Using implicit differentiation, it is found that y is changing at a rate of 10 units per second.
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The equation is:
Applying implicit differentiation in function of t, we have that:
- x-values changing at a rate of 2 units per second means that
- Point Q(1,4) means that
.
We want to find 
, thus:
y is changing at a rate of 10 units per second.
A similar problem is given at brainly.com/question/9543179
Step-by-step explanation:
#1.
(a + 2b)²
<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>
= (a)² + (2b)² + 2 × (a) × (2b)
= a² + 4b² + 4ab
= a² + 4ab + 4b² Ans.
#2.
(5x - 3y)²
<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>
= (5x)² + (3y)² - 2 × (5x) × (3y)
= 25x² + 9y² - 30xy
= 25x² - 30xy + 9y² Ans.
#3.
(3a + 4)(3a - 4)(9a² + 16)
<em>Using identity (x + y)(x - y) = x² - y², we get:</em>
= [(3a)² - (4)²][9a² + 16]
= (9a² - 16)(9a² + 16)
= (9a²)² - (16)²
= 81a⁴ - 256 Ans.
Answer:
then Radias equal to 5.5676
Step-by-step explanation:
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