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

Q: In(2x² – 2) = In- 2x2 = 2 In x 2. True False

A: Check whether ln2x2-2=ln2x22=2lnx is true or false as follows. Recall, ln(a)-ln(b)=lnablnxa=alnx

Q: Determine the coefficient of xaxzx if (x1 + x2 + x3 + x4)1ª is expandec

A: This is given by the multinomial coefficient formula. We state the theorem and then deduce the…

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: -2{-12/-3+2[2²-12-√100]-(3²)}

A: We want to solve the given basic mathematical operation problem.

Q: Add and Simplify your ans 3(2)/(8)+5(1)/(8)

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Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

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Q: Evaluate ak+2 if ap

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Q: Which of the following is equivalent to 3x²(-2x)e-x² + e-x²16x O -16xe-x²(x² - 1) O 16xe-x²(x² + 1)…

A: Given query is to simplify the expression.

Q: S(3x + 5)e3*+5 dx D 1 e3x+5 3 (3x +4) + C 3x+5(3x + 6) + C B)e C) e3*-5 (3x + 6) + C D) e3*+5(3x –…

A: Using substitution method of integration &amp; By parts rule

Q: a. Without tables, show that -(p v (-p ^g)) a nd -p ^-q are logically equivalent.

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Q: 11) 2x+5=5-x

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Q: True or false: If a,b,m are integers with m > 0 satisfying m|(a^2 − b^2), then m |(a −b). Justify…

A: Given Information: If a,b, and m are integers satisfying m|a2-b2. To check: m |(a −b) for any…

Q: Divide x+2 x²+3x-10 x²-2x-8 x+3

A: We know that the divided can change multiplication then numerator and denominator are change…

Q: Calculate 2 -3] -1 2022

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Q: (-3z? – 4z + 7) - (2z2 + 2z – 1) - (2z - 3z + 7) = -3z? +z - 1 O True False

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Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

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Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 7. For n ≥ 1, verify that 12+32 +52 ++ (2n- +3²+5² · + 2n-1)² = (2n+1) 3

A: Ans : page 1:Ans page 2:

Q: If X is the smallest, or first of three consecutive even integers express the sum of all three…

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Q: 1- x**! 1- x n+1 6 (x # 1) r=0

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Q: divide x – 6x² – 9 by x + 6 | 1089 O x³ + 6x² + 42x + 180 + x+6 -x3 – - 6x² + 30x – 180 10 X- 1071 O…

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Q: S(x + Vx)dx 73 6.

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Q: Find three even numbers less than 400, each of which can be expressed as asum of consecutive…

A: The objective is to obtain 3 even numbers less than 400 such that they can be expressed as a sum of…

Q: CF5+21202(--5)

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Q: If A= xe Z:2" = 1 and B = {x e Z:-4 < 3x-1<11}, then find n(A×B),where Z is a set of integers.

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Q: termine k such kx2  _ 4x + 1/2 + 0 that has real and different solution

A: To determine the value of k such that the below equation has real and different solutions.…

Q: 2r2 + 2r + 11 dr 2r +3)(x² + 4)'

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Q: How many zeroes does 188! end with?

A: count number of five's in 188, 5*2=10 . Divide 188 and write quotient again divide quotient again by…

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 &amp; x4≥6.

Q: how many positive integers n satisfy 22-5n>-3?

A: 22-5n&gt;-3

Q: x + 4 dx 9 – (x + 1)2 Ans:-In + C 9 – (x + 1)²|

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Q: Give 7 examples with solution of General rules of Differentation

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Q: How many nonnegative integer solutions are there of the equation x1 +x2 +x3 =18?

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Q: 9) x2 + 11x + 30> 0 A) (x1 -6 -5); (-, -6) or (-5,-) D) (x!x>-5); (-5,-)

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