Exercises 2.4 1. Sketch two perieds of the indicated periodic exensions of the following functions. (a) j(x) = x, 0 SIS1; period - 2; odd extension (i.e., fdx)) (b) j(x) - x. 0sxs1; period 2; even extension (i.e., f.(x)) (c) (x) sin x, 0 sxs, period = 27, odd extension Ntancion

Q: Find the fixed point iteration of the function y=sinx

A: We shall use fixed point iteration to solve this problem.To do this, we have to solve the equation…

Q: 8. Find the function Sthat satisfies the given conditions. )S"(=) = sin r – e-2" with S"(0) = } and…

A:

Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx

Q: 2. Graph y = 4 sin 2x in the interval 0 < x < 2n

A: To Graph:- y = 4Sin2x in [0,2π]

Q: 5. The period of the function f(x)=3cos 5x is 27 А. 5 В. 2 27 C. 3 A' D. 5

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 33-34 For what values of x does the graph of f have a horizontal tangent? Hercnt 33. f(x) = x + 2…

A: we have f(x) = x+2sin x

Q: 3 Calculator active. Line L is tangent to the graph of y = 2 sin x at the point (k, 2 sin k), where…

A: Equation of tangent line L of a curve y=f(x)  at a point (a,b) is given byy-f(b)=f'(a)(x-a)

Q: f(x) =-3 sin 3. Determine the amplitude, period and phase shift of the graph of f(x) for - 2r sxs…

A:

Q: Polynomial Function Leading Coefficient Degree y-intercept X-intercepts Sketch of the graph 1. y…

A:

Q: Choose the correct graph of F(x) = 2 sin (2x+ t): 1 27 37 -1 -2

A:

Q: 7. a) Sketch two cycles of a periodic function f(x), starting at x = 0, with an amplitude of 4, a…

A:

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

A:

Q: Use a graphing utility to graph each function in the Interval (0, 27). y2 cos(x), y 2x + 2 (a) write…

A: Given y=2cos(x)y=2x+2x2interval [0,2π)

Q: 27: let f(x) = tan(x)+ sec(x) find f"(x)

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A:

Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-

Q: Consider the functions h : R→R and g : R -R defined by h(x) = 72 (5 + arctan(sinh 4æ)), . g(x) = 144…

A: Using inverse trigonometric  function properties

Q: 2nt ), where S is the size in 24 The size of a fungus is given by the function S(1) = 3.61 +1.2…

A: