Therefore, f(x) = 2x + 3 is your derivative function, and you need to find the original curve. So find the antiderivative using the given conditions...

∫f(x) = ∫2x + 3 dx
F(x) = x^2 + 3x + C
2 = (1)^2 + 3(1) + C
2 = 4 + C
C= -2

Therefore, the curve is F(x) = x^2 + 3x - 2

Proof: The derivative is the slope at every (x, y) point. The derivative of F(x) comes out to be 2x + 3, so we have found the curve. Plug in x = 1, and y = 2, so the conditions have been met.

<span>Hope I helped.</span>

5 0

2 years ago

Rationalise 5 divide by square root of 12

Fantom [35]

Answer:

(5√12)/12

Step-by-step explanation:

In general, 1/√a can be rationalized as (√a)/a. That is the denominator can be multiplied by the square root of the same number to rationalize it. The numerator needs to be multiplied by the same square root.

$\dfrac{5}{\sqrt{12}}=\dfrac{5}{\sqrt{12}}\cdot\dfrac{\sqrt{12}}{\sqrt{12}}=\boxed{\dfrac{5\sqrt{12}}{12}}$

4 0

1 year ago