Write a function of the form f(x) = A sin(Bx-C) for the given graph. Express your answer in terms of simplified fractions if necessary. परिसरमा 24 f(x) = _ H sino T
Find zw. Leave your answer in polar form. TT TT z= 8 cos + i sin 10 10 JT TT w=7 cos 11 + i sin 11 ZW= [cos + i sin (Reduce any fractions. Describe the angle using radians between 0 and 211.)
Write the first three terms of the binomial expansion, expressing the result in simplified form. (x + 736 : The first three terms of the binomial expansion are (Simplify your answer.)
If tan = TT TT << 2 2 then sin =
sin (x - 1) x-TT x <T Given f(x) = x2 · Tex + 1, x > Determine if the graph is continuous at it (Show all work)
write answer in exact simplified form
Given the functons: f(x)=xº+5x g(x)=5x h(x) = 5x-3 Evaluate the function (f •)(r) for x =-2. Write your answer
3. Locate the centroid x of the shaded area. y = a sin a (TT
7 TT 5. For the following series, 1 1 sin + - sin + = sin + sin +. 4 2 9 3 16 4 (a) (5 points) Write the general term an (b) (15 points) Determine whether the series converges or diverges by using integral test. Hint: In the integral use u = substitution. n
land Find the derivate of each function write it in simplified form without negative exponents. b. f(x) = 4x sinx²
TT 1) Consider the following signal x(t) = -5 + 9 sin (61t + 3 cos(12nt) + V V7ej24nt a) (5 points) Write the complex exponential Fourier series for x(t). b) (5 points) Sketch the amplitude and phase spectra of x(t). c) (5 points) Find the total average power of the signal.