1. 1 А. csce 1 В. sec2 0 2. sine 1 С. sin? 0 + cos? e 3. cose 1+ cot? 0 1+ tan? 0 4. D. csc? 0 5. E. sece 1 [Choose ] [ Choose] [Choose ] 4 [Choose] 5 [Choose ]

Q: 3. Obtain in two ways the general solution of (r + sine - cose ) dr + r (sine + cose ) de = 0

A: Use substitution method

Q: 9 If f(0) = cos 0, ·cos 02· cos 03 ... cos 0n .... .·. f' (0) f (e) Show, {tan 01 + tan 02 + tan 03…

A: Given that we have to prove where

Q: 18. Evaluate ſe3 cos 2x sin 2x dx 1,3 cos 2x + C c.e3cos 2x + C B. -e3 cos 2x + C e3 cos 2x D. 6 sin…

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Q: = 0; y(0) = 2.2, y'(0) = -8.7, y"(0) = 38.85. O y = (91/150)sin 1.5t - 0.2cos 1.5t + 2.4e^(-4t) O y…

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Q: Show that (1-)dy+(cos xsin x-sy")dr =0 is an exact equation. Hence, find its general solution. Hint:…

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Q: 1 In [cos"-1 (3x) sin (3x) +3(n – 1)I-2] 3n 1 h= sin (3r) %3D What is I, ? I.

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Q: The position at time t ≥ 0 of a particlemoving along a coordinate line iss = 10 cos(t + π/4). What…

A: The position at time t ≥ 0 of a particle moving along a coordinate line is s = 10 cos(t + π/4) We…

Q: -똥, V5 with s in quadrant Il and let sin(t) 4 8) Let cos(s) = -, with t in quadrant III. Determine…

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Q: 1 L-1 s(s² + 4). 1 1 [1+ sin(2t)] 2 [1 – cos(2t)] | Option 1 O Option 1 1 1 [1+ cos(2t)] 4 [1 –…

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Q: Pre cal How do I evaluate?

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Q: „In sec²(sin2y)dy can be evaluated by writing it as sec2y A sec²(sin2y) - cos2ydy None © In…

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Q: اضل وتكامل )2( نظري - طولكرم %3D Question 16 dz sin 1(z) +c dx 6, Not yet answered Select one:…

A: This is false Whose explanation is given below.

Q: 9 If f(0) = cos 0 · cos 02 cos 03 ....... cos 0n %3D f'() + tan 0,}=- f (8)] Show, {tan 0, + tan 02…

A: Introduction :

Q: Solve the given differential euation: dr/dθ+rtanθ=10cosθ. 1.r=(10θ+C)tanθ 2.r=(10θ+C)cosθ…

A: In this question we have to solve the given differential equation.

Q: 25. y = 2 cos yA 2 28. y = 2 sin ) -2TT -2 31. y = 3 sin (2x) (A)

A: In this, the amplitude is multiplied by 2 and x is scaled by 1/2.

Q: S cos(3r)(sin(3x) +5)10 dz Select one: (sin(3z)+5)" 11 +C O (sin(3r) + 5)"+C (sin(37)+5)" 33 +C…

A: Consider the integral: I=∫cos3xsin3x+510dx……1

Q: 1. Determine the value of cos(2x+2y) if sin z 3 and tan y = - for 4 sysa. for 0sxs: VI VI

A: Given : sin x = 3/5 and tan y = -3/4

Q: 3 ven sin(0) = for <<m << then cos(

A: Topic:- trigonometry

Q: 0° S (c) Prove that: 2cos 20. cose 2 + 2 tan0. sin0 = %3D cos?e – sin? e cose o AEGW is drawn.

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Q: dx+ 1.5 +§ (5r – 15)cos (5х — 15)сos dx COS 1.5 Jo (5x)cos 1.5

A: We have to apply the integral by parts.

Q: 4x /² sin () cos (+) sin (²) dx (Consider initially the first 2 terms) 3

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Q: What is r 1- O Option 1 2 2 sin 0-3 cos 0 3 y = ² x + 1 2 x² + y² = 2y²-3x Option 3 in Cartesian…

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Q: 4. sin M= 20 16 30 5. tan L = 6. cos Z = 16

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Q: 3 6. Show that [[[ y sinzdxdydz = (1– cos1). 2 COS %3D 00

A: We have to prove given integral

Q: Please I want solution of question 8 with step by step. Many Thanks

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Q: i) L-- (In) L- | s-3 6s+3 ii) L-1 iii) L(tet cos wt) s+1 sª+5s2+4,

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Q: The solution of the DE (1+ tan x)y'=-secx coty is O None of these siny + In cosx| = c %3D sinx +…

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Q: 9. cos (2t) dt 10. " sin?t cost dt /2 11. sin'x cos?x dx 12. (2 sin0)² d®

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Q: S cos(3z)sin1º(3z) dz A 1 (sin(3z))10 + C 3 C 1 (cos (3z))10 + C 3 -- 1 D 1 (cos (3z))'1 + C 33…

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Q: Use Table to evaluate the following definite integrals.

A: The given integral is ∫0π40cos20xdx   formula used: ∫cosaxdx=1asinax+C

Q: 8:14 PM Mon Feb 28 - 53% T O + : b = 2UT6 生))+()-号) =(-$)(-)+(學)量 b=4 65 25 - 3 (85) COS S = and cos…

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Q: 18) * x-sin 2x ; find y" y y" cos 2x y = 7 %3D Option 3 O Option 1 y" sin 2x

A: First we find out first derivative with respect to x then we find out 2nd derivative with respect to…

Q: 1. L{sc" sin wt} L{e* (acost+6 sin t)} -kt cosh 2t +-sinh 2t 2 3. L 2.

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Q: Use a change of variables or Table toevaluate the following indefinite integrals. Check your work…

A: We have to evaluate the indefinite integral: ∫e2xe2x+1dx This will be solved by substitution method…

Q: .3 4 cos³ 4y /sin 4y dy

A: To find out the integration.

Q: Determine an equation for the sinusoidal function shown. 2. 12 21 Oy = 0.5 cos[0.5(x+ x)] + 1.5 Oy,…

A: The general equation of a sin function is given by; y=A cos(Bx+C)+D Where; A→Amplitude of the…

Q: 21) (1 + cos 9t) 2 sin 9t dt

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Q: 22: Evaluate Sea s cos²(y s) ds.

A: Solution:-

Q: 6 (A) /₁ √== B)/ -x/4 D) dx = tan* (x) sec²(x) dx = C) [rea *² x² ex dx = E) 2x cosh(x²) dx = F) /…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: 3 Find cos(x+y), given that cosx= and siny = 2 3 TT <y<2n. 0<x< 2 Select one: V5-2/15 a. 10 b. None…

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Q: Given: cos 3y + sin 2x 2 cos 2x 2 O -3 sin 3y-3 -2 cos 22-2 O -3 sin 3y 3 O -2 cos 2x-2 3 sin 3y 3 2…

A: Given: cos3y+sin2x=2x+3y To find dydx in the given equation.

Q: If fex) cos cmx) dx = and %3D fox) E Coscn'x) then %3D COS n3 +! KIN

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Q: 1o₂ = 2 · (² x (+) · cos (nwot) at O 11 2 1 = 2 25+ (1-1) cos (2nrrt) dt = 21- - [² (1-t) d 2 Los (n…

A: Using the integration by parts can be stated that: ∫udv=uv-∫vdu.

Q: 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3D Show, {tan 01 + tan 02 + tan 03 + ... + tan 0,} =…

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Q: "+25y 4r sin(51) – 2e" cos(5t)

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Q: Use a change of variables or Table toevaluate the following definite integrals.

A: Given, I=∫25325dxx25x2-1

Q: 9 If f(0) = cos 0 c • cos 02· cos 03. ... cos On f'(0) Show, {tan 01 + tan 02 + tan 03 + ....+ tan…

A: We have fθ=cosθ1·cosθ2·cosθ3....cosθn                 ....(1) Now, we have a formula…

Q: 00 L{cos}(s) = -st e cos(at) dt u cos(at) dv e^(-st)dt du = -asin(at)du v =| (-1/s)e^(-st) 00…

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Q: The solution of the DE (1+ cot'x)y' = cscx coty is %3D None of these siny + In|cosx| = C cosx + In…

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Q: 1+cos 2x dx sin 2z O cot 2x - csc 2x + c O cot 2z +In |sin 2z|+ c O none of these O In (csc 2x + cot…

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