33. Which of the following graphs match the curve described below? • The curve opens upward. One of the z-intercepts is located at (-6, 0). • The y-intercept is located at (0, 3). -10 -10

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…

Q: 1 ) Find the equation of the curve for which   y” =  6x – 4 and which passes through (1,2) and (-2…

A:

Q: Find the exact length of the curve. x- 2, y=? - 2, Osts 6

A:

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

A: we have to translate the curve.

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

A:

Q: The curve-4x - 3y3-7x + 5y = 2 is shown in the graph below in blue. Use the graph below to draw line…

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Q: Determine the nature of the turning points for the curve y = x^5 − 5x^4 + 5x^3 − 1.

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y= 3x-5x³ + 4 8. Y (2x-…

A: Given function is y=3x5-5x3+4 Given function is polynomial function Domain: The set of all real…

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: Figure out formulas for three level curves with levels 0, , 2 respectively. y = 0, 2y² x? = 1, 2y? +…

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Q: The x coordinate of the point of intersection between the two curves y = el4a and y = 1 is

A: Equate both equation

Q: The a coordinate of the point of intersection between the two curves y = ellz and y= 1 is x =

A:

Q: Find the length of the curve with equation x2 (y + 1)3 from the point where æ = 0 to the point where…

A: Since the given curve is  x2=y+13      from point x=0 to x=33. Given curve can be written as x=y+132…

Q: 9. Find the point of intersection of the two curves, * y = 2r-1 y = x-2r O(-) none of these

A: To find out the point of intersection of curves.

Q: Find the points on the curve y = 14x closest to the point (0, 1). and

A: This question is based on application of Derivative.

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: Find the values of a and b for the curve x2y +ay? -b if the point (2, 2) is on its graph and the…

A: Given x2y+ay2=b

Q: Find the length of the curve X= -y², 1≤ y ≤9

A:

Q: I Discuss the properties of the curve and sketch fully: a) y = x? e-x

A: (a) Given- y=x2e-x To Find- The properties of the curve and sketch the curve.

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

A: Given, The curve  y=ax3+bx2+12x-7 We have to find the value of a  and b such that tangent to the…

Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

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

A: find derivative

Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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Q: Q find as X mP totes $ the fallowing curves then graph them X-1

A:

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

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Q: Find the length of the curve y x7 from ¤ = 0 to x = 15. 2/3

A:

Q: 19. For what values of the constants a and b is (1, 3) a point of inflection of the curve y = ax³ +…

A: Consider the value of y and solve:

Q: 5) Find the lengths of the following curves:- 1. y = x 8 from (0,0) to (4,8) -(1010 – 1 )) 27 (ans.…

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

A:

Q: 4. Find the are length of the curve from y=1 to y-4

A: The given curve is x=18y4+14y-2 from y=1 to y=4

Q: I Discuss the properties of the curve and sketch fully: a) y = x² e-x

A:

Q: Find the exact length of the curve. y = = 0 < x < 6

A:

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

A: Topic = application of derivatives

Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

A:

Q: 2. Find the slope of the curve y 3x +1 at the point (-0). Draw the graph of the curve. KIVERSIT TLOU

A: Solution:Giveny2=3x+1  at -13,0To find Slope of the curve and Draw a graph of the…

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

A:

Q: Determine whether the curve is the graph of a function of x

A: Definition: A relation f from set A to set B is called a function if every element of A has one and…

Q: 15.)) What is the slope of the line tangent to the curve y +2 = - 2sin y at the point (2, 0)? 2 (A)…

A:

Q: Find the exact length of the curve. y ‹ = ²(1 + x²j³/2₁ 3/2, 0≤x≤ 5

A: The objective of the question is determine the length of the given curve.

Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for…

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Q: 9. What is the slope of the curve at the given point? 5x? + 2xy – y = -3 at (,2)

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Q: 6. Graph the line with the equation y= jx+ 1.

A:

Q: Find the exact length of the curve. y = (2/3)(1 + x2)3⁄2,      0 ≤ x ≤ 2

A: Given: - The curve is, y=23(1+x2)32,  over the interval, 0≤x≤2 To find: - The exact length of the…

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

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: The length of the curve 4/2 3 y = xi - 1,0 < x < 1 is .

A: Given,            The length of the curve y=423x32-1 , 0≤x≤1 is 136.To find : Check whether the…

Q: a) y = x? e-X

A: We have to discuss properties of the graph

Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.