Use partial derivatives to locate critical points for a function of two variables. Find the points on the cone 2² = x² + y² that are closest to the point (2, 1, 0). Please show your answers to at least 4 decimal places.

Q: The doctor prescribes 25mg/kg divided into 3 equal doses for a todddler whom was 42 lbs. find the…

A: The weight of the child is 42 lbs The weight of the child in kilograms is 42×0.4536=19.0512≈19…

Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

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Q: Find the value of k so that the following curves y=(x^4)/k and y=-3x^3-2x^2 intersect at more than…

A: To find the value of k such that the curves y=kx4​ and y=−3x3−2x2 intersect at more than two points,…

Q: A simple curve that often makes a good model for the variable costs of a company, as a function of…

A: Given : a curve that makes a good model for the variable costs of the company and has the form -…

Q: The equation that describes the volume of the conical shape RELATES the quantities : volume, radius…

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Q: How can you use directional derivatives to estimate change?

A: Let f be a differentiable function. The directional derivative of f in a particular direction at a…

Q: ompute the instantaneous slope at: (-1,-1) A: (-1,-1) and B: (x,-1/x+2) so triangle x = triangle…

A: We have to find the instantaneous slope at: (-1,-1).

Q: Considering the following graph of the given function f. y The xy-coordinate plane is given. The…

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Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the slope of the curve x^2 + y^2 = 3 + xy at (0,√3). (Simplify your answer.)

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Q: Sketch the graph of the following function.   Find . dy/dx and d^2y/dx^2 Draw number lines showing…

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Q: Find the partial derivative indicated. Assume the variables are restricted to a domain on which the…

A: Given : ∂∂M4πr52GM