Advanced Placement (AP), 04.11.2020 06:00 ajbrock1004

The antecedent of "it" (paragraph 2, sentence 3) is A. "what we say"
B. "a great battle field"
C. "[t]he brave men"
D. "our poor power"
E. "the unfinished work"

Answers: 2

Show answers

Answers

Answer from: Quest

Answer dispose of it in accordance with federal , state, and local requirements;

Answer from: Quest

Answer: the interval on which the curve is concave up is (-∞, -1/2)====== $\displaystyle y = \int_{0}^x \frac{1}{1 + t + t^2} \; dt$ we find the interval where this curve is concave up by finding the interval in which the 2nd derivative is positive.differentiate the curve equation with respect to x $\begin{aligned} \frac{dy}{dx} & = \frac{d}{dx} \int_{0}^x \frac{1}{1 + t + t^2} \; dt \end{aligned}$ let the function f denote be the anti-derivative of the inside expression, i.e. a function such that $(d/dx)f(x) = 1/(1 + t + t^2)$ .then use the fundamental theorem of calculus: $\begin{aligned} \frac{dy}{dx} & = \frac{d}{dx} \int_{0}^x \frac{1}{1 + t + t^2} \; dt \\& = \frac{d}{dx} \big[ f(x) - f(0) \big] & & \text{\footnotesize apply ftc} \\ & = \frac{d}{dx}f(x) - 0 \\ & = \frac{1}{x + x + x^2} & & \text{\footnotesize since $\frac{d}{dx}f(x) = \frac{1}{1 + x + x^2}$ } \end{aligned}$ differentiate again to get second derivative. we can use chain rule with 1/x as the outside function and 1 + x + x² as the inside function $\begin{aligned} \frac{d}{dx} \left( \frac{dy}{dx} \right) & = \frac{d}{dx}\left(\frac{1}{1 + x + x^2} \right) \\ \frac{d^2y}{dx^2} & = \frac{-1}{\left(1 + x + x^2\right)^2} \cdot \tfrac{d}{dx}(1 + x + x^2) \\ & = \frac{-1}{\left(1 + x + x^2\right)^2} \cdot (1 + 2x) \\ & = \frac{-(1 + 2x)}{\left(1 + x + x^2\right)^2} \end{aligned}$ find critical numbers of the second derivative. these numbers are where the 2nd deriv. is undefined or zero.where the 2nd derivative is zero: set (d²y/dx²) to equal 0 and solve for x $\begin{aligned} 0 & = \frac{-(1 + 2x)}{\left(1 + x + x^2\right)^2} \\ 0 & = -(1+2x) \\ -1 & = 2x \\ x & = -1/2 \end{aligned}$ where the 2nd derivative is undefined: if the denominator is equal to zero, the derivative will be undefeined. attempting to solve the equation 1 + x + x² = 0results in a discriminant of $b^2 - 4ac = 1^2 - 4(1)(1) = -3$ meaning that the equal 1 + x + x² = 0 has no real solutions and therefore will never equal zero.======our only critical number is x = -1/2.this forms two intervals to test the sign for: (-∞, -1/2) and (-1/2, ∞)test values into the 2nd derivative for (-∞, -1/2)if we try x = -1, we get $\begin{aligned} \left.\frac{d^2y}{dx^2}\right|_{x = -1} & = \frac{-(1+2(-1))}{\left(1+(-1)+(-1)^2\right)^2} \\ & = \frac{-(1-2)}{1} \\ & = 1 \end{aligned}$ so the since the 2nd derivative of the curve is positive on the interval (-∞, -1/2), the curve is concave up on (-∞, -1/2)test values into the 2nd derivative for (-1/2, ∞)if we try x = 0, we get $\begin{aligned} \left.\frac{d^2y}{dx^2}\right|_{x = 0} & = \frac{-(1+2(0))}{\left(1+(0)+(0)^2\right)^2} \\ & = \frac{-(1)}{1} \\ & = -1 \end{aligned}$ so the since the 2nd derivative of the curve is positive on the interval (-∞, -1/2), the curve is concave down on (-∞, -1/2).the interval on which the curve is concave up is (-∞, -1/2)

Answer from: Quest

i would imagine your answer to be b.

i'm not could be wrong.

(also for future reference, their is an 'arts' category. : )

Answer from: Quest

It was good because i had tacos : )

Another question on Advanced Placement (AP)

Advanced Placement (AP), 22.06.2019 10:00

Where is a cemetery least likely to be found? a large hindu village on a major river a small christian farming village a city with a large jewish population a religiously mixed cosmopolitan city a majority muslim trading center

Answers: 3

Answer

Advanced Placement (AP), 24.06.2019 07:40

Type the correct answer in each box. use = 3.14 and if necessary, round your answers to the nearest hundredth. the area of the largest cross section of a sphere and the circumference of the sphere are in the ratio 4: 1. cm. the area of the largest cross section is about the radius of the sphere is cm. the circumference of the sphere is about cm2. the volume of the sphere is about cm?

Answers: 1

Answer

Advanced Placement (AP), 25.06.2019 03:00

Secondary school falls between a . kindergarten & elementary b. elementary school & post secondary school c. post secondary school & higher education d. middle school & high school

Answers: 1

Answer

Advanced Placement (AP), 25.06.2019 11:50

Some studies have found that what percentage of students have cheated in some form? a. 10% b. 25% c. 45% d. 75%

Answers: 2

Answer

You know the right answer?

The antecedent of "it" (paragraph 2, sentence 3) is A. "what we say"
B. "a great battle field...

Questions