Answer:
g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))
Step-by-step explanation:
Using the fundamental theorem of calculus
Taking the derivative of the integral gives back the function
Since the lower limit is a constant when we take the derivative it is zero
d/dx
g(t) = sinh^-1 ( ln(7t^6 +3) / sqrt( 8+cot( t^( 3+t))))
Replacing t with x
g(x) = sinh^-1 ( ln(7x^6 +3) / sqrt( 8+cot( x^( 3+x))))
Answer:
$500
Step-by-step explanation:
We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.
<u>Second Discount</u>
20% off means we paid 80%. We know we paid $328 of some price.
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 80.
The price after the first discount was $410.
<u>First Discount</u>
We will repeat the steps above with $410. 18% off means we paid 82%.
I can now cross-multiply by multiplying numerator and denominator from each ratio.
I now solve for y by dividing by 82.
The original price was $500.
