The value of sin(2P) + sin(3Q) + sin(4R) at x = 5, y = −3, z = 2, where ▼ × F = (P, Q, R) and F = (-5y² + 3z² + y, 5x² + yz, −3xz+3z² − 2x), - is O 1.968 O-2.613 0.185 -0.403 O2.054 0.385 O-2.558 -0.018

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: Evaluate / 4 x cos(x)dx Ox sin(x) – 4 cos(x) + c 04 sin(x) + 4 x cos(x) + c 04 (x sin(x) + cos(x)) +…

A:

Q: | sin(6y) sin(8y) dy.

A: we have to solve the integral

Q: cos(sec-'/1+x²)= Select one: 2x a. V1+x² O b. V1+x? 1 Oc. 1+x2 d. V1+x?

A:

Q: 12 A A10. If B then the values of A& B =. %3D (x-2) (x+4) x-2x+4 A 2, – 2 b) -2, – 2 c) 2, 2 d) -2,…

A: Since you have posted multiple questions we will solve the first question for you. If you want any…

Q: |(estn(5c))(cos(5c))(dc)

A: Given: ∫esin5ccos5cdc Now by using the substitution u=5x du=5…

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

A: See the attachment

Q: x sin wx dx x2 + 6x + 10 Show that (2 sin 3w – 3 cos 3w) w > 0 %3D - 2e2w

A:

Q: Prove that sin(x + y) sin(x − y) = sin²x − sin²y. -

A: Formula's

Q: り plot s XE[-2T,27] Sin3X „Cas2X,

A: a.  Given function is, f(x)=e-x2 We find that f(0)=1 and when x→±∞, f(x)→0 So, the graph will be,

Q: Find where z = sin (x²) cos (y) COS © 6.x sin (x²) cos (y²) COS 2.x sin (2²) 2x cos 2.x sin (x²) cos…

A:

Q: Suppose S (x) =sin(3x – 2). Evaluate: /f(x) dr A - 3cos(3x – 2) + C (A) (B ® --cos(3r – 2) + C ©…

A: Given, f(x) = sin3x-2To evaluate:∫f(x) dx This can be done as follows:

Q: Let f(x)=sinx.When x=and dx=,then dy=? a) √2 b) cosxdx π+2 c) sin (+²) - sin() d) √2 √2 con()+sin()…

A:

Q: Evaluate L{t°e! e3(1 – t) 3e-t sin (4t - 2) 2) + t2 $ (3t)} cos

A: Explanation of the answer is as follows

Q: Ql:- Calculate the expression sec3.42x-5 +In4 cos30)2-4x 2 where x = 2, y = 5.…

A: Topic-Function

Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

A:

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: [9x cos(3x + 8) dx = Select one: a. 3x sin(3x+8)-cos(3x+8) O b. 3x sin(3x+8)+cos(3x+8) C. d. + C + C…

A:

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: Evaluate L{2t e2t sin (3t) – e3(1-1) + 3et sin (4t – 5)}

A:

Q: Find , where : = sin (a²) cos (y*) O 2.r sin (a²) cos (y²) O 2r sin (x²) 6.x sin (a²) cos (y²) 2x…

A: We have to find partial derivative of z  with respect to x.Given a function of two variables, ƒ ( x,…

Q: ution t= tan 2 tan). os(x)

A: We have to choose the correct answer from the given option

Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)

A:

Q: Differentiate y= cos y2x +1 sin 2x+1 A. V2x+1 sin 2x+1 B. V2x+1 sin 2x+1 C. V2x-1 sin 2x-1 D. V2x+1

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find all xE[0,2pi] that satisfy sin 2x + cos x = 0 x =

A: Topic- Trigonometric Equations We are given, sin(2x)+cos(x)=0 and x∈[0,2π] We know that sin(2x)=2sin…

Q: dy 2 3 ...2 C05X +sinx...y.-(4x+5). y. ---

A:

Q: 2 sin(x) – (-v3) = 0 List all solutions in [0, 27):

A:

Q: Compute | a° sin(æ" + 2) dæ.

A: Given : ∫x6sinx7+2dx

Q: Əw ər Find when r = 5 and s= -5 if w= (x+y+z)²₁ x=r-s, y = cos (r+s), z = sin (r + s). Əw ər = |r =…

A:

Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

A: