Provide exact answers to the following, except when otherwise noted. (Recall that x = √ 2 is an exact solution to the equation x 2 = 2, while x = 1.414213562 is an approximate solution, and that you will not have access to calculators on exams.) 1. For what values of p does the series X[infinity] n=1 ln n np converge? 2. Show that if an ≥ 0 and X[infinity] n=1 an converges, that X[infinity] n=1 (an) 2 does too. 3. Show that if an ≥ 0 and X[infinity] n=1 an converges, that X[infinity] n=1 ln(1 + an) does too. 4. Show that if an ≥ 0 and X[infinity] n=1 an converges, that X[infinity] n=1 sin(an) does too.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

hit or miss i guess they never miss huh

step-by-step explanation:

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the answer for your question is

step-by-step explanation: