Which integral would represent the area shown?2-1-X0.51.5So (-x² + 3) dxJo (-x' + 3) d x6 (-x' +3) dxLo (x² + 3) dx13.learnx-svc.k12.com/learnx-svc/getindex/token/620bd91af5fe153fd06d6d22 37ca87d7-7f83-4e06-bf0b-99421215MacB

Answered: Which integral would represent the area…

Which integral would represent the area shown? AY 4 3 2- 0.5 1 1.5 (-x² + 3) dx Lo (-x³ + 3) dx 2 L (-x³ + 3) dx Lo (x² + 3) d x

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.7: Operations On Functions

Problem 60E

See similar textbooks

Related questions

Q: In the given DE, cos x + In y + ( + ev = 0, integrating the coefficient of dx, M (x, y), with respec...

A: We will find the g(y) as shown below

Q: ) A metal component is subjected to heat-treatment called normalisation. The component is eated to a...

Q: Given the following differential equation, D (2D3 – 6D² +5D) y = 0, to determine the values of the -...

Q: Given the differential equation: y" + 3y'- 4y - Propose an appropriate particular solution O Up = (A...

Q: v° tan odo 5+31ncosv

A: See this solution

Q: [5an28 elan 20 sec 2 Bdß 1. e²x +2e* - dx e* +1 2.

Q: The Laplace transform of a constant, k, is valid for

A: The Laplace transform of a constant k, is valid for ______

Q: 9. Which of the following is NOT true about the set 2N = { %3D 2, 4, 6, 8, 10, ...}? * O A.) It is b...

Q: Find L{(t – 1) (2 – 5 sin 3t)}. 2 15 15 + s(s² +9) s2 (s² +9) 5s 30s s2 +9 (82–9)² 2 15 15 s2 (s² –9...

Q: price p (in doi equation q = 800- 20p and 0s ps 40 (i) Express the revenue R as a function of q. (ii...

A: Given demand equation is q=800-2pand 0≤p≤40where p is the price and q is the quantity sold

Q: For each problem, find the equation of the secant line that intersects the given points on the funct...

Q: Find the volume of the solid formed by rotating the region bounded by the curve y = Va and the line ...

Q: d'y Given the differential equation, da2 2y e2" sin(2) cos(2x), the proposed dæ particular solution ...

Q: dy Given the DE 6y? x , the general solution can be expressed as; dx 12x2 + C O 1 3x2 + C 3x2 + C - ...

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: We have to find the differential equation that models the system.

Q: d²y Given the differential equation. + 4y = 0 and the initial dx? conditions y(0) =0 and y'(0) = a, ...

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

Q: The differential equation 2 d y + x dæ3 1(4) - 5y = e is: dx O linear and third-order O non-linear a...

A: Given differential equation is: x3d3ydx3+xdydx2-5y=ex

Q: Find the larger of two numbers if their sum is 190 and the smaller number is 3/7 of the larger numbe...

Q: 15. A father is 27 years older than his son. Ten years from now, he will be twice as old as his son....

A: We are authorized to solve only one question, please repost remaining questions Age problem

Q: Find the exact length of the curve. X = Vу (у — 3), 16 <y S 25

A: First differentiate wrt y

Q: Differentiate each function with respect to x. 2. f(x) = ln (3x^2/x^3+3)^5

Q: How much work W is done in pulling the rope to the top of the building? Show how to approximate the ...

Q: Suppose a block of metal is heated to 250 ° F and then brought into a room that is at 90° F at 5 pm....

A: Given that: The difference in Temperature of the Metal Block and Room at 5:30 PM is 5oF. Label as Td...

Q: ) A stone is dropped into a pond and sends out a circular ripple whose radius increases by 5 cm/seco...

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of fres...

A: The answer is 32kg

Q: dy A possible solution to the differential equation t dt (2) + 2y = 4t + 1 would be: y = # + 4t 1 3 ...

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount o...

A: Let X0 be the initial amount of material when t =0 After time t the amount which is left ...

Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: intersection of [2,9) and (3,67} union (4,5). Determine sup s Let S> 9. 3. C. 6.

Q: Classify the number as a member of one of the following sets: the rational numbers, the integers, th...

A: The given number is:

Q: Find the limits justi ly why the limit does nt aut or リ Pas 11-x1 b) lim fa) メ-1 2) lim *tメ-?

Q: spring is stretched 6 in. when a 4-lb weight is hung on it. The 4-lb weight is attached and pushed u...

Q: Which of the following is an example of an infinite set which is bounded and countable? A.) The set...

A: Topic =Algebra B) [ 2, 20 ] is an example of an infinite set which is bounded and countable.

Q: 5. A realtor bought a group of lots for $90,000. He then sells them at a gain of $3,750 per lot and ...

Q: Solve the differential equation with appropriate method. Finalize answer in terms of x and C combine...

Q: Find the Laplace transform of: F (t) (2+t) e*. ( 3n.)! f(s) = + (s+4)* s+4 (s+4)3n+1 (3n)! f (s) = 2...

Q: Solve the differential equation with appropriate method. Finalize answer free of logarithms, fractio...

Q: A 2-lb object, that stretches a spring by 1.5 inches, is released with a downward velocity of 32 ft/...

A: Given: mg = 2 s = 1.5 inches = 1.5/12 = 1/8 feet g = 32

Q: When 4x3 - qx2 + 11x -20 is divided by x-2. The remainder is 4. What is the value of q?

Q: The dependent variable in aUgy = BUyy = k is/are: °U a, B o x, Y

Q: dy If the differential equation dx is solved via the substitution z = u-, the resulting equation is ...

Q: (b) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% p...

Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If a...

A: given limx→2f(x)=4limx→2g(x)=-5limx→2h(x)=0

Q: x' 3 3 4 27 -x+39 (2) For the function f(x)= (i) Determine the coordinates of the turning points. (i...

Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: Find the L{y(t)}, given the initial value problem y" - 3y' + 2y = t - 2; | y(0) = 0, y'(0) = 1 %3D %...

Q: (a) Define what it means by 2 for y = f(x). %3D

A: Topic:- calculus

Q: Simplify by rationalizing the denominator. V5 (Type an exact answer, using radicals as needed.) V5

Question

Which integral would represent the area shown?
2-
1-
X
0.5
1.5
So (-x² + 3) dx
Jo (-x' + 3) d x
6 (-x' +3) dx
Lo (x² + 3) dx
1
3.
learnx-svc.k12.com/learnx-svc/getindex/token/620bd91af5fe153fd06d6d22 37ca87d7-7f83-4e06-bf0b-994212
15
MacB

Expert Solution

Step 1

NOTE: Refresh your page if you can't see any equations.

here the parabola opens downward

so the leading coefficient must be negative.

and we can see that the y-intercept is (0,3)

so the constant term of the equation is 3

so the equation of the parabola is

$f(x)=-x^2+3$

Step by step

Solved in 2 steps with 6 images

SEE SOLUTION Check out a sample Q&A here