Biocalculus: Calculus For Life Sciences
15th Edition
ISBN: 9781305177291
Author: James Stewart, Troy Day
Publisher: Cengage Learning
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Use Laplace transform to solve the initial value problem
y' + y = tsin(t), y(0) = 0
The function g is defined by
g(x) = sec² x + tan x. What are all
solutions to g(x) = 1 on the interval
0 ≤ x ≤ 2π ?
A
x =
= 0, x
==
= 3,
x = π,
x =
7
4
,
4
and x 2π only
=
B
x =
4'
1, x = 1, x = 57
and x = 3 only
C
x =
πk and x =
- +πk
D
,
where is any integer
П
x = +πk and
П
x =
+πk, where k is
any integer
Vector v = PQ has initial point P (2, 14) and terminal point Q (7, 3). Vector v = RS has initial point R (29, 8) and terminal point S (12, 17).
Part A: Write u and v in linear form. Show all necessary work.
Part B: Write u and v in trigonometric form. Show all necessary work.
Part C: Find 7u − 4v. Show all necessary calculations.
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