average

Q: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

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Q: speed x HOSX< 1000 if Graph Ffor 0 sx s 100. F sxs F 1000 (100, 1000 (100, 1000

A: We have to make the function from given data and graph the function.

Q: City and Country Cycles finds that if it sells x racing bicycles per month, its costs will be C(x) =…

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Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: Tutorial Exercise Use the shell method to set up and evaluate the integral that gives the volume of…

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Q: 3. f(x)=-2[x]

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Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: does the sequence an converge or diverge? Find the limit if the sequence is convergent…

A: givenan=cos(3pi2 - 6n)

Q: Graph the function. (Be sure to indicate any missing points.) ( 5x − 6 -x-5 ● No Solution Help f(x)…

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Q: For each pair of functions f(x) and g(x), find the following. P(x) = x²³² +6; g(x) = = (a) f(g(x))…

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Q: A sports franchise revenue can be modeled by the function R(t) = 337 + 8t. Their operating costs are…

A: Given data:- Revenue function R(t) = 337+8t Cost function C(t) = 245+20t

Q: (a) Find a vector parallel to the line of intersection of the planes -x + 3y + 4z : 0 and -x - 3y –…

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Q: A sphere is tangent to the x-y plane, the x-z plane and the y-z plane and it's center is the first…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: Find ||u₁y|| if u = (2,5), v = (8,2). # 5 -X (Express numbers in exact form. Use symbolic notation…

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Q: 3. Obtain the 6.S. sy dx + taydy = 0 xcos

A: We have given equation  xcos2y dx+tany dy=0 xcos2y dx=-tany dy x dx=-tanycos2y dy x dx=-sec2y tany…

Q: The population of a town in 1920 was 2700 people. The town's population decreased linearly, and in…

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Q: Parameterize the line through P = (-4,-4) and Q = (0, 3) so that the points P and Q correspond to…

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Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

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Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: Suppose an arrow is shot upward on the moon with a velocity of 38 m/s, then its height in meters…

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Q: 5 4 3 2 in -5 -4 -3 -2 -1 77 1 1 2 -3 -5+ ● 2 Write the domain of the function above using interval…

A: A graph of a function is given below. To write the domain of the function above by using interval…

Q: Solve for a. 8. 9a = 16 - a² 9. 54 = a¹ 10. a² - 16 = 32

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: The following table shows the daily receipts in millions of dollars of the movie "avatar" for…

Q: Evaluate the integral S 10x dx

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: The given function is f(x)=sin(x) Here we have to calculate the Taylor polynomials T2(x)=? and…

Q: For what values of a and b is the following function continuous at every x? - 10 f(x) = axb 4 x≤ -3…

A: Function to be continuous at point x = a, it must be defined at that point.

Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: 1. Find the derivatives of the following function (a) y=4²+2

A: Given Equation: y=4x2x-3xx+2xx          .....................(1)y=2x+3x2+x+1…

Q: 2. -4 (a) f(-1) (c) f(0) -3 -1 *** y 1 -1 -2 -3 (b) f(2) (d) f(-2.5) 1 3

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Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

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Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: 9. The function f is continuous on the interval [3, 11] with some of its values given in the table…

A: Let's find average rate of change.

Q: Find the interval of convergence of Σ n=0 (x-7)" n! (Use symbolic notation and fractions where

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Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: A 100-m race ends in a three-way tie for first place. The graph below shows distance as a function…

A: Please refer to the image below

Q: (3) Find the total area of the region trapped between y = sin x and y = cos x and lines x = and x =…

A: The equation of the curves are C1: y = sin(x) C2: y = cos(x) C3: x = π4 C3: x = 214 To evaluate: The…

Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: Solve for x using the system of 6. equations. 7y = 5x and 35 + 4x = 3y

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Q: B] Find the values of the functions 1. f(x) = 2x²x+3 2. f(x)=√x²4 Find (a) f(-3) Find (a) f(-2) (b)…

A: This question can be solved using the concept of value of a function at a given point.

Q: For each pair of functions f(x) and g(x), find the following. F(x) = x³ +6; g(x) = = (a) f(g(x))…

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Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A: To find the slope of the secant line.

Q: 4 + 12--104 X

A: -9x + 12 -10 + x Separate the variable and constant

Q: 8. A MODEL ROCKET ACCELERATES AT A RATE OF 4t m/s². HOW HIGH ABOVE THE GROUND WILL IT BE AFTER 10…

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Q: Find dy if y=t² & t = √h and h = x² dx

A: Given data: y=t2 ,t=h and h=x2

Q: 32. Given f(x)- vix, describe the concavity of f(x). A. concavity cannot be determined B. concave up…

A: We have to choose the correct option from the given options according to the given information