Match the function operation below with its result given that f(x)=x^,g(x)= - 3x?, and h(x) =...
(1 point) Are the functions f, g, and h given below linearly independent? f(x) = €3x – cos(4x), g(x) = 23x + cos(4x), h(x) = cos(4x). If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e3x – cos(4x)) + (83x + cos(4x)) + (cos(4x)) = 0.
*a-h solution* แบบ ฝึกหัด อนุพันธ์ และปริพันธ์ Find the differential of the function below. a) f(x) 3x x+5 , c=-1 2 5x b) f(x) , c0 1+ x c) f(x)-3x-2x d f(x)(x-2)(x +5) 1-2u e) f(u) 1+2u f) y 4tan x+sin x g) ysinxcosx secx h) y 1+xsinx rind the inteeration of +he ,.nctionebelo
4) (15 pts) Given f(x) = -3xº + 5x3 + 3x + V5, calculate f'(x). 5) (15 pts) Given g(x) = 5x3 +67x + m - 2e*, calculate g'(x). 6) (15 pts) Given h(x) = (3x2 + 5e*)(6x4 + 3Vx), calculate h'(x).
Given that f(x) = 3x + 1 g(x) = 5x - 8 and h(x) = 2x – 1 3 Find:- i) f(-4) = ii) g[h(5)] = iii) f[g(3)] = iv) g[h(x)] = vi) h-1(7) =
g) Sketch the graph of f(x) h) Determine the minimum or maximum value of the function. i) State the domain and the range in interval notation. 1. Given f(x)-2-3x (7 points) a) State whether the graph of the parabola opens upward or downward. b) Identify the vertex using the vertex formula. c) Determine the x-intercepts d) Determine the y-intercept. e) Determine the axis of symmetry ) Write the equation of the function fit) in vertex forrm g) Sketch the graph...
Given the functons: f(x)=x² – 3x 8(x) = 13x h(x)=5x+3 Evaluate the function (h )(x) for x= 2. Write your answer in exact simplified form. Select "Undefined" If applicable. (h of)(2) is
QUESTION 10.1 POINT Let h(x) = f(g(2). If f(x) = –3x2 - 4x +2 and g(x) = -1° + 3x + 2, what is h'(-1)? Do not include "W'(-1) ="in your answer. For example, if you found 1(-1)=20. you would enter 20. Provide your answer below:
In this problem we consider only functions defined on the real numbers R. A function f is close to a function g if 3x E R s.t. Vy E R, A function f visits a function g when Vz E R, R s.t. a<y and f() -g) For a given function f and n E N, let us denote by n the following function: n(x)-f(x)+2" Below are three claims. Which ones are true and which ones are false? If a...
fr + h)-f(x) Find h for the given function. f(x) = 3x2-x+1 O 6x + 3h - 1 Oh o 3h2 +6hx - h O1 O 3 - 1
Show that the given function is one-to-one and find its inverse. f(x) = 3x - 1