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 .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

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: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: Find the slope of the secant line which connects the points (-2, 4) and (2, 0) on the following…

A:

Q: Find the value(s) of x such that the distance between the points is 5. (7, 2), (x, −1)

A: The distance between the point (x1,y1) and (x2,y2) is given as d = (x1- x2)2 + (y1 - y2)2

Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: Create a 3-D plot of the function sin(/x² + y²) Vx² + y² for -8 <x5 8 and –8 < x < 8.

A: Note: Here, we are considering -8 ≤ x ≤ 8 and -8 ≤ y ≤ 8 rather than -8 ≤ x ≤ 8 and -8 ≤ x ≤ 8. We…

Q: Find the value of y when x = 9. given that the function is y = 3sin (x +") – 5. - 5. 4 3

A:

Q: Find the slope in the x-direction at the point P(0, 2, f(0, 2)) on the graph of f when f (x, y) 3(y?…

A:

Q: Estimate f(2.06, 3.91) assuming that f(2,4)= 5, fx(2, 4) = 0.3, (Use decimal notation. Give your…

A:

Q: Answer the following question

A:

Q: Q3/ Determine whether the following functions are harmonic or not. 1. 3xy + 5xy - 2y 2. 3x²y + 2x -…

A:

Q: What is the slope of the function? f(x) = x² +xy – y² = 5 at (1,1)? A. 3/2 B. No slope C. -3/2

A: we have to find the slope of the function . Given : f(x) =x2+xy-y2=5 at (1,1).

Q: 11.Doe = 8. Find the slope of the secant line. f(x) x-8 3x+4 X1 = 2, X₂ = 0

A: Here we have to find the slope of a secant line.

Q: V Determine whether the following functions are harmonic or not. 1. 3xy+ 5xy2- 2y3 2. 3xy+ 2x-…

A:

Q: The wave heights h in the open sea depend on the speed v of the wind and the length of time t that…

A:

Q: Let f(x) =4x divided by x -3. Find the slope of the secant lines on the graph of F through P(5, 10)…

A: f(x)=4x/(x-3) P(5,10) and Q (6, a)  (say) a= f(6)= 24/3 =8  Q(6,8) is

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.