9. True or False. Is cot?x + sin t + c the S cot x dx ?

Q: is ty=sec cot x, then sec cot x+

A:

Q: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: The appropriate trigonometric substitution for * dx is V3x-x 3 3 X ==+ sin 0 2 2 sec 0 4 2 O Option…

A:

Q: Suppose y = sina, which is TRUE about y? 1 Oy= sin O none of the above y 0 *= arcsing O * = sin y

A:

Q: dr Find de r= (3+ sec 0) sin 0 dr de

A: Let's find derivative of r with respect to theta.

Q: 1 |+tan¬(x), then x2 dy If y=cot-= dx

A:

Q: - Evaluate sin x dx using 3 i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

A: We have to evaluate ∫0π2sin x dx. Here a=0 and b=π2=1.570796 Given n=6 ∴ h = b-an = 1.570796-06 =…

Q: If sin v = with < v < T and cos w = * with 0 < w < , find sin (v + w)

A: Given that π2&lt;v&lt;π. So, v is in the 2nd quadrant.In 2nd quadrant sinv is positive but cosv is…

Q: Q.5/ Show that sin(z) = sin(x) cosh(y) + i cos(x) sinh(y)

A:

Q: 4/ Solve The DE: [x+y Cot()ay-yx=si

A:

Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

Q: cos z cot z = sin z

A: We have to prove cotz=coszsinz

Q: Assume that a particle’s position on the x-axis is given byx = 3 cos t + 4 sin t,where x is measured…

A:

Q: a. Y = cot(Ve“ ) tanh(e") -1 (sin(x²)) tan(2²) tan(ray) = x + y? b. y = C.

A:

Q: 8. dr+ (2r cot 0 + sin 20) d0 = 0.

A: This will be a linear differential equation of r. We will write this in standard form and then solve…

Q: Show that the two formulas are equivalent…

A:

Q: 3- + y cot x = 2 cos x %3D dx

A: The details calculation is given below

Q: Eliminate parameters A and B but not parameter C by differentiating x with respect to t. x=A sin…

A: The given equation is: x=Asin(Ct+B)

Q: Arrange the given steps to correctly verify the equation. sin x cotx cos x CScr 1 sin r (sin r sin r…

A:

Q: 27. The perpendicular distance ON from the origin t line L is p, and ON makes an angle a with the…

A:

Q: Let x² + sin(yz) = xz² + y dz and ду dz Find

A: Given,           x2+sinyz=xz2+y

Q: f(x) = cot? 1 %3D tan-1

A:

Q: Fina the exalt val giren than sincu cos(v)=15 17 and Sincut!

A: We have to find

Q: f(?) = (? − cos(?)) sin(?)

A:

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

A:

Q: Find (tan x – dx sec x) d Find dx ( cot?x)

A:

Q: 13. et sin t, et cos t

A:

Q: I. Differentiate the given trigonometric function 1. x = tan 3u 2. y = 4cos²y sin 4y 3. w = y+1

A:

Q: 14. sin- (dyldx) = x + y %3D

A:

Q: help

A: see 2nd step.

Q: FIND dy/dx for the following Question sin x.cos x 1+2.In x 3 y cot x (ans.: 4 tan x 2 27) 2 x(1+ 2…

A: Given: y43=sinx cosx1+2ln x   ...(1)To find : dydx=?Formula: sin 2x=2sin x cos xcos 2x =cos2 x-sin2…

Q: cot a In(sin r) dr "/2

A: We know that integration of xn is xn+1/n+1. We know that : cosx/sinx= cotx.   Here i attached…

Q: 4 I sec(ø) (b) p* sin(ó) dpdódo

A: The answer of part b is as below.

Q: sin Tt cos Tt dt

A:

Q: 27 sin x cot xcosx dx = ? ^.cosx

A:

Q: 2. y=cos cot x

A:

Q: Approximate to three decimal places.

A: Given: Approximate to three decimal places(a) tan 21°10'=0.3838646=0.064

Q: When using u substation what should I use as the u when the problem is the intergral of…

A: Explanation:The given integral is ∫cos3(θ)sin(θ)dθ.

Q: The appropriate trigonometric substitution for dx is V3x-x2 ww 3 X = 9 3 + sec 0 2 4 3 +sine x = O…

A: We have to solve

Q: 0. sin*(x) dx = R, 3 -Tt, what is 8. Given that sin (0) de?

A:

Q: (1+cot 0) de 5. sin e4 - cote

A:

Q: y 2+ TT 3 2 -2+ -37

A:

Q: Evaluate the integrals in Exercises

A: Given integral is ∫0π2costi-sin2tj+sin2tkdt

Q: 15 Find the exact value of the trigonometric expression given that sin(u) = - - where 37T/2 <u< 27t,…

A: The expression for csc θ can be written in terms of sin θ as csc θ=1sin θ. We use the trigonometric…

Q: r=4costheta. Interval pi/4 lessthan/equal to theta less than or equal to 3pi/4

A: We need to draw the polar curve in the given interval.

Q: evaluate using the appropriate method or combination of methods.

A:

Q: By using Cauc hy laws find= Cos X.dx IT (x?+)) Sinx cos A) dx COS X e)

A:

Q: fip when r = 0, if given y = tan (sinh z). Find dr

A:

Q: Determine the period as requested. 5) Feriod of y 5 sin 4x A) 4 C)2 -1/2

A: In this question, we want to find the period of the given function.