Graph glx) and-9( ) on the same axes AY for the x-interval x E [6,51. How did you get -gl ) from gcx) gix)=X-5x+6

Q: Compare the graphs of y = Vx, y = Vx, y = x, y = x², and y x³ on the interval 0 0 and p and q are…

A: step:- 1 Generalization using nature of graph In interval (0,1) First draw graphs of x13,x12,x,x2,x3…

Q: use Eq. (3) to find the length of the path over the given interval. (3t + 1, 9 − 4t), 0 ≤ t ≤ 2

A: We have to find the length of the curve 3t+1,9-4t ,0≤t≤2

Q: The graph of f(x) = 5(x – 1)2 – 6 is a parabola that opens --Select--- , with its vertex at (x, y) =…

A: Given equation  f(x) =5x-12-6

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: Find the distance between the points of intersection of the graphs y = x+2 and y = 4 - x.

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Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

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Q: Identify the type of discontinuity at x= - 2. a) Removable Discontinuity b) Essential Jump…

A: The function is said to be continuous at a point if the function holds a definite value in the…

Q: Find global maximum and global minimum of æ3 – 9x? – 48x + 52 on the interval [-5, 12]

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Q: 1. What are the eventually fixed points for A(x) = /x/? %3D

A: 1) what are the eventually fixed points for Ax=x solution it is known that fixed point of a function…

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 are parrallel.

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Q: Determine the threer-value candidates for absolute extremum on the interval [-3,1] for the function…

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Q: Suppose (P, Q) is the point on the graph of y=/x closest to (1, 0). What is the value of P+ Q?

A: Let's find.

Q: Find the maximum of the quantity xy² where x and y are nonnegative integers and x + y = 9.

A: Since x+y=9, then x=9-y. Assume that, N=xy2=9-yy2=9y2-y3 To find the critical points, set dNdy=0.…

Q: 4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and…

A: 4.  The equation of the line passing through a point x1,y1=1,2 and the point of intersection of the…

Q: Two nonnegative numbers whose product is 36a? (where a > 0) and whose sum is a minimum, are

A: Now we will solve the problem.

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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Q: ind the maximum of all the possible value

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Q: What is the length of the graph of y = In(x<+1) - x from x = 0 to x = 3?

A: Given  The graph equation is y=lnx2+1-x  from  x=0 to x= 3 .   Formula :- Arc length of curve…

Q: : Let y = x3-3x + 2, find the absolute maximum and minimum on the closed interval [-3,3] and sketch…

A: Given  y = x3-3x+2 We have to find the absolute maximum and minimum on the closed interval [-3, 3].

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

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Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

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Q: Suppose that P is twice as far from (0, 0) as P is from (6, 0 Find such a point on the x-axis.

A: Let A0,0 and B6,0. It is given that P is twice as far from A0,0 as from B6,0. We know that if point…

Q: the path of a diver is gien by 2y=-x^2+6x+102 where y is the height(in meter) and x is the…

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Q: Point X is equidistant from F and T. Furthermore, point Y is equidistantfrom F and T. Does that mean…

A: To check: Whether the point X and Y are equally distance from F. Given: The point X is equidistance…

Q: Find the points on x=3-y^2 that are closest to the given point (1,0)

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Q: 3. Find the number in the interval E,2] such that the sum of the number and its reciprocal is (a) a…

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Q: there are many ways to change the equation x3-xlnx - 1 = 0 to the fixed point x =g (x); form one of…

A: Given: x3-x ln x-1=0  Interval (0,2)

Q: use Eq. (3) to find the length of the path over the given interval. (2t2, 3t2 − 1), 0≤ t ≤ 4

A:

Q: 51. Show that the shortest distance from the point (x1, yı) to the straight line Ax + By + C=0 is Ax…

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Q: *10. Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) =…

A: poin of maxima and minima problem....

Q: Suppose the point (-3, 10) lies on y = f(x) and the point (2, -3) lie point on the function y =…

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: A be a positive real number. If the absolute minimum value of f(x)= Ax³ – 45x³ on [0, ∞) occurs at x…

A: Applying critical point and absolute value test

Q: Find the value(s) of x such that the distance between the points is 5. (2, -1), (x, 2)

A: Distance between the points 2,1, x,2 is 5. use distance formula:    Distance between the points…

Q: Approximate the point of intersectión of the graphs of r and g. (x, y) = (

A: Given,

Q: Is the domain of y = 4' all real numbers? (ie) continuous

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Q: Find the point on the curve h(x)=x2−8 that is closest to the point (−18,−8). Enter your answer as an…

A: If the point on the curve h(x) = x2 − 8 is closest to the point (−18,−8), then their distance will…

Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: an object is traveling on a path of y=sprt(x+3) where will the object be closest to (2,0)

A: We have to find the closet point to (2, 0)

Q: use Eq. (3) to find the length of the path over the given interval. (3t2, 4t3), 1≤ t ≤ 4

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Q: | (i) On the interval [3, 10], f: does attain an absolute maximum; does not attain an absolute…

A: In the interval [3,10] , on the right side of x=5 the graph goes to its highest position. But there…

Q: (1) ( ) Find the shortest distance between two lines given x +2 -8 y = and y 2

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Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

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Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: The given figure is: To find the formula for the cost of laying the pipe in terms of x.

Q: 2- Find ( for: y= esin-1 x

A: first derivative of function

Q: Find the value of k such that the perpendicular distance of the point (2,k) from the line x - 2y =…

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Q: 3. Find the number in the interval ,2] such that the sum of the number and its reciprocal is (a) a…

A: Let number = x,  It is given that, the function is = sum of number and its reciprocal

Q: analytic except at finte possible points 2121 1-そ Fend ofo.

A: A function f(z) is said to be analytic that is if f(z)=u + i v, and z= x + i y in the region R If…

Q: Find the dis tance from the Point (2,5) and the line 2y=6x-1

A: Given : To determine the distance of the point 2,5 and the line 2y = 6x-1

Q: A parabola has x-intercepts of -1, 4, Determine the equation of the parabola in f(x) = a(x-r)(x-s)…

A: