Given,
We can use L'Hopital's Rule to get,
![\lim_{x}^{a}\dfrac{2}{3-\sqrt[3]{x}}](https://tex.z-dn.net/?f=%5Clim_%7Bx%7D%5E%7Ba%7D%5Cdfrac%7B2%7D%7B3-%5Csqrt%5B3%5D%7Bx%7D%7D)
Now plug in a,
![\boxed{\dfrac{2}{3-\sqrt[3]{a}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdfrac%7B2%7D%7B3-%5Csqrt%5B3%5D%7Ba%7D%7D%7D)
Hope this helps.
r3t40
Answer:
{x = 2 , y = -2
Step-by-step explanation:
Solve the following system:
{y = 4 - 3 x | (equation 1)
{y = x/2 - 3 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
{-x/2 + y = -3 | (equation 2)
Add 1/6 × (equation 1) to equation 2:
{3 x + y = 4 | (equation 1)
{0 x+(7 y)/6 = (-7)/3 | (equation 2)
Multiply equation 2 by 6/7:
{3 x + y = 4 | (equation 1)
{0 x+y = -2 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 6 | (equation 1)
{0 x+y = -2 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 2 | (equation 1)
{0 x+y = -2 | (equation 2)
Collect results:
Answer: {x = 2 , y = -2
January . . . $57.85
March . . . . 4 times as much = 4 (57.85) = $231.40
Deposit 78.45 more . . . ($231.40 + 78.45) = <em>$309.85</em> .
Notice that "interest" is never mentioned anywhere in this problem.
In other words, it doesn't matter whether Julie's savings account is
in a bucket in the basement, a mayonnaise jar on the porch, under
her mattress, or in a bank that pays no interest.
Without interest, $309.85 is what she <em><u>does</u></em> have<em><u /></em> in November, which
is about right for savings accounts in banks these days.
What her balance <em><u>should</u></em> be in November is an entirely different subject.
Answer:
35-17=3y
Step-by-step explanation:
3y+17=35
-17 -17
3y=35-17
