11. f(*, у) — х2- 3ху, г(t) — (сos t, sin t), t - 0 12. f(x, у) — х? - 3ху, г() — (сos t, sin t), 1%3D %3 13. f(x, y) — sin(xу), г() — (е", е), 30 14. f(x, у) — соs(y — х), r() %3D(e', e^), 13 In3

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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Pls complete problems 11 and 14. Show all work pls. 

d
In Exercises 9–20, use the Chain Rule to calculate
f(r(t)) at the value
dt
of t given.
9. f(*, y) — Зх — 7у, г() — (сos t, sin t), t%3D0
10. f(x, у) — 2х + Зу, r(t) — (3, 12), t%3D -2
11. f(x, у) — х2 - 3ху, г(t) — (сos t, sin t), t 3 0
12. f(x, у) — х? - 3ху, г() — (cos t, sin t), t 3D 3
13. f(x, у) — sin(ху), г() — (е", ез), г — 0
14. f(*, у) 3 соs(y — х), r() — (e', e), 1%3 In3
Transcribed Image Text:d In Exercises 9–20, use the Chain Rule to calculate f(r(t)) at the value dt of t given. 9. f(*, y) — Зх — 7у, г() — (сos t, sin t), t%3D0 10. f(x, у) — 2х + Зу, r(t) — (3, 12), t%3D -2 11. f(x, у) — х2 - 3ху, г(t) — (сos t, sin t), t 3 0 12. f(x, у) — х? - 3ху, г() — (cos t, sin t), t 3D 3 13. f(x, у) — sin(ху), г() — (е", ез), г — 0 14. f(*, у) 3 соs(y — х), r() — (e', e), 1%3 In3
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