1. Next > For each of the following, determine wo, R and to rewrite the expression...
For each of the following, determine wo, R and 8 to rewrite the expression in the form u = R coswot -s), with 0 < s < 27. a. 6 cos(4t) + 8 sin(4t) wo = R= S= b. –3 cos(97t) – V9 sin(97t) Wo = R= S = =
3.5 Determine the Laplace transform of each of the following functions by applying the properties given in Tables 3-1 and 3-2. (a) xi(t) = 16e-2t cos 4t u(t) (b) x2(t) = 20te-21 sin 4t u(t) (c) x3(t) = 10e-34 u(t – 4) Table 3-1: Properties of the Laplace transform for causal functions; i.e., x(t) = 0 for t < 0. Property x(t) 1. Multiplication by constant K x(t) 2. Linearity K1 xi(t) + K2 x2(t) X($) = L[x(t)] K X(s)...
please answer 1,2 &3! 1. 2. 3. Rewrite the following expression using a double-angle identity. 2 cos 2150 - 1 2 cos 2150 -1 = (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) 15 Given that sin 0 = - and cos 0 <0, determine sin (20), cos (20) and tan (20). 17 sin (20) = (Type a simplified fraction.) Complete the following statement. tan= 1 - cos 20 so tan 210x...
Determine 00, R and 8 so as to write the given expression in the form u = R cos (@ot – 8). u= -2 cos (at) – 3 sin (nt) Enter exact answers. Enclose arguments of functions in parentheses. For example, sin (2x). R= Q 00 = Q 8= Q
Question 9 (1 point) Rewrite the following expression with an exponent no higher than 1. tan (r A) sin2(r) cos2(z) B) 3-4cos(r)-cos(2z) 3+4cos(r)+cos(2a) C)2 +1 cos() sin(r) D) 3-5cos() 3+5cos(a) Question 9 (1 point) Rewrite the following expression with an exponent no higher than 1. tan (r A) sin2(r) cos2(z) B) 3-4cos(r)-cos(2z) 3+4cos(r)+cos(2a) C)2 +1 cos() sin(r) D) 3-5cos() 3+5cos(a)
Consider a particle moving in the plane along the curve r(t) = (R cos(wt), R sin(wt)), where tER, for some constants Row >0. (i) (_marks:) Determine the distance the particle travels for t € [T, 47]. (ii) marks) Suppose the plane has a voltage given by V(x, y) = xy +3. Determine the rate of change in voltage the particle experiences at time t.
For the complex number shown to the right, give (a) its rectangular form and (b) its trigonometric (polar) form with r>0, 0° <0 < 360°. Aimaginary 20- 16 12- (a) The rectangular form is 8 4 real (b) Determine the polar form. Select the correct choice below and fill in the answer box to complete your choice. 4 8 -20 -16 -12 -8 -4 -4. 12 16 20 o -8- A. COS + i sin -12 -167 B. sin +...
For the following exercises, rewrite each expression such that the argument x is positive. cot (-x) cos(-x) + sin(-x) right tr For the following exercises, let f(x) = cos x. On [0, 2 ),solve f(x) = . On [0, 21 ), find the x-intercepts of f(x) = cos x. For the following exercises, find the angle o in the given right triangle.
1 sine = 8,0<o< , find the exact value of each of the following. (a) sin (20) (b) cos (20) (c) sin 2 (d) cos 8 2 (a) sin (20) = (Type an exact answer, using radicals as needed.) (b) cos (20) = (Type an exact answer, using radicals as needed.) 0 2 (Type an exact answer, using radicals as needed.) (c) sin 0 (d) cos 2 (Type an exact answer, using radicals as needed.)
For the complex number shown to the right, give (a) its rectangular form and (b) its trigonometric (polar) form with r> 0,0°se<360°. Aimaginary (a) The rectangular form is 16 (b) Determine the polar form. Select the correct choice below and fill in the answer box to complete your choice. real OA. sin + i cos -2016-12-8-4 4118 121620 OB. sin - i cos O c. COS + i sin OD. cos i sin