Complete the sentence below. 元 -1. y= sin where -1sxs1 and 2 x means y= sin -1, x means where -1 xs1 and sys x= COS y x= sin y x= sec y y= cscx

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

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Q: The solution of the homogenous equation ?_y² is: y = x sin[In(-)) y = sin[In(")] Option 2 Option 3 y…

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Q: A) None of the given Choices B cost sin(2t) D) sint E sin?t

A: We will solve the integration.

Q: y= 6. 30 18/3/2 Sin(8)= Cos(8)D Tan() = %3D Sin(A)-

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Q: تفاضل وتكامل )2( نظري Stan?x dx = Select one: a. sin x-x+ C on b. COS X-X+C C. sec x +x+c d. tan x -…

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Q: 2 y" + 4y = cos? x.

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Q: * /Q13 If tanx – 2 tan? y = 1 then 2 cos² x – cos² y = 2 -1 No answer Leave Question O O O

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Q: Find the domain and range of the following: 1. y = 3 cos 2. y =-2 sin (2x) 4. y = 2 sin (Ex+ 3. y =…

A: Range and domain of the function

Q: 2. y' = (cos? x)(cos² 2y)

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Q: For y = sin?x + cos²x, y' = (A) 2 sin x - 2 cos x (B) 4 sin x cos x c) o D) None of the given…

A: We will use chain rule of derivative

Q: Solve Ordinary Ditferential equatior: x) du + (g°cosyt 13 13e+ 4x sin 곳e 2.

A: Firstly expand the equation  (13ey +4x2sinx)dx+(y2cos y+13x2ex) dy=013ey dx+4x2sinx dx+y2cos y…

Q: If f (x, y) = xe-3y + sin (2x – 5y), then fya=? -3e-3y 10 sin (2x – 5y) -3e -Зу + 10 cos (2a — 5у) —…

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Q: Ex(i) Find the aln Ja that Mles fcas is Contincnity at X= I , where Cos X x to ーメ2 そa-3a+4 X =0

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Q: Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y)…

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

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Q: 2. y' +y = cos x. cos x Answer. y = = + sin x +

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

Q: Find y'. Simplify your answers. y = (1 – 2x)(/x² +1) sin 2x b. y = 1+ cos 2x с. 8х — бу4 — 2x?у3

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Q: Find an appropriate guess for yp. You do not need to find the values of the coefficients. y" + 3y' +…

A: The solution is given as

Q: Evaluate the given function cos³xdx = (y² – y²sinx)dy is equal to.. 2y3 A. sin?x = - 2sinx + 2C 3 y3…

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Q: dy If y = cos3 (sin2x), then - - 6 cos? (sin 2x) sin (sin 2x) cos(2x) dx True False O The reminder…

A: We use chain rule to find derivative and reminder Theorem to solve Question 2

Q: Spot the mistake/s in the solution. Tick the box that applies. S sin x cosx dx S(1 - cos ? x ) cus x…

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Q: Which of the following is equal to y' if A/4 :| O tan(0)d0 ? None of the listed answers -0.5 tan(V)…

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Q: If x sinx cos x dx3Dx sin?x + Ax +B sin 2x + C. what is the value of A+ B? A B E none of the choices…

A: ∫xsinxcosxdx=12xsin2x+Ax+Bsin2x+C

Q: Find : L [sin? 5t] a.) [5] 2+25 6.) 5(1-cos 10t) 2 c.) 5²+25 d.) 2(s²+100) 25

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Q: Complete the sentence below. -1 COS cos (cos x) =x where 3Dx cos (cos x) = x where Cos 0<x<2x.…

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Q: Q7: True/ False (t? cos 4t) = L(t2)L(cos 4t).

A: The solution is given below:

Q: What must be the value of A so that cos(x +y) + cos(x y) = A cos x cos y? %3D О0 1/2 О -1/2 no…

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Q: (a) cos t (d) sec t (c) cot t cos B 1- sin B (c) sin B-1 (b) tan t (e) csc t 9. Which answer is…

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Q: If y= sin?t- 2+ + tant, x= – In(- cost) – e sinr, find the value of y when t= (=- 2/3 V2-e 2 6. 2le…

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Q: 10. y' + y cotx = 5ecos x, when x = 1, y = -4 ANSWER KEY: 10. y sin x + 5e cos x =

A: Please see the below picture for detailed solution.

Q: 3. Given: sec(0) = %3D 2 find sin(0) . 1 а. 2 2/3 b. 4 C. 2 d. Answer Unavailable

A: Using sec(theta) = 1/cos(theta)

Q: 4. Substitute the given information. 5. Solve the problem. opp a. tan A = adj b. hyp= c. 6 cm d. sin…

A: We have to find the side

Q: Let f(x, y) = xr sin(xy). Find (a) xy cos(xy) (b) y cos(xy) (c) x² cos(xy) (d) -x sin(xy) (e) Some…

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Q: NIX 2. sin? x+(1-cosx) 2 tan %3D (sin x)(1+cos x)

A: We can verify the statement as below

Q: 5. Find an expression for y(4) if y = e'sin t.

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Q: Find all x and y (0sx < 2m, 0 s y < 2) so that the following equation is true. (Enter your answers…

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Q: The general solution of y 'tanx sin2y sin?x + sin?y is A sinx(sin?x-3cos?y) = c B sinx(sin?x+…

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Q: If x=2 sec0 and y.cos0=4 sin . Evaluate where 0 =1 rad. dx? d'y

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Q: Evaluate the given function cos³xdx = (y? - y² sinx)dy is equal to.. 2y3 A. sin?x = 3 2sinx + 20 y3…

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Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +…

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both…

Q: Choose the Correct answer for the following: 3 1- 9 for y= sec x is equal to: dx 3 a) sec x tan x b)…

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Q: The general solution ofy'tanx sin2y= sin?x+ sin?y is sinx(sin?x+3cos?y) = c (A B sinx(3sin?x+cos?y)…

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Q: #3. Sketch y = sin x and y = cos x for 0 < x< 2n. Locate the x-intercepts. sin x CoS X 1 37 37

A: X intercepts are values where the graph cuts the X-axis.

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

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Q: Evaluate  -3 to 3 ,  0 to (9-x^2)^1/2   and  ∫∫sin(x^2+y^2)dydx.

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Q: (c) 4 h(x) = 8 sin a + 1+x? (d) f(1) = 5 cos I -

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Q: 9. Find an appropriate guess for y,. You do not need to find the values of the coefficients. y" +…

A: Given y''+3y'+2y=5e-x+xcosx        D2+3D+2y=5e-x+xcosx The auxiliary equation is,…

Q: (5) y(^) – y = 5(x +cos.x ) + Cos x

A: We have to find the general solution of the differential equation y(4)-y=5(x+cosx)

Q: Find the volume

A: Given

Q: Find an appropriate guess for Ур. You do not need to find the values of the coefficients. y" + 3y' +…

A: Given differential equation is y" +3y'+2y=5e^-x +xcosx