sider the function f (t) = –2t³ – 6t² + 8 on the interval [-1, 2]. of values of c for which such that f' (c) is equal to the slope of the ing through the points (-1, ƒ(-1)) and (2, f (2)). Use set ros round the elements to the nearest hundredth. Write elements in asc er.

Q: f(x + h) – f(x) -2h(x + 3) – h? h(x +h + 3)2(x + 3)2 se that . Find the slope m of the tangent lir h

A:

Q: Let f(x) = x'. Find the slope of the line through the points on the curve y = f(x) where x = -2 and…

A: Let fx=x3. We have to find the slope of the line through the points on the curve y=f(x) where x1=-2…

Q: For each sign chart for f'. Carefully sketch the graph of both functions f and f'. Upload your work…

A: Given: The sign chart for f' is

Q: Which of the following statements is FALSE? a) The average rate of change is the slope of a secant…

A: Average rate of change of a function y=f(x) is  ∆f∆x

Q: 9. y = 3x2 – 2vx at (1, -9)

A: To find slope.

Q: Find all points on the graph of 3x2 + 6y² + 3xy = 64 where the tangent line is horizontal. y X.…

A:

Q: 2. Match the functions with its graph. y = Vx – 3 b. y = 3 vã c. y = v – 3 d. y = v-x+ 3

A: Part a,Given,         The function is y=x-3.

Q: Use the graphs (see attached) of f and g to find (f + g)(-3).

A: we know that f+gx=fx+gx so, according to given graphs f+g-3=f-3+g-3=4+1…

Q: 3 s(1) =v° (v* + 2v=1) f(v) =

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.