find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. 2x2 + y2 = c2

Q: Find the exact length of the curve.   y= 2/3x3⁄2,    0 ≤ x ≤ 4

A: Given query is to find the length of the curve for the interval.

Q: Find the endpoints points of the lactus rectum for (y-3)^2=8(x+1)

A: Given problem:- Find the endpoints points of the lactus rectum for (y-3)2 =8(x+1)

Q: Find the length and midpoint of AB A= -17 B= -3 Length= Midpoint=

A: Given: A=-17 B=-3

Q: Find the length of the curve. x = y^2/3, 1 … y … 8

A:

Q: What point is symmetric with respect to the y-axis to the point (;) V3 (pp. 12–14)

A: Given point is : 12,32

Q: Find all points on the y-axis that are a distance 6 from P(5,3).

A: A point on the y axis is of the form (0,k) , where k= real number. Let (0,k) is 6 units away from…

Q: Find the exact length of the curve. y = 4 + 6x3/2, Osxs1

A:

Q: The curve r (t) = goes through the point (6, 1, 5). True False

A: Topic  is  Vector

Q: Find all points on the curve 5x² + 8y² = 64 %3D

A: Given: The curve 5x2+8y2=64 where tangent line passes through the point (11, 0). To find: All the…

Q: Find the lengthof the curve 」 9メ d S16 3_ %3D

A: Given curve is By fundamental theorem of calculus,

Q: Find the exact length of the curve. y = 4 + 4x3/2, osxS1

A:

Q: Find the exact length of the curve. y = 4 + 8x3/2, Osxs1

A:

Q: Find the exact length of the curve. y = 5 + 8x3/2, osxs1

A: Given: y=5+8x32,   0≤x≤1

Q: The Cartesian coordinate of the below point x are =(v2. ) 3

A:

Q: dx, using two and three points Gauss Quadrature Q4 (a) Approximate the value of

A:

Q: Find all points on the x-axis that are a distance 5 from P(−2, 3)

A: Given,P (-2, 3) and distance,d = 5

Q: Apoint P(x,2) is equidistant from the points (-2,9) and (4,-7). What is thevalue of x?

A:

Q: Find all points on the x-axis that are a distance 5 from P(−2, 4)

A: Given,           All points on the x-axis that are a distance 5 from  P(−2, 4)

Q: Where should the point P be chosen on the line segment AB so as to maximize the angle θ?

A:

Q: Which of the following is symmetrical with respect to the x-axis? Chapter Re

A: here option D is true because

Q: find the orthogonal trajectories of the family ofcurves. Sketch several members of each family. y =…

A: Consider the provided curve, y=cx2 Find the orthogonal trajectories of the family ofcurves. First…

Q: find the point p such that v=pq has the components (5,-7,-4)

A: find the point p such that v=pq has the components (5,-7,-4)

Q: 2. F(-1, 1), G (1, 3), Н (4, -2), and I (2, —4)

A:

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

A:

Q: Eliminate the parameter to obtain an equation in x and y: x=-2cos2t, y=-2sin2t

A: x=-2cos2t y=-2sin2t using trigonometric property,               sin2t+cos2t=1

Q: Q1: Find the distance between the given Points: (2v3, 4) & (-V3, 1). (a, b) & (0, 0).

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Which cube root equation shows a x-axis reflection, a vertical compression, a left horizontal…

A:

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e5", where the value ab is as…

A: We need to find the minimum value of ab So, let fx,y=xy We need to minimize this function and find…

Q: The earnings per share for a social media company were $5.19 in 2017 and $7.53 in 2018. Use the…

A: Given: The earnings per share for a social media company were $5.19 in 2017 and $7.53 in 2018. To…

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A:

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e, the value ab is as small as…

A:

Q: Find the exact length of the curve. y = 4 + 4x3/2, oSxS1

A:

Q: analyze and trace the given curve y = 2x3 + 3x2 - 12x + 7

A: Given:

Q: Use the Midpoint Formula repeatedly to find the three points that divide the line segment joining…

A:

Q: Solve The family of curves is given by the equation y = Inx". The orthogonal trajectories for these…

A: Steps to find the orthogonal trajectories of the  given family of curves : Find the differential…

Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = e9, where the value ab is as…

A:

Q: Find the coordinates of the points shown.

A: In the rectangular coordinates system, suppose the coordinates of point A are (a, b) which…

Q: Find the number  a such that the line x = a  bisects thearea under the curve  y = 1 / x 2  , 1<…

A: Our Aim is to find a number such that line x=a bisects the area under the curve y=1x2, 1≤x≤4.

Q: Show the complete solutions, kindly include all the necessary drawings, graphs and illustrations.…

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Q: Find the point P such that v = PQ has the components (4, 3, -10.5). Q = (5,9, -8.5) P =

A: To solve the following vector

Q: Find all points on the y-axis that are a distance 6 from P(5, 3).

A: P5, 3 is at a distance of 6 units from the y-axis

Q: 1. A (-2,-1), В (-1, 3), С (4, 3), and D (3,-1)

A: We will find the slope of each of the four lines and then compare the slopes to find if we have a…

Q: Imagine a parabolic PDE represented by this diagram. Which of these lines represent initial…

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Q: Find a linear speed of a tip of minute hand if a length of the minute hand is 28 cm long. Hint: 6. @…

A: Use linear speed formula

Q: (a) Find the involutes of straight line.

A:

Q: Find the exac length of the curve 3/2 , 0dxE y=2+2x

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Q: .Find the value of x if H is the midpoint of GJ, GJ = 4x - 6, and GH = 27. %3D %3D

A:

Q: Use the method of Lagrange multipliers to find the points on the circle x2 + y2 = 52 that are…

A:

Q: V. Use the method of Lagrange multipliers to find the points on the circle x² + y? = 10 which are…

A: Solution of given problem is followed by

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.