Reference no: EM131369739
The Fundamental Theorem of Calculus
(1) Below is the part of the graph of a function f(t). Let F(x) = 0∫x f(t)dt
(a) Find F(4.5).
(b) Find F'(4.5).
(c) Find F"(4.5).
(d) Find the minimum and maximum values of F(x) on [0, 5].
(e) Suppose it is given that -2∫2f(t)dt = 5. Find -2∫-1f(t)dt.
(2) Suppose that f is a continuous function and that f(3) = 3, f(6) = 5.
Let G(x) = 1∫x^2f(t)dt. Find G'(3).
(3) Suppose that f is a continuous function and that f(1) = 1, f(3) = -4.
Let H(x) = x∫10f(t)dt. Find H'(2).
(4) Suppose that f is a continuous function and that f(2) = 5, f(3) = 2,
Let K(x) = √x∫xf(t) dt. Find K'(4).
(5) Suppose F'(x) = f(x) and we are given F(1) = 10, F(2) = 5, F(10) = 1.
Find 1∫5f(x)dx.
(6) Find x such that -1∫x (1/1+t2)dt = (7π/12).
I need all the steps and finish.
Determine the two possible depths
: Water flows in a horizontal rectangular channel at a depth of 0.5 ft and a velocity of 8 ft/s. Determine the two possible depths at a location slightly downstream. Viscous effects between the water and the channel surface are negligible.
|
What can you do to overcome the challenges
: PRG 420- In your opinion, what are the three biggest challenges in planning and designing a solution for a programming problem? What can you do to overcome these challenges? How would you apply these techniques to the programs in this class?
|
Find the average shear stress between the oil and the plate
: Water flows in a 5-m-wide channel with a speed of 2 m/s and a depth of 1 m. The channel bottom slopes at a rate of 1 m per 1000 m. Determine the Manning coefficient for this channel.
|
Write a comment about the given post
: Most schools have resources such as peanut butter and jelly sandwiches for children who are unable to pay for meals at school. It is not inconceivable that a low-income child would not be signed up to receive free meals, yet would also not have ac..
|
Find the minimum and maximum values
: Math 252 The Fundamental Theorem (of Calculus). Find the minimum and maximum values of F(x) on [0, 5]. Suppose it is given that -2∫2f(t)dt = 5. Find -2∫-1f(t)dt
|
In an effort to reduce its inventory
: In an effort to reduce its inventory. Rapid Grower is offering Greens, a local nursery (Problems 12 and 13). two additional price breaks to consider. If the nursery orders a three-month supply, the cost per bag is $16. If Greens orders a six-month su..
|
Write a comment about the given post
: You believe teachers are responsible to advocate for their students. If they are aware of students that are going hungry, they need to report this to the proper authorities. I know there are many school districts in NJ that offer free breakfast ..
|
Use to evaluate the effectiveness of organization change
: How do you think you might evaluate the effectiveness of an organization change without incurring additional costs in a business? Describe the types of costs that might be incurred by the assessment methods that you described and selected? Describe t..
|
Determine the velocity when the channel is completely full
: The velocity is 4.0 ft/s when the channel is half full with depth d. Determine the velocity when the channel is completely full, depth 2d.
|