Answer:
a. ∫ xSinx dx
iii. integration by parts
u =x and dv= sinx
b. ∫ x⁴/(1+x³). dx
ii. neither
Long division is an option here before integration is done
c. ∫ x⁴. e^x³. dx
i. substitution
where u = x⁵
d. ∫x⁴ cos(x⁵). dx
i. substitution
where u = x⁵
e. ∫1/√9x+1 .dx
i. substitution
where u = 9x+1
Answer:
Cada garrafa tiene una capacidad de 24 litros.
Step-by-step explanation:
Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.
Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:
(20%/100%)*V
Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:
(30%/100%)*V
El volumen total de agua es la suma de esos dos volúmenes, que nos da:
(20%/100%)*V + (30%/100%)*V
Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:
12 L = (20%/100%)*V + (30%/100%)*V
Ahora podemos resolver esto para V.
12L = 0.2*V + 0.3*V
12L = 0.5*V
12L/0.5 = V
24L = V
Cada garrafa tiene una capacidad de 24 litros.
The least common multiple can be found a couple of ways. For this, it is probably easiest to identify the unique factors of each expression.
(6x -18) = 6(x -3) = 2*3*(x -3)
(2x² -6x) = 2x(x -3)
Then the unique factors are 2, 3, x, (x -3). Their product is the LCM:
LCM = 6x(x -3) = 6x² -18x
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If one or more of the factors is raised to a power other than 1, use the highest power of that factor in the final product.
Answer:
Step-by-step explanation:
There are solutions on the internet. Just google it. We are not allowed to give you a link, but if you put in "solutions to rubic's cube", the first one that comes up is pretty good.
Answer:
Step-by-step explanation: It you start by getting rid of the 1/2x+1/2x it makes x=x/1. X/1 is x so x=x. X can be anything!
