If the sales price is 55.50, and the discount is 75%, what is the original price
2 answers:
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Answer:
The area of the rectangle is increasing at a rate of .
Step-by-step explanation:
Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.
To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?
Solution :
The area of the rectangle with length 'l' and width 'w' is given by
Derivative w.r.t 't',
Now, we have given
Substitute all the values,
Therefore, the area of the rectangle is increasing at a rate of .
The inequality is
write 7 as 7b/b to have all the expressions in common denominator:
here b=1 is a root and b=0 is not in the domain of the expression, but it still has an effect in the sign of the expression.
the sign table of
is :
+++++++[0] --------[1] +++++
this means that for values of b to the left of 0 and to the right of 1, the expression is positive, and for values of b in (0, 1), the expression is negative.
that is
for b∈(0, 1)
Answer: (0, 1)
write 7 as 7b/b to have all the expressions in common denominator:
here b=1 is a root and b=0 is not in the domain of the expression, but it still has an effect in the sign of the expression.
the sign table of
+++++++[0] --------[1] +++++
this means that for values of b to the left of 0 and to the right of 1, the expression is positive, and for values of b in (0, 1), the expression is negative.
that is
Answer: (0, 1)