Mathematics
01.01.2023 10:26
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Ihave fewer than 25 i have more then 21

Ihave fewer than 25 i have more then 21
Ihave fewer than 25 i have more then 21
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brandytyler317fries
brandytyler317fries
4,4(70 marks)

You could have anywhere from 22 to 24 acorns

amiechap12
amiechap12
4,4(10 marks)

22-24 acorns.

Step-by-step explanation:

if you have fewer then 25 and more then 21, then you could have from 22 to 24 acorns

kaur16435
kaur16435
4,6(37 marks)

Step-by-step explanation:

Given that:

y^2 (y^2-4) = x^2(x^2 -5)

at point (0, -2)

\implies y^4 -4y^2 = x^4 -5x^2

Taking the differential from the equation above with respect to x;

4y^3 \dfrac{dy}{dx}-8y \dfrac{dy}{dx}= 4x^3 -10x

Collect like terms

(4y^3 -8y)\dfrac{dy}{dx}= 4x^3 -10x

\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}

Hence, the slope of the tangent line m can be said to be:

\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}

At point (0,-2)

\dfrac{dy}{dx}= \dfrac{4(0)^3 -10(0)}{4(-2)^3-8-(2)}

\dfrac{dy}{dx}= \dfrac{0 -0}{4(-8)+16}

\dfrac{dy}{dx}= 0

m = 0

So, we now have the equation of the tangent line with slope m = 0 moving through the point (x, y) = (0, -2) to be:

(y - yโ‚ = m(x - xโ‚))

y + 2 = 0(x - 0)

y + 2 = 0

y = -2

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