xyz 1+x*+y*+z* where x, y and Suppose that the height of a hill above sea level is given by S(x,y,z) = z are in meters. A climber is standing at (1,2, 3) . a. In what direction climber should walk to reduce his height from sea level. b. Find the derivative if climber moves toward (1,1,1)

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: 1.) a function f f (x,y, 2) = 2-eªsing is given. of this function p= ((n 3, 31,-3) at the point what…

A:

Q: Find the derivative of the function at the given point in the direction of A. f(xy) = 5x2 + 4y, (-…

A: We have to find the derivative of the function at the given point in the direction of A.…

Q: ind the slope in the x-direction at the at P(0, 2, ƒ(0, 2)) on the graph of f when f(x, y) slope = 0…

A: We will find the required.

Q: Find the derivatives of the functions in Exercise

A: Given: r=21θ+θ We know that ddxxn=nxn-1                                                        ..1

Q: Verify that (2,3) is on the curve x²+xy-y²=1 and a. find the line that is tangent to the curve at…

A: Given curve, x^2+xy-y^2=1

Q: Let f (x) = x3 – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the…

A:

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

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Q: Find an equation for the tangent line to the curve y = 4 at the point (3,16). X - 1 Oy - 16 = -3(x -…

A:

Q: Find values of a and c such that the tangent to y = ax2 + 12x + c is horizontal at the point (2,5)

A: Tangent is horizontal where derivative is zero

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: Sketch the curve f(x, y) = c together with Vƒ and the tangent line at the given point. Then write an…

A: Curve sketch for 2x2 -y = 13 Curve sketch for  3xy = -54

Q: The slope of the curve 2y = ax + b at (1,-1)is -1.Find a, b.

A:

Q: Find the derivativeof the following function:

A: To determine derivative of the function.