Answer:
Step-by-step explanation:
Volume = 
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
Answer:
The correct answer is B. (1,0).
Answer:
c ≈ 21
Step-by-step explanation:
By applying cosine rule in the given triangle ABC,
c² = a² + b² - 2abcos(C)
c² = (17)² + (10)² - 2(17)(10)cos(98.8°)
c² = 289 + 100 - 340(-0.1530)
c² = 441.015
c = 21
c ≈ 21
Answer:
30
Step-by-step explanation:
just becausr
Answer:
8.9 × 10^{4}
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Follow the steps below to see how 89,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 89,000
New Number: 8.9000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 8 . 9 0 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 8.9 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
8.9 x 10^{4}
Step 4
Check your work:
10^{4} = 10,000 x 8.9 = 89,000
