Find the equation of the circle of radius 3 with its center at the origin. 35. [A] x² +y² = 9 [B] x² + y² = 6 [C] 6 [D] x² + y² = 3 6.

Q: Find the exact length of the curve. y = 4 + 2x3/2, 0 < x < 1

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Q: 2a? + 2y? + 8x + 4y + 8 = 0 is the equation of a circle with center (h, k) and radius r for: h and k…

A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

Q: Find the exact length of the curve. x = et - 4t, y = 8et/2, 0≤t≤2

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Q: Q2/ Find the equation of the circle tangent to the lines, y= -2x+3, y 2x+7, and y

A: Answer

Q: 2.4. What is the center and the radius of a circle given by the equation x² + y² + 4x – 10y + 20 =…

A:

Q: For what values of a and b is the line 5x + y = b tangent to the parabola y = ax? when x = 4?

A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From…

Q: Find the length of the arc of the curve 9y? 4x3 from the origin to the point (3,2v3).

A: Here, the given curve is: 9y2=4x3⇒y2=4x39⇒y=23x32 Now, the length of the curve on [a,b] is given by:…

Q: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

A: Using general equation of circle

Q: Find the exact length of the curve. x = 9 + 6t2, y = 4 + 4t3,

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Q: Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

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Q: The center of a circle lies on the line y =6x + 2 and is tangent to the x-axis at (-2,0). What is…

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Q: Find the exact length of the curve. y = 4 + 6x3/2, 0 < x < 1

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Q: 2+y 4x + 2y +1 = 0 is the equation of a circle with center (h, k) and radius r for: h = and k = and…

A: We use completing square method to convert it into standard equation of circle  Standard equation of…

Q: 7. The radius of the circle whose equation x + 6x + y – 6y – 7 = 0 is

A: Your answer Radius =5

Q: Find the exact length of the curve. y=3+8x3/2, 0 less than or equal to X less than or equal to 1.

A:

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

A: Given: y=5+8x32,   0≤x≤1

Q: solve for the point on the graph y=√3x+ 2 that is closest to (3,0). What is the minimal distance…

A:

Q: Find the exact length of the curve. y = 5 + 2x³/2, 0< x < 1

A: Given: y=fx=5+2x32, 0≤x≤1 we know that lengthL of curve in interval a,b is given by L=∫ab1+f'x2dx…

Q: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: Find the exact length of the curve.y = 4 + 2x3/2, 0 ≤ x ≤ 1

A: Please see the white board for the formua to calculate the length, L of the curve y = f(x), over the…

Q: d the exact length of the curve. y = 1 + 8x3/2, Osxs1

A:

Q: 7. For whit value of b will the line y =- y 3x +4x -1? 2x+ b be tangent to the parabola

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Q: Explain the steps required to find the length of a curve x = g1y2 between y = c and y = d.

A: It is given that x=gx for c≤y≤d.

Q: 5. Calculate the equation of a circle which is centered at the point of intersection of the lines x…

A: Topic = Circle

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9

A:

Q: Q2/ Find the equation of the circle tangent to the lines, y -2x+3, y = - 2x+7, y=+ and y =+

A: In the above question we have to find the equation of the circle at the tangents -  y= -2x+3 ; y =…

Q: I have taken the integral of A, and I'm towards the end of finding B but I'm confused on how I use…

A:

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

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: 3a? + 3y? – 18z – 24y + 48 = 0 is the equation of a circle with center (h, k) and radius r for: h…

A:

Q: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: Q2/ Find the equation of the circle tangent to the lines, y =-2x+3, y = - 2x+7, y-+늘and y- +글 %3D…

A: The lines given by y=-2x+3 and y=-2x+7 will be parallel to each other as they have the same slope m.…

Q: Find the exact length of this curve : to y= 16 2x² |<x<2

A:

Q: Find the exact length of the curve. y = 3 + 8x3/2, 0<x<1

A:

Q: Find the exact length of the curve. 36y2 = (x² – 4)3, 2 < x < 9,

A: Given:  36y2 = (x2 - 4)3 , 2≤x≤9,y &gt;= 0

Q: Find the exact length of the curve. y = 5 + 8x/2, 0<x<1

A: Topic = application of derivatives

Q: 3. Find the equation of a circle with center at (2, 3) and tangent to the line 3x – 5y = 8. а. 2х2 +…

A:

Q: Find the length of the arc of the curve 9y? = 4x3 from the origin to the point (3,2V3).

A:

Q: 5) Write the equation of the circle with radius 3 and center (1, -7). a) O (r+1)+(v-7)²-9 b)…

A: Solve for the equation of the circle

Q: 4. Find the equation of a circle with center at (4, -3) and is tangent to the line 4x-5y 20. %3D y.

A: Explanation of the answer is as follows

Q: Q2) Find the distance between the line y= - (x+2) & the center of the circle y+x-4(x+ y)= 9…

A:

Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: How far from the x-axis is the center of the curve 2x2 – 2y2 + 10x – 6y – 55 = 0?

A: The given equation of the curve is: 2x2 – 2y2 + 10x – 6y – 55 = 0 This can be written as:

Q: 2 Determine the length of the curve = = t³, y: 31² 2,0 ≤t≤ √3.

A:

Q: Q1/ Find the equation of the circle tangent at least to three lines (y= 1, y= 5, x= 2 and x=7). 40%

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Q: ive the center and radius of the circle. - 5)2 + y2 = 16 D (-5,0) r = 4 D (-5,0) r = 4 D (5,0) r = 4…

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Q: 2. Find the equation of the tangent to the circle x2 + y2 +4x +16y - 32 = 0 through (4, 0).

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Q: 8. Find the equation of the circle with center (-9, -3) and tangent to the x- axis.

A: