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I lost in this I need help please thank you 3)[4] Given f (x,y)= x’y–3x and...
I lost in this I need help please thank you 13) [6;10] Given F(x, y, z)=(-2yz, y, 3x), and C is the curve of intersection of z = 3x² +3y2 and z=3. Sketch a representative drawing. Assume C has counterclockwise orientation when viewed from above. (a) SET UP the line integral (F. dr as a line integral with a parameter t. Your final integral should be a с single integral in terms of t only, including the bounds of integration....
I lost in this I need help please thank you (NO NEED MORE INFORMATION BECAUSE IT IS A HW QUESTION This is how they ask) + 9) [26] Given F(x, y)= (4x’e' + 3x?y?)i + (x*e” + 2x’y+y’e”); , (state any theorems you use!) [4;8;6;4;4] (a) show that F is a conservative vector field. (b) find a potential function f for F. (c) evaluate ( F.di where C is the line segment from (3,1) to (4,2). (d) if the curve...
I lost in this I need help please thank you 6) [8] с Use Green's Theorem to rewrite the integral [F.dr for the given vector field over the path C. F(x,y)=(x? In y, log; y+x’ tan-' x) and C is the boundary of the region D, bounded by the parabola x = y² and the line y=x-2. Assume positive orientation. SET UP the integral using Green's Theorem and include all bounds and variables of integration but DO NOT evaluate the...
I lost in this I need help please thank you 10) [12;8] Let F =(x² - y, x) and C is the boundary of the closed region that is the bounded by the y-axis and the left half of the circle x² + y2 = 4. Assume counterclockwise orientation. (a) Find the work done by this force field on a particle that moves along C, without using Green's Theorem (that is, do it as line integrals: be careful with how...
I lost in this I need help please thank you + 14) [12] Find the flux of the vector field F across the enclosed surface S. Sketch the surface. F = yi +3x j +4zk, and S is the boundary of the solid region enclosed by z=9-x² - y2 and the plane z=2. (note that this includes two surfaces). Assume outward orientation. Do not use the Divergence Theorem. Evaluate completely. Bonus 4 points Use the Divergence Theorem to solve the...
I lost in this I need help please thank you 12) [8] SET UP the surface integral || yz dS where S is the part of the surface y = x² +2+ for 0 Sys1. S Your final integral should be ready for integration with the correct variables of integration. Sketch the surface. DO NOT evaluate the integral.
I lost in this I need help please thank you 5) [8] Evaluate ds , where C is the curve y=-x4 1<x<2. 7 X
please answer all 3 questions, I need help. thank you Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise. $(9x+ ex) dy- (4y + sinh x) dx, where C is the boundary of the square with vertices (2, 0), (5, 0), (5, 3), and (2, 3). $(9x+ ey?) ay- (4y+ + sinhx) dx = 0 (Type an exact answer.) Use Green's Theorem to evaluate the following line integral. i dy - g dx, where (19)...
I lost in this I need help please thank you 1)[2] True/False: In order to use Green's Theorem to calculate the work done by a given vector field, the vector field does not have to be a conservative vector field.
I lost in this I need help please thank you 8) [8] Given: E is the solid that lies below z = Vx² + y2 and inside x² + y2 + z2 = 5z. First describe what each surface represents, and sketch the solid. Then SET UP a triple integral using spherical coordinates to describe the volume of the solid. Explain clearly how you found the bounds for the spherical coordinates. DO NOT evaluate the integral.