Let cos A= 3/√10 with A in QI and find cos(2A)
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Let cOS X = 9 10 with x in QIV and find the following. cos 2x Need Help? Read It Talk to a Tutor 5. [-/1 Points] DETAILS MCKTRIG8 5.3.015. Let tan 0 = 7 with @ in QI and find the following. sin 20 Need Help? Read It Talk to a Tutor
(3) Let a > 0. In spherical coordinates, a surface is defined by r = 2a cos φ for 0 Find the volume of the solid enclosed by the surface, as a function of a. φ S (3) Let a > 0. In spherical coordinates, a surface is defined by r = 2a cos φ for 0 Find the volume of the solid enclosed by the surface, as a function of a. φ S
6. Let the function r(t) = t cos((1 – 2a)t)i + t sin((1 – 2a)t)j + (2a – 1)tk over the interval [0, 41]. Find the value of a that gives the smallest arclength. Hint: There is a large amount of work in the middle of the problem that you can completely avoid. [10 marks]
4. If tan0 = 3 with in QI, find the following: (a) sin 20 (b) csc 20 5. If cos e = with @ in QIV, find the following. (a) sin, (b) cos
Let cos A = with A in QII and find V10 cot (2A) Preview whathematical expression [more.] Enter athathematical expression [more..]
dr J0 3. Let a be a positive constant such that a 1. Evaluate the definite integral using the technique in complex analysis, -C 27 dar I 1+a2 2a cos(1) Jo (a) State a precise version of Beu 4. dr J0 3. Let a be a positive constant such that a 1. Evaluate the definite integral using the technique in complex analysis, -C 27 dar I 1+a2 2a cos(1) Jo (a) State a precise version of Beu 4.
Qi. Let x be a real number and u, v be the vectors u =< x,-V3x >, v =< -x,-3 > a) Find the value(s) of x if u.v 6 b) Let x v3, find the angle between the vectors u and v
8. Let y = x2 cos x, Find y' 9. Let g(x) = -2 cos x, Find g'(x) 10. Find F(x) = (4x + 3)5, Find F'(x) BONUS QUESTION (15 POINTS Let y = (4x - 3)(x - 1)5; Find y"
dk how to do question 3 and 4 . help !! Part 2 nts) 3. Let x = e' cos 0, y = e' sin 0, and suppose f: R2 + R is a C f(e cos 0,e" sin 8). Show that function. Let g(r, 0) = 09 (,0) + 3 (1, 0) = e) (no elle" cos ,esin ) + face" cos 8, e' sine)). nts) 4. Let S = {(x,y) € R2: xy #0}, and define f :...
2a) Let a, b e R with a < b and let g [a, bR be continuous. Show that g(x) cos(nx) dx→ 0 n →oo. as Hint: Let ε > 0, By uniform continuity of g, there exists δ > 0 such that 2(b - a Choose points a = xo < x1 < . . . < Xm such that Irh-1-2k| < δ. Then we may write rb g (z) cos(nx) dx = An + Bn where 7m (g(x)...