3:1. l'he eqtations ofthe.asymptotes.ail the graph.af * - .2 the curve y = are A x = 1.x = -3.y = 1 3 * = -1 ,x = 3 ,y = it) e x = 1,x = 3.y =:0 ID x= 1,x=3.y=1

Q: Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d₂ pass through (-1, -1) and have at…

A: To Determine: Value of a, b, c and d so that curve y = a x3 + b x2 + cx + d

Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

A:

Q: Find the x Coordinate of the point on the graph of 4=x² where the to the Secant. Longent tine.…

A:

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

A:

Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: At what point on the curve y =[In (x +4)]2 is the tangenthorizontal?

A:

Q: Find the point Q that is on the curve nearest %3D the point (4, 1)

A:

Q: 3.4/p.170 40 Find the point on The *< where Curve y tanx. the tangent is parallel to twe line y= 2x.

A:

Q: If tanh x = 12/13  find the values of the other hyperbolic functions at x

A:

Q: 1. Find the equation of tangents to the circle x² + y² = 9 with slope 1.

A:

Q: Q3 Find dyldx on the graph y secx + y = cos2x at point (1, 2).

A: We have to find the derivative of above function at (1,2) Please see the explanation below

Q: The tangent of the curve x^2+y^2--7 * 2xy3DO at the point (1,1), is a. y-2-х. О b. y=x-2. O С.…

A:

Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: The point on the curve y=vx+2 which is closest to the point (5,2) is

A:

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 all points on the graph of 3x 2 + 4 y 2 + 3xy = 24 where the tangent line is horizontal

A: Given:              3x2+4y2+3xy=24 We know the tangent line is horizontal when y'=0 So we want to…

Q: 2. Find the equation of the horizontal asympto

A:

Q: Find the exact length of the curve y3 = 22 from (-1,1) to (8, 4).

A: Use formula of length of curve

Q: , If the curves yı = -x² + ax +b and y2 x² + cx - 2 have the common tangent line at the point P(1,2)…

A: Given information: There are two equations  are y1=-x2+ax+b, y2=x2+cx-2 have a common tangent line…

Q: 2 2 18. At how many points on the curve + yš =1 in the TY-plane does the curve have a tangent line…

A:

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

A:

Q: Find the tangent line to the Witch of Agnesi (graphed here) at the point (2, 1). 8 y + 4 (2, 1) 1 2…

A:

Q: Find an equation for the tangent line to the curve y = 4 at the point (3,16). X - 1 Oy - 16 = -3(x -…

A:

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

A:

Q: In(2-y Fnd tme Slope of the curve af (0,1) and the tue curve equetion of tue tangent at (0.1) in the…

A: NOTE: Refresh your page if you can't see any equations.                 . take derivative

Q: The Gateway Arch in St. Louis was designed by Eero Saarinen and was constructed using the equation…

A:

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

A:

Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?

A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.

Q: Find the arc length of the graph of the functionf(x) =x^3/2 fromx= 0 tox= 4.

A: Given,        The arc length of the graph of the function fx=x32 from x=0 to x=4.We know that,…

Q: 7.) Find the shortest distance between (4,2) and the curve y? = 8x.

A:

Q: Find the slope of the tangent to the curve r+ 2xy + y = 16 at (1, 3). The slope is VEnter undof if…

A:

Q: Find the length of the arc of the parabola y²=4x from the vertex to a point where x=4.

A:

Q: a) Calculate the length of the curve defined by x = -3 )on the interval 1 sys9.

A: (a) Given that, x = 13 y (y-3) on the interval 1 ≤ y ≤ 9   We have to calculate the length of the…

Q: The tangent to the circle x2 +y2 +10 x+5 y= 60 at the point (2 ,4) is Select one: O None O 13 y +…

A: Given that:x2+y2+10x+5y=60

Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

A:

Q: 3/2 The length of the curve x= 4y2 from y=1 to y= 4 is given by

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: If the fGD@ of the instantaveous rate of Chnange of (2,-6)isy tie tangent to bet x wriTre re ef…

A:

Q: 4. Find the point(s) on the graph of (x – 1)²+ (y +3)² = 16 where the tangents are horizontal.

A:

Q: Oy= 7x +2 QUESTION 4 For the curve y ax+ bx + 12x - 7, what values of a and b will make the tangents…

A: We have to solve the problem

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: The horizontal asymptotes of the curve 12x y = (zª + 1)'/ are given by Y1 = and Y2 = where yı > Y2-

A: Asymptotes are the tangents where the function tends to meet at the extremities of the x and y axes

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: Find equations of both tangent lines to the graph of the ellipse x2/4 + y2/9 = 1 that pass through…

A: We have given equation of curve x24+y29=1 and point 4,0 We will find slope of tangent at any point…

Q: I need to solve this question

A:

Q: 3) Find the exact length of the curve y = x² – In x for 1< x < 2. 1„2

A:

Q: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

Q: 2 Consider the curve given by f(x)=x²³x + 5 find the equation to the tanget to the curve at point…

A: We know that a line which touches the curve fx at one and only one point is called a tangent line.…

Q: 10. At what point on the parabola y = 3x² + 2x is the tangent line parallel to the line 10x – 2? y

A: Given,          The parabola y=3x2+2x is the tangent line parallel to the line y=10x-2.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.