Consider the function f (x, y) with level curves as shown below. At the point P are two vectors T and w. 13 -1 v W m Note that line m is tangent to the level curve at P, ī is along m while w is perpendicular to m. → 1. What is Dīf at the point P? Briefly explain why.

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A: Here we will see the correct range of each inverse trig. function,

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A: solve the equations

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A: (x0 , y0 ) = (2,3) tangent plane formula  f(x,y) = (x-x0 )f'x(x0 , y0 ) + (y-y0 )f'y(x0 , y0 )  here...

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A: 1)f(x) = 1-xx is not defined for x<0.Domain: [0, ∞)f(x) will have maximum value 1.Range: (-∞, 1)2...

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A: Topic:- application of derivatives

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A: We will express the cylindrical coordinates in Cartesian coordinates. 

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A: we have of cheek and find answer

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A: The given problem is solved below in detail.

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A: The Maclaurin series for cos(2x) for every x.

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A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

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A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

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Q: х+ 3 f(x) %3D x2 - 9

A:

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A: The hypotenuse of a right triangle is 14m. Note:    Multiple questions are given, we are answer with...

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A: Given query is to find domain of cotx .

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A: Find your answer below 

Q: (3 + 7i) 2 – 3i)

A: Follow next step

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A: According to question,Given function,fx = 2 cotx - π2+1

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A:

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A: Topic:- calculus

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A: This question can be solved by the concept of maxima and minima.

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A:

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A:

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A:

Q: 4 f(x)=-3tan(x+- 4 Period f(x) Vertical Shift: Horizontal Shift Start End Increments

A: Solution is given below:

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A:

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A: Given  G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Therefore G^(-1) = { (0, 1), (3, 2), (-1, 0), (-2, -1...

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A: Solution of the above series is

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A:

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A: topic - derivative of a function

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A: Slope of the tangent line to the graph y=xx+1 ism=dydx=(x+1)-x(x+1)2substitute x=1m=(1+1)-1(1+1)2=2-...

Q: Example 19: (a) If x +y = 25, find dy/dx. (b) Find an equation of the tangent to the circle x +y = 2...

A: As asked we can find the necessary answers as below 

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it...

A: Given:    T (surroundings temp)= 20    T0 (initial temp)  = 95   Now      T = 65  dT/dt = 1