b) (e** cos z) =

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question 3b
3. The following derivatives are expressed by using the Leibniz notation for differenti-
ation. Calculate each of them:
a)
d sin(z?)
b)
c)
(tan(7e) =
4
4. If f(r) = sin(r), can you determine D(2021) f(r)? Explain.
5. What are the differences among the following three examples from the point of view
of differentiation? Explain.
d
sin(3r),
dr
d
dz (sin* r),
and
de (sin(a*).
Compute explicitelly cach and every one of the above integrals.
6. The following set of problems concern applications of Calculus to real life situations.
Think about the following points when solving each such problem:
i) What quantities are given in the problem?
ii) What is the unknown?
iii) Draw a picture
Transcribed Image Text:3. The following derivatives are expressed by using the Leibniz notation for differenti- ation. Calculate each of them: a) d sin(z?) b) c) (tan(7e) = 4 4. If f(r) = sin(r), can you determine D(2021) f(r)? Explain. 5. What are the differences among the following three examples from the point of view of differentiation? Explain. d sin(3r), dr d dz (sin* r), and de (sin(a*). Compute explicitelly cach and every one of the above integrals. 6. The following set of problems concern applications of Calculus to real life situations. Think about the following points when solving each such problem: i) What quantities are given in the problem? ii) What is the unknown? iii) Draw a picture
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