Answer:
The first and third options are correct so choose both
Step-by-step explanation:
Answer:
x = 12
Step-by-step explanation:
5x - 30 = 2x + 6
3x = 36
x = 12
Answer:
Correct integral, third graph
Step-by-step explanation:
Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.
Given : ∫ tan²(θ)sec²(θ)dθ
Applying u-substitution : u = tan(θ),
=> ∫ u²du
Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1
Substitute back u = tan(θ) : tan^2+1(θ)/2+1
Simplify : 1/3tan³(θ)
Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.
Answer:
100*x + 14*y
Step-by-step explanation:
Tenemos que en el sistema decimal un número de 3 cifras se representa de este modo:
100*x + 10*y + z
También es llamado descomposición polinómica y de esta manera podremos encontrar la expresión algebraica.
Nos dicen la relación entre unidades y decenas, 4 veces mayor las unidades que las decenas, por lo tanto:
z = 4*y
Reemplazamos y nos queda:
100*x + 10*y + 4*y
reduciendo nos queda:
100*x + 14*y
Por lo tanto esta sería la expresión algebraica.