Q/ Find the angle between two curves: 3 y = ==- x? , y = x? 2

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

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Q: Find the length of the curve. x = 4, y = 3/2, 0 st 0st <9 242 61 2

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Q: lating linear velocity v and angular velocity w for a circle of radius r is

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Q: Sketch the curve (2² + y*)³ = 4.x²y? 2.2

A: To sketch the graph of:(x2+y2)3=4x2y2

Q: 9. Find the angles at which the curve y =x - x intersects the x-axis.

A: Given: The curve y=x3-x intersects the x-axis

Q: Find the length of the curve. 33 X = x=11t°, y= ², t,0stsv3

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Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

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Q: Determine the arc lenght of the curve 9x2 = 4(y² – 1)³for 1 <y<2.

A: This question is related to calculus.

Q: Find the exact length of the curve. x = et – t, y = 4et/2, 0st < 5

A: Find the length of curve:

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

A: Given the curve x=g(y). We need to explain the steps required to find the length of a curve between…

Q: A ski run follows the curve of y = 0.01x - 0.6x + 9 from x = 0 m to x = 30 m What is the angle…

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second,…

A: The rate of flying is 4 ft/sec. The toal time is 1.5 minutes, i.e. 90 second. The distance covered…

Q: Which projection of (cost, cos 2t,sin t) is a circle?

A: Which projection of (cost, cos 2t,sin t) is a circle?

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second…

A: Given that, a man flying in a hot air balloons in a straight line with constant rate 5 feet per…

Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: At what points will the line y = x intersect the unit circle x2 + y2 = 1? (x, y) = (smaller x-value)…

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Q: The distance from a point (2, y) to a line x – 2y + 3 = 0 equal to v5. Find the value of

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Q: Find the angle of inclination of the line y-x 1

A: As per the company guidelines we are supposed to solve first question only. Kindly post the other…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A: Given :  A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per…

Q: at what point do the line intersect on the unit circle

A: The given line is,

Q: Find the exact length of the curve. x = 6 + 3t?, y = 2 + 2t3, 0 sts 5

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Q: The temperature at the point (x, y) on a metal plate is x² + y? " Find the direction of greatest…

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 5 feet per second,…

A: Given that, a man flying in a hot air balloons in a straight line with constant rate 5 feet per…

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: Find the exact length of the curve.y = 9 + 1/7 cosh(7x),  0 ≤ x ≤ 6

A: Given that: To find: Exact length of the curve

Q: Find the exact length of the curve. y = 9 +  1 7  cosh(7x),  0 ≤ x ≤ 6

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Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: Find the length of the curve 24ry = y' + 48, 2 <y<4 Select one:

A: We have to find the length of the given curve   the given curve is 2xy=y4+48the given interval…

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 7 feet per second,…

A:

Q: Find the exact length of the curve.42. x = et − t, y = 4et/2 , 0 ≤ t ≤ 2

A: Given eqn : x=et-t,  y=4et/2 ,  0≤t≤2 So, we use dxdt=et-1,  dydt=2et2   Length of the curve =…

Q: 1. Find the length of the curve 4Y, 1<Y<2 8

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Q: Find the distance from the origin to the point (x, y).

A: Distance between Ax1, y1 and Bx2, y2 is, AB=x2-x12+y2-y12

Q: Find the angle between the curve 2y=e-x/2 and y-axis

A: we will see in next step

Q: Find the length of the curve. x = (v - 1) 3/2 from y = 16 to y = 25 O 4 61 O IK

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Q: Find the exact length of the curve. 1 Vy (v - 3), 4 < y< 16 3 X =

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

A: We find dx/dt and dy/dt

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

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Q: Find the curve length 1 +2)?,0< y < 4 %3D 3

A: Given that, the function is x=13y2+232 and the interval is 0,4. Note that, the arc length of the…

Q: Find the angle between the curve 2y = e – x/2 and y – axis

A: Given the curve 2y =e^(-x/2) and y-axis We have find angle between curve and y-axis

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

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Q: A ski run follows the curve of y = 0.01xf-0.8x + 16 from x=0 m to xE 40 m What is the angle between…

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Q: Find the angle of inclination of the line y -x = 1

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Q: which sketch is a cross-section in the x-direction (L to the y-axis)? Why?

A: Given are three graphs. We need to find out which one is a cross section in x-direction. The…

Q: Find the length of the curve x = et - t, y = 4et/2, -8 ≤ t ≤ 3.

A: Consider the following: Given parametric equations are: x=et−ty=4et2−8≤t≤3

Q: which sketch is a cross-section in the y-direction (L to the x-axis)? Why?

A: Given: Let us determine the cross-section in the y-direction perpendicular to the x-axis.…

Q: Evaluate the length of the curve y = 2 + Vx , 3 < y< 4

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Q: Find the angle of intersection between the curves y = x- +1 and y = x+x-

A: y = x2 + 1,y = x+ x-1Points of Intersection;x2 + 1 = x+1xx(x2+1) =(x2+1)x = 1y = 2point of…

Q: What is y = _ + x3 1 curve x = 1 and x = 2 the length of the part 12 х between the abscissa points?

A: We find dy/dx using the power rule

Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: 23/ Find the angle between two curves: 3 y = 2 - x² , y = x²

A: The angle between two curves is given by the formula tan θ=f2'x0-f1'x01+f1'x0f2'x0 Given,…

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.