Question

3.Let P = (x,y) be a point on the Graph of y = 1/x. 3a.Indicate why,...

3.Let P = (x,y) be a point on the Graph of y = 1/x.

3a.Indicate why, on the basis of Concavity and Symmetry, the points P = (1,1) and (-1,-1) must be closest of all points P on the Graph to the Origin.

3b.Find the closest point P on the graph to (2,2).

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem: Let y=f(x)be a differentiable function and let P(x0,y0)be a point that is not on the...
Problem: Let y=f(x)be a differentiable function and let P(x0,y0)be a point that is not on the graph of function. Find a point Q on the graph of the function which is at a minimum distance from P. Complete the following steps. Let Q(x,y)be a point on the graph of the function Let D be the square of the distance PQ¯. Find an expression for D, in terms of x. Differentiate D with respect to x and show that f′(x)=−x−x0f(x)−y0 The...
1.    Let Y` = x3    - 2 x2 - 8x ( note : y prime...
1.    Let Y` = x3    - 2 x2 - 8x ( note : y prime ) Find the critical points _____________ Find Y`` ________________ a) Critical pt 1 x= ________ What is the concavity at critical point 1 ( positive or negative ) _______ Do we have a (local) max or min at crit. point 1 ? ___________ b)   Critical pt 2 x= ________ What is the concavity at critical point 2 ( positive or negative ) _______ Do...
9. Let (x, y) be a point lying on the graph of y=√x. Let d denote...
9. Let (x, y) be a point lying on the graph of y=√x. Let d denote the distance from (x, y) to the point (1,0). Find a formula for d^2 that depends only on x. 10. Using your answer to Problem 9, find the point (x0, y0) on the graph ofy=√x that has the smallest possible distance to (1,0).
1. Let B = {(−1,2),(1,1)} = {w1,w2} be a basis for R2, and v = (3,...
1. Let B = {(−1,2),(1,1)} = {w1,w2} be a basis for R2, and v = (3, 2). Find (v)B. 2. Find the closest point in the plane 3x−y+2z = 0 to the point p(−1, 2, −1). What is the distance from p to this plane? Thank you.
Consider the graph of y=f(x)=1−x2  and a typical point P on the graph in the first quadrant....
Consider the graph of y=f(x)=1−x2  and a typical point P on the graph in the first quadrant. The tangent line to the graph at P will determine a right triangle in the first quadrant, as pictured below. a) Find the formula for a function A(x) that computes the area of the triangle through the point P=(x,y)   b) Find the point P so that the area of the triangle is as small as possible: P =()
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and...
1. Let T(x, y, z) = (x + z, y − 2x, −z + 2y) and S(x, y, z) = (2y − z, x − z, y + 3x). Use matrices to find the composition S ◦ T. 2. Find an equation of the tangent plane to the graph of x 2 − y 2 − 3z 2 = 5 at (6, 2, 3). 3. Find the critical points of f(x, y) = (x 2 + y 2 )e −y...
Let F⃗=xi⃗+(x+y)j⃗+(x−y+z)k⃗ . Let the line l be x=t−1, y=3−4t , z=1−4t . (a) Find a...
Let F⃗=xi⃗+(x+y)j⃗+(x−y+z)k⃗ . Let the line l be x=t−1, y=3−4t , z=1−4t . (a) Find a point P=(x0,y0,z0) where F⃗ is parallel to l . Find a point Q=(x1,y1,z1) at which F⃗ and l are perpendicular. Give an equation for the set of all points at which F⃗ and l are perpendicular.
Let the 2D point p have coordinates (x,y) with respect to the orthonormal coordinates system given...
Let the 2D point p have coordinates (x,y) with respect to the orthonormal coordinates system given by the origin o = (0,0) and the two basis vectors b1 = (1,0) and b2 = (0,1). The coordinate system is rotated by 45 degree. What are the new coordinates of the point p with respect to the new coordinates system? Provide an illustration!
Find the point on the surface (x-3)2 + (y-2)2 + z2 =1 that is closest to...
Find the point on the surface (x-3)2 + (y-2)2 + z2 =1 that is closest to the origin.
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not...
Is the function f(x,y)=x−yx+y continuous at the point (−1,−1)? If not, why is the function not continuous? Select the correct answer below: A. Yes B. No, because lim(x,y)→(−1,1)x−yx+y=−1 and f(0,0)=0. C. No, because lim(x,y)→(−1,1)x−yx+y does not exist and f(0,0) does not exist. D. No, because lim(x,y)→(0,0)x2−y2x2+y2=1 and f(0,0)=0.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT