Which of the following is the solution set of In(5x – 7) < In(2x + 8) (5, 00) (-00, 5] (-00, 5) [5, 00)

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

A: Use the properties of lograthim and simplify.

Q: Write out explicitly and simplity possible as h= 5 n!

A: ∑n=0n=5 n2n!=?

Q: is a solution of 2x-6x2+7x-33D0. 2 Prove that x 1-

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Q: Show that (k^2 * (k+1)^2)/(4) + (k+1)^3 is equal to ((k+1)(k+2)/2)^2

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Q: What two nonnegative real numbers a and b whose sum is 23maximize a2 + b2? Minimize a2 + b2?

A: Given that real number a and b whose sum is 23ie   a+b=23⇒b=23-a-1Let S be the sum of their…

Q: The set of of solution of x2 - 5x+ 6 0 in Z12 is (a ).{2,3,4} d){2,3,6,11} (b) {2,3} (c) {.2,3,6}

A: Hence option (b) is correct.

Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that…

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Q: There are 5 types to solve linear diff. eq. of first order * True False

A: Given that , Linear differential equation-A linear differential equation is defined by the linear…

Q: 11. If AJKL - AMKN, find the value of x. 12 N 20 x+1 Зх - 2 J

A: It is known that in a pair of similar triangles, the corresponding sides are proportional. It is…

Q: 2- M ke 2.

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Q: Verify that 2. 1 Hint: Consider x 0, x 0 separately

A: To verify

Q: (-2 if XS-1 S(x) = {x² -3x+8 if if -1<x<2 x22

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Q: Compute A−2 two different ways and show that the results are equal.

A: Given: To Find: A−2 two different ways and show that the results are equal.

Q: hat 6.x 7x - r+ 2 = (x - 1)(ax + bx + c) -

A: 14)  Given equation is 6x3-7x2-x+2=x-1ax2+bx+c Evaluate this…

Q: For each positive integer n, find the number of positive integers that are less than 210n which are…

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Q: , x); R = [0, -) D) D = (-, x); R = [-10, -)

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Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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Q: Show that if ax2 + bx + c = 0 for all x, then a = b = c =0

A: It is given that, ax2+bx+c=0 for all x,  To prove a = b = c = 0

Q: Determine whether 8ory-- ∞ as メマ- co and x→。 2. y= -3x°-5x²+7

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Q: In a study of pain relievers, 50 people were given product A, and 38 experienced relief. In the same…

A: It is obtained that: For product A: Total participants=50No. of participants, who got relief=38 For…

Q: Show that x = e4t is a solution to x"" – 12x" + 48x' – 64x = 0. Show that x = et is not a solution…

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Q: 2 is > 2 of x, the

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Q: 9. Find the general solutions of X' = AX with A =

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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: et, a1 = 3, a2 = 4 and for n > 3,an = 2an-1 + an-2 +n², express an in terms of n. %3D

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Q: In a village out of 200 people it was found that 55 people are infected from Malaria, 72 people are…

A: Solution: From the given information, 55 people are infected from Malaria, 72 people are infected…

Q: Find a three-digit positive integer such that the sum of all three digits is 14, the tens digit is…

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Q: Find 3 consecutive odd integers such that 3 times the third is 46 more than the firs

A: To find 3 consecutive odd integers such that 3 times the third is 46 more than the first.

Q: 6) The product of two numbers is equal to 192. Find values for these numbers such that the sum is…

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Q: Compute A−2 two different ways and show that the results are equal.

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Q: Indicate if polynonial, Binomi al or trimonial: Solve: 1. (x²+x-2)(3x²-8x-7) 2. Subtract 3(x²+1)²…

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Q: Find the general solution of the fifth-order DEQ. 2x(5) – 7x(4) + 12x" + 8x" = 0

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Q: When the positive integer n is divided by 3, the remainder is 2 and when n is divided by 5, the…

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Q: GIVEN: 2x - 3 = 7 PROVE: x = 5

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Q: Rewrite rnan(r – 2)"--2nan(x – 2)"- +n(n – 1)an(x – 2)"-2 n=1 n=1 n=2 in the form b, (r - 2)".

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Q: y is a positive integer. If x-(-y)=z, will z be greater than or less than x?

A: Here we have the relation z=x+y. and y is always a positive integer.  So z is always greater than x.

Q: evaluate x2 -(xy-y) for x satisfying x/9 -7 = x/2 and satisfying -3y -5=4y+23

A: See the details solution in below

Q: Show that o () –1 is an implicit solution to 2 -2y on the interval (-00, 00). Inload our

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Q: What is the sum of all critical numbers of 8 (x) = 12r4-8x3+6x2+ 36x - 3 -2 2.

A: given function g(x)=12x4-8x3+6x2+36x-3 we know a critical number of a function is found when its…

Q: (2) Determinek such kx - 4x+- =0 that has real and different solutions.

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Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2…

A: We need to find upper bound on the error.

Q: Find the number of integer solutions of X +x, +x, = 10 subject to the conditions given. a. 저20,%…

A: Integer solution

Q: find two addi n<0<2n. 4,- |

A: In this question, the concept of the Polar Coordinate System is applied. Polar Coordinate System A…

Q: If x is a n-700 as a. always b. real number Sometimes never such that 1x11, then x" -> -0

A: We want to find correct answer.

Q: What is/are X-value(s) in elx2-3x+2)= 1? www 1 O (2,1) O none of these

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Q: Four consecutive positive integers are such that the smallest is a multiple of 5, the second is a…

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Q: This hypothesis always contains the statement of equality.

A: Solution : Given statement : This hypothesis always contains the statement of equality. There are…

Q: Express in both (6+j5) ® (-16-j9)

A: 16+j53 x+jy3 and x=6, y=5∴r= 62+52r=36+25r=61and α=tan-156=39.81°θ=180+39.81=219.81Polar form…

Q: Use generating functions to determine the number of integer solutions for x + y + 2z = 29, x2-2, y >…

A: Given that x+y+2z=29 As for each x,y,z are non negative. The variable for x is, The variable for y…

Q: Prove that equation x^2 + y^3 = 60 does not have any positive integer solution. Prove by…

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