 D) 1.1 x 10^2

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Q: Show in detail that E [(X-µ)^n] = 0 for ∀n , where X~N (µ, σ²) and n≥3.

A: It is an important part of statistics. It is widely used.

Q: 4. What is the coefficient of x? a) in (1 + 2x)117 b) in (2 – x)13? c) in (5 – 2x + y)'1, where y is…

A:

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A: If π1:R→R is the projection onto the first factor, then π1x, y=x, ∀x, y∈R.

Q: Let floor(1) + floor(1/2) + floor(1/3) + …· + floor(1/n) = ceiling(0/1) + ceiling(1/2) +…

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Q: Arg (zz) = 0, whenever :+ 0

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Q: Since it is known that E[X] = 1 , Var[X] = 5, calculate the result of the following operations. a)…

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Q: 1. Integrate the following: Зх +1 a) | 29+30x – 9x²

A: Integration basically means to find the integrals, i,e. to assign numbers to function in such a way…

Q: Suppose we find enough evidence against the H0 below. Write the appropriate step C. N. H0: μ ≤ 8…

A: Suppose we find enough evidence against the H0below. Write the appropriate step C.N. H0: μ ≤ 8A. Ha:…

Q: Given: <5 is supplementary to <4. a. What can you conclude about < 5 and < 3? b. State…

A: Given: ∠5 is supplementary ∠4.

Q: For x=e6t y=531, find y" when y=1- - In 5 ( In 5- 2) 4 - (In 5- 1) 12 O 3 - In 5 (In 5- 2) 2 - (In…

A: topic - derivatives

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Q: This exercise should be done two ways: by hand and using technology where possible. Let 0 -1 1 -1 0…

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Q: (b) Guess the value of x^e-X dx when n is an arbitrary positive integer.

A: ∫xne-xdxlet u = xn+1→dudx = (n+1)xndx = 1(n+1)xndu ; x = u1n+1∫xne-xdx = 1n+1∫e-u1n+1du⇒∫e-u1n+1=…

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A: Given that: 8x-5=2x+1

Q: If Z~N(0,1), then what is Pr(-0.09 < Z < 2.54)? You can use Excel. Enter your answer as a decimal…

A: We have to find given probability

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Q: For all numbers x: Ixl >.. Which is the appropriate counterexample? O 1 O 1 O 2 O 2

A:

Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 4x − 0.2x2 for…

A: The average pollen count in a certain city on day x of the pollen season is P(x)=4x-0.2x2…

Q: 3. Find simpler expressions for the quantities a) elnx-Iny b) In (e(e*)) c) 2lnve

A: To find the simpler expressions we will use the logarithm formulas

Q: In ALMN, LN is extended through point N to point O, m/NLM = (x – 4)°, mZMNO = (4x – 17)°, and m/LMN…

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Q: Evaluate the following (i) (ii) L{t? et cost} Use convolution theorem to evaluate 4 (s2+2s+5)²)

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Q: A useful consequence of Taylor's theorem is that: |æ – c|" max|f(n+1)(2)| (n + 1)! > (æ)"y| (1)…

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Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

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Q: If 2x³-4x² + x + 1 = 0 so x = 4x² - 2x³ - 1 then x5-x4|<e, X4 = 1.36603, x5 = 1.366024, is the error…

A: Given x4 = 1.36603x5 = 1.366024

Q: Show that E(r(r + 1) =- n(n + 1)(n + 2), n E N.

A: We have to show that ∑r=1n(r(r+1))=13n(n+1)(n+2)           ∀n∈ℕ

Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given Given: p= 90+5t⁶+kt⁷9t-t³+t⁷

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Q: Complete the following proof. 7. Given: 6x-7 = 4x- 3 Prove: x 2 Proof Statements Reasons 2. a. b. b.…

A: Using given information I proved 7,

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Q: 10. If h(x) = In(2 – 3x)5, find h' (0) - А. В. 15 С. 2 D.

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Q: Find the following antiderivative: ع 1- کمها شمه | Do not include the constant "+C" in your answer.…

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Q: Using only a simple calculator, find the values of k such that det(M)=0, where M=⎣4 k 0 1 1 k 1 11⎤.…

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Q: Prove that the value of the expression (а — 1)(а — 3)(а — 4)(а — 6) + 10 is positive for every a E…

A: The critical points for the function are the set of values where the function attains its maximum…

Q: 1. Express the following expression in words: D: {x/x € R, x > –4}

A: The expression is D=x/x∈ℝ, x≥-4

Q: Disprove the following statements using counterexample. Explain your answers. 1. x| > 0 4. x>x 2.…

A: As per our guidelines we can answer only three subparts and rest can be reposted.

Q: The table shows two cylindrical-shaped containers that store gelatin. Container 1 Container 2 5cm 6…

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Q: 4 Find the 2nd partiol deriratives of 3x*y+y-4x+7 2

A: According to question, Let fx, y = 3x2y + y3 - 4x + 7

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Q: Is the following valid? true or false 3r m(t) =0.6e' +0.le" +0.2e

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Q: This exercise should be done two ways: by hand and using technology where possible. Let 0 -2 1 -1 0…

A: We have been given the matrix A, B and C as, A=0-10112010B=0-211-1670C=1-1111111