Determine an equation for the sinusoidal function shown. 2 2 2 -1 -2 O a) y--2cosx O b) y = -coS TX+ 1 O c) y = -2 cosx+ 1 O d) y- = 2 cos Tx

Q: Consider the following parametric equation. x = 5(cos 0 + 0 sin 0) y = 5(sin 0 – 0 cos 0) What is…

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Q: #21 2D Describe the motion of a particle with position as tvaries in the given interval

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Q: A. Sketch the two curves: 1. r1 = 3 cos 0. 2. r2 = 1+ cos 0.

A: Use polar system to sketch this curve.

Q: Graph these parametric equations on the TI and include screenshots x = 2t – 2 sin t, y = 2 – 2 cos t…

A: In the Cartesian coordinate system, the parametric equations use a third variable(usually "t") to…

Q: Eliminate 0 from the equations : (i) x = h + a cos 0, y = k + b sin 0 (ii) x = a ser³ 0, y = b cot³…

A: Solution is given: Hope the solution is helpful.

Q: Determine the angular frequency of the sinusoid (a²b² a x =- cos ab

A: Given: x=abcos(a2b2tπ-abπ)

Q: I woite whose graph is the given sine wave equation of the from y= Acos (X-c)+D an

A: Given:

Q: cos(2z) dz c = |Z| = 1 Evaluate where at oriented 5-4 cos(z) counterclockwise?

A: Let fz=cos2z5-4cosz Singularities of f are those points where the denominator is zero. So, put…

Q: Find a Cartesian equation of the curves. 1) r= 2 sin 0 2) r = 5 csc e

A: 1) r=2sinθ2) r=5cosecθwe have to convert these curves into cartesian equations

Q: Find the intersection points of r2 = sin 0, 0 3 %3D II

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

Q: a:1 c R E4 t a(t) = (cos (), sin (), 2, at) %3D ↑

A: Given the curve  α:I⊂ℝ→ℝ4 given by t→αt=cost2, sint2, 2, αt

Q: Graph the following vector fields

A: (a)known fact:

Q: a) Determine an equation for the sinusoidal function shown. c. y= 0.5cos 0.5(x+ )] + 1.5 d. y=-cos[…

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Q: Replace the Cartesian equation x² + y² equation. OA) r sin² 0 = 4 cos 0 B) r = 4 sin 0 Oc) r = 4 cos…

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Q: (a) = √2+isin 2 (b) = (1+1)(cos+ i sin ) (c) zn = "+(-1)"

A: As per our guideline we are supposed to answer only three subpart of the first question. Here a), b)…

Q: Exercises 1) Find if z = 3 cos x – sin(xy),x = ,y = 3t -

A: The given equation is; z = 3 cosx - sin(xy) , x=1/t , y=3t

Q: s2 Q.3) Prove that L-1 () =(coshat sinat + sinhat cosat) 4+4a4, 2a

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Q: b) r= 3cos(0)-3 sin (0)

A: Idea: substitute x=rCos(theta) and y=rSin(theta) and simplify we get equation in Cartesian form

Q: Eliminate the parameter from the parametric equations: x = 3 sin t y = 2+ cos t The resulting…

A: Given :                Consider the parametric equations :                       x = 3 sin t…

Q: Show that cos(e-²) dz . 2πί - sin(1). 22 Here C = {z E C||2| = 1} (the unit circle).

A: prove is following...

Q: Consider the following parametric equation. = 5(cos 0 + 0 sin 0) y = 5(sin 0 – 0 cos 0)

A: Given,          The parametric equation are x=5cosθ+θsinθ and y=5sinθ-θcosθ.

Q: d the area of the surface generated by revolving the curve x =cos (2t), y = 7+ sin ( 2° - xis. .....…

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Q: Trace the curve: r = 1/2 sinꝋcos^3ꝋ.

A: The equation of the curve is r=12sin θcos3θ. First check the the symmetry of the curve. The curve is…

Q: Identify the graph that corresponds to the parametric equation show your answer 9) x = 4 cos2 t, y =…

A: Given:- x=4 cos2(t) , y=2sin2(t)  To find:- Graph of given parametric equation

Q: (c) h(r)- (r- 2r)(r+) (d) j(r)= COS T 1- sinr *cos2tan r (e) f(r) Page 2

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Q: The equation for the sinusoidal graph below is: f(x) = 4sin(2x) 3sion (2) 1 f(x) = 3sin f(x)=2sin…

A: Given is a sinusoidal graph.   To Choose: The correct equation for the sinusoidal graph

Q: Consider the parametric equations x sin 2t and y -4+c ost. which of the following dy7 represents 2…

A: We are given that x=sin 2t y=4+cos tWe need to find dydx

Q: Find all points of intersection of the curves r = cos 2 θ and r =1/2

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 3…

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Q: The derivative Z of the parametric equations z= 7 sin 3t and y= cos 3t is.

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Q: Find the general soultion of the follwoing equations dy cos x + y = cos²x, 15

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Eliminate the parameter from the parametric equations: æ = 3 sin t y = 2+ cos t The resulting…

A: Given: x=3sint                                                                   ..1y=2+cost…

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: The given parametric equation is x=cos 2t,   y=sin t,    -π≤t≤π. This implies that, x=cos…

Q: The x and y coordinates of particle P, executing simple harmonic motion, are [x = A cos wt, y = A…

A: Given statement is "The x and y coordinates of particle P executing simple harmonic motion, are…

Q: x = 4 cos t and y = 4 sin t 0sts 4

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Q: The River debit on the 1st of every month for a year. Month Jan Feb Mar April May June July August…

A: The regression is a technique used to fit a dataset into an equation. A graphing utility can be used…

Q: A particle moves according to the position function s (t) = e2t sin (3t). %3D

A: Definition used -                        v(t)= dsdt                       a(t)=dvdt=d2sdt2…

Q: (b) y = e-u cos(u) dy = -e"sin(u) – e"cos( u) os u

A: The given function,  y=e-u cos(u)

Q: The cos'ydy is equal to 3 1 A. siny + sin³y + sin³y -; sin'y + C 5 3 B. siny – sin³y +sinsy -sin?y +…

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Q: • Find a harmonic conjugate of u(r, y) = x² – 2x – y². Show that u(r, y) = e" cos y is harmonic.

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Q: Find the general solution to the hypergeometric ODE #(1 – 2)y" + (; - 2-) a - - 0. 3 ) y y = 0.

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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: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 5 + 3…

A: Given x=5+3 cost -1   y=5+3sint -2  π2≤t≤3π2In compare 1 & 2  with st.eqnx=h+r cost y=k+r sint…

Q: Find the cartesian equation of the curve

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Q: 4 T <a < m; cos ß = .0 < B <% =5.0 <B < 37. tan a = %3D 3' 2

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Specify it if the differetial equation is exact or non-exact. FInd the general solution. (cos2y -…

A: Given that: (cos2y-3x2y2)dx+(cos2y-2xsin2y-2x3y)dy=0

Q: a. Find the solution set for log, 2+2.log3 x= log, (7x-3) b. Plot the polar curve r 2(1-cose) in…

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Q: B) Find the intersection points of r2 = sin 0, 0 = %3D 3

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