Please help me with this. Please check if I've gotten the write answer for each questions. And if I have shown the correct steps. Just check question d) and e)Just write the answers that are correct (e.g. a) correct, b) incorrect )Image 1: The questionImage 2: My work i XZ4Differentiate with respect to 'x'f'(x) = (x² + 3) dx (√x) - √x dx (x² + 3)(x²+3) ²UXd) f(x) = x²+31X-74+2√x (x² + 3) = 2x √x(x² + 3)²Therefore2x² + 3-4x²2√x (x²+3) ²-3-3x²Therefore when x 74f'(x) = 3-3x2√x (x²+3) ²(+),e) ((4) = (4) ² +3 = 1613 = 2lim f(x)X-74limX-742= 2√x (x²+3) ²24+15limX-74+fin =++16+3(x+15)219X²+3219lim f(x) lim f(x) = f (4)X-74X-74+(using Quotient Rule)13121Thus the function f(x) is continuous at x = 4 Consider the following piecewise function: f(x) =XCOLE x<00≤x≤4a. Use the first principles definition of a derivative to determine f'(x) when 0 < x < 4b. Determine f"(3)c. Determine the equation of the tangent to f(x) when x = - =d. Determine f'(x) when x > 4e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer...

Answered: Image /qna-images/answer/6fd0b6b7-eaf6-4ff9-94f1-10a4a5394d0e.jpg

Consider the following piecewise function: f(x) = Xcos, x<0 0sx<4 a. Use the first principles definition of a derivative to determine f'(x) when 0≤x<4 b. Determine /"(3) c. Determine the equation of the tangent to f(x) when x = - d. Determine f'(x) when x>4 e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer.

Consider the following piecewise function: f(x) = Xcos, x<0 0sx<4 a. Use the first principles definition of a derivative to determine f'(x) when 0≤x<4 b. Determine /"(3) c. Determine the equation of the tangent to f(x) when x = - d. Determine f'(x) when x>4 e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: he following function: =: Find fxy. f(x, y) = 5x4y6x4y5 - 21

Q: The integer n = 12700140x3243243 is missing the digit x. a) If n congruent to 3 (mod 9), then what…

A: According to the given information, Consider the given integer n:

Q: possible using the table below if you travel only North or West. LO SCI

Q: Write the ratio as a ratio of whole numbers using fractional notation 12 to 1

Q: Find S, if aj = 20, d = -10, and n = 25.

A: first term a1 = 10 common difference d = -10 total number of terms n = 25

Q: Find three sets of x- and y-values for the following. x tickets Sy 3 tickets $12 Complete the…

Q: Circle the best word or phrase for each of the following situations. No work is required for the…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: Salesperson Anne Bob Charlie Dave Evelyn Number of Cars Sold எல்எல்எ of off வில் வில் வில் Each…

A: Let =C and =C/2 Total number of cars = 140 sold by each salesperson

Q: W Click the icon to view the scatterplots. ..... Match the values of r to the scatterplots.…

A: Given correlation -1,-0.78,0.997,-0.457,1

Q: TASK 3: Rational Number Line The information below will be used for Questions 10 - 13. You will see…

A: Given- Letters A, B, C, D, and E represent numbers on the number line. The number line has evenly…

Q: give 5 ordered pairs of a many to one correspondents

A: We know the definition of many to one correspondents, Many to one correspondence is a function or…

Q: Write the equation of each of the following. Use the form y= a√b(x-h) + k a. b.

Q: Find the sum of the following convergent series. lim 348 lim 348 11 11 Σ [tan² (2n-1) - tan²¹ (2n +…

A: We need terms of series to find which terms will get cancelled and which remains after addition .

Q: 1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Please refer to the picture given. Instruction: Give a brief interpretation from the table. Provide…

A: Note- Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: urse code and the title, title of the lesson, title of activity, name of student and your block,…

A: 13.) Given: At=8t+e-3t on -2,3 According to mean-value theorem, if a function f(x) is continuous on…

Q: How many Lettuce paths from a to b avoiding the blue squares

A: Let us consider a 2*2 box for example. It is part of the big square. Let say the present location…

Q: dr

A: To find integration.

Q: give 5 ordered pairs of a one to many correspondents

Q: I need help how to step by step for 3a. I put in question two as I am supposed to reference question…

A: From the problem statement, we know that the anxiety scores are expressed as T scores. The only…

Q: Find BA. A = BA= -1 - 1 -6-2 B = -2 - 3 -4 -1

A: Given: A = -1-1 -6-2 B = -2-3 -4-1

Question

Please help me with this. Please check if I've gotten the write answer for each questions. And if I have shown the correct steps. Just check question d) and e)

Just write the answers that are correct (e.g. a) correct, b) incorrect )

Image 1: The question

Image 2: My work

i XZ4
Differentiate with respect to 'x'
f'(x) = (x² + 3) dx (√x) - √x dx (x² + 3)
(x²+3) ²
UX
d) f(x) = x²+3
1
X-74+
2√x (x² + 3) = 2x √x
(x² + 3)²
Therefore
2
x² + 3-4x²
2√x (x²+3) ²
-3-3x²
Therefore when x 74
f'(x) = 3-3x
2√x (x²+3) ²
(+),
e) ((4) = (4) ² +3 = 1613 = 2
lim f(x)
X-74
lim
X-74
2
= 2√x (x²+3) ²
2
4+15
lim
X-74+
fin =
++
16+3
(x+15)
2
19
X²+3
2
19
lim f(x) lim f(x) = f (4)
X-74
X-74+
(using Quotient Rule)
13121
Thus the function f(x) is continuous at x = 4

Consider the following piecewise function: f(x) =
XCOLE x<0
0≤x≤4
a. Use the first principles definition of a derivative to determine f'(x) when 0 < x < 4
b. Determine f"(3)
c. Determine the equation of the tangent to f(x) when x = - =
d. Determine f'(x) when x > 4
e. Is f(x) continuous when x = 4? Use the formal definition of continuity to argue your answer...

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Solution

VIEW

Step 2: Solution

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Jennifer runs a cafe in Boston. Her wait staff's names are Maggie, Sharon, James, and Trina. Server's sections are numbered consecutively- 1, 2, 3, 4 and each server works a different section. Each server is wearing a different color shirt- Purple, Yellow, Green, or Blue. Match each server to their section and shirt color using clues below. You must use subscripts to identify the clues that got your answer. 1. The person in section 4 is not wearing a purple shirt. 2. Maggie is in section 2 and is not wearing a yellow shirt 3. Sharon is wearing a blue shirt but is not working in section 3 or 4 4. James isn't wearing a purple shirt or a green shirt and is working in a section next to Maggie.
Directions: Prepare, or complete, a flowchart proof and a two-column proof for the following problems. Given: AE and BD bisect each other 1. Prove: AABC = AEDC E Flowchart Proof: Two-column Proof: Statements Reasons All Rights Reserved © MathBits.com
Match these values of r with the accompanying scatterplots: 0.402, 0.736, -0.736, -1, and 1. Click the icon to view the scatterplots. Match the values of r to the scatterplots. Scatterplot 1, r= Scatterplot 2, r= Scatterplot 3, r= Scatterplot 4, r = Scatterplot 5, r = V ▼ Scatterplots 15- 14- 13- 12- 11- 10+ 0 8- 6- 4. 2- 0- 0 4 Scatterplot 1 . • 0.2 0.4 0.6 0.8 1 x Scatterplot 4 0.2 0.4 0.6 0.8 x • 1 Q Q Q ✔ 8 6- > 4- 2 ▬▬▬▬▬▬▬▬▬▬o 0- 0 0.2 0.4 0.6 0.8 -14 Scatterplot 2 0 • X Scatterplot 5 1 0.2 0.4 0.6 0.8 1 C Q Q ✔ Q Q > 8- 6- 4- 2 0- 0 0 · Scatterp T 0.2 0.4 0.6 X ▶ X
bard.com Question Completion Status: QUESTION 3 Which of the following relations are functions where y is a function of x? A. B. Click Save and Submit to stue hid si bmit. Click Save All Answers to save all answers. Sa ch F2 F3 F4 FS
Name: Ill Teacher: Ms. Cahill / Mrs. Helmsing 3.2.1 Practice a. 6-721 Student Schedule For Harris, Izabella A Student Number: 18696 3-34. The number 6 is represented with+ and tiles at right. For each problem below, start with this diagram and then show how to remove the appropriate number of tiles to represent the problem given. State the final answer for each part. ++++ Block: 4/5 +++
Please help me answer the following questions. Thank you
Image.....