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Math Calculus Calculus

To find d z d t where z = f ( x , y ) , for given f ( x , y ) by expressing z in terms of t

To find d z d t where z = f ( x , y ) , for given f ( x , y ) by expressing z in terms of t

Solution Summary: The author explains how to find dzt by expressing z in terms of t.

Calculus

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Chapter 11.5, Problem 6PS

a.

To determine

To find dzdt where z=f(x,y) , for given f(x,y) by expressing z in terms of t

b.

To determine

To find dzdt where z=f(x,y) , for given f(x,y) by using chain rule

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Chapter 11.5, Problem 5PS

Chapter 11.5, Problem 7PS

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If find az/au and az/av. ?z/?u Əz/dv = z = sin(x² + y²), x = u cos(v), y = u sin(v), REMARK. This problem is unusual: the system expects simplified answers. For example, if the correct answer is a function of u and v identically equal to 1, then the expression exp(uv) *exp(-uv) would not be accepted, while the constant 1 would be. HINT. Try to simplify the *function* itself before differentiating it.

Determine which of the following pairs of functions are linearly independent. NO ANSWER + 1. f(x) = x² , g(x) = 4|x|2 NO ANSWER * 2. f(1) = ed"cos(Ht) = ed'sin(ut) ,u # 0 NO ANSWER 3. f(0) = cos(30) g(6) = 2 cos (8) – 2 cos(8) %3D NO ANSWER + 4. f(t) = 3t g(t) = |t|

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Chapter 11 Solutions

Calculus

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