What is the value of this integral ?(according to unit circle)
What is the value of this integral ?(according to unit circle) P 2 4y - ydy...
12 1. (2 points) The point P(x, y) is on the unit circle in Quadrant IV with x = 19 Find the value for y. 57 2. (2 points) Find the terminal point P(x, y) on the unit circle with t 3
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
2. (3 pts.) Let C denote the unit circle, oriented clockwise. Evaluate the line integral ydx dy in two different ways: first by parameterizing the curve and using the definition of line integral; then, use Green's theorem.
Find the terminal point P(x, y) on the unit circle determined by the given value of t. 27 3 P(x, y) =( 1 3 2'2 Need Help? Read it Talk to a Tutor
Express the solution of the initial value problem in terms of a convolution integral. (Do not evaluate the integral. There will be an integral in your answer.) y" + 4y = g(t) y(0) = 1, y'(0) = 2
Solve the initial value problem: 34" + 4y' – 4y = e-2 with y(0) = 2, y(0) = 0. (Use the Euler-Cauchy method of characteristics, or the Laplace transform).
15(20 points) Find the value of the integral Cis a counterclockwise oriented circle. C: 13-j-2
Question 5: (17 points) Use Laplace transform to solve the initial value problem V" - 4y + 4y = 2.814 -- 3)y(0) = 1, (0) = 2 (If you use convolution theorem for an inverse Laplace transform, you need to compute the integral to express your answer explicitly in terms of t.)
(proof)
n all 26. Let P(z) = 0 stand for an the zeros of which are in the unit circle |z| < 1. Replacing each coefficient of P() by its conjugate we obtain the polynomial P(2). We define p*()=P( The roots of the equation P(z) + P*(2) = 0 are all on the unit circle |z| = 1 algebraic equation of degree
n all 26. Let P(z) = 0 stand for an the zeros of which are in the unit...
slove it fast please
Solve given IVP. (t +2y)dt +ydy=0; y(0)=1 and Select the correct value of c. O a. None 1 O b. 2 Oco Od. 1 O e. -1
Evaluate the integral. 2 V4-y2 aproba o por con 2x+4y dz dx dy