A. X= 3 3. if 3 + 8x – x² = p then A. p<13 4. if 2x2 + px + 1 2 D. 34 - %トる-8=0 Ep<19 B. p>-19 D. p< 5 17 then p 18 A. +5 В. -5 C. 5 D.V42 of the curve v = 1- 2x - 4xX“ are:

Q: Find the length of the given curve. 4/3 3y2/3 X = -27 - 32

A: The arc length formula is L=∫ab1+f 'y2dy. Here, 3y43-3·y2332' =-1+64y2316y13. Thus, the length of…

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

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A:

Q: Find the exact length of the curve.10. 36y 2 = (x2 – 4)3, 2 ≤ x ≤ 3, y ≥ 0

A: Given :                36 y2  =  ( x2 - 4)3  To find :                  The exact length of the…

Q: Find the shortest distance from the point x = (-3, 0, -12)  to the line r = t(0, -2, -2).

A:

Q: Suppose a curve is defined by the equation 16(x + y) = 45. Show that if you translate the curve to…

A: A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and…

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

A:

Q: Describe the curve generated by x = 3 + 2t, y = -12 - 6t, for - ∞ &lt; t &lt; ∞.

A: Given: x=3+2t y=-12-6t            - ∞ &lt; t &lt; ∞ To find: curve generated by given functions.

Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate the curve to…

A: Use the shifting properties of a curve and form the new equation.

Q: Find the length of curve: y=(3/4)x^(4/3) - (3/8)x^(2/3) + 7 for 1 <= x <= 27

A:

Q: Find the length of the curve x = 5-t, for 1 < t < 2. length = y = 3-t, z = 3t 5,

A:

Q: Find the length (in units) of the curve y =    16 − x2between x = 0 and x = 2.

A:

Q: Find the exact length of the curve. 1 y = 4 -x² - In(x), 1< x < 8 2

A:

Q: Find the exact length of the curve. 36y2 = (x2 – 4)³, 4 < x < 9, y 2 0

A: Given:

Q: For the curve y = ax + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A: we have to solve the problem

Q: Find the exact lengthy curve x=y4/4 + 1/8y2, where 1 is less than or equal too y is less then or…

A: The formula is L = ∫ab 1 + dxdy2dy

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

A:

Q: Choose only  5-What is the maximum or minimum point for the curve y = x2 − 4 ? A) A minimum at (0,…

A: Given:- 5.  y=x2 -4  6. y = 4x-x4  To find:- Maximum or minimum value of given function

Q: Find the length of the curve. y=1/6(x^2+4)^3/2, 0 less than or equal to x less than or equal to 2

A: Find dy/dx of the given function

Q: 2 =(x² - 1)³/²,1 ≤ x ≤ 3

A:

Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that…

Q: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

A: We have to solve the problem

Q: Find the length of the curve.  y = (9 - x^2/3)^3/2 from x = 1 to x = 27

A:

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

A:

Q: 4. Find the exact length of the curve. 36y2=(x²-4)3,2≤x≤3.y≥1

A:

Q: Two stations, located at M(1.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound…

A:

Q: For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: Find the length of the curve defined by from = 9 to z = 10. 2 y-4lm (()²-1) =

A: find derivative

Q: The shortest distance from the point (5, 10) to the curve x2 = 12y is: A) 4.331 в) 3.474 5.127 (D)…

A:

Q: Find the exact length of the curve x=y4/4 + 1/8y2 where 1 is less than or equal too y is less than…

A: Given that           x = y4/4  + 1/8y2 , 1&lt;= y &lt;= 2 Here we have to find the exact length of…

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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Q: A farmer calls in from his home 12.5 km from the eruption site to report that 15.5 mm of ash fell on…

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Q: Find the length of the curve y=7x-13 between y=-6 and y=15.

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

A:

Q: Find the length of the curve defined by y = 4x3/2 + 11 from x = 2 to x = 8.

A: We will differentiate the function and use the arc length formula.

Q: 4 - Which of the following is the shortest distance from the point (5, 0) to the curve y = V2x ? 7…

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Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

A:

Q: 5. Find the length of the curve = = = (1 ²+2) X=- 3 9 0≤ y ≤ 4

A:

Q: For the curve y = ax3 + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: For the curve y = ax³ + bx2 + 12x - 7, what values of a and b will make the tangents to the curve at…

A:

Q: i) Find the exact length of the curve x5 1 15 4x3 y= + 1 < x < 2,

A:

Q: 1 + 12 8x*' - Find the length of the curve y= 1<x<2. 4

A: y=x612+18x4 Differentiate the  above equation dydx=ddxx612+18x4dydx=x52-121x5

Q: Find the length of the curve Y = 4x^3/2 from x = 0 to x = 5/16

A:

Q: 6 - Find the length of the curve y = (x)7 from the x = 0 to x = 4. a) O 8/27(10^(3/2)+2) b) O…

A: .

Q: Suppose a curve is defined by the equation 16(x² + y²) = 45. Show that if you translate 3 the curve…

A:

Q: IFind the exact length of the curve x= 3t -t, y=3t² ,0<t<2 ||

A: We have to find the exact length of the curve. The length of the curve is given by

Q: What are the coordinates of the points in the graph of y-x²+6x – 13=0 in which the tangent line is…

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

Q: Find the exact length of the curve. X=1/3sqrt(y)(y-3), 9 less than or equal to Y less than or equal…

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Q: Evaluate the length of the curve y = 3 + 3Vx +1 , 0<x< 3

A: