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Gnom [1K]
2 years ago
10

10. Find

%5Csin%20t%7D_1%5Csqrt%7B1%2Bu%5E%7B4%7D%7Ddu%5Cright%29dt%5Ctext%7B.%7D" id="TexFormula1" title="\frac{d^{2}}{d x^{2}}\int ^x_0\left(\int ^{\sin t}_1\sqrt{1+u^{4}}du\right)dt\text{.}" alt="\frac{d^{2}}{d x^{2}}\int ^x_0\left(\int ^{\sin t}_1\sqrt{1+u^{4}}du\right)dt\text{.}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
RideAnS [48]2 years ago
3 0

Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is

\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)

Then using the FTC again, differentiating g gives

\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}

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The truck cot 20 dollars and the fee is 1.50 dollars

Step-by-step explanation:

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3 years ago
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liberstina [14]

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Is there more information?

Step-by-step explanation:

4 0
3 years ago
Find the value of x. Then find the measure of each labeled angle.<br> (9x - 10)<br> (5x + 38)
omeli [17]

Answer:

x=12 and

(9*12)-10=98

(5*12)+38=98

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Step-by-step explanation:

do this :

9x - 10 = 5x + 38

( - 5x from both sides)

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(divide by 4)

x=48/4

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substitute into the equations:

(9*12)-10

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3 0
3 years ago
Please someone helpppp ):
skad [1K]

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  70 -20x = 60 -15x

Step-by-step explanation:

The amount of money left on Josh's card is ...

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The amount of money left on Jessica's card is ...

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3 0
2 years ago
Emily took 300 US dollars to the bank to exchange it for Canadian dollars. The exchange rate on that day was 1.25 Canadian dolla
Paha777 [63]

Emily wanted to exchange her 300 US Dollars for Canadian Dollars.

The exchange rate for it was 1.25 Canadian Dollars for 1 US Dollar.

This means that 1 US Dollar = 1.25 Canadian Dollars.

So if we were to follow this pattern,

2 US Dollars = 2 × 1.25 = 2.5 Canadian Dollars

3 US Dollars = 3 × 1.25 = 3.75 Canadian Dollars

4 US Dollars = 4 × 1.25 = 5 Canadian Dollars

So for 300 US Dollars, we'll need to multiply 300 by 1.25.

300 US Dollars = 300 × 1.25 = 375 Canadian Dollars.

Hope it helps. :)

4 0
3 years ago
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