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Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

did u add the attachment of the the statements? cuz i dont see it.

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The position equation for a particle is s of t equals the square root of the quantity t cubed plus 1 where s is measured in feet

vladimir1956 [14]

$\bf s(t)=\sqrt{t^3+1}
\\\\\\
\cfrac{ds}{dt}=\cfrac{1}{2}(t^3+1)^{-\frac{1}{2}}\cdot 3t^2\implies \boxed{\cfrac{ds}{dt}=\cfrac{3t^2}{2\sqrt{t^3+1}}}\leftarrow v(t)
\\\\\\
\cfrac{d^2s}{dt^2}=\cfrac{6t(2\sqrt{t^3+1})-3t^2\left( \frac{3t^2}{\sqrt{t^3+1}} \right)}{(2\sqrt{t^3+1})^2}\implies 
\cfrac{d^2s}{dt^2}=\cfrac{ \frac{6t(2\sqrt{t^3+1})-1}{\sqrt{t^3+1}} }{4(t^3+1)}$

$\bf \cfrac{d^2s}{dt^2}=\cfrac{6t[2(t^3+1)]-1}{4(t^3+1)\sqrt{t^3+1}}\implies 
\boxed{\cfrac{d^2s}{dt^2}=\cfrac{12t^4+12t-1}{4t^3+4\sqrt{t^3+1}}}\leftarrow a(t)\\\\
-------------------------------\\\\a(2)=\cfrac{215~ft^2}{44~sec}$

8 0

3 years ago

Read 2 more answers

If f(x)=4x+5 what is f(4)

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

f(4) = 4(4) + 5

f4= 16 + 5

f4= 21

f = 21/4

f= 5.25

5 0

3 years ago

Can someone help me this please

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

$23=-6(-3)+c\\$ Plug in the given x- and y-coordinates (in this case we'll use $c$ for the missing variable)

$23=18+c$ Simplify

$5=c$ Subtract 18 from both sides (Subtraction Property of Equality)

8 0

4 years ago

Answer please I’m really struggling with this

katovenus [111]

To write the any polynomial in standard form you must first put it in terms separated only by $+,-$ operators, then you must order terms $x^n$ descendingly according to $n$ . In your case $-\frac{1}{5}x^2$ will be the first term because it has highest power, followed by $-8x^1$ and $+7x^0$ .