The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population in the year 2000 was 18900.

(a) Find a function that models the population t years after 2000 (t=0 for 2000).

Hint: Use an exponential function with base e.

Your answer is P(t)=

(b) Use the function from part (a) to estimate the fox population in the year 2008.

Your answer is (the answer must be an integer)

### Want to see the full answer?

Check out a sample Q&A here*arrow_forward*Check out a sample Q&A here

*star_border*

## Related Calculus Q&A

Find answers to questions asked by students like you.

Q: BONUS: Consider the sequence suggested below: 1, 7, 6, 10,11,13,16,16,21,19,26,22,31, 25, 36,28, 41,...

A: Consider the sequence

Q: Use the substitution z = tan (6/2) to evaluate the integrals in Exercises 41 and 42. 42. 41. esc @ d...

A: Click to see the answer

Q: In Exercises 147 and 148, find the absolute maximum and minimum values of each function on the given...

A: Click to see the answer

Q: End Behavior of a Power Function Identify the End Behaviors for the function graphed to the right 5+...

A: The given graph of the function is

Q: 10.5

A: Standard equation of hyperbola is

Q: Find two positive real numbers such that they add to 40 and their product is as large as possible.

A: Click to see the answer

Q: -5 -4 -3 -2\ -1 3 -2 The function graphed above is: Increasing on the interval(s) Preview Decreasing...

A: Given graph

Q: Does L'Hôpital's Rule apply to lim f(x)g(x) if f(x) and g(x) both approach oo as x → a?

A: L' Hopital's Rule is used in the following cases,

Q: Mass of a wire In Exercises 1–6, find the mass M and center of mass x of the linear wire covering th...

A: 1) Find the mass and center of mass of following function:

*question_answer*

Q: 5.) During the construction of a high-rise building, a worker accidentally dropped his portable elec...

A: #5) When the screwdriver hits the ground then s(t)=0 We plug s(t)=0 and then solve for t. Answer(a...

*question_answer*

Q: sketch the graph of the function. Indicate the transition points and asymptotes

A: Click to see the answer

*question_answer*

Q: 8. At points on a circle of radius a, line segments are drawn perpendicu- lar to the plane of the ci...

A: Click to see the answer

*question_answer*

Q: Find the derivative of f (x) = 2e". f' (æ) =

A: Given function

*question_answer*

Q: 3. Find a non-recursive formula for an for the sequence 3, 6, 12, 24, 48, 96....

A: Click to see the answer

*question_answer*

Q: find all critical points of f and use the First Derivative Test to determine whether they are local ...

A: Consider the function

*question_answer*

Q: The following function is a company's price function, where p is the price (in dollars) at which qua...

A: Company's price function is (a) Revenue function is

*question_answer*

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = x−1, [2,...

A: Click to see the answer

*question_answer*

Q: sketch the enclosed region and use the Shell Method to calculate the volume of rotationabout the x-a...

A: Click to see the answer

*question_answer*

Q: Find the absolute maximum and minimum values of f(x)= ln(x^2+3x+15) on the interval [-2,1]

A: We find f'(x) using chain rule

*question_answer*

Q: apply Newton’s Method to f and initial guess x0 to calculate x1, x2, x3. f (x) = x2 − 6, x0 = 2

A: Click to see the answer

*question_answer*

Q: 6. Consider a right-circular cylinder of diameter 1. Form a wedge by making one slice parallel to th...

A: Click to see the answer

*question_answer*

Q: Can you please answer these two sub questions and show all of the steps

A: (Note:We’ll answer the first question since the exact one wasn’t specified. Please submit a new ques...

*question_answer*

Q: Hi, Image 1 is the original question, image two is what I have so far. My question is: Find 2nd de...

A: Click to see the answer

*question_answer*

Q: Can you please answer this question and show all of the steps and say the answer choice

A: Given, f(x) = √x ln(x) Taking derivative of the function, we get Now, find the points where f'(x) =...

*question_answer*

Q: Brandon is on one side of a river that is 50 m wide and wants to reach a point 200 m downstream on t...

A: Let B=Brandon, A=his opposite point, C= point he wants to reach Let he will swim upto D. And then h...

*question_answer*

Q: find (In x)³ dx 2x In (In x) dx x In x 11. 12. In9 et/2 dx tan x In (cos x) dx 13. 14. In4 eVi cdr -...

A: Click to see the answer

*question_answer*

Q: The demand function for a certain product is given by 1000 500 + q + 1 where p is the price and q is...

A: Click to see the answer

*question_answer*

Q: (a) sketch the region enclosed by the curves, (b) describe the cross section perpendicularto the x-a...

A: Click to see the answer

*question_answer*

Q: 2. Which of the following functions grow faster than e as x–→∞? Which grow at the same rate as e"? W...

A: Click to see the answer

*question_answer*

Q: calculate the arc length over the given interval y = 14x2 − 1/2 ln x, [1, 2e]

A: Click to see the answer

*question_answer*

Q: The PV of N dollars received at time T is (choose the correct answer): (a) The value at time T of N ...

A: Click to see the answer

*question_answer*

Q: A coffeeshop determines that it can sell 5000 cups of coffee at a price of $1.50, but for every $1 i...

A: Click to see the answer

*question_answer*

Q: A spring obeys a force law F(x) = −kx1.1 with k = 100 N/m1.1. Find the work required to stretch the ...

A: Click to see the answer

*question_answer*

Q: please solve and show your work

A: Click to see the answer

*question_answer*

Q: find the volume of the solid with the given base and cross sections The base is the region enclosed ...

A: Click to see the answer

*question_answer*

Q: calculus 2 picture

A: Click to see the answer

*question_answer*

Q: Evaluate the integrals in Exercises 37–44. 37. Jau. cos x sin x dx sin³ x cos“ x dx 38. tan“ x sec? ...

A:

*question_answer*

Q: 19. Finding volume The region between the x-axis and the curve So, y = f(x) = lx In x, 0 < x< 2 is r...

A: Click to see the answer

*question_answer*

Q: Integrating the square of the derivative If f is continuously differentiable on [0, 1] and f(1) = f(...

A: Click to see the answer

*question_answer*

Q: Use Implicit differentiation to find dy/dx and d2y/dx2. 4 sqrt y = x-3y dy/dx = d2y/dx2=

A: Given:

*question_answer*

Q: Find the equation of the tangent line to the graph of the equation sin-(x) + sin-(y) at the point

A: To find the equation of tangent line to graph of the equation given below,

*question_answer*

Q: 10. Urban gardening A vegetable garden 50 ft wide is to be grown between two buildings, which are 50...

A: Click to see the answer

*question_answer*

Q: Sketch the graph of f(x) = 18(x – 3)(x – 1)2/3 using the formulas 30(x – 2) 20(x – 2) (x – 1)4/3 f'(...

A: Click to see the answer

*question_answer*

Q: Can you please answer these two sub questions and show all of the steps

A: Click to see the answer

*question_answer*

Q: In Exercises 5–8, show that each function is a solution of the given initial value problem. Differen...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

*question_answer*

Q: 7x+8dx X+3x+2

A: Click to see the answer

*question_answer*

Q: show that L’Hôpital’s Rule is applicable to the limit as x →±∞and evaluate

A: Click to see the answer

*question_answer*

Q: Problem 2: For the following incomplete statements, fill in the blank with a couple words (or a numb...

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If yo...

*question_answer*

Q: Can you please answer this question and show the steps and say the correct choice

A: Consider the function arc sine is the inverse of sine function.

*question_answer*

Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =...

A: Click to see the answer

*arrow_forward*

*arrow_forward*