7. y A 1. amplitude= period phase shift lverhical Snift eauation for each Cunve in terms of Cosine

Q: H.w Find the enlsed between yasinx, ya cas X arca

A: In the question it is asked to calculate the are enclosed between y = sin(x) and y = cos(x) when x…

Q: IX. Find y' if 1. (5 pts.) y = 2 In (cos (Tx)) 2. (6 pts.) y = csc² (Arcsec (Va) + e-)

A:

Q: 8) Given y = 1 +3 sin 2x, Find the Amplitude Interval and Period y = A sin (B (x+C)) + D 2x Period =…

A:

Q: 1. Use the trapezium rule to estimate the value of the following correct to four decimal places a) |…

A: 1a) It is required to estimate the value of ∫0π3tanxdx with 4 strip using trapezium rule.

Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

A:

Q: -y = tanh" (cos e* ) ||

A:

Q: 8. 4 sin(at +b), where a and b are constants.

A:

Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: 4-If y= cos 8t , find the frequency (w) and the fundamental period(T.) 5-If: y = (sinx+1) (cosx+1)'…

A: We know that, The fundamental period(T0) of cos(x) = 2.pi                            if cos(ax) = (…

Q: Determine the speed s(t) of a particle with a given trajectory at a time to (in units of meters and…

A:

Q: Fiud ť amalytic Ť Ref = (t+y) · cos(2=y").

A: The objective here is to find f analytic. Ref=x+ycosx2−y2

Q: Determine the period and frequency of the simple harmonic motion of a 4-kg mass on the end of a…

A:

Q: 13. Eliminate the parameter t, sketch the curve, and indicate the orientation. x=5 sint, y= 5cost,

A: We will square the both equations and then we will add them to eliminate the t

Q: Given that Sinh Ys 2. fnd sech x, eanh y with draw atiangle

A:

Q: 2y у'+ — х?у? sin x %3D

A:

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

A:

Q: 15.y = C1eª×cosbx + C2eax sinbx ; a and b are parameters

A: Given:   y = C1 eax Cosbx + C2 eax Sinbx

Q: Question 14 d (tanh -'(cosx)) dx A cschx B) -csCx C) -secx D cothx

A:

Q: Sect sec't dt Tari'la)

A:

Q: Suppose A is the annihilator of y= e*sin(x) – 3cosh(x), if f(x) = A(sin(x)), determine the value of…

A:

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),…

A: We have to find dsdtt0=π4

Q: ю 2ах—х e la dx Use gamma or beta laws

A:

Q: Express the circular function cos+sin as a single cosine with a phase displacement T Rcos (+a) where…

A:

Q: (d) > sin km/2 S.

A:

Q: 2ах — х e la dx Use gamma or beta laws

A:

Q: 4. y = Ae bx are cosax + Bebx sinax, where a and b(lowercase) parameters. (not to be eliminated)

A:

Q: S Si dydx %3D 1-r

A: To evaluate the given double integral.

Q: 6 3 oy sin (a? + 3²) dædy Find

A:

Q: i?? cos(2t) dt csc(10t3)

A:

Q: :S (1 – ±) cos(uw – In w) dw.

A:

Q: 1. dy = %3D COSX cotytanx Cosy dr

A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

Q: the Yp Vvnich OllOWing is a particu y" + 2y' + 5y = sin t where A; are constants determined by…

A:

Q: Find the amplitude, period and frequency of the simple harmonic motion of a particle moving…

A: We are given that a particle is moving uniformly around a circle of radius 3 units, with angular…

Q: 4) Given y = 3 sin 2x, Find the Amplitude Interval and Period (n2, 0) (0. 0) Amplitude interval =…

A:

Q: if x is in quadrant 3 and cos (x)=-3/5 find the  exact values for g-i

A: If x is in quadrant 3 then x/2 is in second quadrant.  In second quadrant sin is positive but cos…

Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

A:

Q: QUESTION 5 dy If y=5sinu and u=4e%, then the value of Y dx 4cos(5x) cos(20x) • 20cos(4eX) 20cos(5eX)

A: To find this will use chain rule of differentiation If y = f(u) and u= g(x) then according to chain…

Q: find the arca of he shaded regon. Ue a calcularor apter xmng up tde integal. cos 20

A: Let r1=cos2θ and r2=2cosθ. We know that a polar coordinate is represented as r, θ, where r=x2+y2 and…

Q: 4. Find du for the equation 3y? – cosy = x° -

A:

Q: implicitly, if e*(e» – 1) + sin(2x + 5y) = In(v7) – · cot(2x) 8. Find %3D y+2

A: Given,

Q: السؤال 10 e = (cos (y) +isin(y)) ulgn O ०

A: 10. ez = (cos(y)) + isin(y)) is FALSE

Q: Please answer completely. Step by step. Evaluate. S arccos x dx

A: I have stated the used formulas in the solution

Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A:

Q: 10 cos 0 and y = 10 sin³ 0, find the total length of the curve swept out by the point If x = (x, y)…

A: We have to point length of curve swept out by the point:

Q: 3. Find if (a) y = 22" In (cot (7x)*) (b) y = sin? (Arcsin (T) +e-*)

A: Part(a) We have y=22xlncotπx2 We will use product rule and chain rule.  Product rule says:…

Q: QUESTION 4 dx where x# 0 x² In(Ixl) +c In (13x1) +c 3ln (Ix1) +c QUESTION 5 7894 142 Ma

A:

Q: (7/6 sin t dt cost 39.

A:

Q: (b) If y = sin (m sinhx), find the value of (yn)o ·

A: Given   it has to find nth derivative at .

Q: 2 [arc cos ( Incs-2) fdz ( Incs-z>) ] dz

A: