Consider the following function f: R -> R,whose criterion is f(z) = 43x' + 6x – 5 + e9(z) with g a differentiable function and a real constant. If it is known that g (a) = 0; g'(a) = 9 then the expression f''(a) corresponds to a) f"(a) = 258a | 81 +g"(a) b) f"(a) = 258a + g" (a) c) f"(a) = 258a +9 + g*(@) d) f"(a) = 258a+ 9g" (a) |3D

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: For the function f(x)=√x+3 ifx<2 2x-3 ifx22 evaluate the following: ,

A: Function f(x) is two different value of different value of x

Q: Define F : R → R and G : R → Z by the following formulas: F(x) = (x^2)/3 and G(x) = ⌊x⌋ for every x…

A:

Q: Let f be a differentiable function such that 2 < f'(x) < 4 for all values of x. Show that 10 < f(12)…

A:

Q: 1. State the domain and range of f(x) = /9(x - 4) + 2 D:[2,00) A. D:[4,00) В. D:[4,00) D:[2,00) D.…

A:

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

A:

Q: 4. For f(x) = x² – 3x, evaluate a) f(2) [2,3,3] c) the value of x when f(x) = 4 b) f(m + 1)

A: Given,              f(x)=x2-3x

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: 3. State the domain and range of f(x) = –- 2 D:(-x,0] А. D: В. D:[-2,0) C. D:[1,0) D. R:(-0,-1]…

A: To state the domain and range of,fx=-12-x-1

Q: Use the linut definition to Compute f(x) when f)-at. the derivative f(x) when f)-2+L

A:

Q: 2. Consider the function f(x) = e¯x -x5-x7 (a) Use the Intermediate Value Theorem to show that there…

A: We first recall definition of intermediate value theorem: if is a continuous function whose domain…

Q: I understand the process of proving 1-1 and onto, however, how did you obtain the function f(x) =…

A:

Q: Determine the domain of the following functions: За — 6 a) a(x) b) b(x) = /5 – x c) c(x) = 3x4 –…

A: We can find the domain of the given functions as below.

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.