Please answer all questions. Will RATE immediately! please answer question 4 only. A curve is drawn...
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The curve shown in the graph below is called a lemniscate. Its polar equation is T COs 20 0.25 -0.5 0.5 -0.25 Find an equation for the lemniscate in rectangular coordinates (a) (b) lemniscate Set up and evaluate an integral to calculate the area enclosed by the
The...
Please answer all parts of this question (Especially the last
two), Please make sure the answer is correct. Provide explanations
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Question 1 points How dd The surface figured, which is part of a right-circular cone, is called a frustrum. But it kind of looks like a fez frustrum fez If the radi of the top and bottom are r and R and the slant height is s (note lower case s), then the...
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PROBLEM 1
PROBLEM 2
PROBLEM 3
PROBLEM 4
Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7 Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 5, directrix y = -4 Consider the equation below. 1+ sin(0) (a) Find the eccentricity. e = (b) Identify the conic ellipse parabola hyperbola...
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Then graph it. 5) (15 points) a) Sketch the graph of the curve r = 1 + sin 8 for 0 SO S2 b) Find the slope of the tangent line to this curve at 0 = c) Find the polar coordinates of the points on this curve where the tangent line is horizontal
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(1 point) In 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase. Suppose that it takes you one hour to stroll at a constant speed up one spiral of this staircase, which has a radius of 25 feet and a height of 54 feet and makes 6 revolutions. (a) Assuming the spiral staircase is centered about the z-axis, find a vector parametric equation for the helical path you take...
all one question, please answer all 4 parts
B Three 80.5 g masses are connected in a triangular shape by massless rigid wires as shown in the first image (which is not drawn to scale). The coordinates of each mass are given in centimeters. Mass A is located at (0,0), mass B is at (15.2, 16.5), and mass C is at (16.3, 12.4). Find the x- and y -coordinates of the center of mass of the triangular object. с А...
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4. 15 points SCalcET8 10.PP501.XP. A curve is defined by the parametric equations below. cos(u) du y= Find the length of the arc of the curve from the origin to the nearest point where there is a vertical tangent line. Need Help? İ-Read it-İLTalk to aTutor Submit Answer Save Progress 5. 15 points SCalcET8 11.PP.006 Find the sum of the series 5 , 7 , 25 , 35 , 49...
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1. (8 points) Let r(0) = k tan o be a curve defined in polar coordinates, where k is a nonzero real constant. Find the correct formula for " dy dx 2. (10 points) Given below are the graphs of two functions y = f(x) and y = g(x). Use the graphs to find the indicated value. y = f(x) y = g(x) WN...
Please answer a,b and d(most important) . TQ
(BEKG 2443) PART B: ANSWER ONE QUESTION ONLY QUESTION 4 Given S is a surface for a part of the sphere x2 + y2 + x2 = 4 that lies above the cone z = √ x² + y² (a) Find a parametric representation for the surface S in terms of 6 and 0. Then, determine the domain of O and e. (5 marks) (b) Based on the expression written in (a),...
all three questions please
Use the table below to answer the following question(s). Pickson Luthiers Corporation is studying where to locate a phone charging point on the factory floor. The locations of five production cells are expressed as X- and Y-coordinates on a rectangular grid of the factory layout. The daily demand for the charging point (measured as the number of trips to the charging point) at each production cell is also known. Because of the nature of the equipment...