(b) (4) Evaluate the integral 09 69 Baluate the interna sin I cos do
Evaluate the integral (-8 sin(t)- 4 cos() dt ntegral
Evaluate the integral (-8 sin(t)- 4 cos() dt ntegral
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
5. Evaluate each definite integral. 5.2 dx 2.22 [5] /2 [5] (b) [ COS C sin? C dx 1/4
1. Evaluate the following definite integral using the substitution formula: LI 4 cos(x) sin(x)dr.
Show that the differential form in the integral is exact. Then evaluate the integral. (0.4.4) sin y cosx dx + cos y sin x dy + 4 dz (1,0,0) s Compute the partial derivatives. ӘР ON ay dz Compute the partial derivatives. OM ap dz Compute the partial derivatives. ON OM ду Select the correct choice below and fill in any answer boxes within your choice. O A sin y cos x dx + cos y sin x dy +...
Evaluate the integral cos(3x) (1 + 2 sin(3x))\n(1 + 2 sin(3x)) Saint dx
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(e) sin(30) + cos(20) do 1. Evaluate the indefinite integral. (a) [8x2 – 3x2 + 3+ – 2 dr (b) 1-1 + 7x – 34" da (e) [(3+ + 2)(+ – 2) dt (8) 223/2 - 3/3+ Fadz (n) 23" +22-1 de 2. Solve the initial value problem: g'(x) = 7.76 – 4.23 + 12: g(1) = 24 3. Solve the initial value problem: W'(t) = 6 sin(3t): h() = 6
Evaluate the double integral f(r, ) dA. 7/6 2 p2 sin(O) cos(O) dr do Jo Jo Enter a fraction, integer or exact decimal. Do not approximate.
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
solve 1 and 2.
Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B) cos (x3) A) 6x5 cos (x3)
Evaluate the integral. 3T/4 1) rt/4 D) o B)-16 C) Find the derivative of the integral using the Second Fundamental Theorem of Calculus 2) y- cos nt dt D) cos (3)-1 C) sin (3) B)...