Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 8.34x+87.21, where x = 0 corresponds to the year 2000. Total expenditures were $1583.9 billion in 2002. a. Find a function that gives the total expenditures x years after 2000. b. What will total expenditures be in 2017?

Q: Evaluate the integral. Select the correct answer. 432 3 216 3 In 36- 432 3 In 36- none of these 432…

A:

Q: Write a recursive formula for the arithmetic sequence an given below. an= and a1= 10,19,28,37,46,…

A: To write a recursive formula for the arithmetic sequence given below.an=? and a1=?10, 19, 28, 37,…

Q: Say a candidate is running for mayor of a city. During the incumbent mayor's first year in office,…

A: Given that Say a candidate is running for mayor of a city. During the incumbent mayor's first year…

Q: Find the partial fraction expansion of the rational expression 2x³ + 3x²2 - 22x - 60 x² x - 12 -

A:

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-2, 8) for…

A:

Q: Find ₁²² x²dA where R = {(x, y) | 4x² + 25y² < 100}

A:

Q: Q2/ A. Find the following limits. Answer four only. x+3 i. lim x-3x²+4x+3 X+) √2+1! x-1 lim x-1…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Problem 4. A particle moves back and forth along a straight line with a velocity of v(t) = 1-²…

A:

Q: f₁(x) = 8, f₂(x) = cos²(x), f(x) = sin²(x) g(x) = c₁f₁(x) + C₂f₂(x) + C3f3(x) Solve for C₁, C₂, and…

A:

Q: Find the following for the given equation. r(t) = e−t, 8t2, 3 tan(t)   (c)  Find r'(t) · r''(t).

A: Find the following for the given equation. r(t) =&lt; e−t, 8t2, 3 tan(t) &gt;   (c)  Find r'(t) ·…

Q: Exercises L- If H B =). 33" 3 14. BB+A-SI-D E A-

A: The answer is given below:

Q: Find or evaluate the integral using substitution first, then using integration by parts. cos(In x)…

A:

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A:

Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

A:

Q: Question 3 Given the U= {1,2,3,4,5,6,7,8,9,10) and A = {3,4,5,6,7} B = {1,5,7,9} C = {3,6,9} D =…

A:

Q: Sketch the plane curve represented by the vector-valued function and give the orientation of the…

A:

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

Q: Ive the given IVP using Laplace transforms. "-7x'- 8x = 0 x(0) = 1, x'(0) = -3

A:

Q: 12. For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet,…

A: Topic = Integration

Q: Given r(t)=t2i+5tj, find and completely simplify T(t) and N (t)

A: I am attaching image so that you understand each and every step.

Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A:

Q: (6xy - 3y² + 2y)dx + 2(x − y)dy = 0; when x = 0, y = 2

A:

Q: The given family of functions is the general solution of the differential equation on the indicated…

A:

Q: Trig Substitution: For the following integral, which trig substitution is needed? O Tangent Sine…

A:

Q: 7. Suppose the equation əz ar is a differentiable function of r and y implicitly defined by 2³ = y²…

A:

Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x¹

A: We have to solve above differential equations

Q: Drag and drop your answer into the box: (a) An antidervative of f(x) is = 4x4 + 2x² - 5 (b) The…

A:

Q: Given that the graph of f passes through the point (1,9) and that the slope of its tangent line at…

A: Slope of the  tangent line to the  curve  y = f(x) is f '(x)

Q: You could take a 15-week, three-credit college course, which requires 10 hours per week of your time…

A: Given :  3 credit college course for 15 weeks. Which requires 10 hours per week

Q: If f '(x) = 0 and f"(x) <0, then the point (x, f(x)) is a local minimum. a) always b) sometimes c)…

A: Please note that following the guidelines only one question is to solved.

Q: No calculators. Using the Shell method only, find the exact volume created by rotating the region…

A:

Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A: See this solution in below

Q: Approxima using the (Use symbolic notation and fractions where needed.) approximation based on…

A: Given: x14 at a=16

Q: Volume of the function g(x, y)=√64-x² - y² over the semicircle bounded by x² + y² ≤ 64, x≥ 0. 2- -2-…

A:

Q: 13. Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) =…

A:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Select the…

A:

Q: a 3. Sketch the graph of +₁ f(₂)=1₁ continous function & $²(2)=0, the point (2,1) is 2 £ is…

A: Let's solve.

Q: 7 lim X-DO 11 Find the limit sin (7x) x

A: To find the following limit.limx→0 sin7xx

Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

Q: Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

A:

Q: Question 20 (5 points) Find the limit. 00 ∞ 5 0 -15 Question 21 (5 points) Find the limit. 0 1 00…

A:

Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

A:

Q: 47. Suppose cote>0 and sec 0 <0. In which quadrant could terminate? (A) Quadrant I (C) Quadrant III…

A:

Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: Find an equation of the tangent line to the curve y = 3 arccos (1,4 π). Select the correct answer.…

A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3x F(x) = [ cos (tº) dt.

A: Here we use fundamental theorem of calculus.

Q: 3. Find the average rate of change of function f(x) = 4 - 2x² (a) On [0, 1] (b) On [a, a+h].…

A:

Q: The arithmetic sequence bn is defined below. Find b3. b1=-2 D=-4 B3=?

A: The objective of the question is determine the b3 of given arithmetic sequence.