1 7. Sketch the curve showing clearly the asymptote(s), the turning point(s) and (x-2)(x+3) intercept(s) with the coordinates axis.

Q: 1 2 #5) A) Find the length of a curve y Inx for 3 < x < 7. 4

A: L= integration of sqrt of 1+ (dy/dx)2 dx from a to b

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

A:

Q: 7-18 - Find the exact length of the curve. 7. y = 1 + 6x³/², 0 < x < 1

A: We find y' using the power rule

Q: 7. Find the exact length of the curve: y = 1 + 6x³/², 0 < x < 1.

A: The length of the curve is calculated from the graph.

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)2 = 4(x- 5), (9, 7) %3D…

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Q: Find the points on the curve xy2 = 54 nearest the origin.

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Q: 6. Find the point on the curve y = yx that is closest to the point (3, 0)

A: let P is the closest point then say (x,y) then find the distance from the point (3,0)  then minimize…

Q: 2.1 Identify and sketch the graph of y = /9 – 4x². Show all the necessary points on the curve and…

A: We can square the left-hand side and right-hand side then we get y2 = 9-4x2

Q: What is the length of the latus rectum of the curve x2=-12

A: Answer

Q: c. What is the maximum or minimum point for the curve y = -3x2 - 12x + 5?

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Q: a) [ i) Find the exact length of the curve y = x³ + 12x 1≤x≤2

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Q: The horizontal asymptotes of the curve 3x y = (x4 + 1)'/4 are given by %3D Y1 = and Y2 = where y1 >…

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Q: Find the x- coordinate of the inflection point(s) of the | .2* curve y = -7xr'+ 4x +10.

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Q: Find the points on the curve x2 + xy + y2 = 16 which are nearest and farthest from the origin.

A: Given curve is g: x2+xy+y2=16 If x,y is any point on the curve g: x2+xy+y2=16 Then square of the…

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)² = = y = 1 4(x - 5),…

A: The given equation is; (y-3)2=4(x-5), (6,5).

Q: 2. Find the slope of parabola y = ²+3 at any point on the curve.

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 2(x2+y2)2=25(x2-y2) Verify (algebraically) that the following points are on the curve: (3, 1)

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Q: Q1. Find the length of the of the curve y -x2 X2 from x = 0 to x = 3.

A: Given curve is, y=13x32-x12 To find the length of the curve from x = 0 to x = 3

Q: Find the exact length of the curve.   y2 = 4(x + 4)3 , 0 ≤ x≤ 2 , y&gt; 0

A: Given: y2=4x+43,0≤x≤2,y&gt;0 To Find: Find the Exact length of the curve. Concept: Length of the…

Q: 1 - Sketch the curve : y=-(x3– 6x²+9x+6). 6 y=Lcx³-

A:

Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: 1. Consider the implicitly defined curve Py- 2r = 25. (a) Verify that the point (1,3) is on the…

A: Given,          x2y3-2x4=25

Q: 6. Find the member of the curve whose slope at any point is √y and passes through the point (2, 1)

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Q: Find the asymptotes of the curve y3+x2y+2xy2-y+1=0.

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Q: Find constants a and b so that the minimum for the parabola f(x) = x2 + ax + b Occurs at the point…

A: The given parabola is : f(x)=x2+ax+b We need to find the values of a and b so that the minimum for…

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

A: We have to solve the problem

Q: Problem 4.10 Find the slant asymptote of 2x3 – 5x2 + 3x y = x2 – x – 2 and sketch the curve.

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Q: After Identifying and sketching the curve for x2+25y2-4x+100y + 4 = 0, partimize the curve

A: Given: x2+25y2-4x+100y+4=0 To Find: i. Identify and sketch the curve.ii. Parametrize the curve.

Q: Q2\Find the point at which the tangent to the curve y = v4x2 + 1-2 has its slop 2

A: Given: y=4x2+1-2 Slope = 2 We know that slope of tangent to a curve y is defined as dydx

Q: Prove that the curves y2 = 4x and y2-6x+1 = 0 touch each other at the point (1,2)

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Q: x2 Sketch the curve of y %3D (х-2)(х-6)

A: According to question,Given function,y = x2x-2x-6

Q: -Obtain the Cartesian equation of the curve by eliminating the parameter. 14) x = t - 3, y = t2 + 5…

A: To obtain the Cartesian equation of the given curve.

Q: Prove that the curves y2 = 4x and x2+ y2-6x+1 = 0 touch each other at the point (1,2)

A:

Q: 1. Trace the curve whose equation is x* – x' y = -7x² + x+6 х* + 3х-10 Identify the following a.…

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Q: Find the horizontal and vertical asymptotes of the curve. 2ex y = ex – 6

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Q: 1. Consider the curve defined by 9x2 – 16 y² +36x + 96y– 252 = 0. a) Write the equation of the curve…

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Q: х2—4 Use the guidelines for sketching the curve f (x) = ln х2-3х-4.

A: please see the next step for solution

Q: Find the points where the graph of 2y-x+4x-6y+1=0 has horizontal or vertical tangents.

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Q: 3) What is the horizontal and vertical asymptote line? a) x =y b) x = 0, y = 2 c) x = -1, y = 2 d) x…

A: From the given function, we have to find its vertical and horizontal asymptote

Q: 7. Find the member of the curve whose slope at any point is 2e¹x and passes through the point (0, 1)

A:

Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: 11. The maximum point of the curve * y =r' - 3r° + 4 is at

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

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Q: 3. Find the length of the curve y =- 6. 1 from x=2 to x=3 2x

A:

Q: 1. Let P(x1, Y1) be a point on the parabola x?: be the angle between the parabola and the line…

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Q: 5. The coordinates of the vertex of the curve y = 1- 2x - 4x² are: A. G ) B. (- 5 ) €(- ) D.(- -) 1…

A: Hi, for question 6 repost

Q: 3 On a separate piece of paper, sketch the graph of the parabola f(x) = x² + 6. axes, plot the point…

A: Given

Q: Find all asymptotes of the curve x2 + 3xy + 2y2 + 3x – 2y + 1 = 0 ?

A:

Q: Consider y = x2+3 /3e4x^2. Find the value of x at which this curve has a stationary point

A: Consider the given function.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.