4. Given to the right is the graph of a function \( f' \), the DERIVATIVE of some function \( f \). Among the four graphs below are the functions \( f \) and \( f'' \). Graph Descriptions: - Each graph has a coordinate plane with an x-axis and y-axis. - The graph for \( f' \) shows a curve that increases, reaches a maximum, and then decreases. - Graph (i): Shows a curve decreasing and then increasing, with one turning point. - Graph (ii): Shows a curve with two turning points, one minimum followed by one maximum. - Graph (iii): Shows a curve with a minimum turning point, increasing symmetrically. - Graph (iv): Shows a curve that steadily increases without any turning point. (a) State which of the four graphs above is the graph of \( f \). Clearly state your answer, and explain using complete sentences how you know your answer is right. (b) State which of the four graphs above is the graph of \( f'' \). Clearly state your answer, and explain using complete sentences how you know your answer is right.

Q: Lorenz curves also can be used to provide a relative measure of the distribution of the total assets...

A: Lorenz curves also can be used to provide a relative measureof the distribution of the total assets ...

Q: [4] Let X = C(0, 1; R)={@:[0,1]–→ R:0(;) is continuous} , with inner product (Aø().w() = fu(s)ø(s)ds...

A: (a) Consider the provided question,  

Q: How many subintervals, n, should be taken to ensure that the absolute value of the 1 error in the ap...

A:

Q: Use the Laplace transform to solve the given initial-value problem. y''' + 2y'' − y' − 2y = sin(4t)...

A: Given: Given initial value problem is y'''+2y''-y'-2y=sin4t,y0=0,y'0=0,y''0=1

Q: Age Cumulative Percent Sexually Active Girls 5.7 The percents of girls age x or younger who have bee...

A: Hey, since there are multiple sub-parts posted, we will answer the first 3 sub-parts. If you want an...

Q: Where does the graph of the function y=3•cos¬lx-sin¬'x have a horizontal tangent line? Provide an x-...

A:

Q: Denote by fn the nth Fibonacci number. Show that when n is a positive integer, fofi + fif2 +.+ f2n-1...

A: Write recursive definition: f0=0f1=1fn+2=fn+fn+1

Q: 3. The estimated equation for the response (in coded variables) is ŷ Which of the following points l...

A: Option (b) is the correct option. Let us see how.

Q: Problem 4.3 Prove that for every positive integer n, 뉴 1 > 2(Vn+1- 1) 1+

A: Consider the given statement as "For every positive integer n, 1+12+13+…+1n>2n+1-1". Take the sta...

Q: (u, v) ~ (x, y) as (x, y) → (0,0) that will bring to the sum of squares z = A1u? + A2v² the followin...

A: given u=ux,yv=vx,y   and u,v~x,y as x,y→0,0 define a function z=λ1u2+λ2v2 where  z=-x2+x·y+2·y2+x2·a...

Q: Please answer the question on the image and please give full explanation to the answer.

A:

Q: Help (Q. 1)

A: We need to find the solutions of given differential equations. Given - X' = AX, where A = 1-24-3 So,...

Q: 2) a) Using matrix method solve the following simultaneous equations          2x + 3y = 13        x ...

A: x=5 and y= 1

Q: how do i solve this problem

A:

Q: 2. Using the Simpson’s rule with N = 4, find as accurately as possiblenumerical value of following i...

A: Given that the integral is ∫1∞e-x22dx and n=4. Now find  h=b-a2=∞-12=∞h=∞ The value of h is infinite...

Q: We wish to construct the world's largest open-top cardboard box. We have exactly 800 square feet of ...

A: (A) To determine the errors in the students response. (1) The surface area of the open-top cardboard...

Q: For the investment situation below, identify the annual interest rate, the length of the investment ...

A: Step:-1 Part (a):- the annual interest rate = 15 %  Part (b):-  the length of the investment in year...

Q: CHALLENGE2. A pipe can fill a tank in 120 minutes while the drain valve can drainit in 150 minutes. ...

A: It is given that a pipe can fill the tank in 120 minutes. So, the rate of filling is 1120. The valve...

Q: Find the flux of G(x, y, z) = (xz)i+ (yz)j+(z²)k outward across the part of the sphere x² + y² +z² =...

A: Here, surface, S={(x,y,z): x2+y2+z2=9, and 1≤z≤2}. For z=1, we get x2+y2=8 and for z=2, we get x2+y2...

Q: Consider two points (x0, y0) and (x1, y1). Prove that the first order Lan￾grange polynonial is equiv...

A: There are two points (x0 , y0) and (x1 , y1) ,now prove that the linear Lagrange interpolating polyn...

Q: Find the equations of the system of curves on the cylinder 2y = x² orthogonal to its intersections w...

A: The given family of curves is got as the intersection of F(x,y,z)=2y-x2=0 with a one-parameter famil...

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: The table below shows the number, in thousands, of vehicles parked in the central business district ...

A: Consider the given data. Number of hours (h) Vehicles parked(V thousands) 9 6.3 11 7.6 13 7...

Q: B. Estimate the length of the road using right-endpoint values.

A: Obtain the length of the road using the following formula. s=∫t1t2vdt=∑t1t2v△t

Q: 3. Let T:R2→R2 be the linear transformation that first rotates points clockwise through 150∘ (5π/6 r...

A:

Q: Find the general solution of the following nonhomogeneous system: 2 3 -8x – 1 2 1

A: Let y→=y1y2    ⇒y→'=y1'y2' so,  y1'y2'=2321y1y2+-8x-13y→'=Ay→+b .....(1) A-λI=2-λ321-λ=0⇒2-2λ-λ+λ2-6...