(e) log, (x - 1) + log, 3 = log a

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A: Here we have the graph of f(x).

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Q: If ae R, solve the following equation: x+ a² = √a-x.

A: To solve: x+a3 = a-x3 Take cube of both sides  x+a33 = a-x

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A: We have to find the value of the integral

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A: Given that the flashlight can light upto an area of 6 feet in diameter.

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Q: +Solve by substitution y = 4x-3 and 3x+y=32 2x + 2y = 2 and x = y + 15

A: Given :y=4x-3        3x+y=32    2x+2y=2   x=y+15

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A: Laplace

Q: 7x9

A: We have to find the product

Q: A train ride is $2.85 per ride. A commuter can purchase an unlimited-ride card for $45 per month.…

A: one ride cost  = $2.85 unlimited ride = $45 in $45 if per ride $2.85 so commuter get 45/2.85 = 15.79…

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: L-1 ( 1 (s+1)(s²-1)

A: A detailed solution is given below.

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A: We use Lagrange multipliers method for optimization to solve the given question.

Q: 11. True or False. sinh²x = - -+cosh (2x) O a. False. Correct answer is +cosh (4x) O b. False.…

A: topic- trigonometric identities

Q: Given: 12 HI 9 12--9 12 9 can be simplified to i, find a + b. 12+√9

A: Solution given below

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A: Given, H(t)=51(1.66)^t

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Q: 1) f(x)=x²-8x + 17

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Q: 18. If coshx=and x > 0, what is csch x? O a. 1 O b. O C. O d. 1 2 415 5 4131 3

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Q: Determine if S is a basis of P3. S = {1-t, 2t + 3t2, t2 - 2t3, 2+t3}

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Q: The half-life of a certain chemical in the human body for a healthy adult is approximately 7 hr. a)…

A: The half‐life of a certain chemical in the human body for a healthy adult is approximately 7 hr.a To…

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Q: Solve the given equation for x. (Remember that e - X xe - e- x = 0 #0 for all values of x.)

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Q: Subtract the binomials. On simplifying (-3y2 − 8) − (-5y2 + 1), we get y2 − .

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Q: 34 ACTIVITY 1. Construct the truth table: (p^ q) → (~pv q) and determine whether it is a tautology,…

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Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: Evaluate the following indefinite integrals. You do not need to simplify your answers. i. SG. +…

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