Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage V across its terminals and that, if t is measured in seconds, dV/dt = -V/40. Solve this equation for V, using V_0 to denote the value of V when t = 0. How long will it take the voltage to drop to 10% of its original value?

When discharging a capacitor, how long does it take for the voltage on the capacitor to reach zero? Is this a problem?

Write the decimal as a fraction or a mixed number.

$$- 1 . \overline { 63 }$$

Suppose that electricity is draining from a capacitor at a rate proportional to the voltage V across its terminals and that, if t is measured in seconds, dV/dt = - 1/40 v. How long will it take the voltage to drop to 10% of its original value?

A function f has derivative

$$f ^ { \prime } ( x ) = \frac { 1 } { x ^ { 4 } + 1 }.$$

Where on the interval [1, 4] does f take on its maximum value?

State the instructions of the function in words. R(r) = 3(2r + 5)

If the voltage across a flashlight bulb is 3 V and the bulb's resistance is 6$\Omega$, what is the current through the bulb?

Solve equation $s-5=3$ and check your answer.

Find the exact value of each of the remaining trigonometric functions. $\csc \theta=-4,\ \pi<\theta<\frac{3 \pi}{2}$

Simplify. Then write a word problem involving the given numbers and operation.

$$\$ 64.32 \div 16$$

Hay que buscar ayuda para la fiesta de fin de año de tu clase. ¿Qué pregunta el presidente de la clase en la reunión? 1.desear ser el anfitrión (la anfitriona) 2.conocer a un disc jockey 3.saber bailar salsa. 4.cocinar comida puertorriqueña

Answer with “converges,” “diverges” or “can’t tell.” If $\lim _{k \rightarrow \infty} a_{k}=1$, then $\sum_{k=1}^{\infty} a_{k}$ ____.

Multiply.

$$35.15\times3.7$$

newton's law of cooling states that the temperature of an object changes at a rate proportional