Answer:
1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x
Step-by-step explanation:
f(x) = sin (tan^-1 (ln(x)))
u substitution
d/du (sin u) * du /dx
cos (u) * du/dx
Let u =(tan^-1 (ln(x))) du/dx =d/dx (tan^-1 (ln(x)))
v substitution
Let v = ln x dv/dx = 1/x
d/dv (tan ^-1 v) dv/dx
1/( v^2+1) * dv/dx
=1/(ln^2x +1) * 1/x
Substituting this back in for du/dx
cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x
We know that cos (tan^-1 (a)) = 1/ sqrt(1+a^2)
cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x
1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x
Answer: 21 divided by 1766
Step-by-step explanation:
just try to remove the decimal points which mean 0.21 to 21 and 17.66 to 1766
Answer: 5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.
Step-by-step explanation:
Given: Large cheese pizzas cost $5 each and large pepperoni pizzas cost $6 each.
The expression 5c+6p models the total cost of large cheese pizzas.
here c represents Number of large cheese pizzas and p represents number of large pepperoni pizzas such that
5c represents the cost of 'c' large cheese pizzas and 6p represents the cost of 'p' large pepperoni pizzas.
[Total cost = Cost of each item x Number of items ]
-18 +(-29) = -47 + (-10) = -57
-24 + (-16) = -40 + (-28) = -68 +(-19) = -87
-151 - 253 = -404 - 34 = -438 - 17 = -455
:)
Answer:
y = 5/3 = 1.667
Step-by-step explanation:
Simplifying
5y + 4 + -2y = 9
Reorder
4 + 5y + -2y = 9
Solving
4 + 3y = 9
Solving for y:
Add -4 to each side of the equation.
4 + -4 + 3y = 9 + -4
Combine like terms.
4 + -4 = 0
0 + 3y = 9 + -4
3y = 9 + -4
Combine like terms.
9 + -4 = 5
3y = 5
Divide each side by 3
y = 1.666666667
