36The value of a and b for whichMSQthe function f(x)=x³+ax²+bx haslocal minima at x=4 point of inflection at x=1 areа-3,a=-3Cb= 24b=-24

fx=x3+ax2+bxCondition for minima:f'x=0 and f''x>0f'x=3x2+2ax+b=0f''x=6x+2a>0 When x = 4…

Answered: 36 The value of a and b for which MSQ…

36 The value of a and b for which MSQ the function f(x)=x³+ax2+bx has local minima at x=4 point of inflection at x=1 are

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.27P

See similar textbooks

Related questions

Q: 21. How fast would a vehicle have to be going for the driverțto perceive a red light, with a…

Q: Laser light is directed towards a pair of slits which are 2.50 x 10-2 mm apart. The light shines on…

A: Given: Given: Given the separation between the slits is 2.5×10-2 mm =2.5×10-5 m. The distance…

Q: What is the fundamental wavelength of an air column 80 cm long open at both ends? 40 cmO80 cmO20 cmO…

A: It is the case of column open at both ends. The formula for fundamental wavelength is given as…

Q: YA Up Down 1. Deep under water, a fish moves the fins at its sides in an up-down circular motion. Of…

A: Given in question - Fish moves the fins at its sides in an up-down of circular motion. To find -…

Q: The time interval between flashes on a strobe light is 1/80th of a second. What is the frequency of…

A: In Given this question : Time Interval Between flashes on strobe light = 180 th of second Find…

Q: 4. Given a wavelength of 54 nm, it takes 62 s to complete one cycle. What is the velocity of the…

A: Introduction: The period of the wave is equal to the time taken by the wave to complete the owner…

Q: 1. For destructive interference, the path difference is: a) odd number of half wavelength b) even…

Q: Select TRUE statement(s) about light. A. Light is a transverse wave. B. Light cannot travel in…

Q: The wavelength of purple light is (BLANK) that of yellow light. a. the same as b. longer than c.…

A: Purple is far away from red colour as compared to yellow.

Q: As Section 17.3 discusses, high-frequency sound waves exhibit less diffraction than low-frequency…

Q: 15) The lowest frequency of visible light is A. Violet B. Red C. Yellow D. Blue

A: Given:The lowest frequency of visible light islambda,λ =CfFrequency will be lowest when the…

Q: Which of the following is correct for light diverging from a point source? O The intensity decreases…

A: The correct option is (a). i.e The intensity decreases in proportion for the distance squared.

Q: A certain instant camera determines the dis- tance to the subject by sending out a sound wave and…

A: Given- Distance travelled by sound wave (d) = 7.39 m Speed of sound (V) = 343 m/s

Q: 07) Normalize the wave functions: A) BY Y(x)=N(2A

Q: i) Write the uses of optical fibre.

A: To determine: (i) The uses of optical fibre

Q: 2. A narrow beam of ultrasonic waves reflects off the liver tumor as shown in the figure below. The…

A: Given,

Q: The speed of a light wave in a certain transparent material is 0.561 times its speed in vacuum,…

Q: Two waves Y1-6.3 sin (3297 t-0.0765 x + 8x) and Y2-8.3 sin (3297 t-0.0765 x + 9%) interfere.…

A: Given data Y1 = 6.3 sin (3297t - 0.0765x + 8pi) Y2 = 8.3 sin (3297t-0.0765x + 9pi) These waves are…

Q: Mr. Daryl is giving an announcement, and he can be heard up to 30m. If you are standing 35m east and…

Q: A certain instant camera determines the dis- tance to the subject by sending out a sound wave and…

A: distance = velocity * time Given :- d = 2.07 m v= 343 m/s

Q: nterference patterns are produced when two sources of waves are placed side by side. A. True B.…

A: Interference of waves are observed only when the sources are coherent. By coherent sources, we mean…

Q: 2.2

Q: An automatic focus camera is able to focus on objects by use of an ultrasonic sound wave. The camera…

Q: A man strikes one end of a thin rod with a hammer. The speed of sound in the rod is 15 times the…

A: Let L be the length of the rod It is given that the speed of the sound wave in the rod is equal to…

Q: 1 Find the sum of 1+ 12 + --, using Fourier series expansion if f(x) = a when [0,1] and 2 T-x 32…

A: We have given series1+112+132+152+................+1(2s+1)2if f(x)=a when (0,π)and 2π-x, when (π,2π)

Q: 31. Neatly draw the second resonance point (2nd overtone) for the following closed end tube. Also…

Q: The wavelengths of visible light range from 400 to 700 nm. A-What is the maximum frequency of…

Q: 6. Find the dimensions of o and k in the wave equation y = a sin (@ t - k x), where x is distance…

Q: Rank these scenarios on the basis of the angle of the first interference maximum. Rank from largest…

Q: 15. You are watching a baseball game on television that is being broadcast from 4500 km away. The…

A: Distance = speed x time

Q: Blue light can have a wavelength of 4.60 x10-7 m. What would the frequency be for this light? O 2.73…

A: The wavelength, λ=4.60×10-7 m The speed of the light, c=3×108 m/s

Q: Fixel. the warelenght ? FSreq uency speed- %3D 220 Hz wara speet = 11o m/s 11 o m/s %3D

Q: A few light waves of different wavelengths are propagating in air. With the provided information,…

A: Given: speed of sound in air = 343m/s wavelengths are propagating in air, (a) λ=100 nm (b) λ=40…

Q: In classic mechanics, wave motion shows which of the following properties that particel motion does…

A: Interference was used to conferm the wave nature of the light as if light doesn't have wave nature…

Q: As Section 17.3 discusses, high-frequency sound waves exhibit less diffraction than low-frequency…

A: Given, Highest frequency, f=2x104 Hz Speed of sound, v=343 m/s Width of doorway, W=1.1m

Q: Ch 27, problem 12 Multiple-Concept Example 7 reviews the concepts important in this problem. You are…

A: Given,

Q: 1) You stand at the edge of the Grand Canyon and shout out, “Eureka!" 6.57 seconds later, you hear…

A: Given data The time duration is given as t = 6.57 s. The speed of the sound is given as v = 345…

Q: Red light has a frequency of 4.0 x 10+4 Hz and a speed of 3.0 x 10° m/s. What is its wavelength?…

A: The wavelength of a light wave is defined as the distance between the crest and trough of a wave.…

Q: 2. At what angle is the numerical value of the maximum height greater?

Q: 1. For the function o = xy? + yz? at the point (1, 2. -1). find its rate of change with distance in…

Q: 8. You're gonna need a bigger boat... A boat moving eastward at 19.4 knots (10m/s) is monitoring an…

Q: The speed of a light wave in a certain transparent material is 0.553 times its speed in vacuum,…

A: Refractive index of the material is,

Q: (4). How many times greater is the speed of red light (2 = 700 nm) than the speed of violet light (=…

Q: 3. Use the tmin/to method to interpret the time-distance data given and answer the following…

A: Draw the graph for tmint0 from the given table as below. Draw the graph for t2-x2 from the given…

Q: 14) If at t = 0, an element at x = 0 has a vertical displacement y = -0.025 m and is moving upward,…

A: wave equation is y(x,t) = 0.05 sin(3πx — 18πt + ϕ) we have to find out ϕ phase angle when t=0 , x=0…

Q: 71 81 10 11 12 13 13 14 15 16 17 18 19 20 21 22 23 1 22 23 24 25 26 27 28 29 30 31 32 33 34 35

A: We were asked to measure the displacements from the small burn mark or yo. We measure the distances…

Q: 27. Which wavelength is not a possibility for a 1 m long pipe open at both ends? O A. 0.25 m B. 0.5…

A: length of pipe = 1 m Using formula for pipe open at both ends :λ = 2L/n where λ is the wavelength ,…

Q: What is the width of a reticle division at 400X total magnification? Question 5 options:…

A: We have to choose the correct alternative for the width of a reticle division at 400X total…

Q: Frequency and wavelength are related by the speed of light. c = Xv So we can solve for the frequency…

Question

36
The value of a and b for which
MSQ
the function f(x)=x³+ax²+bx has
local minima at x=4 point of inflection at x=1 are
а-3,
a=-3
C
b= 24
b=-24

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

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

When dots are placed on a page from a laser printer, they must be close enough so that you do not see the individual dots of ink. To do this, the separation of the dots must be less than Raleigh’s criterion. Take the pupil of the eye to be 3.0 mm and the distance from the paper to the eye of 35 cm; find the minimum separation of two dots such that they cannot be resolved. How many dots per inch (dpi) does this correspond to?
can you check if the first 3 are correct and also help me figure out what the last one is?
When using these equations to solve for thickness needed for film in order to cancel/keep light wavelengths, is it possible for m = 0?
Show that for the Wein’s Displacement Law, the value ofA is equal to 2.89 x 10-3mK. Where ?max represent the wavelength.
What is the width of a reticle division at 400X total magnification? Question 5 options: 0.0125 mm 0.005 mm 0.125 mm 0.00125 mm
An airplane is above a straight road on which are two observers 1640 m apart. At a given signal the observers take the angles of elevation of the airplane, finding them to be 58⁰ and 63⁰, respectively. Find the height of the plane.
I need help solving the equations symbolically and I don't know how to get the m value for the first part.
Solve (12.3) if G = 0 and dG/dt = 0 at t = 0 to obtain (12.5). Hint: Use L28 andL3 to find the inverse transform.
Rank these scenarios on the basis of the angle of the first interference maximum. Rank from largest to smallest. To rank items as equivalent, overlap them.
Show solution in Gufsa format. TYSM.
Check Your Understanding Going further with Example 3.4, what are the next two thicknesses of soap bubble that would lead to (a) constructive interference, and (b) destructive interference?
At what angle is the fourth-order maximum for the situation in the preceding problem?