zayboogey04
18.02.2020 •
Mathematics
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Ответ:
C) 5 sin⁻¹(x − 1) + C
Step-by-step explanation:
∫ 10 / √(8x − 4x²) dx
Simplify.
∫ 5 / √(2x − x²) dx
Complete the square.
∫ 5 / √(-(x² − 2x) dx
∫ 5 / √(-(x² − 2x + 1 − 1) dx
∫ 5 / √(-(x² − 2x + 1) + 1) dx
∫ 5 / √(-(x − 1)² + 1) dx
∫ 5 / √(1 − (x − 1)²) dx
Integrate using a table.
5 sin⁻¹(x − 1) + C
Ответ:
40m³
Step-by-step Explanation:
==>Given:
Base of Area rectangular prism (B) = 8m² (this is usually length of the base multiplied by the width)
Height (h) = 5m
==>Required:
Volume of the rectangular prism
==>Using the formula B*h, we can find the volume of the rectangular prism as follows:
Volume = Base Area (B)*height (h)
Volume = 8*5
Volume of rectangular prism = 40m³