An airplane is cruising at 350 km/h at an altitude of 4000 m. If the plane passes directly over an observer on the ground, how fast is the distance from the plane to the observer changing when it is 5000 m away from the observer? O None of the choices O 54.66 km/h O 210 km/h O 0.21 km/h O 273.3 km/h

Q: Question 38 Find the slope of the tangent line to the curve below at the point (8,4). √2x + 3y + 3xy…

A:

Q: Exercises In each exercise, obtain the differential equation of the family of plane curves described…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. What is the slope of the tangent to f(x)=√√x-1 at (5,2)? Show your work. a. 1 C. 2 4 b. 1 2 d. 4

A:

Q: (42) The graphs of a function f and its tangent line are given below. In addition, suppose ƒ'(4) =…

A: The given details of function f(x):f'4=23f(4)=5

Q: e length of the curve given by x = 40 <y< 2. State

A:

Q: Previous Problem Problem List Next Problem (1 point) Find the slope of the tangent to the curve y"…

A:

Q: Find the length of y = 16x 3/2 between x = 0 and x 3. Length of curve D (Round to two decimal places…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = (x - 5)/(x − 6), (7,2)

A:

Q: Find the derivative of the function using the definition of derivative. B(p) = 2/p B'(p) =

A:

Q: (2) For h(z) = Vz+, (a) Find the slope of the tangent line when z = 4. (b) Find the equation of the…

A:

Q: (3) (Course Average-Extra) The final grade of a student in this class is converted from a numerical…

A: Step 1: List down the given and what we need to solve for.E = 78S = ?T1 = 80T2 = 57 + 0.2X2 X2 =…

Q: Determine the points where the curve f(x) = 2x3 + 3x2 – 36x + 1 has a horizontal tangent. -

A:

Q: Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1)…

A: We an find the point if the given function where the slope of the tangent line is 1.

Q: 2x-5 Find the equation of the tangent line to the graph of f(x) = at the point at which x+1 x = 0.

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.