7. The graph of y= f(x) is given. Match cach equation with its graph. a) y f(x -4) 6- b) y= f()+3 f(x) 3 c) y = f(r + 6) 0. 6. d) y =-f(2x)

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

A:

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

Q: 7. An equation of the line tangent to the graph of ƒ at the point (2, 7)is y = 4x - 1. Find ƒ(2) and…

A: Given function is fxequation of the tangent line y=4x-1tangent of the graph 'f'=dfdx=y=4x-1  ∴…

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: 1. Find the length of the curve y = 3 xi - () x , from x = 1 to x = 4.

A:

Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

A:

Q: The curve y=ax^2+bx+c passes through the point (1,9) and is tangent to the line y=3x at the origin.…

A:

Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

A:

Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…

A:

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: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: 1. Find the length of the curve: y = x/2 , x = 0 to x = 4

A:

Q: Sketch the graph of y = m(r) in Figure 2. %3D 음-3, rS-1 m(x) = 4 %3D 1<r<5

A: Given,          mx=13x-3x≤-141&lt;x&lt;5

Q: 9. Find the point (x, y) on the line y = 2x + 3 such that the distance from (x, y) to (1, 1) is as…

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Q: A curve is defined by the equation xy - 6+x?y = 0. (a) Verify that the curve passes through the…

A:

Q: 3. Find the length of the curve y =x* +÷x¯² from x = 1 to x = 4

A: 3 Given function isfx=y=18x4+14x-2  from x=1 to x=4now we can writen as fx=x48+14x2 on 1,4The lenght…

Q: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x +…

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give…

Q: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

A:

Q: 5 In the linear consumption function cons = Bo + Binc, the (estimated) marginal propensity to…

A:

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

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Q: 2. Find the point on the curve y = VI thats is closest to the point (3,0)

A:

Q: The line that is normal to the curve x2 + xy - 2y? = 0 at (3,3) intersects the curve at what other…

A:

Q: The slope of the curve y = (5x² + 8x + e)eje at x = 0 is

A:

Q: The graph of y = f(x) (solid) and its tangent line at (0, - 5) (dashed) is shown. 10+ 6- 4- 10 -9 -8…

A: Given: The graph of y=f(x) and its tangent line is at (0,-5) (dashed) is shown.

Q: 13. y = x², y = 0, x= 1; about the y-axis

A:

Q: The graph of y = f(x) (solid) and its tangent line at ( – 5, – 3) (dashed) is shown. - 10+ 7- 6+ 2-…

A: Graph of the function and its tangent line is given, we have to find the required values

Q: 3 Find the length of the curve y = x² – 2 from x = 0 to x = 4.

A: Given curve is y=x32-2 Upon differentiating we get dydx=32x12 We know that length of…

Q: Find the equation of line tangent to the curve y= x+ - at point P(1,3) A 4x + y - 7 = 0 В) 4х - у -7…

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: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: 2 Consider the two graphs y = 2x and x - xy + 2y = 28. The absolute value of the tangent of the…

A: Introduction :

Q: The points at which the graph of the equation 8x2+ y² – 16x + 8y + 8=0 has horizontal tangent lines…

A:

Q: Find the exact length of the curve y = (2/3)(x^2-1)^(3/2), where 1 is less than or equal to x which…

A:

Q: Find the point on the graph y=Vx+1 that is closest to the point (2, 1).

A:

Q: 4) Given :y = ax + bx +1, the curve touches the line x+ y = 0 at %3D The point (3,-3). Find the…

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: 1) Find the equation of the curve whose slope at any point p(x.y) is m = (x+16x +4)(x+4) and passing…

A:

Q: The equation of the tangent to the curve y = x – 3x² – 2x + 2 at the point where the curve cuts the…

A: We have to find  the equation of tangent in the form of y=mx+c.

Q: Suppose that/ (3r-x²) dr=Ax'+Bx'+C, for constants A, B, C. What is the value of C if the curve =…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

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: O Find the equation of tne curuve at cvery point that passes through the point C0-1) and which the…

A: The equation of the curve which passes through point (0, -1) and which the normal line at point (x,…

Q: A curve C has equation y =x2lnx- 2x +5, x > 0. %3D For which values of x, the curve C is convex?

A: The equation of the given curve is  y=13x2 ln x-2x+5 , x&gt;0 For the curve to be convex its second…

Q: The length of the curve y from x=0 to x= 6 is

A: We need to find the length of the curve  y=23(x2+1)32 from x=0 to x=6

Q: I need to solve this question

A:

Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at z = 9 is 5x +…

A: We have to find the equation of the tangent lines of the given curves.

Q: Find the paths orthogonal to the family of curves: cy ^ 2 = xe ^ x

A: Orthogonal path is a curve if it cuts every member of a given family of curves at right angles.

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.