d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

Q: Where is the line y=5-2x closest to the origin. Use optimization

A: Identify the point (x0, y0) on the line y=5-2x that is closet to the origin.

Q: Write the length L of the rectangle as a function of y.

A: The length of the rectangle can be determined by using the fact that one end is always on y axis and…

Q: y 5- 4- 3- 2- -2 -1- -2- 3-

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Q: Find the value(s) of x such that the distance between the points is 5. (7, 2), (x, −1)

A: The distance between the point (x1,y1) and (x2,y2) is given as d = (x1- x2)2 + (y1 - y2)2

Q: dius 9 units and center dius 3 units and center

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Q: Find the point of the way from (8.-3. 1) to (-6.-10.-3). 0 P=0 0

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Q: Use calculus to show that the closest point on the graph of 2 2 + y² = 5² to point (6, 8) is point…

A: By using calculus to show that the closest point on the graph of  x2+y2=52 to point 6, 8 is point 3,…

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: Suppose you are climbing a hill whose shape is given by the equation z = 2000 - 0.005x²-0.01y2,…

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Q: Find all values of x so that the triangle with vertices A=(-4. x. -4), B=(-1. 3.-7), and C-(-7.…

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Q: Over what interval is the graph of y= x-2| increasing? O A (2, 00) O B (-00, 2) OC (-0, -2) O D.…

A: When y= |x|    y=-x at x<0 y=x  at x>0

Q: Identify the vertex for: f(x) = x² +5x-2 O (-2,--5-) O (--/ -2) O (--/ -33) 33 O ( - 11/, --5-)

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Q: llustration 11.5. Find the standard deviation and coefficient of skewness for the following…

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Q: what is the x-value (a-value) when y = 0 (b = 0)

A: To find the value of x when y=0

Q: Find the value of x between the points  ( − 3, 2) and (x, 6) with slope 2/5.

A: We use the slope formula to find the slope between (-3,2) and (x,6)