Evaluate the line integral: -3) ds+( dy+(y e16r +102) dz. I = C+z e16x+ 16y z e16r (0,0,0) Your answer can be expressed...
Question 6 (1 mark) Attempt 2 Evaluate the line integral: (3,4) I 4sy d$+(2x2+4cosh(y+z)) dy+(4cosh(y+2) – 4z) dz. (1,0,1) Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax. For example: 5*cosh(13)/7+3*(245)/11 OR 15.91845987 OR rounded to 15.918 - 1 =
Pleas have a clear hand writing :) Question Question 6 (1 mark) Attempt 1 Evaluate the line integral: (1,3,5) (8ysinh(4x)+62) dx+(2cosh(4x)+5z2) dy+(10yz+6x) dz. (0,1,1) Your answer can be expressed as number accurate to five significant figures or as an expression in correct Maple syntax. For example: 5*cosh(13)/7+3*(2^5)/11 OR 15.91845987 OR rounded to 15.918 |Skipped Question Question 6 (1 mark) Attempt 1 Evaluate the line integral: (1,3,5) (8ysinh(4x)+62) dx+(2cosh(4x)+5z2) dy+(10yz+6x) dz. (0,1,1) Your answer can be expressed as number accurate to...
Question 7 (2 marks) Attempt 1 Change the arder of integration and evaluate the following double integral: Your answer can be expressed as a number accurate to five significant figures or as an expression in correct Maple syntax. For example: 15 (exp 1417 OR 0.608625894 OR rounded to 0.60863 l Skipped Question 7 (2 marks) Attempt 1 Change the arder of integration and evaluate the following double integral: Your answer can be expressed as a number accurate to five significant...
Q1. Q2. Q3. Q4. Question 4 (2 marks) Attempt 1 A surface is described by the equation re10y+9y For a surface defined by a vector R(t,y)y,z(ry), the element of surface area is given by dS For the given surface, determine the cross product Each component should be expressed using the correct Maple syntax; for example, one component might be: -31+7'x exp(-11 y) The first component of the cross product is The second component of the cross product is The third...
Please help me with these questions, show working. thank you I-(8z2+3e3rcos(5y) i-( 5e3rsin(5y)) j+16xz k The vector field I is conservative, find a scalar potential function f(x.y,z) such that I grad f and f(0,0,0) 1 Your answer should be expressed using the correct Maple syntax; for example, it might be: 2*x^2"y+5*z*exp(-9*y) cos(4*z) Do not use decimal approximations all numbers must be correct Maple expressions. The scalar potential is f(x,y,z) Skipped Change the order of integration and evaluate the following double...
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...
1. Evaluate the line integral S3x2yz ds, C: x = t, y = t?, z = t3,0 st 51. 2. Evaluate the line integral Scyz dx - xz dy + xy dz , C: x = e', y = e3t, z = e-4,0 st 51. 3. Evaluate SF. dr if F(x,y) = x?i + xyj and r(t) = 2 costi + 2 sin tj, 0 st St. 4. Determine whether F(x,y) = xi + yj is a conservative vector field....
Use Green's theorem in the plane to evaluate - tv3-ry)ds+(}p2_89+12y4) dy K= anti-clockwise around the closed path C given by the curves: x 0, -1 2 y -2 r = 2, -TT/2 < 0 < T/2. x = 0, 2 2 yz 1, r 1, TT/2 2 0 2 -TT/2 Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression....
Va2 y da dy The region A is bounded by the curve: 2+y=Va 3. Evaluate C 2102 dz dy dz 4. Evaluate The solid V bounded by surfaces: z = 1-2, z = y , y = 0 Va2 y da dy The region A is bounded by the curve: 2+y=Va 3. Evaluate C 2102 dz dy dz 4. Evaluate The solid V bounded by surfaces: z = 1-2, z = y , y = 0
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer: