Hola me pueden ayudar con esto porfa urgente 1. obtenga una ecuación de la recta tangente a la grafica de:

f(x) = 4 - x² que sea paralela a la recta 2x + y - 5. ilustre gráficamente.

2. halle los valores de α pertenecientes al intervalo abierto (π/2, 3π/2) tales que la recta tangente a la grafica de f(x) = sen x en el punto (α, f(α)) sea paralela a la recta x + 2y + 2=0. ilustre gráficamente.

3. halle el punto sobre la grafica de f(x) = x²-2x + 3 donde la recta normal sea paralela a la recta x + 4y = 4. ilustre gráficamente.

porfa lo necesito urgente

Math each whole number with a rational, exponential expression

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

If mary had 320 toy cars and she gave her friend 50 cars and then she gave her brother 72 more cars how much toy cars would mary have left ● explain with proper details