Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Solve all questions : liyi
01) Find the local extreme values of the function:
f(x.y) =4 x? – 6xy + 5 y? - 20x + 26y
Q2) Evaluate S In r In s Int dt dr ds
Q3) Reversing the order of integration 2 y? sinxy dy dx
Q4) find equations tangent plane and normal line:
coSTX - x'y + e" + yz = 4
at po (0. 1.2)
t*(x? + y*)dydx
4-2
Q5) Evaluating in polar coordinates:
x-y+27-25
Q6) find the limit
lim
(x.y)-(0.0)
Q7) Find the volume of the solid bounded above by the plane z 4- x - y
and below by the rectangle R = {(x, y) : 0 <x<1; 0s y <2}.
Q8) Find the Linearization f(x. y. z) = x + xy + yz +
at (1,1,2)
Q9) Use Green's Theorem to find the counterclockwise circulation (flow)
and outward flux for the field F and curve C.
F- (x-y)i +(y-x)j
C: The square bounded by x-0, x=1, y=0, y-1.
Q10) use the Chain Rule to find the derivative of w= xy ;With respect to t
along the path x-cost, y=sint. what is the derivatives value at t =
Q11) Converting Cartesian to spherical x + y? + (z - 1)2 = 1
Q12) Evaluate " L*sin*o +z)dzrdrde
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