Question

a.
find all possible EXACT solutions for 2sin (3x) + sqrt3 = 0

b. find all exact solutions of 3cos(2x) + 5sin(x)=-1 on
[0,2pi)

Answer #1

For the following exercises, find all exact solutions on [0,
2π)
23. sec(x)sin(x) − 2sin(x) = 0
25. 2cos^2 t + cos(t) = 1
31. 8sin^2 (x) + 6sin(x) + 1 = 0
32. 2cos(π/5 θ) = √3

Evaluate the integral ∫x^2cos(3x)dx..
Select one:
a. 1/3x^2sin(3x)+2/27sin(3x)−2/9xcos(3x)+C
1/3x^2sin(3x)+2/27sin(3x)−2/9xcos(3x)+C
b. 1/3x^2sin(3x)−2/27sin(3x)+2/9xcos(3x)+C
13x^2sin(3x)−2/27sin(3x)+2/9xcos(3x)+C
c. x/2sin(x)−2/9sin(x)+2/3xcos(x)+C
x^2sin(x)−2/9sin(x)+2/3xcos(x)+C
d. x^2sin(x)+2/9sin(x)−2/3xcos(x)+C

Solve the following equations over the interval [0,2pi)
a) 3tan^2x-9=0
b) 2cos3x=1
c) sin2x=cosx
d) 2sin^2-3sinx+1=0

Find all solutions to each congruence.
(a) 2x − 3 ≡ 2 (mod 7)
(b) 3x + 4 ≡ 1 (mod 5)
(c) 3x ≡ 6 (mod 9)
(d) 14x ≡ 11 (mod 15)

Find all exact solutions on the interval
0 ≤ x < 2π.
(Enter your answers as a comma-separated list.)
cot(x) + 4 = 5
x=

For each part, find all possible solutions to the given
equations (if any exist).
i ) x = 7 mod 9, x =3 mod 4
ii) 3x^2 +1 = 0 mod 10
iii) 3x+7 = 9 mod 10

1. Find the general solutions
a. xy’ + ln(x)y = 0
b. xy’ - 3x = 0
2. Solve the initial value
a. xy’ + (1 + xcox(x))y = 0; y(pi/2) =
2

Find all solutions to the given equations. Then find all
solutions in the interval [0,2pie)
a. 2sin^2(theta)-sin(theta)-1=0
b. tan(2theta)=cot(2theta)
c. sin(3theta)-sin(6theta)=0
d.sec^2(theta)=2tan(theta)
Please Show All Work

5. Find all of the solutions (in radians and exact) between −6
and 0 that satisfy (cos(θ))^4= (sin(θ)^)4.

1. Evaluate the definite integral given
below.
∫(from 0 to π/3) (2sin(x)+3cos(x)) dx
2. Given F(x) below, find F′(x).
F(x)=∫(from 2 to ln(x)) (t^2+9)dt
3. Evaluate the definite integral given
below.
∫(from 0 to 2) (−5x^3/4 + 2x^1/4)dx

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 15 minutes ago

asked 18 minutes ago

asked 27 minutes ago

asked 45 minutes ago

asked 51 minutes ago

asked 53 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago