Question

Given the function f(t) = 1/2cos (pi/3 *t) +3pi^2. Which of the following is equal to f'(t)

f'(t) = 1/2sin(pi/3 t) +6pi

f'(t) = -pi/3cos(pi/3 *t)

f'(t) = -pi/6 sin(pi/3 T)

f'(t) = pi/3 sin(pi/3 t) +6pit

Answer #1

Find the length of the curve
1) x=2sin t+2t, y=2cos t, 0≤t≤pi
2) x=6 cos t, y=6 sin t, 0≤t≤pi
3) x=7sin t- 7t cos t, y=7cos t+ 7 t sin t, 0≤t≤pi/4

1.) x(t) = 7 + 5cos(20*pi*t) + 2cos(44*pi*t + (pi/3))
1.1.) What is the fundamental period and frequency of the given
signal?
1.2) Write the Fourier coefficients for this signal
1.3.) What is the average value of the signal?
1.4.) Sketch the spectrum

9. Suppose that tan(alpha)=3/4 and pi<alpha<3pi/2. Find:
a)sin(2alpha), b)cos(2alpha).
10. Suppose that tan(alpha)=-3 and 3pi/2<alpha<2pi. Find:
a)sin(2alpha), b)cos(2alpha).
16. Given theta is an acute angle with cos(theta)=1/4 , find the
value of tan(theta/2)+tan(2theta). Hint: Find each (using half
angle or double angle formulas) and add them up.

1. Evaluate the definite integral given
below.
∫(from 0 to π/3) (2sin(x)+3cos(x)) dx
2. Given F(x) below, find F′(x).
F(x)=∫(from 2 to ln(x)) (t^2+9)dt
3. Evaluate the definite integral given
below.
∫(from 0 to 2) (−5x^3/4 + 2x^1/4)dx

Find the Taylor series for the function f(x)=sin(pi(x)-pi/2)
with center a=1

Let h be the function defined by H(x)= integral pi/4 to x
(sin^2(t))dt. Which of the following is an equation for the line
tangent to the graph of h at the point where x= pi/4.
The function is given by H(x)= integral 1.1 to x (2+ 2ln( ln(t) ) -
( ln(t) )^2)dt for (1.1 < or = x < or = 7). On what
intervals, if any, is h increasing?
What is a left Riemann sum approximation of integral...

Using matlab.
Consider the function s(t) defined for t in [0,4) by
{ -sin(pi*t/2)+1 , for t in [0,1)
s(t) = { -(t-2)^5 , for t in [1,3)
{ sin(pi*t/2)-1 , for t in [3,4)
(i) Generate a column vector s consisting of 512 uniform
samples of this function over the interval [0,4). (This
is best done by concatenating three vectors.)

(1 point) Consider the function f(t)=2sin(t)+2.
If f( t ) is reflected about the horizontal axis, what is the
formula for the resulting function? y= ?
If f(t ) is reflected about the vertical axis, what is the
formula for the resulting function? y= ?

1. The movement of a ball is modelled by the function y=
3sin(pi/2 x ) +7. What is the average rate of change of the
interval 4 is less than or equal to x less than or equal to 6.
2. Solve the equation sin^2x +1= -2sinx for 0 is less than or
equal to x less than or equal to 2 pi.
3. Solve the equation sin^2x + 2sinx-3=0 where 0 is less than or
equal to x less...

Find the Laplace transform of the given function:
f(t)=(t-3)u2(t)-(t-2)u3(t),
where uc(t) denotes the Heaviside function, which is 0 for
t<c and 1 for t≥c.
Enclose numerators and denominators in parentheses. For example,
(a−b)/(1+n).
L{f(t)}=
_________________ , s>0

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 17 minutes ago

asked 34 minutes ago

asked 49 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago