Find the equation of the osculating plane of the helix x = 3t, y = sin 2t, z = cos 2t at the point (, 0, – 1).

Q: Let P= (4.-4). (a) Does P lie on the unit circle? (b) If so, find sin (8), cos (#), and tan (#)…

A: P = 32, -12 = (x, y)   Equation of circle: x2 + y2 = r2

Q: Evaluate S, y? – x ds for each of the following curves. a) C = c, is the line segment from (-5, -3)…

A: Line integral  L=∫Cf(x,y)ds If curve C is defined by x=f(t) and y=g(t) then ds=dxdt2+dydt2dt

Q: Assume z =x+ iy = re® , i = /-1

A: Topic:- algebra

Q: Find the length of the curve. x = cos t y = sin t

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Q: i) Pre that at the Point x- of the Crerve Y: 4m-S, the radices of cervatune f' 5is

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Q: Show that the equation a – 10r +5 = 0 has a root in the interval (-1, 1). b) The following figure…

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Q: Express the circle specified by ?=2cos(?)?=1+2sin(?) y=1+2 sin(?) inin Cartesian coordinates and…

A: Equation of a circle with radius r and center (h,k) is  (x-h)^2 + (y-k)^2  = r^2

Q: Where are the theta valuss for the horizontal and vertical tangent lines on [0,2pi) of r=1+cos theta

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Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

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Q: 4. Use an appropriate half angle identity to find the exact value of cos15°.

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Q: Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

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Q: The value of sin7 from the unit circle is (0,1) (1,0) (-1,0) (0,-1) b) 1 c) – 1 d) undefined

A: The value of sin7π from the unit circle is

Q: 4 Find the slope of the tangent line to polar curve r = 7 – 4 sin 0 at the point ( 7 - - 2' 6 Submit…

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Q: The roots of the characteristic equation of y"-7y=0 are: Select one: a. 7,7 b. 17, -17 O C7,-7 d. 0,…

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Q: Can you please give me two points from the topologist's sine curve?

A: Given: The topologist sine curve is given by, S=x, sin1x | 0<x≤1∪(0, 0) To find: Two points from…

Q: Prove that the curve y:(-,) → R³ is regular with factor H and determine whether the image y (t) = (2…

A: To determine : the      included in a plane in   or not. Here,…

Q: cos20 3 iii) modulus of complex z = (sine)?- i equal to

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Q: If you have two points and conic angles theta 1 and theta 2 have a difference of 180 degrees, how do…

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Q: Find the edlution of the following equstions: (osx<r) a) cosx- casx =0 . b) tan2x = 3 tan X Sin8X .…

A: We have to solve the following equations.

Q: Suppose the point (4,6) sits on a ray from the origin making an angle of A in standard position, and…

A: topic - trigonometric ratios

Q: b) A particle moves in simple harmonic motion according to the equation, s = 0 x Acos(wt)+ 0 ×…

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Q: 13, mz1=(x² +7) and mz2 (2x² + 19)".

A: we have to find the angle between the floor and the light beam.m∠1=12x2+7°m∠2=2x2+19°sincem∠1=m∠3now…

Q: (sece +tane)(1+sine)de =

A: Evaluate ∫π6π4secθ+tanθ1+sinθdθ

Q: sin = { }. (e.): sine= sin@=. sin e= y sin e sine =

A: Given query is to find correct option for sin.

Q: Determine the period of the sinusoidal function y=-3 sin| 2| x- -~-3 m 2 ( x − 3 ) | + -- +1. a) 1…

A: If y = A*Sin(B(x+C))+D is the sinusoidal function, then Amplitude = A Period = 2π/B Phase Shift = C…

Q: Find the three roots of (-6 + 4i)'/3 Enter these in order of increasing angle, going from ) = ()…

A: Firstly find the tangent of angle using the below formula. If z=a+ib the acute angle θis…