Consider the following equations. f(x) = Vx +9 g(x) = x+9 Sketch the region bounded by the graphs of the functions. 12 10 -4 y 6 y 6 -10 -12 12 -7 11 10 -10 -11 7 12 0 3 Find the area of the region. 1.

Q: Find the x-coordinate of the point where the function f(x) = x5 5 - x4 7x3 13x² + - 6x 4 3 2 has a…

A: Given Find first derivative f'(x).Now equate f'(x) = 0.The x-coordinates of the stationary points…

Q: The function  y = 4 − 16x2  intersects the x-axis at the following values of x.

A: Consider the parabola equation y = 4-16x2. Remember that the yth coordinate of the points on the…

Q: Given the functions g(x) = 5x + 1 find g-1(x)

A:

Q: The functions f and g are defined as follows.= f(x) =+ 2x3 +6        g(x) = −3x + 2 Find f(−2) and…

A: The functions f and g are defined as :…

Q: x*+8x-20 f(x) = x-9

A: The function is given  by f(x) = x2+8x-20x2-9 To evaluate : The values of x for which f(x) = 0

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.