Question 65 (4 points) When temperature is 0 Celsius, the Fahrenheit temperature is \( 32^{\circ} \). When the Celsius temperature is 100 , the corresponding Fahrenheit temperature is \( 212^{\circ} \). Suppose you are living in Morocco and recipe you brought with you from the US is in Farenheit but the oven in your apartment is measured in Celsius. If you're suppose to bake your dish at \( 400^{\circ} \) what Celsius temperature should the stove be set? (Round to the nearest integer.)

Without graphing, determine whether the following equation has a graph that is symmetric with rest \( y=-10 x^{3}+x \) Select all that apply. \( \square \) A. \( x \)-axis \( \square \) B. origin \( \square \) C. \( y \)-axis \( \square \) D. none of these

For the following alternating series, \( \sum_{n=1}^{\infty} a_{n}=1-\frac{(0.45)^{2}}{2!}+\frac{(0.45)^{4}}{4!}-\frac{(0.45)^{6}}{6!}+\frac{(0.45)^{8}}{8!}-\ldots \) how many terms do you have to go for your approximation (your partial sum) to be within 0.0000001 from the convergent value of that series?

3) Calcular las fórmulas completas de las funciones \( f(x) \) y \( g(x) \), a partir de los datos suministrados a continuación: a) \( f^{\prime}(x)=\frac{10 x}{\sqrt{3 x^{2}+1}} \) b) \( g^{\prime}(x)=(4 x-11)^{2} \cdot \ln (4 x-11) \quad \) y \( \quad(4)=23 \)

Pulley 1 and 2 are the same size, and each have a diameter of 180 mm . Pulley 4 has a diameter of 420 mm . Pulley 5 has a diameter 180 mm and pulley 6 has a diameter of 60 mm . Pulley 1 is driven by an electric motor at a speed of 2400 rpm . The desired output speed of pulley 6 is \( 60 \mathrm{rad} / \mathrm{s} \). Calculate the size (diameter) in mm that pulley 3 needs to be in order to achieve this. ANSWER MUST BE IN MILLIMETERS (Do not include mm in your answer) I

5) Dans cette question, \( A=\left\{\frac{1}{1+x^{2}} / x \in \mathbb{R}\right\} \). Montrer que \( A \) admet une borne supérieure et une borne inférieure que l'on déterminera.