Question
Asked Mar 15, 2019

Sketch a possible graph of y = f(x), using the given information about the derivatives y′ = f ′(x) and y″ = f ″(x). Assume that the function is defined and continuous for all real x.

 

 

XI
x3
2
xi
y" =0
help_outline

Image Transcriptionclose

XI x3 2 xi y" =0

fullscreen
check_circle

Expert Answer

Step 1

From the given problem, we need to draw graph as per given properties of graph.

We must need to consider following rules:

  • y’>0 Slope of graph is positive
  • y’<0 , Slope of graph is n...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: How does the limiting behavior of solutions depend on the value of y(0)?

A: Given autonomus differential equation:Graph of function f is given.We need to show the the limiting ...

question_answer

Q: Find the domain: g(x) = ln(e^x -5)

A: The domain of ln z is z&gt;0. We'll use the same concept here. So e^x-5&gt;0. 

question_answer

Q: find the critical numbers of the function g(theta) = 4(theta)-tan(theta). My question is from the sc...

A: Refer to the question as per screenshot provided, I have to answer the how the last step came.That i...

question_answer

Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...

A: We have to find derivative using lograthmic differentiation .Question is given below:

question_answer

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

question_answer

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: The given integral is,

question_answer

Q: Because a new employee must learn an assigned task, production will increase with time. Suppose that...

A: To find the number of units completed in t hours by the new employee, integrate the rate of performa...

question_answer

Q: y′−6x=5+2y y(0)=−3 Is y=e2x −3x−4 a solution to the initial value problem shown above?

A: The given differential equation is y′−6x=5+2y.The solution of the deferential equation is given as, ...

question_answer

Q: Let h(r) =log2 (x - 3) + 1. a. Find the domain of h(x). b. Find the a-intercept of the graph of h(x)...

A: Given function is: