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Darshan Maheshwari verified

Numerade educator

In Exercises $7-12,$ find the horizontal tangents of the curve. $$y=x^{3}-2 x^{2}+x+1$$

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Let $C$ be the function whose graph is given in the next column. This graph represents the cost $C$ of manufacturing $q$ computers in a day. (a) Determine $C(0)$. Interpret this value. (b) Determine $C(10)$. Interpret this value. (c) Determine $C(50)$. Interpret this value. (d) What is the domain of $C ?$ What does this domain imply in terms of daily production? (e) Describe the shape of the graph. (f) The point $(30,32000)$ is called an inflection point. Describe the behavior of the graph around the inflection point.

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Darshan Maheshwari verified

Numerade educator

Given the function $g(x)=x^{2}+2 x,$ evaluate $\frac{g(x)-g(a)}{x-a}, x \neq a$

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Draw the organic products formed in each reaction.

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If you are performing a break-even analysis for a business and their cost and revenue equations are dependent, explain what this means for the company's profit margins.

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Linda Winkler verified

Numerade educator

A sinusoidal electromagnetic wave is propagating in vacuum in the $+ z$ -direction. If at a particular instant and at a certain point in space the electric field is in the $+ x$ -direction and has magnitude $4.00 mathrm { V } / mathrm { m } ,$ what are the magnitude and direction of the magnetic field of the wave at this same point in space and instant in time?

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Cassondra Giffin verified

Numerade educator

Draw two constitutional isomers of cis-1,2-dibromocyclopentane.

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Newton's Law of Cooling. Newton's law of cooling states that the rate of change in the temperature $T(t)$ of a body is proportional to the difference between the temperature of the medium $M(t)$ and the temperature of the body. That is, $$\frac{d T}{d t}=K[M(t)-T(t)]$$ where $K$ is a constant. Let $K=0.04(\mathrm{min})^{-1}$ and the temperature of the medium be constant, $M(t)=293$ kelvins. If the body is initially at 360 kelvins, use Euler's method with $h=3.0$ min to approximate the temperature of the body after (a) 30 minutes. (b) 60 minutes.

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Bryce Werts verified

Numerade educator

State whether each of the following statements is true or false. Justify your answer in each case. (a) $\mathrm{NH}_{3}$ contains no $\mathrm{OH}^{-}$ ions, and yet its aqueous solutions are basic. (b) HF is a strong acid. (c) Although sulfuric acid is a strong electrolyte, an aqueous solution of $\mathrm{H}_{2} \mathrm{SO}_{4}$ contains more $\mathrm{HSO}_{4}^{-}$ -ions than $\mathrm{SO}_{4}^{2-}$ ions.

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ANSWERED

Linda Winkler verified

Numerade educator

At $t =$ 0 the current to a dc electric motor is reversed, resulting in an angular displacement of the motor shaft given by $\theta(t) =$ (250 rad/s)$t -$ (20.0 rad/s$^2$)$t^2 -$ (1.50 rad/s$^3$)$t^3$. (a) At what time is the angular velocity of the motor shaft zero? (b) Calculate the angular acceleration at the instant that the motor shaft has zero angular velocity. (c) How many revolutions does the motor shaft turn through between the time when the current is reversed and the instant when the angular velocity is zero? (d) How fast was the motor shaft rotating at $t =$ 0, when the current was reversed? (e) Calculate the average angular velocity for the time period from $t =$ 0 to the time calculated in part (a).

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