3. You want to manufacture a fruity cake in a unique shape. You designing a shape for a fruity cake by generating r=8 sin 0 – 2 sin 40 about the polar axis and make it 8 cm in height. You decide to pack it in a box. You need to know how much mixture of fruity cake to have on hand for a production run of ten boxes. Sketch the graph of r.

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Given  equation r=2+3sinθwe have…

Q: 4. Consider the polar curve C1 given by r = sin(0), for 0 e [0,27), (a) Find the area of the region…

A:

Q: Consider the following polar curve: = sin(20) (a) Sketch the graph of the curve (a rose with four…

A: Follow the steps below to get the answer, don't shade the region I have done that for your…

Q: 1. Use polar coordinates to find the area inside r = 4 cos 30 and outside r =2.

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Q: After finding all the required values, for the polar curve r (0) : sin(0) we can find dy 2 -7 when 0…

A: FOR THE GIVEN INFORMATION

Q: 18. Find the exact length of the polar curve.r= 4 sin 0 ,05OST 4

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation r = 2+ 3 sin…

A:

Q: 12/2 Use polar coordinates to evaluate dydx. 3 0. (x² + y²)²

A: To convert cartesian coordinates to polar coordinates , put x=rcosθ, y=rsinθ , dydx=rdrdθ So,…

Q: In math land, there is a clock. The hour hand of this clock is 1 ft long. However, the clock is…

A:

Q: 4. a) Find the entire are length of the curve r = 2a cos³ (0/3).

A: 4a Given curve is r=2acos3θ3. We have to the entire arc length of the given curve. The entire arc…

Q: Give a rough sketch of the graph of the curve r= 1+ cos40, 0 < 0<2r.

A: The given curve is  r=1+cos 4θ,  0≤θ≤2π

Q: Find the slope of the line tangent to the polar curve at the given point. 11n r= 4 sin e; - 2,-

A: Given,            r=4sinθ ; -2,11π6

Q: find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. r = 2 + 3…

A:

Q: Find the exact length of the polar curve. 4 sin(0), o 0S T/3

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Q: 6. Consider the curves: r = 2 + cos 2θ and r = 2 + sin 2θ, a) Sketch a graph of both curves on the…

A: Given:  r=2+cos2θ r=2+sin2θ To find: Sketch a graph of both curves on the polar graph. Find all the…

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Topic  = Derivatives

Q: 3. Graph the polar equation and find the area of the region. Interior ofr= 6+3 sin 0

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Q: Show that cos(18θ)=cos^3(6θ)−3cos(6θ)sin^2(6θ) and use this identity to find an equation in…

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Q: A particle moves along the polar curve r = -4+ 4 sin 0 in such a way that the angle between the…

A: r = -4+4sinθ  dθ/dt= 5 unit/sec  Find dr/dt when θ = π/2

Q: In Problem,find zw and z/w Leave your answers in polar form.

A: Given,           z=2cosπ8+i sinπ8

Q: Find the exact length of the polar curve r=e2(theta) , where 0 is less than or equal too theta is…

A:

Q: Consider the polar curves Cı: r=-3 sin(20) and C2 : r = 3 sin 0. Set up the definite integral that…

A: The given problem is to find the area between shaded region which is formed by two parametric…

Q: r = 2– sin(0)"

A:

Q: Show that cos21θ=cos^3(7θ)−3cos7θsin^2(7θ )and use this identity to find an equation in rectangular…

A:

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: Describe the graph of the equation. r = 10 sin 17ri+ 10 cos 17t j O Itis a circle of radius 10 in…

A: Solution :-

Q: 12. (a) Sketch the curve in the polar coordinate system with directions, (b) Find the values o for…

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: The polar equation is r=2+3sinθ. Recall that fact that x=rcosθ,y=rsinθ. That is,…

Q: 4. Find the exact length of the polar 2 cos os 0, 0 < 0 < T. curve r

A: Given: r=2cosθ on 0,π L=Length of Polar curve= ∫ab(r(θ))2+(r'(θ))2dθ now, r'(θ)=ddθ(2cosθ)=-2sinθ…

Q: Describe the graph of the equation. r = 3 cos ti - 18 sin tj + k O An ellipse in the plane z = 1,…

A:

Q: 6. Consider the curves: r = 2+ cos 20 and r = 2+ sin 20, a) Sketch a graph of both curves on the…

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Q: In math land, there is a clock. The hour hand of this clock is 1 ft long. However, the clock is…

A:

Q: Find the equation of the tangent line to the polar curve r = 3 + 8 sin θ at θ = π/6. Note that…

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Q: (b) Find the slope of the line tangent to the polar curve r = 1- 2 cos e at the point where e = -2.…

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Q: Find the polar equation of a hyperbola with eccentricity 2, and directrix y = 5. Select the correct…

A: We have to find the polar equation of the hyperbola with eccentricity 2 and directrix y=5.

Q: Describe the graph of the equation. r = 7 cos ti – 18 sin t j+ k O An ellipse in the planex = 1,…

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Q: 7) Find the points at which the polar curve r = 1+ cos® have horizontal or vertical tangent lines.

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Q: Find the exact length of the polar curve

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Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Given:

Q: 44. A tangent at the pole to the polar curve r = 2- 4 sin 0 is af pole 0 = = D 0 = Sing 8sin

A:

Q: Find the polar coordinates of the points of intersection of the given curves for O se< 2n. r= sin 8,…

A: To finding intersection points we need to solve the given equation

Q: 33 A curve with polar equation r 9 sin 0 + 55 cos 0 mx + b,where m and b are represents a line. This…

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Q: 4. Suppose that the final digits of your student number are . abcd if it is a 4 digit number or .…

A: As per the guidelines I am supposed to do the first 3 subparts only. Kindly repost the others…

Q: 2. a. Sketch the graphs of the rose r = 4 cos20 and the circle r = 2 in one polar plane. Provide a…

A: Given: and   Formula used:

Q: 4. Consider two gears working together (in a pulley-like situation) such that the smaller gear has a…

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Q: Describe the graph of the equation. r = 7 cos ti - 9 sin t j + k major axis of length 7 parallel to…

A: We need to describe graph of given function.

Q: 15) Find the slope of the tangent line to the given polar curve at the point specified by the value…

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Q: Chapter 12, Section 12.1, Question 010 Describe the graph of the equation. r = 4 sin 6t i– 4 cos 6t…

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Q: For what value of k does the polar graph r= ksine + 1 produce a horizontal tangent at 9-? Ok= 1…

A: We will solve the problem