Find div F and curl F if F (x, y, z) = 10e*V i – cos yj+ 3 sin zk. %3D div F= curl F=

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Q: Let 7 (t) = %3D Find F'(t) F(t) - « Question Help: D Video Add Work Submit Question

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Q: Find div F and curl F if F(x, y, z) = 8y°z³i – 11x*z°j – 3xy°k.

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: A general solution of the differential equation d3y/dx3-3d2y/dx2+4=0

A: The given differential equation,        d3ydx3-3d2ydx2+4=0

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Q: How many arbitrary constants will be there n the general solution of a second order differential…

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 ||r(t)||³ r(t) = 3 cos(2t)i+ 3 sin(2t)j + tk…

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Q: = (7, –2) am

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Q: 7. Sketch the region of integration, and evaluate the integral. 2 2x. JI zdz de dr .2

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Q: A = (0, -3) and B = (5,9) A = (3, – 11) and B = (9,-3)

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Q: If f (x) : 2, what is the equation of the line tangent to f(x) at x = –1? O y+24x + 36 = 0 O y – 24x…

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Q: Using appropriate substitution 3. tan’x dx sec5x is equal to -cos°x + cos"x + C tan*x + 6 sec°x + C…

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Q: Which integral corresponds to the area of the shaded region between the curves y = -x? + 3x and y =…

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = e*i+e*j ,3t: K(t) =

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Q: Solve the equUations: 1) (D² + 9)²y = 0 2) (D2 + 49)²y = 0 3) (D2 + 36)²y = 0

A: As per our guideline we are supposed to be answer only first three parts of question you can repost…

Q: -3/2 Substitute c = 5e¬ in f(x) = 4x² In() and find f(c). 5. R6) = «(se-3/2}* in(3e2) AC) =…

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Q: its magnitude and direction angle. 14. ļu| = 8, 0 = 225°

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = – 2tj %3D

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Q: Find the exact area under the curve between the indicated values of x. y =x2 - 6x + 9; between x= 2…

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Q: Find V · (V × F) if F(x, y, z) = 9 sin xi + cos(6x – 7y)j+ 4zk. - V · (V × F) =

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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