14. Solve the inequality In() > x+1 2 0.

Q: H(x)= In(x+2)

A: our objective is to find x

Q: Solve for r: In(x) + In(x + 2) = 3

A: Use the properties of lograthim and simplify.

Q: 3 1 x + 2. Solve: x² - x – 2 x -2" x +1, and state any NPV's.

A:

Q: 4-The equation x^2+2x-3=O has only one root in the open interval O a. (-2,0). O b. (-1,1). O c.…

A: Thus is a quadratic equation we can find the roots of the equation by solving them

Q: 4 z+9 (z – 2) + 2 (9 – 2) < 18 (x + 1) Enter the exact answer in interval notation. -To enter 00,…

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Q: 1 1. The solution to (x+)+x= is in which of the following 2 4 intervals:

A:

Q: 3. Show that |ab| < form of Young's inequality ] 01a + Va, b e R. [Hint: this comes from the first 2…

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Q: 15 Using intermediate value theorem, the equation x² + = 4x has a solution over O 1,21 O 10,1[ 13,4[…

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Q: STION 16 implify the inequality z² + 2z < 15.

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Q: Prove that for x≠0 the inequality ex&gt;1+x holds.

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Q: A company manufacture two different types of call phone F and E, each unit of call phone S costs (OR…

A: Given that a company manufactures two call phone F &amp; E. Each unit of call phone F costs (OR.7)…

Q: 00 n + 1 Use the inequality |S – SŅl < ÞN + 1 3(-1)" to approximate to four decimal places. n! n = 1

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Q: 5. Evaluate the integral. x+7 (x-6)(r-2)*a

A:

Q: (3) Let X = n(µ,4) and Var(2x) = E(4-7x) find u.

A: Given,X~n(μ , 4)

Q: R is the amount of rain, in inches, on any particular day in 2012, and it is said to be uniform…

A: Wr want to find the probability by chebycheves inequality.

Q: 2. Determine all x ER that satisfy each of the following inequalities. (c) 지 + \x- 1| <3 (d) |x– 1|<…

A: We will find out the required solution.

Q: 14)- Consider the following formula f"(x.) = 4-4o+3f-1 _ 2hfm(c) 6h2 3 Find the optimal h.

A:

Q: (3) Let X = n(u, 4) and Var(2x) = E(4 – 7x) find µ.

A: Given X is normal distribution with  mean =μVaraince σ2=4Standard deviation =4=2 If X has Variance…

Q: 2 12 16 Which of the following is the approximate solution to the inequality Ar) <g(x)? 2.

A: The given function is y=fx-gx consider y&lt;0 therefore y&lt;0fx-gx&lt;0 adding g(x) to both sides…

Q: 1. Expand (r+ 1)(x – 2)(x + 3)

A: We will explain this using commutative law and associative law of multiplication.

Q: 4. Use the definition of "f(x) is 0(g(x))" to show that 2* + 17 is O(3*).

A:

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: 11. Evaluate the integral. +3 x² + 4

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Q: Show that for any 1 ≤k≤n. T (1) = n²(n²-1²)...(n² (k − 1)²) 1.3.5 (2k-1)

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Q: 9. Solve In (x+5) 2 2. O A. (x | x 2 12.3891} B. (x | x 2 2.3891} O C. (x |xs 12.3891} O D. {x |x s…

A: Given:         ln(x+5)≥2

Q: 4. Find all values of x satisfying In[(2x + 1)(x +2)] = 2 In(x+2). Verify the values of x you found…

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Q: 1. Find two positive numbers such that their product is 192 and the sum of the first and thrice the…

A: We have to use the application of derivatives to solve this given problem

Q: Show that when x increases from 1 to 1.25 and when it increases from 2.75 to 3, the value k of grows…

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Q: 3.41 Show that the Neumann problem in r'+ y<1 -2 an on x+ y = 1 does not have a solution.

A: We will use greens theorem

Q: 45. Let f(x) = e¯* and T3(x) = 1- x + Use the error bound to show that for all x > 0, x4 If (x) –…

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Q: D. Find (with proof) the infimums of the sets S = {1 / n:n e N} and T = { (-1)" / n :n e N}. Is…

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Q: 6. Show that the half open interval [0, 2) is uncountable. (Hint: We know that (0, 2) is uncount-…

A: Since the interval (0, 2) contains the infinite subset {1.2,1.3,1.4,...} So (0, 2) is either…

Q: Suppose that a random number  is chosen from the interval (0,2). What is the probability that the…

A: Given: The random number is chosen from the interval (0,2). Quadratic equation is 4x2-x+k

Q: Consider the following LP Min z = 3x, + 2.x, +7x, s.t - x, + X, =10 -2x, + x, - x, <-10 *,X,,x, 2 0…

A: Hi! As per norms, we will be answering the first question. If you need an answer to others then…

Q: 8. How many integer solutions are there to the inequality Y1 + y2 + Y3+ y4 0, 0 < y2 ≤ 10, 0≤ Y3 ≤…

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Q: Prove that for x&gt;0 the inequality 1+2lnx≤x2 is true.

A: Inequality given in the question is: Consider the function; f(x) = 1+2ln(x)-x2 Let us find critical…

Q: 1. Find two non-negative numbers such that the product of the first squared and the second is 108…

A: 1) Given data:   The given expression for the product of the squared of the first number and the…

Q: Solve the equation for x In(x+ 1) + In(x – 1) = 1

A: Solve the equation for xlnx+1+lnx-1=1

Q: 4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is…

A: The given function is,

Q: solve for x if CDy=4(x-E)

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Q: 0 0 which satisfies the implication when N = 2022. (ROUND TO FIVE DECIMAL PLACES WHEN NECESSARY.)

A: Let f(x) be defined for all x is not equal to a over an open interval containing a. Let L be a real…

Q: 1 In the interval -T, 7| the equation sin x = (a) has an infinite number of solutions O (b) has two…

A: This question is based on general solution of Sine function.

Q: Solve the following inequality algebraically. Show your work on a separate paper. |x-2|29

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Q: 8) Find what va lues of x salisfy the fellowing inequality: 3x -1 >2 2x +5

A:

Q: Let " - y' + 21 = In(t – 1.)the longest interval the solution is sure to exist (0.1).

A: Here is the solution of the given problem.

Q: Ivy is not sure whether a particular c the coin is not fair if she observes 4 4.24 and alternative…

A: Ans:

Q: In 10-11, solve the following inequalities for the given function f(x). (a) f(x) > 0 (b) f(x) 2 0…

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Q: The inequality sec x > 1 + (x²/2) holds on (–7/2, 7/2). Use it to find a lower bound for the value…

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Q: of dr? e-ex

A: