Owners of a recreation area are filling a small pond with water. they are adding water at a rate of 34 liters per minute. there
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y = 7x - 3
Note the gradient of the tangent is the derivative of y at x = 1
Differentiate using the power rule
(a
) = na
y = 3x³ - x² + 2
= 9x² - 2x
x = 1 : = 9 - 2 = 7 ← gradient of tangent
equation in point- slope form, using m = 7 and (a, b) = (1, 4)
y - 4 = 7(x - 1) ← point-slope form
y - 4 = 7x - 7
y = 7x - 3 ← in slope-intercept form
Answer:
p : q : r = 10 : 4 : 3
Step-by-step explanation:
Expressing the ratio in fractional form
=
( cross- multiply )
4r = 3q ( divide both sides by 4 )
r = q =
× 2 =
Then
p : q : r
= 5 : 2 : ( multiply all parts by 2 )
= 10 : 4 : 3