r = 1 + 2 sin 20; ( 3,- 4.

Q: 4. x= 3+4 sine, y = 3cos0-4

A: Note:- I am solving here first 2 parts of this question. Second derivative and draw the figure . But…

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Q: Simple curves Tabulate and plot enough points to sketch a graph of the following equation. r (sin θ…

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Q: Tangent lines Carry out the following steps.a. Verify that the given point lies on the curve.b.…

A: a) We plug x=0 and y=0 in the given equation So, (0,0) satisfies the equation. This means (0,0)…

Q: 19. r = cos 20, 0 = "/4 I|

A: Since question 18 is incomplete so i have to do 19  As per guidelines we have to solve one question

Q: Intersection points Use algebraic methods to find as many intersection points of the following…

A: r = cos 2θ and r = sin 2θ We need to find the intersection point.

Q: polar curves. 63. The complete circle r = a sin 0, where a > 0

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Q: Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the…

A: Given:   To find: The slope of the line tangent to the given polar curve at the given point.

Q: Find the slope of the curve at the indicated points. r=3-4 sin 0 Point A B Polar Coordinates (3,0)…

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Q: The curve with polar equation 24 3 cos 0 + 4 sin 0 = s a line. Find the slope and the y-intercept of…

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Q: Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the…

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Q: topic: calculus of polar curves 1. Find the slope of the curve r = 2cos 4Ɵ 2. Find the slope of…

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Q: Multiple tangent lines at a pointa. Give the smallest interval [0, P] that generates the entire…

A: For part (a) :  Here it is required to find the smallest interval that generates the entire polar…

Q: Tangents and normals Let a polar curve be described by r = ƒ(θ), and let ℓ be the line tangent to…

A: Consider the given figure: The line l is tangent to the curve. The tangent line is making alpha…

Q: curve r 4 cos0 and find the equation of the curve in Cartesian coordinates 8. Sketch the polar

A: to determine.

Q: Slopes of tangent lines Find all points at which the following curves have the given slope. x = 2…

A: Given that x=2cost   and  y=8sint. Slope = -1. x=2cost y=8sint dxdt=-2sint dydt=8cost…

Q: Given the polar curve r = 2sin(3theta) --------- (I) [1] With the aid of a graphing calculator,…

A: Note: As per bartleby instruction when more then three questions for subpart is given only three…

Q: Curve-plane intersections Find the points (if they exist) at which the following planes and curves…

A: Given Data The equation of the curve is rt=10cos t,2sin t,1. The interval is 0≤t≤2π. y=1.   Compare…

Q: Using a graphing utility Use a graphing utility to graph the following equation. In the case, give…

A: Given that r=sinθ4

Q: Given r = 2(1-sin theta)  1. Find the tangent line equation at (r, theta) = (2, 0). Show all work to…

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Q: 11-20. Slopes of tangent lines Find the slope of the line tangent to the following polar curves at…

A: The given data is: r=8 sinθ; 4,5π6 To find the slope of the tangent lines.

Q: Eliminate the parameter to find a Cartesian equation of the curve. Sketch the curve and indicate…

A: Cartesian equation from parametric curve

Q: Can i get help with this problem step by step please?

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

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Q: Previous Question Find the slope of the line tangent to the following polar curve the given point.…

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Q: 10.3.5

A: Given: The provided polar curve is

Q: Parametric curvesa. Eliminate the parameter to obtain an equation in x and y.b. Describe the curve,…

A: x=3cos-t, y=3sin-t-1 a). x=3cos-t, y=3sin-t-1⇒cos-t=x3, 3sin-t=y+1 ⇒cost=x3, -sint=y+13…

Q: 14) (a) Given the polar equation r = 1 - 2sin(e), sketch the curve by first sketching the graph of…

A: the red line represents the cardioid r=1-2sinθ and the blue line represents the x2+y2=x2+y2-2y where…

Q: Simple curves Tabulate and plot enough points to sketch a graph of the following equation. r = 1 -…

A: Simple curves Tabulate and plot enough points to sketch a graph of the following equation. r = 1 -…

Q: Tangent lines Carry out the following steps.a. Verify that the given point lies on the curve.b.…

A: Given that: cosx-y+siny=2…

Q: Finding intersection points Find the points at which the curvesy = cos x and y = x intersect.

A: Here given curves as y= cos x , y = x

Q: 4. Sket ch a graph of the polar equati on r = 4 cos 30 and find the tangents at the pole. 6 5. Sket…

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Q: y = cos), X = sin (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch…

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Q: Given: r = 3 - 5 sine a) Sketch the curve and label 4 polar points. b) Find the slope of the tangent…

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Q: atch the polar equations (a), (b), and (c) with their respective curves from (i), (ii), and (iii)…

A: a) r=-1+2sin(θ) table for the polar coordinate θ r (r,θ) 0 1 (0,1) π2 1 π2,1 π -1 (π,-1)…

Q: Using a graphing utility Use a graphing utility to graph the following equation. In the case, give…

A: Given curve, r=cos 3θ + cos22θwe have to graph the given curve, in the interval 0,π

Q: Equations of lines Describe and graph the following line. r(sin θ - 4 cos θ) - 3 = 0

A: rsinθ-4cosθ-3=0 When θ=π, rsinπ-4cosπ-3=0⇒r0-4-1-3=0⇒4r=3⇒r=34 When θ=π2,…

Q: Polar-to-Cartesian coordinates Convert the following equations to Cartesian coordinates. Describe…

A: Polar r, θ to Cartesian coordinates (x, y): x=rcosθ      ...(1)y=rsinθ…

Q: Parametric curves and tangent linesa. Eliminate the parameter to obtain an equation in x and y.b.…

A: Solution:- The parametric equation of the curve is  x=8 cost+1,y=8 sint+2, for 0 ≤ t ≤ 2π; t = π/3

Q: 4.) Sketch the curve r = 1 + 5 sin by first sketching the graph of r as a function of in cartesian…

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Q: e graph of a sinusoidal function intersects its midline at (0, 1) and ite the formula of the…

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Q: Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the…

A: Consider the given equation r=4+sinθ and 3,3π2 The polar coordinate is of the form x=rcosθ, y=…

Q: Slopes of tangent lines Find the slope of the line tangent to the following polar curves at the…

A: Consider the given polar equation as r=fθ=4cosθ Now differentiate  f'θ=-4sinθ

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Q: Can i get help step by step?

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Q: The curve Chas polar equation r= 2 cos(1+sine), for 0 << . (a) Find the polar coordinates of the…

A: This is the problem of polar coordinates.

Q: A curve with polar equation r = represents a line. Write this line in the given Cartesian form. y =…

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Q: 13. Sketch the Curve by Eliminating the Parameter. a) Sketch the curve and show the direction as t…

A: The objective is to solve the above questions.

Q: 3. (Polar Coordinates: Length of a Smooth Curve). For each of the following curves r-f(0) in polar…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Slopes of tangent lines Find all points at which the following curves have the given slope. x = 4…

A: Slope of a line is given by dydx, in parametric form we can write it as - dydx = dydtdxdt…