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JUICE flight model solar panel
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Date: 22 July 2020Satellite: JUICE
Location: Leonardo premises, Nerviano, near Milan, Italy
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Copyright: Leonardo
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A JUICE flight model solar panel at Leonardo premises near Milan, Italy. At Leonardo the array of 2356 solar cells was manufactured and mounted on the carbon fibre re-enforced panel. Ten of these panels, each measuring about 2.5m × 3.5m, will together make up JUICE's two solar wings with a combined area of about 85 m².
Last Update: 16 October 2020
23-Oct-2020 13:22 UT
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https://sci.esa.int/s/wK0KzVW
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How do you differentiate #f(x) =(x^2+1) (x+2)^2 (x-3)^3# using the product rule?
2 Answers
First, split off your separate expressions into sub-functions.
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Let #y=t*u*v#
where#t=x^2+1# , #u=(x+2)^2# , and #v=(x-3)^3#
where
Then #dt/dx = 2x# .
By the chain rule, #(dv)/dx = 3(x-3)^2# .
Dx X 1 X 3 1 2
The product rule for three terms states:
If #y=t*u*v# , and #y# is a function of #x# .
Then #dy/dx = dt/dx*u*v + (du)/dx*t*v + (dv)/dx*t*u# .
So, #dy/dx = # #2x*(x+2)^2*(x-3)^3+2(x^2+1)*(x-3)^3*(x+2)+3(x^2 + 1)*(x+2)^2*(x-3)^3#
Which when you go through the painful process of expansion and simplification, yields:
Explanation:
We have:
We can utilise the triple product ##rule, a direct extension of the standard product rule for differentiation:
and we will also require the chain rule:
Applying the triple product## rule we get: Soundspot kickbox 1 0 2a download free.
We can readily simplify as there is a common factor of #(x+2)(x-3)^2# :