Let f(x) = sin(x). Verify the identify f(x+h)-f(x) h - sin (h) h cos(x) - sin(x) 1 - cos(h) h

Q: plot the function f(x)=x*sin(x)-cos(x) to show that it has one root at the interval [0,pi/2]

A: The given function is  defined in the closed interval .We shall fill the following tabular column.…

Q: Let f(2) = - 8 cos x + 9 tan e f (2) = (-) = C 4

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Q: Let f(x) = sin2x and g(x) = cos2x. Determine whether h(x) is in span(j(x), g(x) ) h (x) = sin 2x

A: We have to determine whether the function hx=sin2x is in the span of the functions fx=sin2x and…

Q: Differentiate. f(x) = x cos(x) sin(x) (please write it out on paper)

A:

Q: Let f(x) = sin2x and g(x) = cos2x. Determine whether h(x) is in span(j(x), g(x) ) h(x) = cos 2x

A: Given  f(x) = sin2x, g(x) = cos2x and h(x) = cos2x Then, we have to determine h(x) is in span(f(x),…

Q: ) Define the domain and range of f(x) where f(x) = sin²(x) – 1

A: The function f(x)=sin^2(x)−1 is defined for all real numbers x because the sine function, sin(x), is…

Q: Graph off (x) = cos2 x - 2 sin x/4.

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Q: 1 Let f(x) = (5 sin x + 8 cos a)tan f'(x) =

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the product rule for…

Q: Let f(x) = sin2x and g(x) = cos2x. Determine whether h(x) is in span(j(x), g(x) ) h(x) = 1

A: The given functions are, f(x)=sin2x, g(x)=cos2x, h(x)=1. To Check: Whether the function h(x)=1 is in…

Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: If sin(x + y) – sin(x – y) = 2f(x) sin y, then f(x) is equal to C. tan x D. cos? x A. sin c В. cos x

A: Given; Sin(x+y)-Sin(x-y)=2f(x)Siny

Q: Graph the function f(x) = cos(x) + sin(x) by first graphing y = cos x and y = sin x on the same axes…

A: Table values of sinx x sin(x) 0 0 π4 12 π2 1 3π4 12 π 0 5π4 -12 3π2 -1 2π 0

Q: f(a) tan(x) + sec(x) simplifies to where cos(x) f(x)

A:

Q: Describe with a sketch the end behavior of f(x) = cos x.

A: Given:            f(x) = cos x  The cosine function oscillates between values -1, 1 as x→∞ Hence it…

Q: Determine f " (x) a. f(x) = cot (4x) + csc (x) b. f(x) = sin2 (x) tan(x)

A: Given a. f(x)=cot4x+cscxb. f(x)=sin2xtanx

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: a) i) the two-point forward difference formula gives f'(xo) × ii) the absolute error in this…

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

Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: Find f. f"(x)  =6 x + Sin x

A: Given: f"x=6x+sinx we know that f'x=∫f"xdx                                      ..1 so, by using…

Q: et f(x)=-11sin x+3 cos x f' (x)=?

A: f(x)=-11sin x+3 cos x this is given  we have to differentiate the function  dsinx/dx = cosx…