Verify the identity. (3 cos 0-6 sin 0)2 + (6 cos 0+3 sin 0)2 = 45 Choose the sequence of steps below that verifies the identity. O A. (3 cos 0-6 sin 0)2 + (6 cos 0 + 3 sin 0)2 = 9 cos - 36 sin 20 + 36 cos 20+9 sin ?e =9 (cos?0+ sin 20) +36 (cos 20+ sin ?e) = 9+ 36 = 45 O B. (3 cos 0 - 6 sin 0)2 + (6 cos...
(3) [1 point] Section 7.3 # 25: Use formula (6) and the fact that ỵ (os bt} (s) to help determine (a) t cos bt) and (b) (t2 cos bt) E(t"f(t)) (s) = (-1)_rdm(s). (Formula 6) ds"
Use the fact that Due in 23 minutes cos(w) - cos(w) = 2 (- 1)"w2n (2n)! to evaluate the following integral to within an error 0.01. cos(1.4.)dx. Estimate = Preview How many non-zero terms of the Maclaurin series did you use to approximate this integral? Preview Now estimate the error of the approximation. error < Preview
Solve the following using the Method of Frobenius (y -2n-oanx+') Hint: Use the fact that e-x-1-X++X 3! 2. xy" + (1-x)y'-y-0 Solve the following using the Method of Frobenius (y -2n-oanx+') Hint: Use the fact that e-x-1-X++X 3! 2. xy" + (1-x)y'-y-0
Use the definition of scalar product, a b-ab cos e, and the fact that a a-70i+7.0j+7.0f and b4+70+8.o. b-apM by + to calculate the angle between the two vectors given by Units is +/-S%
1. Consider the differential equation: 49) – 48 – 24+246) – 15x4+36” – 36" = 1-3a2+e+e^+2sin(2x)+cos - *cos(a). (a) Suppose that we know the characteristic polynomial of its corresponding homogeneous differential equation is P(x) = x²(12 - 3)(1? + 4) (1 - 1). Find the general solution yn of its corresponding homogeneous differential equation. (b) Give the form (don't solve it) of p, the particular solution of the nonhomogeneous differential equation 2. Find the general solution of the equation. (a)...
Use your unit circle to fill in the tables below: 5/6 2/3 cos(8) COS(-6) 1/4 sqrt2y2 sor/22 11 ! Based on the table above, which of the following statements about the cosine function could be true? (Select all that apply.) A. The equation cos() = cos(- 6) is true for all angles 8. B. The equation cos(0) = -cos(-6) is true for all anglese C. Cosine is an odd function D. Cosine is an even function E. None of the...
4.15. Use phasor techniques in the following. (a) Find 2 cos(100t - 459) – 3 cos (100t + 60°) (b) Find 50 sin(100t) + (d/dt) cos (100t - 30). Hint: Do not take the derivative in the time domain; replace it by jo in the frequency domain. (c) Use phasor techniques to evaluate the derivative the formula in the time domain and transform of i(t) = 20 sin(500t) at t = 2 ms. Hint: Write into the frequency domain, using...
Use the definition of scalar product, a·b = ab cos e, and the fact that a . b = axbx + aP7 + azbz to calculate the angle between the two vectors given by a-301+3.0, + 3.0k and b-8.0 + 7.01+9.0k arie Numbe UnitsT (degrees)
please answer 1,2 and 3! 1. 2. 3. Verify that the equation is an identity. (Hint: sin 2x = sin (x + x)) sin 2x = 2 sin x cOS X Substitute 2x = x + x and apply the sine of a sum identity. sin 2x = sin (x + x) (Do not simplify.) Use the given information to find (a) sin (s +t), (b) tan (s+t), and (c) the quadrant of s + t. 3 12 and sint=...