Question
Asked Nov 27, 2019
56 views

d and e please

5. The following is a graph of a function f(x)
a. Give the domain of f(x) in
interval notation.
b. State those values of r in the
-3
-1
2
domain of f(x) where f(x)is not
differentiable.
ef(a)dar.
c. Determine
-3
3) (-)
-3
d. Suppose F'(x) = f(x). Give the interval(s) on which F(x) is concave up.
e. Is f(x) continuous at x
-3? Explain your answer.
8
1
dx by calculating the Riemann sum with 3 rectangles and using the right endpoints.
6. Approximate
C)
help_outline

Image Transcriptionclose

5. The following is a graph of a function f(x) a. Give the domain of f(x) in interval notation. b. State those values of r in the -3 -1 2 domain of f(x) where f(x)is not differentiable. ef(a)dar. c. Determine -3 3) (-) -3 d. Suppose F'(x) = f(x). Give the interval(s) on which F(x) is concave up. e. Is f(x) continuous at x -3? Explain your answer. 8 1 dx by calculating the Riemann sum with 3 rectangles and using the right endpoints. 6. Approximate C)

fullscreen
check_circle

Expert Answer

Step 1

(d) It is given that F '(x) = f(x). Both F(x) and f(x) are different functions.

Value of F '(x) is known from the graph so, find out the interval where F '(x) is positive and negative.

help_outline

Image Transcriptionclose

<1.5 f(x)= F'(x)=f(x)>0(+ve) 3> f(x)= F'(x) < 0(-ve) When, When, 1.5 When, 3x = f(x)=F'(x)>0(+ve)

fullscreen
Step 2

Now, create the table for different intervals for F(x) and F '(x).

help_outline

Image Transcriptionclose

intervals for x (-0,1.5) (3,d) (1.5,3) F'(x) ve +ve -ve increasing decreasing increasing F (x)

fullscreen
Step 3

Then, as per the table F(x) is increasing in x ? (-∞, 1.5) and decreasing in x ? (1.5, 3).

Therefore, x = 1.5 is the point of maximum and concavity is downward.

Again, F(x) is decreasing in x ? (1.5, 3) and...

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

Functions

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Given that

question_answer

Q: Find the first four partial sums; the explicit formula of the nth partial sum; determine whether the...

A: Consider the given question,From the given series the first four partial sums find as,

question_answer

Q: Estimate the area under the graph of f(x) = 10 cos(x) from x = 0 to x = π/2 using four approximating...

A: Given that f(x) = 10cos(x)To find the area under the graph of f(x) from x = 0 to x = ?/2 using four ...

question_answer

Q: how do i find the specified term given two terms from an arithmetic sequence? step by step please.

A: Given terms are a1 = 33 and a7 = -15The nth term of an arithmetic sequence is, an = a1 + (n - 1) d …...

question_answer

Q: Use the integral test to determine if the following series converges or diverges 2 22n 28 First, sho...

A: Refer to the question we need to determine whether the provided series converges or diverges using i...

question_answer

Q: The series below is an alternating series that converges. Find the minimum number of the terms requi...

A: For the given series it is required to calculate the number of terms required so that |error|&lt;15T...

question_answer

Q: 4. Find the absolute minimum and absolute maximum values of on the interval 1,2

A: The function is given by,

question_answer

Q: Evaluate the indefinite integral using substitution. (Use CC for the constant of integration.)

A: Given integral can be expressed as

question_answer

Q: The rate (in mg carbon/m3/h) at which photosynthesis takes place for a species of phytoplankton is m...

A: Given function is