En un experimento de laboratorio, un investigador ostá analizando la relación entre la concentración de un reactivo y el volumen de una sustancia que se produce durante una reacción quimica. La cantidad de sustancia producida P en función del volumen V de reactivo utilizado se puede modelar mediante la siguiente ecuación: \[ P=\int 6 x\left(3 x^{2}+2\right)^{4} d x \] donde x representa el volumen del reactivo en litros. El investigador necesita determinar la cantidad total de sustancia producida al utilizar un volumen de reactivo que varia entre 0 y un cierto limite a. ¿Cuál es el resultado de la integral?

Which of the following will read values from the keyboard into the array? (Assume the size of the array is SIZE.) for(int i=0;i> array[i]; cin >> array[SIZE]; cin >> array[];

Example calculations for exam revision 1. If it took a runner 40 minutes to run 10 km , his average velocity is __ \( \mathrm{m} / \mathrm{s} \),

Solve the following ratio problems. a The required staff to student ratio for an excursion is \( 2: 15 \). If 10 teachers attend the excur what is the maximum number of students who can attend? b The ratio of commercials to actual show time for a particular TV channel is \( 2: 3 \). How mar minutes of actual show were there in 1 hour? c A rectangle has length and width dimensions in a ratio of \( 3: 1 \). If a particular rectangle has

draw the following function \( y=3 x+4 \)

Done \( \quad \) myopenmath.com A baseball team plays in a stadium that holds 52000 spectators. With the ticket price at \( \$ 12 \) the average attendance has been 20000 . When the price dropped to \( \$ 10 \), the average attendance rose to 26000 . Find a demand function \( D(q) \), where \( q \) is the quantity/number of the spectators. (Assume \( D(q) \) is linear) \( D(q)=\square \) (For best results, keep answers in fraction form, not decimals)