Answer: 9.72
To make it easier you first remove( imagine)there is no decimal point. Then u multiply the number which is 4 through all the digits to get 972.
But u are not done yet because u have forgotten the decimal point. To know where to put the decimal point u have to count the number of places it was in order to know where to place it.
So it was 2 decimal places,so we count it and place it there to get 9.72
Answer:
f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)
Step-by-step explanation:
f(x) = eˣ
Expand using first Taylor Polynomial based around b = 0
The Taylor's expansion based around any point b, is given by the infinite series
f(x) = f(b) + xf'(b) + (x²/2!)f"(b) + (x³/3!)f'''(b) + ....= Σ (xⁿfⁿ(b)/n!) (Summation from n = 0 to n = ∞)
Note: f'(x) = (df/dx)
So, expanding f(x) = eˣ based at b=0
f'(x) = eˣ
f"(x) = eˣ
fⁿ(x) = eˣ
And e⁰ = 1
f(x) = 1 + x + (x²/2!) + (x³/3!) + ....... = Σ (xⁿ/n!) (Summation from n = 0 to n = ∞)
So you’re going from -16° to 7°. think of the equation as 16+7. you get 23. if the numbers go from a negative to a positive, the sun will be positive. so you’re answer is 23.
We are asked to evaluate dx/dy of the function x^2y+xy^2=6
we use implicit differentiation here:
2xy dx + 2xy dy = 0we can cancel 2xy from both terms in the left-hand side such that what is left is dx/dy = 0
