Suppose that a population of dog breeds cannot exceed 1,000. The growth rate is 0.4 per year. How many dogs will there be in 10 years if there were initially 50 dogs? Round to the nearest whole number

Q: Find the other five trigonometric ratios of 0. sin(0) = cos(0) = tan (0) = sec(0) = cot(0) =

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Q: A university has a long table by a window for students to work individually. There are 20 seats at…

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A: Let's find interval of continuous.

Q: In the following exercise, find the coordinates of the vertex for the parabola defined by the given…

A: In the following exercise, to find the coordinates of the vertex for the following parabola by the…

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A: The objective of the question is determine the time take by submarine to reach to the surface.

Q: 1. Discuss the monotonicity (i.e. identify the intervals of x over which the function is increasing…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: The radius r of a circle is increasing at a rate of 5 inches per minute. Find the rate of change of…

A: Solution

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A: Let's solve given differential equation.

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 165+ 7.3x and R(x) =…

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A: Given, The graph of the velocity of the particle moving along the line has shown. (a) To find when…

Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. √x+1-2 lim 1-3 x²-9 lim 1-3 x²+7-3 x+3 x²+2x-8…

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Q: The number of stolen bases per game in Major League Baseball can be approximated by the function…

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Q: Question Given f(x) = -2x2 + 4x + 13, find f'(-4) using the definition of a derivative. Provide your…

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Q: For f(x)=5x-1 and g(x)=x+1/5 find the following function (fog)(7)

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Q: Find the derivative of the function using the chain rule  *please use handwriting not typing. i…

A: Let's find differentiation of given function.

Q: 3 2) a₁ =4, r=-²³/ 4) a₁ = -1, r= 3 6) 7.1 +17.75 +44.375 + 110.9375...,

A: Determine if each geometric series converges or diverges

Q: Solve the differential equations. -

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Topic-Limits We are given,f(x)=9-3xifx<3x2-xifx≥3Limit exists at x=c if limx→c-f(x)=limx→c+f(x)if…

Q: 94. 0 S sint dt (Hint: sin(-t) = −sin(t)) 1 + t -T &

A: Note: Since the student has mentioned to solve only question no. 94, so we are solving accordingly…

Q: Let L be the line passing through points (-2, -5) and (3,4).  1. Find the general equation of the…

A: Let L be the line passing through points -2, -5 and 3, 4.1 To find the general equation of the line…

Q: At what points is the following function continuous? f(x) = x-3x-4 X-4 5, 1 x #4 x = 4 The function…

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Q: Show by example that the following statement is wrong. The number L is the limit of f(x) as x…

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Q: For f(x)= square root x and g(x)=x-1 find the following function (gof)(x) H HE

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Q: The position vector r describes the path of an object moving in the xy-plane. Position Vector Point…

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Q: A certain bacterial culture grows at a rate proportional to the number of bacteria present. If the…

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Q: Solve the differential equations. 1. 12-

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Q: Obtain the derivative dy/dx. HINT [See Examples 1 and 2.] y = 6x³ + 9x dy dx - O power rule State…

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Q: Solve the D.E. 1. (D²+1)y= 12 cos² (x). Solve using 2-ways. ANSWER: y = C₁ cos(x) + C₂ sin(x) + 6-2…

A: Differential equation

Q: Find the profit function if cost and revenue are given by C(x) = 191 + 5.2x and R(x) = 3x -0.02x².…

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Q: Solve the given differential equation. dy = 6x 5sec y dx (A) y = sin (x6 + C) B) y = x + C c) y =…

A: We use variable separable method to solve the given differential equation.

Q: 1. Due to economic and political implications, the value of the purchasing power of a thousand peso…

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Q: 8. y-³ = x³ (3ex + c); xy' + y + x¹y¹ex = 0

A: y-3=x33ex+c

Q: A tank initially contains 100 m³ of a bleach solution with 5 grams dissolved chlorine. Fresh water…

A: Given data is shown in the figure below Lets say amount of chlorine present in the tank after time…

Q: Question A rock is dropped from a height of 64 feet. Its height above ground t seconds later is…

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Q: Solve the differential equations. 1. X 3

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Q: Find the values of x where the tangent line is horizontal for f(x) = 3x³ - 2x² - 9. O A. x=0, x= B.…

A: Topic -tangent line to a function. We are given a function f(x)=3x3-2x2-9 and we know that the…

Q: Given right circular cone 1- slant height r-radius surface area, A = πr² +πrl. If value of r changes…

A: The value of radius and slant height of the cone are r = 6 m and l = 12 m The change in radius of…

Q: Use the graph below to determine whether the statements about the function y = f(x) are true or…

A: Topic- Limits and continuity we are given, graph of a function. we know that limit at a point x=a…

Q: A tank initially contains [F] m³ of a bleach solution with [G] grams dissolved chlorine. Fresh water…

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Q: If x²y³ - 9x sin(y) = 14, find y' by implicit differentiation. y' =

A: We can find the answer as below.

Q: Prove, using the formal limit definition of the derivative, that if f(x) = then f'(3) = - 1-2x x3 s…

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Q: 1. Find the equation of the tangent line to the curve y=- of a derivative.) -5 x+2 at x = 1. (Use…

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Q: Find the equation of the tangent line at x = 7 for f(x) = 6 - x². Write the answer in the form y =…

A: See this solution in below.

Q: Solve the differential equations. 3. dl dt + KT-100k,

A: The solution of the given differential equation is as follow.

Q: Question Use the method of partial fractions to evaluate the following integral. 5 | arus x³ - 343…

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Q: Evaluate the following limit. 1- cos xy (x,y) →+(0.n/2) 3x²y3 Lim Select the correct choice and, if…

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