Problem 4. A scientist is testing the properties of a dense meteorite. The force of attraction F (in Newtons) between an object with mass m (in kilograms) and the meteorite when they are d meters apart is defined by the formula below F = f(m, d) = 1000- (a) Compute fa(80, 30) and interpret what it means in context of this situation. Round any numbers to three decimals (b) Construct a linear approximation L(m, d) for the force of attraction for a 50 kilogram object that is 40 meters away from the meteorite. Compute L(48,41) and interpret what this means in context of the situation.

Q: 1. Answer ALL parts (a) - (c) The dynamic pressure in GPa from a gas explosion on the ceiling of a…

A: We are to answer part a and b from Question 1The dynamic pressure in GPa from a gas explosion on the…

Q: oblem: After being built, a car must be painted. The revenue, R, in dollars when x cars are painted…

A: In this question, concept of average and instantaneous change is applied. Using the slope formula…

Q: A 10,000 litre rainwater tank is to be built in the shape of a cylinder. It must be at most 3 metres…

A: As per our guidelines we can answer only 3 subparts of the given equation. Kindly repost the…

Q: Solve for d) and e). The answers for a) b) c) I have posted on barterby previously and received.

A: Step 1: Step 2: Step 3: Step 4:

Q: 2) Find the equation of the curve whose slop 12 B) T= r The rate of change of the temperature, T (in…

A: Step 1: Step 2:

Q: 4. A penny is dropped from the top of the tallest radio tower in the U.S., the KVLY-TV tower in…

A: Here we use derivatives to solve this problem.

Q: A billiard ball is dropped from a height of 144 feet. Use the position function s (t) = -16t2 + vot…

A:

Q: ng a straight line while its velocit-

A: Introduction: The displacement is simply the difference in position between the two marks, and it is…

Q: The position of a bird flying on a straight line is given by s(1) = 3 - 21 +1, where s is in meters…

A:

Q: Number 6

A: 6The velocity of a car is given by : v(t)=t2+2t here, v(t) is measured in ft/sec and t is measured…

Q: Problem: After being built, a car must be painted. The revenue, R, in dollars, when x cars are…

A: Given revenue function is  R(x)=1000x-0.01x2

Q: 1 The line / is tangent to the curve y=1-- , where x0, at the point where x = a. Show that the…

A:

Q: A television camera is positioned 4000 m from the base of the Mars Explorer rocket launching pad.…

A:

Q: Currently, the best estimate for the age of the universe is 12.72 giga-years. How did you do?

A: According to Hubble's law formula: v=Hd where v=velocity of galaxy, d=distance of galaxy, H=Hubble's…

Q: What is the equation of the tangent line to the graph of the following function at (2,2)? y=√√√x³ +1…

A:

Q: 4) You are visiting a beach, and the tides for the day of your visit are given by: Tt h(t) = 3+3 sin…

A: As given the sin function in the height of the tide. ht=3+3sinπ6t Use the definition when the sin…