express in Cartesian equation and evaluate it shape. Hence, sketch the graph of the curve and determine the domain, (b) Show that the curve r=4 cos 0 +5 sin 0 can range and the maximum value of r.

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A: We can find some of the solutions of sinx=0.3 graphically by graphing y=sinx and y=0.3.

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A: Given : The curves r1(t)→=2t,t6,-t2   and  r2(t)→=sin(3t),sin (2t),t-π intersect at origin(0,0,0).

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A:

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A:

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A: First of all we will simplify the given equation using the formula for cos 2theta. Then we will…

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Q: Beats Express cos 3t - cos t in the form A sin at sin ,Bt, and sketch its graph.

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Q: olve the equation on the interval 0≤θ≤2π 2sin^2θ+sinθ=0

A: on solving this we get

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A: Let  fθ=sin θ+cos θ Differentiate with respect to 'θ', we get f'θ=cos θ-sin θ For maxima or minima,…

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A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

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A: Given: y=-32 sin x2-π4 To sketch for two full periods.

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A: Solution

Q: Show that the equation has exactly one real root. 2x + cos(x) = 0 %3D

A: Our Aim is to show that the equation 2x+cos (x)=0 has exactly onereal root.

Q: 3 sint 0. te (-00, 0), solves x' 1 - Show that x(t) = %3D -3 cos t and sketch the graph of the…

A: Find the value and draw the curve.

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A:

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A: Trigonometric equation

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Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one…

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Q: 3 tan(30) + 1 = 0 (a) Find all solutions of the equation. = (b) Find the solutions in the interval…

A: 3tan3θ+1=0⇒3tan3θ=-1⇒tan3θ=-13⇒3θ=5π6, 11π6, 17π6, 23π6, 29π6, 35π6⇒θ=5π18, 11π18, 17π18, 23π18,…

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A: Given r= 12 sinθ

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A: Please refer the attached image for complete solution.

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Q: - cosx + cosx -6 = 0 has no solution.

A: Let f(x)=cos2x+cosx-6.  Then f(0)=-4&lt;0, f(2pi)= -4&lt;0   Hence f(0)f(2pi)&lt;0.   So there is no…

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A: Given -sin(2x)+2cos(x)=0We know that sin(2x)=2sinxcosx-sin2x+2cosx=0

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A: Maxima or minima: Let f(x) is any function. 1) Evaluate f'(x) = 0 for critical point. 2) Evaluate…

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Q: Convert r = to rectangular form. 3 sin 0-cos 0 Enter your answer in slope-intercept form by filling…

A: Given: To explain the given statement as follows, To convert  in the rectangular form.

Q: 1. Find the all real roots of the equation : cos(2x) - x/2 = 0, x in radians Use the Method of…

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Q: Use the Intermediate Value Theorem and Rolle’s Theorem to prove that the equation has exactly one…

A: The given equation is 3x+1-sinx=0. It can be seen that f0=1&gt;0 and f-π=-3π+1&lt;0.

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A: topic - trigonometric equations

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Q: Find all exact solutions on [0, 2n). (Enter your answers as a comma-separated list.) 2 sin(30) = V7

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