Answer:
(14/3)a - (3/2) units²
Step-by-step explanation:
Integrate the function
a(x^0.5) - 2(x^-2)
Add 1 to the power, divide by the new power
a(x^1.5)/1.5 - 2(x^-1)/-1
(2a/3)(x^1.5) + 2/x
Upper limit - Lower limit
[(2a/3)(4^1.5) + 2/4] - [(2a/3)(1^1.5) + 2/1]
= [16a/3 + 1/2] - [2a/3 + 2]
= 14a/3 - 3/2
= (14/3)a - (3/2) units²
The answer is: " <span>3x² − 17 " .
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f(x) = 3x + 1 ;
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If g(x) = x² − 6 ;
then: (f o g)(x) = f(x² − 6) = 3x + 1 ;
= 3(x² − 6) + 1 = 3x² − 18 + 1 ;
= 3x² − 17 .
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6.20÷4 = 1.55
price per individual dounut =$1.55
1.55×12=18.6
12 donuts =$18.6
<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:
- x = 81 and 3/4
Step-by-step explanation:
8 × 2 – 4x = 363
16 - 4x = 363
Subtract 16 from each side:
16 - 16 - 4x = 363 - 16
- 4x = 327
Divide each side by 4:
- 4x ÷ 4 = 327 ÷ 4
- x = 81 and 3/4
