3 years ago

Ejejejjejjejjejjjdjdjjjdjjdjjdjjd

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

5 0

Answer:

freeeeeeee pooooooooints

Step-by-step explanation:

thanks I guess?

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Joe and grace are baking cookies they need a total of 2 cups of sugar for the recipe joe has 11/10 cups of sugar and grace has 3

DanielleElmas [232]

Answer:

Step-by-step explanation:

Total amount of sugar needed to bake the cookies is 2 cups. Amount of sugar that Joe has is 11/10 cups of sugar. Amount of sugar that Grace has is 3/4 cups of sugar.

The total amount of sugar that Joe and Grace have won't be enough to bake the cake because the total of 11/10 cups and 3/4 cups is below 2 cups

6 0

3 years ago

Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

$\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt$
$\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k$

Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$