Simplify the expression: 2(3 + g) =
1 answer:
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<u>Given</u>:
Given that we need to prove the identity
<u>Proof</u>:
Step 1: Factor out the common term sin x, we get;
Step 2: Using the identity
Step 3: Reciprocating sec x, we get;
Step 4: Splitting the denominator, we have;
Simplifying, we get;
Thus, the identity is proved.
Answer:
4.4 ft/s
Step-by-step explanation:
Height = 15ft
Rate= 5 ft/s
Distance from the man to the kite= 32ft
dh/dt = 5 ft/s
h = √32^2 - 15^2
h = √ 1025 - 225
h = √800
h = 28.28ft
D = √15^2 + h^2
dD/dt = 1/2(15^2 + h^2)^-1/2 (2h) dh/dt
= h(225 + h^2)^-1/2 dh/dt
= (h / √225 + h^2)5
= (28.28 / √225 + 28.28^2)5
= (28.28 / √1024.7584)5
= (28.28/32)5
= 0.88*5
= 4.4 ft/s
