Practice 2:If y = cos' ¹ x, proveHint: use the equivalent statementdifferentiation.dydx=1√₁-x²y=cos ¹ x = cos y = x, where 0

Answered: Image /qna-images/answer/11522518-76ac-45e0-8eac-87f581bda07a.jpg

Answered: Practice 2: =cos'¹ X If y=co , prove dy…

Science

Physics

Practice 2: =cos'¹ X If y=co , prove dy dx VIX y =cos ¹ x cos y = x, where 0

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 32PQ

See similar textbooks

Related questions

Q: A man pulls a crate with a rope. The crate slides along the floor in the horizontal direction (x…

Q: Quantam mechanic Find the commutators [Px, x], [P2,x] ●

A: We find out the commutators-

Q: An object 1.5 cm high is held 3.25 cm from a person’s cornea, and its reflected image is measured to…

A: Height of object, Object distance, Height of image,…

Q: An ice skater is spinning on frictionless ice with her arms extended outward. She then pulls her…

A: The rotational kinetic energy is given as,Here, ω is the angular velocity of an ice skater and, I is…

Q: 5. A point charge is placed at point p as shown in the diagram below. q1=6 μC, q2 = -3 μC Р 91 3m 4m…

A: Given q1 = 6 µCq2 = -3 µCq1 and q2 are placed as shown in the figure.I have to finda. the total…

Q: During the spin cycle of your clothes washer, the tub rotates at a steady angular velocity of 31.1…

A: The steady angular velocity of the tub is The time of the spin is

Q: 2) A 3 amp current flows in the +z direction (out of the page) 3mm away from a 2 amp current which…

A: The right-hand rule for magnetic field direction states that if you point your thumb in the…

Q: The figure below shows a Force (in N) and displacement (in cm) graph for a spring. The Fas value is…

Q: A blue puck with a mass of 4.50×10-2 kg, sliding with a velocity of 0.230 m/s North on a…

Q: T77. What is the speed of a particle if the kinetic energy is equal to the rest energy?

A: (a)The expression of kinetic energy is given by,...…(1)Here, m is the mass of the particle, c is the…

Q: Consider the circuit shown in Figure 4, where R1 = 1.0 kΩ, R2 = 2.0 kΩ, R3 = 5.6 kΩ and the power…

Q: A 65.0-kg file cabinet is sliding down a rough ramp for a distance of 5.00 m from rest as shown. The…

A: The mass of the cabinet is The displacement of the cabinet along the ramp is The frictional force on…

Q: Three 87.0 g masses are connected in a triangular shape by massless rigid wires as shown in the…

Q: 1. Calculate the net torque about point O for the two forces applied as in the figure. The rod and…

Q: fire engine's siren is 1400 Hz at rest. Assume that the speed of sound is 343 m/s in air. 1) What…

Q: As the rotational speed of a space habitat increases, the apparent weight of people inside A.…

A: Let, mass of a man is = m Acceleration due to gravity at that position is = g' Rotational speed is =…

Q: 5.7. A janitor is pushing a 9.0 kg trash can across a level floor. The coefficient of friction…

A: Mass of trash, Coefficient of friction,

Q: Three charges, +3.3 μC, 4.2 μC, and -7.4 µC, are located at (-0.18 m, 0.18 m), (0.51 m. -0.30 m),…

A: Given that , 3 charges are placed at the points as follows to find out the direction…

Q: The Force of friction acting on a block of mass (m) being towed up a ramp tilted at 0° (measured to…

Q: Suppose two children push horizontally, but in exactly opposite directions, on a third child in a…

A: Free Body Diagram:Given,The force exerted by the first child is The force exerted by the second…

Q: 17.184 Bar AB has a constant counterclockwise angular velocity of 2 rad/s. The 1-kg collar C slides…

Q: A coin is resting on the surface of a closed book. As you slowly open the cover, the coin remains in…

A: The angle of repose is the maximum angle at which any object remains stable. It's the threshold…

Q: What is the angular speed @o, in rad/s, of an object that completes 6.00 rev every 18.0 s?

A: The number of revolutions in every is Let be the angular speed of the object,

Q: Consider the motion along the straight line r(t) = (1, 2, 7) + t(1,1,1). (a) What is the velocity…

A: Consider the motion along the straight line r(t) = <1,2,7> + t<1,1,1>.(a) What is the…

Q: large freshwater fish has a swim bladder with a volume of 5.0×10−4 m3 . The fish descends from a…

A: Using the work energy theoremThe work done in expanding the swim bladder is equal to the change in…

Q: A doubly ionized molecule (i.e., a molecule lacking two electrons) moving in a magnetic field…

Q: he electric field wave associated with an EM wave is given by E(x,t)= 250N/C sin (wt - 4.85 x 10^7…

A: Electric field associated with an EM wave,

Q: The image below shows the intensity measured behind a double slit with a spacing d = 0.25 mm when…

Q: The electron beam inside an old television picture tube is 0.40 mmmm in diameter and carries a…

Q: A 2-kg block is attached to a spring (k = 600 N/m), where it bounces back and forth without…

Q: What is the angular speed @o, in rad/s, of an object that completes 6.00 rev every 18.0 s? @= rad/s

A: angular displacement θ = 6.0 rev = 6× 2π = 12 radian Time taken = 18 sec

Q: A standing wave pattern is created on a string with mass density p = 3 x 10-4 kg/m. A wave…

A: the mass density of the string,frequency of the frequency generator,distance between the generator…

Q: Hello, can you please help me do this, make sure to do the graph, slope and intercept thanks

Q: A box of mass m moves a distance d across a horizontal floor, its speed increases due to a…

A: Total work done is only due to forces that are parallel to displacement and as displacement or…

Q: Learning Goal: A cyclist competes in a one-lap race around a flat, circular course of radius 140 m.…

A: The radius of the circular course is The time taken by the cyclist to cover entire course is The…

Q: (1) Chapter 5, Problem 6 Circular motion: The Moon is an average distance of 3.8 × 108 m from Earth.…

Q: You observe an electron moving on your screen in a clockwise circle of radius 2.07 cm, at a constant…

Q: Once more, please refer to the figure. This time the charge is 7.98 x 10^-6 C, the magnetic field…

A: Charge, q = 7.98 x 10^-6 CMagnetic Field, B = 2.68 T Electric field, E = 1.70 x 10^5 N/CTotal force,…

Q: 1. Consider the following circuit: VIG Tale V₂ 13 A A R3 RT₁ WW R₂ A a. Write down one junction rule…

Q: loudspeaker having a diaphragm that vibrates at 970 HzHz is traveling at 70.0 m/sm/s directly toward…

Q: Two pinholes in a thin sheet of aluminum are 1.00 mm apart and immersed in a large tank of water…

Q: Particle-X has a speed of 0.730 c and a momentum of 6.240x10-19 kgm/s. What is the mass of the…

Q: You push a file cabinet up a frictionless ramp tilted at 10°with horizontal. The file cabinet has a…

Q: Let's say that a photon has a wavelength of 40 microns (aka micrometers). Knowing that h*c = 1240…

A: Wavelength, λ = 40 μmBut, 1 μm = 1000 nmλ = 40,000 nmValue of hc = 1240 eV.nmEnergy, E = ? in eV

Q: The figure below shows a Force (in N) and displacement (in cm) graph for a spring. The Fas value is…

Q: Four resistors are connected as shown below. R₁ = R2 = R3 = R4 = 12 Q. What is the overall…

A: R1=R3=R4=12 ohm

Q: • Three circuits contain lightbulbs and ammeters (measuring current). The light bulbs and batteries…

A: We need to rank the ammeters reading in the given circuits.

Q: A step index fiber with a large core diameter compared with the wavelength of the transmitted light…

A: Givenangle of acceptance in air = 22°relative refractive index difference( ∆) = 3℅

Q: Question 5.5b: | A light string pulls 0.510-kg block across a frictionless, horizontal table. At an…

Q: 1. Problem. 3 The following forces (all pull) act at a point : 25 N due North ; 10 N…

A: See below

Question

Practice 2:
If y = cos' ¹ x
, prove
Hint: use the equivalent statement
differentiation.
dy
dx
=
1
√₁-x²
y=cos ¹ x = cos y = x, where 0<y <a
and implicit
b

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: Given information and required information

VIEW

Step 2: Calculate required derivative

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 images

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

A block of gold has length 5.62 cm. width 6.35 cm, and height 2.78 cm. (a) Calculate the length times the width and round the answer to the appropriate number of significant figures. (b) Now multiply the rounded result of part (a) by the height and again round, obtaining the volume. (c) Repeat the process, first finding the width limes the height, founding it, and then obtaining the volume by multiplying by the length. (d) Explain why the answers dont agree in the third significant figure.
W A carpet is to be installed in a room of length 9.72 m and width 5.3 m. Find the area of the room retaining the proper number of significant figures.
The solutions you have sent they have solved it for 0.89m which is very easy solution. But since in question it's not mentioned so it should be done for elongation all the time
Deduct 3 q's if really
Show calculations of the volume , density ,and %error in the space below. Block density =2.7
Consider the case when the constant A=3 and τ=4. Plot the graph of y=3e-t/4
The interior of a popular microwave oven has a width W = 15.5 in., a depth D =14.5in., and a height H = 9.25 in. What is the interior volume of the oven in SI units?
Using the Pascal Principle of Compression, Identify the percent error of the given values:
Convert 1 bar to lbm/ft-s2 Please show step by step solution. Thanks.
Answers must be expressed in engineering notation (when the exponent of the base10 multiplier is not amultiple of 3, press ENG or SHIFT+ENG, whichever the case.)Example: 0.06N or 6.0x10-2 N must be expressed to 60x10-3 N or 60mNDecimal places = 2 to 5
Hello, can you also please include the formula that you used to solve this problem? Thank you!
Volume of wooden block Cubic Cm? Cubic inch? Therefore 1 cubic inch___16___cubic cm ? True Value: 1 cubic inch=_____16.39____cubic cm ?