When an spherical balloon volume is increasing at the rate of 
then the diameter of the balloon is increasing 
How can we find the rate of change of balloon's diameter ?
The volume of a spherical balloon is 
In form of diameter we can write as
Now we will differentiate both sides wrt to 
we get
Given in the question 
thus when we substitute the values we get
Learn more about the differentiation here:
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Answer:
Y=1/3
Step-by-step explanation:
X=k/y
So let's make k the subject of formula
k=xy
x=1,y=5
So let's substitute
k=1×5
k=5
So we are to determine the value for y when x is 15
So let's solve
Y=k/x
Y=5/15
Y=1/3
Y=0.333333~0.3
.625 or if you want it in a fraction it is 625/1000
Answer:
f(x) = x² - 2x - 15
Step-by-step explanation:
∵ The function intersect x-axis at -3 and 5
∴ f(x) = 0 at x = -3 , 5
∵ The form of the quadratic equation is ⇒ ax² + -b/a x + c/a = 0
ax² - b/a x + c/a = 0
Where the sum of its roots is b/a and their multiplication is c/a
∵ a = 1
∵ -3 , 5 are the roots of the quadratic equation
∴ b = -3 + 5 = 2
∴ c = -3 × 5 = -15
∴ f(x) = x² - 2x - 15
