48. Find the point on the circle x + y = 1 that is closest to the point (2, 1).

Q: 22 Calculate 8 - z dz, where C is the circle of radius 7, centre 0, negatively oriented.

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Q: 8. , (2x – y) dA, where R is the region in the first quadrant enclosed by the circle x? + y² = 4 and…

A: Dear bartleby student ,According to bartleby rule Answer the first question, unless the student has…

Q: Evaluate the line itegral where C is the upper half of the circle z +y = 3.

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Q: 4. Compute, ydx + xdy x² + y² where C is the circle centered at the origin of radius 2 oriented…

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Q: Find the minimum distance from the point (3, 0) to the circle x2 + y2 = 4.

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Q: Evaluate | dz where c is the circle z| = 2. z (z+4)

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Q: 17. Concentric with the circle (x – 2)² + (y – 1)² = 4 and passes through (4, –1) %3D

A: Given, Concentric with (x-2)2+(y-1)2=4 and passes through (4,-1) General equation of circle is…

Q: Determine the length of the tangent to the circle x2 + y2 − 4x − 5 = 0 from (8, −2)

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Q: ) Find the Extreme values of f (x, y) = x³ + y² on the circle x² + y² = 1. %3D

A: To find the extreme values of the function f(x, y) =x3 + y2  on the circle which is the…

Q: Using Simpson s Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4).

A: Mathematical methods used to solve equations or evaluate integrals or solve differential equations…

Q: 6) Find the area of the surface generated when the upper portion of the circle x + y? = 100 on the…

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Q: Draw a circle tangent R150 into two circle.

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Q: 3. 8.5 W 20

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2: Evaluate O (6y+x)dx+(y+2x)dy where C is the circle (x–2)²+(y-3)² = 4 | a) Using Green's Theorem

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Q: 8., (x + y) dA, where R is the region that lies to the left of the y-axis between the circles x? +…

A: As you have asked to answer question 8, we will answer question 8.Question 8.The given integral…

Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: 5) Determine the points on the unit circle that intersect the line y = mx.

A: Given unit circle We know that the equation for unit circle is x2+y2=1let x2+y2=1 ---> equation…

Q: Q.6 If the locus of the mid-point of the line segment from the point (3, 2) to a point on the…

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Q: 9. Given: a circle with a center O and a straight line with a point M on it (they do not intersect).…

A: solution is given below....

Q: 16 6xy ds, where C is the right half of the circle x² + y² = 4. Evaluate the line integral

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Q: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

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Q: Find the points on the graph of circle defined as (x – 1)2 + (y + 3)2 = 16 where the normal line is…

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Q: Find the shortest distance from the point ( – 1, – 2, 5) to the cone z = x² + y?. Please round to…

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Q: Determine if line AB is tangent to the circle. 16 12 Tangent O Not Tangent

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Q: What is the equation of the circle concentric with circle(x-2)2 + (y+1)2 = 5 that is tangent to the…

A: Explanation of the answer is as follows

Q: Compute . Z+1 dz, where C1 is a part of a circle with r = 3, and 0<0< %3D

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Q: The tangent to the circle x2 +y2 +10 x+5 y= 60 at the point (2 ,4) is Select one: O None O 13 y +…

A: Given that:x2+y2+10x+5y=60

Q: Q7// Find the distance between line L1:y=2 x+6 and circle with .center (1,2) and radius 2

A: The distance between the circle and the line is equal to the perpendicular distance between the…

Q: Evaluate P (3x + 4y) dx + (2x – 3y) dy where 'C is the circle x?+y = 4.

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Q: 4. Let C be the the circle ² + y² = 4 and Calculate the work(W = [,F dr when C is traversed in the…

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Q: Find the length of the tangent to the circle x²+y²-2x-3y-1=0 from the point (2,5).

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Q: Let S(x, y) = x² + y² – 2x – 16y + 10 = 0 be a circle and L(x, y) = x – 5y + 10 = 0 be a line.

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Q: 4. Evaluate / (z – 2) dz where C is the lower half of the circle |2 – 2| = 4.

A: Note: According to bartleby guidelines we have to answer only first question please upload the…

Q: Find the length of the tangent to the circle x² + y² − 2x − 3y − 1 = 0 from the point (2, 5)

A: Solution- The equation of the circle x2+y2-2x-3y-1=0 The point =2,5 length of the tangent

Q: b) |Im(z)dz, where C is the circle |2| = 2 traversed once counterclockwise. %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3.2 5.5 6. A

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Q: Identify the center and radius of the circle passing through the points P(1, 3) and is tangent to…

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Q: Evaluate fc (2 +x 2y ) ds, where is the upper half of the unit circle x2 y2 =1

A: We have to evaluate ∮C2+x2ydS   where C is the upper half of the unit circle x2+y2=1

Q: 7. Find the angle of intersection between the curves y = x + x-8 and y = x

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Q: 11. Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is…

A: Tangent is a line that touches the curve at a point. A line that touches the circle at a single…

Q: 14. ,x dA, where D is the region in the first quadrant that lies between the circles x? + y² = 4 and…

A: The objective is to evaluate ∫∫DxdA, where D is the region in the first quadrant that lies between…

Q: 2. Let be the part of the circle x² + y² = 9 from (-3,0) to (0, 3) in the upper left quadrant.…

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Q: Evaluate (² + y2) ds, C is the top half of the circle with radius 2 centered at (0,0) and is…

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Q: You are to draw two circles, centered at points C and D. Circle C is the smallest circle that is…

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Q: 7. Determine if line AB is tangent to the circle. Show your work. B 6 12 16

A: Use circle property

Q: The DE for the family of circles of radius 9 is:

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Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³– 81=0 B [1+ (y')²]²- (» )²-[1+…

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Q: Q2 Start with a circle of radius 4 unite . Draw the second circle with radius 2 and the third one of…

A: Q2, Given that, One Circle with a radius of 4 units One circle with a radius of 2 units One circle…

Q: 2. True or False: AB is tangent to circle O. B 12 16 A True False 30

A: If AB is tangent to circle O, then ∆AOB must be a right-angled triangle with ∠OBA=90°. We can check…

Q: Let C be the circle |z| = 4 traversed once in the positive sense (counter %3D clockwise). Compute :…

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