Homework Answers
given curve do not have any vertical or horizontal line
Find the points of horizontal tangency to the polar curve. r = a sin ose<, a...
Find the points of horizontal tangency to the polar curve. r = a sin ose<, a > 0 (r, 0) = (smaller r value) (r, 0) = (larger r value) Find the points of vertical tangency to the polar curve. (r, ) = (smaller e value) (r. 2) = (larger e value)
3 Given sin osesan and sin B -7 37 25 <B< 27. Find cos(0 + B).
3 Given sin osesan and sin B -7 37 25 <B< 27. Find cos(0 + B).
Let C be the closed curve defined by r(t) = costi + sin tj + sin...
Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts] Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y +22)j + xk
4. Let C be the closed curve defined by r(t) = costi + sin tj +...
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) [5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral F. dr с where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk
Find the area of the region that is bounded by r = sin 0 + cos...
Find the area of the region that is bounded by r = sin 0 + cos 0, with 0 <OST. Find the area of the right half of the cardioid: r = 1 + 3 sin .
8. For 0 < < 27. find all solutions of sec r = eser. 14. Given...
8. For 0 < < 27. find all solutions of sec r = eser. 14. Given a right triangle with sides a and b and hypotenuse c. 20. Find b and c 1 sin B and a = 2 B! tan A 100 and 6 = 100. Find a and c. C. cos B = 5 13 and a = 20. Find b and c. 15. Find two values of a between 0 and 2 such that tanx = V3....
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2...
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2 cos t-cos 2t, 2 sin t-sin 2t) corresponding to 0< t < r
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues...
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues of B. Hence prove that the modulus of the eigenvalues is equal to one. (ii) Calculate the eigenvectors of B.
6. Let a curve be parameterized by x = t3 – 9t, y=t+3 for 1 st...
6. Let a curve be parameterized by x = t3 – 9t, y=t+3 for 1 st < 2. Find the xy coordinates of the points of horizontal tangency and vertical tangency.
Question 11 1p Determine the length of the curve r(t) = (2, 3 sin(2t), 3 cos(2t))...
Question 11 1p Determine the length of the curve r(t) = (2, 3 sin(2t), 3 cos(2t)) on the interval ( <t<27 47107 Озубл 47 0 250 √107 None of the above or below Previous Ne
Find the points of horizontal tangency to the polar curve. r = a sin ose<, a > 0 (r, 0) = (smaller r value) (r, 0) = (larger r value) Find the points of vertical tangency to the polar curve. (r, ) = (smaller e value) (r. 2) = (larger e value)
3 Given sin osesan and sin B -7 37 25 <B< 27. Find cos(0 + B).
Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) (5 pts] Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts] By using Stokes' Theorem, evaluate the line integral F. dr C where F(x, y, z) = (y2 + cos x)i + (sin y +22)j + xk
4. Let C be the closed curve defined by r(t) = costi + sin tj + sin 2tk for 0 <t< 27. (a) [5 pts) Show that this curve C lies on the surface S defined by z = 2xy. (b) (20 pts) By using Stokes' Theorem, evaluate the line integral F. dr с where F(x, y, z) = (y2 + cos x)i + (sin y + z2)j + xk
Find the area of the region that is bounded by r = sin 0 + cos 0, with 0 <OST. Find the area of the right half of the cardioid: r = 1 + 3 sin .
8. For 0 < < 27. find all solutions of sec r = eser. 14. Given a right triangle with sides a and b and hypotenuse c. 20. Find b and c 1 sin B and a = 2 B! tan A 100 and 6 = 100. Find a and c. C. cos B = 5 13 and a = 20. Find b and c. 15. Find two values of a between 0 and 2 such that tanx = V3....
Problem 4, Find, for 0-x-π, the arc-length of the segment of the curve R(t) = (2 cos t-cos 2t, 2 sin t-sin 2t) corresponding to 0< t < r
= Let cos(6) sin(0) B - sin() cos() and 0 << 27 (i) Calculate the eigenvalues of B. Hence prove that the modulus of the eigenvalues is equal to one. (ii) Calculate the eigenvectors of B.
6. Let a curve be parameterized by x = t3 – 9t, y=t+3 for 1 st < 2. Find the xy coordinates of the points of horizontal tangency and vertical tangency.
Question 11 1p Determine the length of the curve r(t) = (2, 3 sin(2t), 3 cos(2t)) on the interval ( <t<27 47107 Озубл 47 0 250 √107 None of the above or below Previous Ne
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