Answer:
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
Step-by-step explanation:
we need to break this up using the chain rule
(3x⁴+2)=u
so we have
So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)
which is 12x³
we now need to take the derivative of u⁵=5u⁴
Mulitply these together
60x³u⁴=60x³(3x⁴+2)⁴
do the same thing again
60x³u⁴
we now need to do the mulitplication rleu
(60x³)'(u⁴)+(60x³)(u⁴)'
=
180x²u⁴+60x³*4u³
simplify
180x²(3x⁴+2)⁴+240x³(3x⁴+2)³
while you could do more to simplify it, it would get really messy
The answer is 825
*Substituted formula is*
30 x (10 + 15) + 5 x 5/2 x 2 + 5 x (30 -(5 x 2)
Answer:
A cos C = 12/13
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos C = BC/AC
But we don't know BC, but we can find it using the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +BC^2 = 13^2
25 + BC ^2 =169
Subtract 25 from each side
BC^2 = 169-25
BC ^2 = 144
Taking the square root of each side
BC =12
cos C = 12/13
Answer:
y=2x+7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Well the square root of 16 can be simplified to 4, which can be represented as a fraction: 4/1, so it's not irrational, but rather rational.
Whole numbers are similar to integers, and natural numbers, the only difference is integers includes all real numbers, which do not have a decimal value. So this includes negative numbers, zero, and positive numbers.
Whole numbers include all real numbers, which do not have a decimal value, and are greater than or equal to zero, or in other words, not negative.
Natural numbers include all real numbers, which do not have a decimal value, and are greater than zero, or in other words, positive numbers.
So this number is a integer, and rational number. (since the negative number in front of the radical)
