2 years ago

30 points

1 answer:

6 0

A savings account helps you save for retirement and college while a CD isn’t typically used for that. A savings account is much more beneficial because it is also an emergency fund when you need it.

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Assume x=x(t) and y=y(t). Find dx/dt if x^2(y-6) = 12y + 3 and dy/dt = 2 when x = 5 and y = 12

777dan777 [17]

$x^2(y-6)=12y+3$

Differentiate:

$2x\dfrac{\mathrm dx}{\mathrm dt}(y-6)+x^2\dfrac{\mathrm dy}{\mathrm dt}=12\dfrac{\mathrm dy}{\mathrm dt}$

Plug in everything you know: $\dfrac{\mathrm dy}{\mathrm dt}=2$ , $x=5$ , and $y=12$

$2(5)\dfrac{\mathrm dx}{\mathrm dt}(12-6)+5^2(2)=12(2)\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac{13}{30}$

6 0

3 years ago

43) A bag contains 3 blue chips, 2 red chips, and 4 green chips. If one chip is drawn random, what is the

Flauer [41]

The answer is b. 1/3.

3 0

2 years ago

F(x) and g(x) are a differentiable function for all reals and h(x) = g[f(5x)]. The table below gives selected values for f(x), g

astraxan [27]

By the chain rule,

$h(x)=g(f(5x))\implies h'(x)=5g'(f(5x))f'(5x)$

so

$h'(1)=5g'(f(5))f'(5)$

It's kinda hard to tell which values are which in the table, but if I had to guess, you should get

$h'(t)=5g'(f(5))f'(5)=5g'(2)(0)=0$