.2π π 1 -εrocos? θ r dr sinθdθ φdφ x 32 πο X = ?

Q: With the aid of residues, and a carefully chosen contour, show that d.x x5 +1 5 sin(T/5)

A: We we solve the general form of the integral for n instead of 5 Then we will substitute n=5 in order…

Q: 12 3. (sin x)y' +y cos r = r sin a,

A:

Q: az If z? = y sin(xy), find ду at the point (-1, ",1) a) - 0.5 b) 플+1 c) - 2 d)-플- 1 e) 0 f) 1 g)…

A: We have to find the direction derivative from the given condition and partially derivative  at the…

Q: 6. Y 12 12 9. 15 15 X. sin (Z) cos(Z) %3D tan(Z)

A:

Q: az and dy az Ql:- Find the if Z = x* sin x y.

A: As per our company guidelines we are supposed to answer only one question.Kindly repost other…

Q: r(t) =(sin 3t, cos 31, V7t), 1. Let a) Find T(t) and N(t)

A:

Q: D cos( 5t D sinf see Dcost cast) 4

A: See the attachment

Q: π 1 r rlo cos ? θr dr sinθ dθ φ dφ x 32na x = ?

A:

Q: Find the Re(z) and Im(z) z=sin(e^i3)+sinh(5∠30)

A:

Q: af af If f(s, t) = sin s cos 21, find and as at

A: fs, t=sins cos2t Partially differentiating with respect to s, we get ∂f∂s=cos2t·coss

Q: b. " +r = 2 cos t

A:

Q: * If r(t) =8 cos(6t)– 3sin(31), find and sketch R(j@). *

A: Since, you have posted multiple question, we will solve the first for you according to the Bartleby…

Q: W (1, sin x, cos x) (А) —2 (В) 2 (С) —1 (D) 1 (E) None

A:

Q: Q2. Finel hE2SFnzt.cosst] Hint [2 St. A CosB = Sin CA+B)+SfnCA-B)J

A:

Q: where D C 0 find amatrix 2 Irand d I is identity 3 -1 1

A:

Q: Choose the only equation below that does NOT represent a circle. Ox =1+ 4cos(t) y = 3+4cos(t) O x2…

A:

Q: *T/2 10 cos(0) r dr de

A:

Q: Photo attached

A: Given:

Q: c) If f(x, y)= e" cos 2x, then show that = 0.

A:

Q: d) sin[w,(t-1)] u(t)

A:

Q: Find r′(t). r(t) = ⟨t3, cos 3t, sin 3t⟩

A: Given function - r(t) = t3, cos3t, sin3tDifferentiating on both sides with respect to 't' - ddtrt =…

Q: b) (e** cos z) =

A:

Q: 6) Shared by the circles r = 2 and r = 4 sin 0

A:

Q: Eliminate the parameter t from the following. x = 1 + 2 sin t, y = 4 + 2 cos t

A:

Q: 7x +3 r sin r 5. If w then what is dw/dr?

A:

Q: w sin(1ow)dw

A:

Q: az If z? = y sin(xy), find ду at the point (-1, .1) d) --1 %3D b) + c) - 2 а) - 0.5 e) 0 f) 1 g)…

A: We will find the partial derivative with respect to y and then evaluate at the given point.

Q: az If z? = y sin(xy), find ду at the point (-1, ", 1) a) - 0.5 b) +1 c) - 2 d) -- 1 f) 1 e) 0 g)…

A:

Q: 21. ds: C is the quarter-circle r(t) = (2 cos t, 2 sin t), for 0SIST/2.

A:

Q: 3.5.5. f(t) = 0, sin t, if 0<t < 4T, if 47 <t. %3D

A:

Q: Given f(x,y,z) = cos(4xy) + sin(2z). Find f,(1,2,0). Answer:

A:

Q: i cos z dz , where C is z- 1 =5. z - 2 Find -0.832 Tt 0.832 Tti 0.832 T o -0.832 Tt i

A:

Q: If Z = sE) +i sin) . then Z-Z+1=.. = cos -2 2 -2i

A:

Q: (a) if f (t) = tet cos 5t then L{f (t)} =?.

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: 1 Given that P = 2a, – ay 2а, - Q = 4a, + 3a, + 2a, R = а, + a, + 2a, find: (a) |P + Q – R|, (b) P·Q…

A:

Q: If sin t = - and t is in the 3rd quadrant, - then cos t = V16 5 V34 V16 3 Vī6 V16 3

A:

Q: 7. Calculate cos u for the following choices of u(x): dx (а) и(х) %—D 9 —х? (b) и(х) — х-1 (с) и (х)…

A:

Q: - 25 csce = 3n T <0 < 2 10. Given that 24 where find the exact value of the trig function using the…

A:

Q: Find r′(t). r(t) = 3 cos3 ti + 2 sin3 tj + k

A: Given that, rt=3cos3ti+2sin3tj+k

Q: r' = cos 0

A: The detailed solution is as follows:

Q: Flag question T/2 S 3 cos (x) sin°(x) dx 15 15 None 6 15 45 2.

A:

Q: /2 89 cos t 9. dt = 1+ sin?t If q sec e de, then a = b = and g =

A:

Q: given z=x2-y2, x=r cosθ, y=r sinθ, find ∂z/∂θ

A:

Q: 2 If cos t : and t is in the 3rd quadrant, then cot t = 8 %3D V60 2 V60 8 2 V60 8 V60 O V50

A: Given:- cos(t) = -2/8  To find:- cot(t) in iii quadrant

Q: If sin t 2 and t is in the 3rd quadrant, - then cos t = Vī6 V34 5 Vī6 3 Vī6 | Vī6 3

A: Given Sin t=-(3/5) t =is in the 3rd quadrant Find out  cos t=?

Q: Eliminate the parameter t from the following: x= 9 sin t, y = 9 cos t

A:

Q: 4 T <a < m; cos ß = .0 < B <% =5.0 <B < 37. tan a = %3D 3' 2

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: If So S, (x² + y² ) sin(x)dxdy= f L (2²² + y?) sin(x) dydæ a , then a, b are

A: Solution is below.

Q: i cos z dz , where C is z – 1 =5. z - 2 Find -0.832 Tt 0.832 Tt -0.832 Tt i 0.832 Tt i

A:

Q: 26. Circle the following equations if they have symmetry about the y-axis. x² + y? = 9 %3D y -3 csc…

A: If we plug -x in place of x and get the same equation , then the function will have symmetry about…