y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x
S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx
so our f(x) is 2π y √( 1 + (dy/dx) ^2)
(b - a) / n = / 3 = (3-1) / 30 = 1/15
x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3
So we have , using Simpsons rule:-
S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )
= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )
( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)
so we have S(10)
= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +
Answer:
The Correct option is C. Addition Property of Equality.
For above Equation by Elimination we use
Addition Property of equality
Step-by-step explanation:
Given:
Addition Property of Equality :
The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Here equation is given as
3x + 4y = 38
+ 5x - 4y = -30
-------------------------------------
8x = 8
------------------------------------
Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.
For above Equation by Elimination we use
Addition Property of equality
3.3333333 repeating
Take 10 and divide it by 3
A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.
yes it will be you are just rearranging the answer the numbers and signs are still the same
