A random point (T, y) (shown in blue) is on the curve y = – I+2. {Label that point as (z, y).} 10+ 8- 6- 4- 10 -9 -8 -7 -6 -5 -4 -3 4 5 8 9 10 -2- -3- -4- -5- -6- -7- -8 -9- -10+ Express D, the distance from this point (x, y) to the point (5, 2), as a function of T. D = Now, use the methods of this class to find the point on the curve y point (5, 2) (ie, where Distance is a minimum). Find the coordinates of the closest point and also the minimum distance (all to at least 3 decimal places). – ²² + 2 that is closest to the

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: F .2 .2 x- +y at A=(2, 3), B=(-2, 2) and C=(3, -4).

A: 1.) div F at A(2,3) = <4,6>2.) div F at B(-2,2) = <-4,4>3.) div F at C(3,-4) =…

Q: Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy…

A:

Q: Let a = (-2,3, –4)" , y = (3,-2, -5)". (a) Find ||a||1. (b) Find ||a||2- (c) Find ||y||o-

A: Given Information -  x = -23-4  and  y = 3-2-5We have to find the following - (a) x1(b) x2(c) y∞…

Q: If the point A(2,7) was dilated by a factor of 2 with a center at the origin and then translated by…

A: A dilation by a factor of 2, transforms A(2,7) into B(4,14)  [Since, 2×(2,7) = (4,14)]

Q: y=-2log_(2)(x+3)-1 Plot at least four points that fit on.

A:

Q: Use the figure to determine the interval(s) on which the function isincreasing

A: Given: Figure of the function :

Q: Find the midpoint of CD. M = (×¹±×²¸ Y¹+y²) X1+X2 2 2 C = (9,2) and D= (-7,-9) (1₁-) Notice that the…

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Q: Find the equation of locus of a point which is at distance 5 from A(4,-3)

A:

Q: What are the points of inter section of y = 8 and f(x)

A:

Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: Determine the length of x = 3+ (y – 2)², 4<x< 19

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Q: State the open interval where the graph is concave up. f(x) = - 6x³ - 36x² + 6x A) (-6,∞) E) (-2∞)…

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Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

A:

Q: 3. Which of the following points would not lie on the line y=7? (1) (-2,7) (3) (0, 7) (2) (7,-1) (4)…

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Q: Find the per pendicualar olistace from the P (5,6) to the line -2xr+3Y+4=0.

A: Formula for perpendicular distance is as below : Given :-2x+3y+4=0Ax+By+C=0A=-2B=3C=4 Point  (m , n…

Q: Evaluate F. dr along the line segment C from Pto Q. F = -8 xi+5y j; P(-1,0), Q(7, 0) F. dr i

A:

Q: Mark all points that are on the line y = 4x – 7. O (3, 5) (– 2, – 15) O (4, – 7) O(- 3, – 20)

A: Given : y = 4x - 7

Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Q: Evaluate |(xy? + 4) ds where C is the portion of the line segment from (1,2) to (3,-4) and then from…

A:

Q: Find the values of y if x=5 and some se of points are (1,4) and (6,9)

A: The value of table for x and y x 1 6 y 4 9