If F = V(4x? + 5y4), find . É. dř where C is the quarter of the çircle x? + y = 4 in the first quadrant, oriented counterçlockwise.

Q: Find the center and radius of the circle x2 + y2 = 6y + 16.

A:

Q: The distance d from P1=(2,-5) to P2=(4,-2) is d=..................

A: The given points as ordered pairs are  P1=(2,-5) and P2=(4,-2). As the coordinates of a point are…

Q: Find the distance from the point (1, −3, 6) to the x-axis.

A:

Q: . Plot each pair of points and compute the distance between them:(a) (1, 4) and (3, 2) (b) (2, 1)…

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

Q: 2.Express the equation in standard form and indicate the center and radius, if a circle exists. a.…

A: Part a,Given,            x2+y2-10x-14y-7=0We know that,          The general equation of the circle…

Q: Find the rectangular coordinate of r -6rsin0.

A:

Q: Draw the circle (x+2)2+ (y-1)2=4

A: Given: (x+2)2+(y-1)2=4         ......(1)

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Find the distance between the following two points: (10, 1) and (9, -4)

A: Given Find distance between (10,1) and (9,-4)

Q: Q2. What is the equation of the circle whose center is (3,4) and tangent with (x-axis)

A: 2. Equation of circle with center at (a, b) and radius r is as follows. (x-a)2+(y-b)2=r2. Center of…

Q: Plot the points in the city circle with center  (−3, −4)  and radius r = 2 blocks.

A: To Plot the points in the city circle with center  (−3, −4)  and radius r = 2 blocks.

Q: 10. Given: X is the midpoint of AG and NR Prove: AANX = AGRX 1. X is the midpt. of AG & NR 2. NX =…

A: Consider the figure

Q: Evaluate (x+ y)ds, where C is the top half of the circle x² + y² = 4, oriented counterclockwise.

A:

Q: Find the distance from the point (4, 9) to the line y = 2x.

A:

Q: which is the center of a circle x2 + y2  = 9?

A: given, Equation of a circle is x2 + y2 =9

Q: Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

A: By using formula of area of triangle and basic geometry. Area of right angle triangle = 1/2(B×H)

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…