MATH401 Question 3|- functions and numbers A. Prove that cos-¹(-x) = π cos-¹(x) for any real number x satisfying 0 ≤ x ≤ 1 B. A ramp function is given: 5t-3, t>0 t<0 f(t) = 10, Sketch: (1-2) C. Sketch a graph of step function: 4u (1) - 3u(t + 3) + 2u( t - 2)

Q: Sketch a graph of the function f(x) 2 sin(2x). %3D -77/8-31/4-5n/8-/2 -3/8-7/4-T/8 t/4 3n/8- /25/8…

A: Given function is f(x)=-2sin(2x)We know that period of sin(x)=2πThe period of sin(2x) will be π and…

Q: Q5/(A): Find the zero and order of the entire function f(z)=z(e²-1).

A: Function :

Q: 2. Graph of y = f(x): 3 -2 -1- y=f(x) 1 2 3 6 7 -2 -3 4,

A: Consider the given graph: a) Since, the graph is not smooth and there are corners at x = 1, 4.…

Q: determine the value of the parameter a that will make the function f(x) = [ax+1, x- -1

A: The given function is fx=ax+1,    x&lt;-1x2-3,     x&gt;-1 To find: Value of parameter a

Q: Example 2: Using the False Position method, find an approximated root of the function: f(x) = x² –…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: (a) Complete the table of values of f(x) for x = -3, -2, –1,0, 1,2, 3. -3 -2 -1 2 3 f(x) (b) Which…

A: x -3 -2 -1 0 1 2 3 f(x) 0.015625 0.0625 0.25 1 4 16 64

Q: x2 – 4 x2 - 9 Consider the function f (x) a) Find f' and f" and simplify both.

A: Given,           fx=x2-4x2-9

Q: f(t) dt, where fis the function whose graph is shown. Jo Let g(x)=

A:

Q: 10-Draw the graph of y=-2 (x-2)²+3 based on the power function f(x)=x' also determine the domain and…

A:

Q: For each function, sketch the graphs of the function when c = −3, −2, 1, and 2 on the same set of…

A: Note: According to the guidelines only one question will be answered. Please upload other…

Q: Eketch a graph of the function f(x) = 5 sin ( 7x ) 3 6+ 5- 4- 3 -8 -7T -6T -5T -4T -3A -2T ST -2 -3…

A: Given, fx = 5sin13x  We have to sketch the graph of the function

Q: State the domain of the function y=√√f(x) given the graph below y -6 -4 2 6 4 2 y = f(x) a. Domain:…

A:

Q: Consider the function below. f(x, y) = In(x + y - 3) (a) Evaluate f(1, 3). (b) Evaluate f(e, 3) (c)…

A:

Q: Express the function h(x) f(x) ‡ x and g(x) ‡ x. a) g(x) = = X 1 x - 1 in the form h(x) = = b) f(x)…

A:

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: |x² + 2, |x+2, x 1

A: To sketch the graph of the function

Q: Sketch a graph of the function f(x) = -2/2 7 654 3 2 1 -1 - z2 - 3 cos(x) - 2 37/2 2x 57/2 3 7x2

A: The given function can be graphed as below.

Q: Sketch a graph of the function f(x) = 5 cos| 6+ 3 -87 -71 -6 -SA -47 -3T 27 -T 1 2 3n 47 57 6n 7n…

A: Given: The function

Q: Sketch a graph of the function f(x) = -2 sin(x- 3- -3/2-5/4 -TT -3/4-7/2 -70/4 Clear All Draw: ww 2…

A: INTRODUCTION The graph of the function y = sin(x) is a wave that oscillates between the values of -1…

Q: Algebraically explain that cos(x+1) function is DIFFERENTIABLE everywhere over its domain.…

A: f(x) = cos(x+1)