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9. Evaluate cosh(y) +(c sinh(y)+e' cosh(y))dy + esinh(y)) ? Why is...
2 -e Recall that cosh(x) er te 2 and sinh(2) Any general solution of y'' –...
2 -e Recall that cosh(x) er te 2 and sinh(2) Any general solution of y'' – y=0, can be written as y(x) = ci cosh(x) + C2 sinh(x), for arbitrary constants C1, C2. O True O False
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...
reverse the order of integration and evaluate : double integral e^y^2 dy dx and dy=from 2x...
reverse the order of integration and evaluate : double integral e^y^2 dy dx and dy=from 2x to 2 and dx= is from 0 to 1. please explain how you reverse it, and show me all the steps in the evaluation of the new integral
Consider the following complex-variable function cosh a < T f(z) la! cosh πχ, a) Find all its singularities, state their nature and compute the residues b) Consider the rectangular contour y with...
Consider the following complex-variable function cosh a < T f(z) la! cosh πχ, a) Find all its singularities, state their nature and compute the residues b) Consider the rectangular contour y with vertices at tR and tRi. Evaluate 6 6 dz cosh πχ c) Using the previous result take the limit R-to prove that cosh ax (10] 2 cos (g Hint: remember that cosh(a + b) -cosh a cosh b + sinh a sinh b d) Why is the above...
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3) 5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line s...
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
question 4 BUT the curve is opened, not closed. moodle.ukzn.ac.za (c) The region enclosed by the curve a - cost and ysin...
question 4 BUT the curve is
opened, not closed.
moodle.ukzn.ac.za (c) The region enclosed by the curve a - cost and ysin t, where parameter 9. Calculate . Evaluate (r2 +2y)dz (3 - sinh y)dy, where C is the path ABCDEF shown in the figure. ,y,z20 3 2 0 2 3 4
moodle.ukzn.ac.za (c) The region enclosed by the curve a - cost and ysin t, where parameter 9. Calculate . Evaluate (r2 +2y)dz (3 - sinh y)dy, where C...
Please do both of them. Thank you. Find 3 cosh(2 x) 3 sinh(5 x)] 3 5...
Please do both of them. Thank you.
Find 3 cosh(2 x) 3 sinh(5 x)] 3 5 2+4 15 a) 225 3s 15 b) О 2-4 2-25 6 c) O 3 s 24 2-25 6 3 s d) O 2+25 3 5 15 e) O 2-4 (2-25) fONone of the above. Question 6 Find e2 sinh (5 x) 4 e cosh(5x) 2 а) О 2 (5 7) 2 (s3) 5 6 54 1 b) О 2 (s3) 2 (s 7) 54...
(5,3,-2) Evaluate the integral y dx + x dy + 4 dz by finding parametric equations...
(5,3,-2) Evaluate the integral y dx + x dy + 4 dz by finding parametric equations for the line segment from (2,1,5) to (5,3,-2) and evaluating the line integral of (2,1,5) F = yi + x3 + 4k along the segment. Since F is conservative, the integral is independent of the path. (5,3,-2) y dx + x dy + 4 dz= (2,1,5)
For the form a 2ryda (2 -y2) dy, define the function f(x,y) = 10 where c is the straight line pat...
For the form a 2ryda (2 -y2) dy, define the function f(x,y) = 10 where c is the straight line path from (0,0) to (x, (a) Compute f and then df (b) Is df = a? Why or why not? (c) Evaluate J df. Is this the function f? Why or why not?
For the form a 2ryda (2 -y2) dy, define the function f(x,y) = 10 where c is the straight line path from (0,0) to (x, (a) Compute...
Evaluate I=∫C(sinx+9y)dx+(8x+y)dy for the nonclosed path ABCD in the figure. A=(0,0),B=(4,4),C=(4,8),D=(0,12) (1 point) Evaluate I figure....
Evaluate
I=∫C(sinx+9y)dx+(8x+y)dy for the nonclosed path ABCD in the figure.
A=(0,0),B=(4,4),C=(4,8),D=(0,12)
(1 point) Evaluate I figure. Je(sin x +9y) dx + (8x + y) dy for the nonclosed path ABCD in the A (0,0), B (4,4, C (4,8), D (0,12)
2 -e Recall that cosh(x) er te 2 and sinh(2) Any general solution of y'' – y=0, can be written as y(x) = ci cosh(x) + C2 sinh(x), for arbitrary constants C1, C2. O True O False
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...
Consider the following complex-variable function cosh a < T f(z) la! cosh πχ, a) Find all its singularities, state their nature and compute the residues b) Consider the rectangular contour y with vertices at tR and tRi. Evaluate 6 6 dz cosh πχ c) Using the previous result take the limit R-to prove that cosh ax (10] 2 cos (g Hint: remember that cosh(a + b) -cosh a cosh b + sinh a sinh b d) Why is the above...
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
5. Evaluate the integral c (2x -y)dx + (x + 3y)dy along the path C: line segment from (0,0) to (3,0) and (3,0) to (3,3)
question 4 BUT the curve is
opened, not closed.
moodle.ukzn.ac.za (c) The region enclosed by the curve a - cost and ysin t, where parameter 9. Calculate . Evaluate (r2 +2y)dz (3 - sinh y)dy, where C is the path ABCDEF shown in the figure. ,y,z20 3 2 0 2 3 4
moodle.ukzn.ac.za (c) The region enclosed by the curve a - cost and ysin t, where parameter 9. Calculate . Evaluate (r2 +2y)dz (3 - sinh y)dy, where C...
Please do both of them. Thank you.
Find 3 cosh(2 x) 3 sinh(5 x)] 3 5 2+4 15 a) 225 3s 15 b) О 2-4 2-25 6 c) O 3 s 24 2-25 6 3 s d) O 2+25 3 5 15 e) O 2-4 (2-25) fONone of the above. Question 6 Find e2 sinh (5 x) 4 e cosh(5x) 2 а) О 2 (5 7) 2 (s3) 5 6 54 1 b) О 2 (s3) 2 (s 7) 54...
(5,3,-2) Evaluate the integral y dx + x dy + 4 dz by finding parametric equations for the line segment from (2,1,5) to (5,3,-2) and evaluating the line integral of (2,1,5) F = yi + x3 + 4k along the segment. Since F is conservative, the integral is independent of the path. (5,3,-2) y dx + x dy + 4 dz= (2,1,5)
For the form a 2ryda (2 -y2) dy, define the function f(x,y) = 10 where c is the straight line path from (0,0) to (x, (a) Compute f and then df (b) Is df = a? Why or why not? (c) Evaluate J df. Is this the function f? Why or why not?
For the form a 2ryda (2 -y2) dy, define the function f(x,y) = 10 where c is the straight line path from (0,0) to (x, (a) Compute...
Evaluate
I=∫C(sinx+9y)dx+(8x+y)dy for the nonclosed path ABCD in the figure.
A=(0,0),B=(4,4),C=(4,8),D=(0,12)
(1 point) Evaluate I figure. Je(sin x +9y) dx + (8x + y) dy for the nonclosed path ABCD in the A (0,0), B (4,4, C (4,8), D (0,12)
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