18. Fill in each blank with an interval of real numbers. (a) The function f(x) = cosx has domain and range (b) The function f(x) = csc x has domain and range (c) The restricted tangent function has domain and range (d) The function f(x) = sec-1x has domain and range

Q: 8. Let f(x) = √25 - x² and g(x) = sinx. a) Graph f(x) and describe its shape. Is this function even,…

A: Given functions are f(x)=25-x2, g(x)=sin(x) Solution a: Since f(x)=25-x2 and f(-x)=25-(-x)2=25-x2 So…

Q: y = x + 2 sin x (-л, π)

A: we need to find out the intervals where the given function is concave up and concave down.

Q: write sin(3x)cos(6x) + cos(3x)sin(6x) as a single trig function

A: This question is related to Trigonometric identities, we will solve it using given information.

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: Describe the behavior of the function as x approaches zero. f(x)=(|x|/4)sinx a. f--> +infinity as…

A: limx→ 0x4sinx use direct methodlimx→ 0x4sinx=04sin0limx→ 0x4sinx=04x0         (sin0=0)limx→…

Q: Find an analystic function whose real part is e-x (x sin y-y cos y)

A:

Q: f(x) = 2 sec (-) + 1 2

A:

Q: Explain why f(x)=sinx is an odd function.

A: We have to explain the given function is odd function: fx=sin x We know for odd function it must be…

Q: Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and…

A: In the question it is asked to draw diagram for f(x)=x(x-3)(x+3). Also it is asked to draw…

Q: Explain how to transform sin x into the function f(x) = -sin x. 4

A: To transform the function sin(x) into the function f(x) =-14sin x, we can apply a vertical stretch…

Q: (е2х-1)2 dx е 2х

A: topic - indefinite integral

Q: As the speed of a train increases, the amount of power needed to maintain that speed increases, and…

A: