I need this ASAP PLEASE
a) Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 10 sin^2(x) = 5
b) Solve the inequality for x: e^(2 − 3x) > 4
c) find the domain of : f(x) = square root (5 − e^2x)
d) find the domain of f(x) = (1/2) ln(5-x^2)
a) Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.) 10 sin^2(x) = 5
b) Solve the inequality for x: e^(2 − 3x) > 4
c) find the domain of : f(x) = square root (5 − e^2x)
d) find the domain of f(x) = (1/2) ln(5-x^2)
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sin²(x) = 5/10
sin(x) = ±1/√2
x = π/4, 3π/4, 5π/4, 7π/4.
2−3x > ln(4)
−3x > ln(4) − 2
x < 0.20457.
5 − e^(2x) ≥ 0
5 ≥ e^(2x)
ln(5) ≥ 2x
x ≤ 0.80472.
5−x² > 0
x² < 5
−√5 < x < √5
−2.236 < x < 2.236.
sin(x) = ±1/√2
x = π/4, 3π/4, 5π/4, 7π/4.
2−3x > ln(4)
−3x > ln(4) − 2
x < 0.20457.
5 − e^(2x) ≥ 0
5 ≥ e^(2x)
ln(5) ≥ 2x
x ≤ 0.80472.
5−x² > 0
x² < 5
−√5 < x < √5
−2.236 < x < 2.236.