Answer:
1 AD 6
Step-by-step explanation:
Alan is writing out the steps using the "shortest Route Algorithm". On the second step, he just circled the route ABD as the shortest route from A to D. What should he cross out next?
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(NewJack931) Ambitious
Answer:
in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)
Step-by-step explanation:
in this case, 10 divided by 1/2 turns to 10 x 2/1
i tried my best, sorry if i couldnt help
Answer:
B - StartFraction 78 minus 87 over 8 minus 2
Answer: <u>6</u>54,<u>9</u>87
6 is in the hundred thosuands place (# followed by 5 digits)
9 is in the hundreds place (# followed by 2 digits)
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!