Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

Q: Find parametric equations for the line passing through the points (10,3,1) and (8,6,-2) using the…

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Q: A passive rotation by an angle of a vector v in the xy-plane, measured counterclockwise in the…

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Q: Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

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Q: Find the parametric equation of the line that passes through point P(2,3,4) and is perpendicular to…

A: To Determine: Find the parametric equation of the line that passes through point P(2,3,4) and is…

Q: Convert to polar coordinates in the xz-plane, similar to Example 3 in the book. r2 63 – 2x? – 2z? –…

A: The limits lead to interpretation that,   From (2), Comparing the above result with  r=3

Q: (3) Find a parametric equation for the line segment joining (1, 0, 1) and (0, –2, 1).

A: The direction vector of the segment is: (0,-2,1) - (1,0,1) = (-1, -2, 0) Initial point is (1,0,1).…

Q: Find the exact length of the polar curve = 2 over the interv < T. Show your work. (No approximation…

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Q: (Picture of question is attached)

A: Calculate the values using the given polar equation and complete the table.

Q: 25) Evaluating in polar coordinates: 6*L*(x² + y²)dydx

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Q: Find two sets of polar coordinates for the point for 0 sO<2n. (r, 0) (-3, 0 (smaller r-value) %3D…

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Q: Express the functions ƒ(x, y) = (x2 + y2)5/2 and h(x, y) = x2 - y2 in polarcoordinates.

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Q: Find the slope of the polar curve r = 2( 1 – cosx ) when x = pi/4 . a. 1.707 b. 2.414 c. 1.866 d.…

A: Given equation of curve : r=21-cosx   ,  x=π4. drdx=2sinx The slope of polar curve   r=21-cosx  at…

Q: 4. Determine the parametric equation of the line that passes through (2, -1, 3) and is perpendicular…

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Q: 2. Let r>o and Fo tina20 And use polar coordinates KZQ and use polar coordiinates (8,7) >(0,0)

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Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8,…

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Find the 1st  and 2nd Derivate of y with respect to x from parametric equations. Complete solution…

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Q: 1.Find the area of the triangle in the xy-plane with vertices A(n,n2, n3),B(m,m2,m,),C(r..). 2.…

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Q: 25-r2 Evaluate (x2 + y?)3 dy dx by converting to polar coordinates.

A: we have to evaluate the following

Q: 2. \ Evaluate •V4-2² dydx + dydx 2x-r2 using polar coordinates.

A: We have to evaluate the integral using polar coordinates.

Q: 5. Find the distance from the point (3, 0, 10) to the plane 2x+3y+ z = 2. 6. Write the parametric…

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Q: Find a parametric equation for the line through the point ( – 1, – 1,2) and perpendicular to the…

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Q: i HW/ O change from. polar to Cartesian Co-ovdinate's (3, ) vE-2- Cose ... 1,0) © (-4, 3), @ (5,…

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Q: 'n 1932, Giuseppe Momo was commissioned to build the famous Vatican Museum double spiral staircase.…

A: At first we have to find the parametric equation of the spirac staircase. Then we have to find its…

Q: 3) (a) Find the intersection points of the polar curves r = 3 + 2sin0 and r = 2

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Q: Find parametric equations for the path of a particle that moves along the curve y=x from (1, 1) to…

A: Given Parabola is y = x²

Q: Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane…

A: Given that The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5 A vector…

Q: Find the image of (2, –2) after a counterclockwise (passive) rotation of the axes about the origin…

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Q: Find the points of horizontal and vertical tangency (if any) to the polar curve. r = 3 tan θ

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the number of points of intersection of the polar curves r=2cos0 and r=1+2sin0. O 1 3 O 2

A: Number of point of intersection of polar curves r=2cosx and r=1+2sinx

Q: 2T and 3 5n using the pencil. -5, -- Plot the points with polar coordinates 3, 2n 2. 12 4. 11m w/

A: To plot the points on polar coordinates

Q: 5. Evaluate ffi dA, where R= {(r, y)|1<r² + y² < 9, z20, y 2 0} %3D (Hint: Use polar coordinates.)

A: Given that, The double integration is, ∬xx2+y2dA Where,  1≤x2 + y2 ≤9,     x≥0,    y≥0 We have to…

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve). x…

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Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…

A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane:       4x+3y-2z=6.

Q: (2. Plot the points with polar coordinates 2, and -3, 2 using the pencil. 6. 3 3n 4 5n 6. 4. 7n 6.…

A: topic - plotting of points in polar coordinate system

Q: Q.1 Find the parametric equation of the line that 2)Passes point (1,3,7) and orthogonal to xy-…

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Q: Find the rectangular coordinates of the point(s) of intersection of the polar curves r= 4 sin(2 0)…

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Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x+2y…

A: Let F(x,y,z) define a surface that is differentiable at a point (x0,y0,z0), then the normal line to…

Q: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

A: Determine the angle of rotation necessary to transform the equation in x and y into an equation in X…

Q: Find a parametric equation for the line through the point (- 1, - 5, - 2) and perpendicular to the…

A: The parametric equation of the  line through the  points P0x0,y0,z0 and Plane a, b, c is x=x0+at…

Q: polar Co-ovdina 4x²= y²-44+8

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Q: 3. What is the parametric equation for the line through the point (1,2,3) parallel to the y - axis?

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Q: 5. Find parametric equations for the line of intersection of the planes x + y = 1 and y +z = 1.

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Q: Find parametric equations for the line through the point (0, 1, 2) that is perpendicular to the line…

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Q: i need to convert below z=64-4*x^2-4*y^2 and above the xy-plane into polar coordinate however i am…

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Q: Flnd the parametric equation of the line of ntersection of the planes and

A: First find normal vector then take cross product and use formula

Q: What solid of rotation is created here if the axis of rotation is the x-axis? -2

A: to find:- type of solid generated after rotation about the x-axis.

Q: 3. If Å = +2.00m i - 3.00m k and = -4.00 mi - 3.00m k , find the resultant R = A-C using component…

A: Use the component method to find the difference of the vectors.…

Q: 2 Evaluate V4-x? Jo J2- dy dx using polar V 2x-x2 Coordinates.

A: Solution:-

Q: 3. Transform x^2+y^2-2x+y-2=0 from rectangular to polar

A: The given rectangular equation is: x2+y2-2x+y-2=0

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.