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

Q: a particle moves along a curve y = (2x² + 5x)°, calculatey (0) and what is the interpretation of the…

A: Let us considre the function y=f(x) The derivative the function is denoted as dydx=f'(x) Derivative…

Q: Determine the angle between the curves 2x=y2 and x2+y2-5x=0

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Q: Find the acute angle between the curves y = (/3)x3, and y = (/3)/5 x at the point of intersection…

A: The given curves are y=3 x3 and y=35x=15x and the point of intersection of the two curves are P1, 3.…

Q: calculate the length of the curve y=2cosh (x/2) for 0 < x < 2

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Q: I Find the acute angle between the two curves xy = 3 and x2 = 9y

A: Given data: First curve xy=3. Second curve x2=9y.

Q: Find the length of the curve :   x=(y^3/2)/3-y^1/2 from y=1 to y=9

A: The given curve is: x=13y32-y12        from  y=1  to  y=9

Q: Find length of curve: y=3x^(3/2) from x=0 to x=4

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Q: Find the length of the curve 36y2 = (x — 4)3 , 2 ≤ y ≤ 3, y ≥ 0.

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Q: What is the angle between the curves y = x2 and y = x4 at their point of intersection?

A: We have find the angle between the curves y = x2 and y = x4 at their point of intersection we have,…

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

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Q: Find the curve length 0 +2),0<ys4 0 < y

A: 76/3

Q: Find length of curve: x= (y^(3/2) / 3 ) - y^(1/2) from y=5 to y=11

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Q: 4. y = x2--Inx x = 1 ve x = e

A: Topic- application of derivatives to find angle between curves

Q: Find the exact length of the curve.   36y2 = (x2 − 4)3,    5 ≤ x ≤ 6,    y ≥ 0

A: NOTE: Refresh your page if you can't see any equations. . but here

Q: y=csinx  Identify the curves that intersect the curves under a right angle.

A: Given- y = c sinx To find- Identify the curves that intersect the curves under a right angle.

Q: What is the ALGEBRAIC RULE for REFLECTION over the line y = x? (х, у) —

A: This question is related to reflection of coordinates, We will solve it using given information.

Q: Find the points where the line y=x4 intersects a circle of radius 2 centered at the origin. Give…

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Q: Find the length of the curve. ¹) x = ¹ y 3/2 - y 1/2 from x = 1/2 from 4) 3 5) x x= 16 to x = 25 =…

A: If a function y=f(x) is defined on interval [a,b] the length of the curve is given as - Length (L)=…

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: b) Find the shaded area of diagram that shecked by curve y =x² + 2x and the line y

A: The area between curves y=f(x) and y=g(x) on an interval [a, b] where f(x)≥g(x) on the interval is…

Q: y = 4 1 ,2 In x, 1<x < 2 2 -

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Q: Find thepoints on the curve y = 2x3 - 3x2 - 12x + 20 where thetangent line is perpendicular to the…

A: Given: The curve is y = 2x3 - 3x2 - 12x + 20 and the tangent line is perpendicular to the line y =…

Q: Find the curve length +3 + 6. 1 y = 1< x< 2 2x

A: Using formula of length of arc we can calculate.

Q: The projectile is thrown at the angle of 45 degrees with the initial velocity of 1 meter per second.…

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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. 1 y = 3+ cosh 2x, 0<1<1 2

A: we need to evaluate the Length of curve where  0 ≤ x ≤ 1

Q: Find the are length of the curve x = (y² + 2)/2 from y-0 to y=1

A: First, calculate dxdy for the equation, x=13(y2+2)32  . Then, use the formula, L=∫ab1+dxdy2 dy to…

Q: Compute the length of the curve x = 2y3 + 1/(24y) from y = 1 to y = 3.

A: Given: x=2y3+124y1≤y≤3

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0…

Q: 9y? = 4x3 from the origin to the point (4, %3D 144. Identify the length of the curve

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

A: we will see in next step

Q: 36y2 = (x2 − 4)3,    2 ≤ x ≤ 6,    y ≥ 0

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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: 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 length of curve: x= (y^6 / 6) + (1 / 16y^4)  from y=1 to y=2

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Q: 03) (Answer only two ): 4- Find the distance between the curve ( y=x+4) & line 0=x-4)

A: According to our guideline we can't solve multiple questions. so please repost the question…

Q: Find the length of the curve. y = In(secx), 0Sx</4

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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 curve length 1 X = 3 0² + 2) ?',0 < y < 4

A: In this problem, curve length of the given curve is to be determined

Q: Find the distance between the point (1,1) and (3,9) along the curve y=x2

A: Given:The points (1,1) and (3,9) along the curve y=x2To find the distance we need use calculus as…

Q: Determine the length of the latus rectum of the curve y² = 8x

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Q: Sketch the curve and find the axis. y = Sinx; [0,] 2

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

Q: Locate the points of inflection of the curve 4 ƒ (x) = x²e* -2+ V3 2+ V3 Option 1 Option 2 -2+ v2…

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Q: Find the tangent lines to curve x² + 2y2 = 9 that is perpendicular to line 4x – y = 6? %3D

A: Given the equation of line is 4x-y=6.   Rewrite the equation in slope intercept form. y=4x-6   Thus,…

Q: find the acute angles between the curves y=6x6-17x5-33x4-28x3 and y=95x2+79x+90 at their points of…

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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: Find the equation of the line that is normal to the curve (y-x)2 = 2x + 4 at (6,2). %3D

A: Use equation of normal line

Q: Find the acute angle between the curves y = x2− 2x and y = ex − 1 at the point (0, 0).

A: To find the acute angle between the curves y=x2-2x and y=ex-1 at the point (0, 0)

Q: Find the rate of change f(x, y) = In(4x² + 4y²) at (/2, /2) in the direction making a (positive)…

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