Advanced Placement (AP), 11.06.2021 23:10 ctuek5990

PIKA CHU I DECLARE MEH AS PIKA CH

Answers: 3

Show answers

Answers

Answer from: melodeelathrom

I got commitment issue But I'm tryna' fix that for you I wanna be there for you I knew that the day I saw you

Answer from: hinacat87

uh nice :)

Explanation:

ima go commit now

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

Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, andx = 4 obtained by integrating with respect to y. your work must include the definite integral and theantiderivative.

Other questions on the subject: Advanced Placement (AP)

Advanced Placement (AP), 24.06.2019 16:00, bshreve

Julie’s psychologist her get over her fear of spiders. which goal of psychology has the psychologist met? a. describeb. predictc. controld. explain select the best answer from the choices providedabcd

Answers: 1

continue

Advanced Placement (AP), 26.06.2019 12:00, ambercable3

20 pts i don't really get this xd1. what is the function in humans of the protein produced from that gene2. would you expect to find the same protein in other organisms? if so, which ones? 3. is it possible to find the same gene in two diff. kinds of organisms4. if you found the same gene in all organisms you test, what does this esuggest about the evolution of this gene in the history of life on earth? 5. does the use of dna sequences in the study of evolutionary relationships mean that other characteristics are unimportant in such studies? explain your answer. what am i supposed to do here

Answers: 1

continue

Advanced Placement (AP), 26.06.2019 21:30, sreeytran

54 points human geography in advance

Answers: 1

continue

Advanced Placement (AP), 27.06.2019 03:00, lolhgb9526

Wich of the following is not a receptor pair according to the opponent process theory

Answers: 1

continue

You know the right answer?

PIKA CHU I DECLARE MEH AS PIKA CH...