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105) Evaluate fi descontos 25 ) dz by any dz by any means, where C is...
1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining...
1. Evaluate the complex integral: ∫C [zRe(z) − z¯Im(z)]dz, where C is the line segment joining −1 to i. (z¯ = z bar) 2. Evaluate the complex integral: ∫ C [iz^2 − z − 3i]dz, where C is the quarter circle with centre the origin which joins −1 to i.
5. Use a substitution and an integration by parts to find each of the following indef-...
5. Use a substitution and an integration by parts to find each of the following indef- inite integrals: (b) | (cos(a) sin(a) esas) de (a) / ( (32 – 7) sin(5x + 2)) de (c) / (e* cos(e=)) dt (d) dr 6. Spot the error in the following calculation: S() will use integration by parts with 1 We wish to compute dr. For this dv du 1 dar = 1. This gives us dr by parts we find dr =...
get the value of the following integrals where c is the circle (abs)z=3 2 dz e*"dz , donde C (z+, uientes: A) φ 2 dz e*"dz , donde C (z+, uientes: A) φ
get the value of the following integrals
where c is the circle (abs)z=3
2 dz e*"dz , donde C (z+, uientes: A) φ
2 dz e*"dz , donde C (z+, uientes: A) φ
Q5) Evaluate $c f(z) dz where C is the unit circle Iz| = 1 and f(2)...
Q5) Evaluate $c f(z) dz where C is the unit circle Iz| = 1 and f(2) is defined as follows a) f(z) = z2+z2+z_ b) f(x) = tan z c) f() = cosha
get the value of the following integrals where c is the circle (abs)z=3 2 dz e*"dz...
get the value of the following integrals
where c is the circle (abs)z=3
2 dz e*"dz , donde C (z+, uientes: A) φ
9.31. Evaluate sc dz/(e 1) where C is the circle lal 3 integrated in the positive...
9.31. Evaluate sc dz/(e 1) where C is the circle lal 3 integrated in the positive sense. Hint: Deform C into a contour C, that bypasses the singularities of the integrand.
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the ...
please calculate directly, my
answer is (3/2)pi+32/3 is that correct?
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the quarter circle +y 1,x 2 0,y 0, from (0,-1) to (1,0) followed by the arc C2 of the quarter ellipse 4z2y2 - 4, 2 0, y 20, from (1,0) to (0, 2)
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the...
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11...
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11 = 2 traversed once counterclockwise.
5. Evaluate the following differentials (a) det? (b) d sinh ở (c) dx sin (d) do...
5. Evaluate the following differentials (a) det? (b) d sinh ở (c) dx sin (d) do y 6. Find the exact values of the following expressions. Justify your answers using the definitions of they hyperbolic functions. (a) sinh (In 3) (b) cosh (In 3) (c) tanh (In 3) 7. Suppose cos 2 + siny = 1 (a) Use implicit differentiation to find y' = dy. Simplify your answer as appropriate. (b) Use implicit differentiation to find y" dy. Simplify your...
Problem 7. (20 points) We consider the function tanh(z) sinh(z) tanh(z)=cosh(z) where , For any integer...
Problem 7. (20 points) We consider the function tanh(z) sinh(z) tanh(z)=cosh(z) where , For any integer 0, we denote by Qe the positively oriented square whose edges lie along the lines z-t(k+1) π and y = ± (k+)π -(km 4p. (a) Show that for any z z + iy e C, |cosh(z)12-sinh2(x) + cos2(y). 2p (b) Recall that tanh is analytic at the origin and that tanh () 1 - tanh2(). Compute the tanh(z) limit l := lim (Problem 7...
5. Use a substitution and an integration by parts to find each of the following indef- inite integrals: (b) | (cos(a) sin(a) esas) de (a) / ( (32 – 7) sin(5x + 2)) de (c) / (e* cos(e=)) dt (d) dr 6. Spot the error in the following calculation: S() will use integration by parts with 1 We wish to compute dr. For this dv du 1 dar = 1. This gives us dr by parts we find dr =...
get the value of the following integrals
where c is the circle (abs)z=3
2 dz e*"dz , donde C (z+, uientes: A) φ
2 dz e*"dz , donde C (z+, uientes: A) φ
Q5) Evaluate $c f(z) dz where C is the unit circle Iz| = 1 and f(2) is defined as follows a) f(z) = z2+z2+z_ b) f(x) = tan z c) f() = cosha
get the value of the following integrals
where c is the circle (abs)z=3
2 dz e*"dz , donde C (z+, uientes: A) φ
9.31. Evaluate sc dz/(e 1) where C is the circle lal 3 integrated in the positive sense. Hint: Deform C into a contour C, that bypasses the singularities of the integrand.
please calculate directly, my
answer is (3/2)pi+32/3 is that correct?
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the quarter circle +y 1,x 2 0,y 0, from (0,-1) to (1,0) followed by the arc C2 of the quarter ellipse 4z2y2 - 4, 2 0, y 20, from (1,0) to (0, 2)
(15%) Evaluate the line integral -r-y + ) dz+ (z+2cy+3)dy, where C consists of the arc Ci of the...
2. (a) Evaluate the contour integral z dz, where I is the circle 12 – 11 = 2 traversed once counterclockwise.
5. Evaluate the following differentials (a) det? (b) d sinh ở (c) dx sin (d) do y 6. Find the exact values of the following expressions. Justify your answers using the definitions of they hyperbolic functions. (a) sinh (In 3) (b) cosh (In 3) (c) tanh (In 3) 7. Suppose cos 2 + siny = 1 (a) Use implicit differentiation to find y' = dy. Simplify your answer as appropriate. (b) Use implicit differentiation to find y" dy. Simplify your...
Problem 7. (20 points) We consider the function tanh(z) sinh(z) tanh(z)=cosh(z) where , For any integer 0, we denote by Qe the positively oriented square whose edges lie along the lines z-t(k+1) π and y = ± (k+)π -(km 4p. (a) Show that for any z z + iy e C, |cosh(z)12-sinh2(x) + cos2(y). 2p (b) Recall that tanh is analytic at the origin and that tanh () 1 - tanh2(). Compute the tanh(z) limit l := lim (Problem 7...
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