The number of fish swimming upstream to spawn is approximated by the function given below, where \( x \) represents the temperature of the water in degrees Celsius. Find the temperature that produces the maximum number of fish swimming upstream. \( F(x)=-x^{3}+10.5 x^{2}+234 x+4801,4 \leq x \leq 20 \)

3. Encuentra la primera derivada por fórmula general. \( f(x)=3 x^{2}+11 x-8 \) \( f^{\prime}(x)=\lim _{h \rightarrow 0} \frac{f(x+h)-f(x)}{h} \)

El número de formas diferentes que se puede resolver una integral doble, cuando los limites de integración de cada integral son constantes es: a. 1 b. 4 c. 3 d. 2

1. Calcule la dorivada de les sisuiantos tunci a). \( f(x)=\left(3 x-x^{3}\right)^{100} \)

Al resolver la integral doble \( \int_{1}^{2} \int_{1-x}^{\sqrt{x}} x^{2} y d y d x \) obtenemos: a. 402 b. 170 c. 170 d. \( 163 / 120 \)

Consider the parametric curve \( x=\cos \theta \) and \( y=\sin \theta \). Determine whether this curve is concave up, down, or neither at \( \theta=\frac{\pi}{6} \) A) upward B) downward C) neither D) All answers a b