Find the derivative of each function at the given point and interpret the physical meaning of this quantity. Include units in your answer  The gravitational force of attraction between two masses separated by a distance of x meters is inversely proportional to thesquare of the distance between them, which implies that the forceis described by the function F(x) = k/x2, for some constant k,where F(x) is measured in newtons. Find F′(10), expressing youranswer in terms of k

Q: dv -vW, dw vw – kw +

A: On solving LHS and RHS separately: LHS: RHS: Thus LHS and RHS are equal only if I=1/at

Q: Find the Absolute Error (A.E) and relative error (R.E). Also, determine the number of significant…

A: The quantities are  i) a=5.6543612 , a'=5.5543612Absolute…

Q: Find the dimensions of the following quantities. Energy (force times distance)

A: Ans:- The nature of physical quantity is described by nature of its dimensions. When we observe on…

Q: value. (104, 106.8) 100- 80- (57,63.8) 60+ (68, 63.8) 40+ 20- 20 40 60 80 100

A: This problem can be solved using calculus or from the properties of the graph itself. Here I am…

Q: An ant is crawling along a straight wire, which we shall call the z axis, from A to B to C to D…

A: The motion of an ant along x-axis from  to  to  to .The point  is origin.The distances are as ,  and…

Q: Two conductors are made of the same material and have the same length. Conductor A is a solid wire…

A: Given: Length of the conductor A,LA=lLength of the conductior B,LB=lDiameter of the conductor A,…

Q: For the graph of vx versus t shown, estimate the following: i) What is the slope of the tangent line…

A: The above problem can be solved in two different ways. The first method using the two-point formula…

Q: The mean anomaly of the Pluto was 12.140 degree on July 1st in 1998. The eccentricity of the Pluto…

A: Given, Mean anomaly, M=12.14 Eccentricity, e=0.249 According to Kepler's equation the eccentric…

Q: Find the derivative of the trigonometric function. g(t) = 3 cos² (πt) g'(t): =

A: Functions are given as and Note:Find:Derivatives of given functions.

Q: 1. In this problem you will prove that the shortest distance between two points is a line using the…

A:

Q: *1.12 In a certain vibration problem the differential equation describing the motion of a particle…

A: Each term in the above equation has the dimensions of Force(F) because the first term is mass (m)…

Q: A block A, placed on a horizontal surface with friction, is connected by a rope passing through a…

A:

Q: If we have trial functions, which depend on n, of the form 6,n = x"exp(-ax). We are interested in…

A:

Q: Explain in detail, using definitions and diagrams as needed, what exactly a scalar integral…

A: A line integral  of a scalar-valued function can be considered as a generalization of the…

Q: Part A 12 10 3 11.76 4 15.61 8 18.6 6. 22.02 26.23 4 8. 30.92 35.46 10 42.7 10 15 20 25 30 35 40 45…

A:

Q: F(r) = A B p² p3 +

A: Have a look dear

Q: Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function…

A: Given: Amount function,  h(x)=103 Saving function, sx=1.03x-1 To find: Total amount of money in bank…

Q: 14. 2 22

A:

Q: In an experiment, you control variable A (the independent variable), and measure variable B (the…

A: GIVEN  A is the independent variable and B is the dependent variable To find out Which variable will…

Q: Find the constant, k, in units N/m from the equation: m=2π/√k where m= 0.0566 sec/kg^0.5  (Note that…

A:

Q: Compute the average value of f(x) = 4xe* on [0,3]

A: Let f( x ) be a function, then the average value of f( x ) between an interval [a, b] will be given…

Q: If you had taken only one measurement for the period of the pendulum, with the same apparatus, what…

A: 1) If you had taken only one measurement for the period of the pendulum, with the same apparatus,…

Q: • The box has a mass of 20 kg The lift accelerates upward at a rate of 6 m/s? Ramp has an elevation…

A:

Q: Here q, = 10 µC, q2 = -5 µC, and q3 = 5 µC. The distance is a = 1 mm. Calculate the force on 93. You…

A: Given that, the value of charge q1 and q2 and q3 and distance (a) is also given. Then We have to…

Q: 0 IVE| ΑΣΦ Submit ▾ Part L Request Answer Submit Find the distance the ant moved over the interval…

A: Given AB = 44 cmBC = 20 cmAO = 4 cm

Q: Light in vacuum is incident on the surface of a slab of transparent material. In the vacuum the beam…

A:

Q: One mole of Gold (Au) atom has a mass of 197 g. We know that the density of gold is 19.30 g/cm3 in…

A:

Q: Using a diagram, express cylindrical coordinates (ρ, φ, z) in terms of spherical coordinates (r, φ,…

A:

Q: Many equations have been developed by previous researchers. One of the established equatior…

A: Detailed solution of this question is given in below steps.

Q: Determine the value/s of x using complex number conversions and operations. Express answers in…

A:

Q: In the diagram, the point A is at (3.2, 2.9) and the point B is at (2.7, 6.8) (All units in cm).…

A:

Q: Find the dimensions of the following quantities. Energy (force times distance)

A:

Q: Is my work good for 19 b)? I am not sure if it makes sense to do it this way please let me know :)…

A: It is given that,

Q: 6. A rectangular box has dimensions 2 m x 4 m in the x-y plane, and 2 m x 8 m in the y-z plane. If…

A: Given, A rectangular box has dimensions 2m×4m in the xy -plane and 2m×8m  in the yz plane.

Q: Just before 1=1 k x=0 x=x; k v m x=0 x=x; |5|=0 m

A: Step 1: At t = ti , x=xi and v=0, ΔkB = 0 ,  ΔUB = 0.5*k*xi2  and W = 0.5*k*xi2  Step 2: At t=t ,…

Q: Question 6: The volume of a box with sides of length a,b and c is V = abc . The surface area of the…

A: Given V= abc S = ( ab+bc+ac) Derive an expression for the change in the volume associated with…