We can use Newton’s Law of Gravity to measure the gravitational attraction between the moon and a PreCalculus student in a space ship located a distance x above the moon's surface: F(x)=(350)/(x^(2)) Here F is measured in newtons (N), and x is measured in millions of meters. a. Graph the function F for values of x between 0 and 10. b. Use the graph to describe the behavior of the gravitational attraction F as the distance x increases.

Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: Graph the function f(x) = cos(x) + sin(x) by first graphing y = cos x and y = sin x on the same axes…

A: Table values of sinx x sin(x) 0 0 π4 12 π2 1 3π4 12 π 0 5π4 -12 3π2 -1 2π 0

Q: One model for expenditures at high school gives the cosr C, in dollars per pupil, as a function of…

A: The quadratic equation, y=ax2+bx+c can be expressed in the vertex form as y=a(x-h)2+k, where, the…

Q: use the graph of y=f(x) below to sketch the following. name and label each function…

A:

Q: A Ferris wheel has a diameter of 40 meters and rotates at a constant speed completing one full…

A: Starting at bottom,Cosine funtion is taken     ...(1)

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

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.