question: 1. The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population Po has doubled in 5 years, how long will it take to triple? To quadruple?

Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

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Q: 3. Which of the following is a transformation applied to the base function ƒ(x) = 2(x + 3)² + 6 a) A…

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Q: 7. What is the range of the function f(x) a. [-5, 5] b. [7, -4] c. [-8, 2] = 5sin(2x + n) - 2 ? d.…

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Q: Question 10 Convert the angle -165° to radians:

A: As we know that; The angle which in degree can be converted into the radians by the formula,…

Q: Let u = (-7, 1, 5) and 7 = (5, 3, 4). —

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Q: Evaluate log5 √625 O a) 2 O b) 5 O c) 25 O d) 4

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Q: 6. Show that there are no tangents to the graph of 5+2 that have a negative slope. .

A: Given function:- y=5x+2x+2

Q: Write the following expression as a single logarithm and simplify. log3 27+ log3 6 log3 2

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Q: Find -pi/4 < x < 0, which solution to the equation, 2sin^2 (x) + 3sin(x) +1=0.

A: Need to find out the solution of the equation in the interval given.

Q: Find dy/dv for  y= ∫v0 [(7+8t2)](1/2) dt.

A: Given:- y=∫0v7+8t2dt To find:- dydv

Q: Find a vector a with representation given by the directed line segment AB, where A(−5, 0, 1) and…

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Q: lim +2 2 7²-1 €³-76 +9 2

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Q: an equation for the translation

A: Topic:- geometry

Q: ng on 23 March 2012. $ Receipts 21.096 10.814 Days 21 35 49 63 77 91 105 119 4.505 2.311 1.072 0.624…

A: Topic:- rate of change

Q: (9) The velocity of an object moving along a straight line is v(t) = t² – 10t + 16. Find the over…

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Q: Write as a radical expression. 4 3) 3²21, 2017 3 X

A: Given that :        31/2.x4/3 and we write as a radical expression.     Here i attached the solution…

Q: 2. The equation f(x) = 4cos(45(x − 2)) + 7 describes the depth of the water in a harbour, in terms…

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Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: If is any angle, which expression represents an angle that is coterminal with ? nπ (a) 0 + 2 b) 0 nπ…

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Q: Solve. 63x-736-1 O a) 5 0 b) 2 0c) 9 d) 3

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Q: 2. Please, write an equation to represent the sinusoidal function in the following grap use radians…

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Q: unction f is defined as follows. -3x+5 if x < 1 4x-2 if x21 nd the domain of the function. ocate any…

A: Topic:- calculus

Q: eate a table of integer values for x = -2 through x = 2 for _x)=x²-5

A: Topic:- calculus

Q: 2. Describe the transformations that map the base function y = 2*, onto the 2(2x+²) + 2 given…

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Q: x = 20, and Σ x = 84. Calculate the sample variance for samples where N = 12, X

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Q: A truck with 46-in.-diameter wheels is traveling at 60 mph. Round answers to 2 decimal places as…

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Q: If r(t) = cos(2t)i + sin(2t)j – 4tk, compute the tangential and normal components of the…

A: Given:- rt=cos2ti+sin2tj-4tk Find Tangential and normal component of acceleration vector

Q: Find the standard equation of the circle which satisfies the given conditions. 4. center at the…

A: The objective of the question is determine the standard equation of circles.

Q: x³ - 3x²y = C

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Q: Simplify. 84 x 86 O a) 1 Ob) 8³ O c) 8¹4 O d) 834

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Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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Q: -10 -8 -6-4 -2 > y 10 8 6 4 2 -2 4 -6 -8 -10 2 4 6 8 10 X

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Q: Using the factors method - find the roots of the following equation. i) Show ALL stages of working…

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Q: is the hard limiter system is memory-less or memory system? y x ≥ 0 x < 0°

A: Yes, Hard limiter device is memoryless device whose output y is related to x  Given by,         {  y…

Q: Solve (x² − 1)(x² + x − 2) >= 0 using an interval chart.

A: Topic:- algebra

Q: For each of the following, perform the indicated operations on the vectors a = 4j+3k, b = -2i- j-4k,…

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Q: Decide whether the following problem can be solved using precalculus or whether calculus is…

A: A bicyclist is riding on a path modeled by the function fx=0.0310x-x2 where, x and fx are measured…

Q: a) The angle between 0 and 360° that is coterminal with the angle 1544° is b) The angle between…

A: Topic = Trigonometry

Q: (d) (g ∘ f)(6) =  (e) (g ∘ g)(-2) =  (f) (f ∘ f)(4) =

A: Let's find value of given function.

Q: 7. f(x) = x + √√/2x - 3, 3 2 x - 3 x-2' 8. f(x) = g(x) = 3 g(x) = = 3 r2 – 5r+6

A: Given  7.   f(x) = g(x)

Q: 17. [sec u] = (sec u tan u)u' dx

A:

Q: Refer to the following information on full-term births in the United States over a given period of…

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Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

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Q: Find each of the following functions and their domains. f(x) = x / 8+x g(x) = sin(4x)   a. f ∘ g b.…

A: As per bartleby guidelines we only give first three questions answers.  Please repost for other…

Q: 1. Two small boats are 24m apart. The angle of elevation of the boats to the top of a lighthouse are…

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Q: 1. (a) f(-2) (cf (1) ๆ -3 (b) f(−1) (d) f(1.5) 3

A: The graph of the function is:

Q: Lim (x->infinity) (Sqrt (9x^4 + 6))/(4+3x-x^2))

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Q: x³-7x-6 lim x→→3 2x³-11x²+12x+9

A: We need to find limit. NOTE - As per Bartleby's guidelines we can  solve one question from multiple…

Q: G(G(x)) = 1/((1/x-10)-10) what is the domain of G(G(x))?

A: Given: GGx=1x-10-10

Q: Let f(x) = 2e³x and g(x)= and 2 3 g(x)= ln(5x); find (fog)(2)

A: