Numerade

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Use calculus to find the absolute minimum and maximum values of the function. f(x) = ex7 − x, −1 ≤ x ≤ 0

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$H_3CO$ $OCH_3$ $H_2O$ (excess) $H_2SO_4$ $O$ $+ 2 CH_3OH$ An acetal (19-14)

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The annual output and prices of a three-good economy are shown in the table below. Good Price Year 1 Quantity of Goods Year 1 Price Year 2 Quantity of Goods Year 2 Quarts of ice cream $5 3 $5 5 Bottles of shampoo $4 1 $4 2 Jars of peanut butter $3 3 $3 2 Instructions: Enter your answers as a whole number. a. What was the economy's nominal GDP in year 1? $ b. What was its nominal GDP in year 2? $

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While rummaging through the attic, you discover a savings account left to you by a relative. When you were 5 years old, he invested R200 000 in your name at 6% interest compounded semi-annually. If you are now 20 years old, how much is the account worth?

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A wheel with radius 40 cm is rotating at a rate of 13 rev/s. Part 1 Your answer is incorrect. (a) What is the angular speed in radians per second? rad/s Save for Later Attempts: 1 of 10 used Submit Answer Part 2 (b) In a time interval of 8 s, what is the angle in radians through which the wheel rotates?

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Individual Problems 6-1 Huiying has been selling 8,000 T-shirts per month for $7.00. When she increased the price to $9.00, she sold only 5,000 T-shirts. Which of the following best approximates the price elasticity of demand? -1.8462 -2.2154 -1.6615 -2.0308 Suppose Huiying's marginal cost is $2 per shirt. Huiying's desired markup is Before the price change, Huiying's initial price markup over marginal cost was approximately Since Huiying's initial markup, or actual margin, was than her desired margin, raising the price was

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$P_z = P_0 \sin \frac{\pi x}{a}$

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1. Enolization of carbonyl compounds is catalyzed by both acids and bases. Examine the enolization reactions below and: a) Show by means of reaction mechanisms how acids and bases enolize carbonyl compounds (Show the products). b) What is the generic name for compounds such as I)? c) What is the generic name for compounds such as II)? NaH 1) HBr II)

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1. Using the vectors $\mathbf{u} = \begin{bmatrix} -2\\0\\10 \end{bmatrix}$ and $\mathbf{v} = \begin{bmatrix} 36\\10\\\pi \end{bmatrix}$ find $\mathbf{u} + 5\mathbf{v}$.

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Part 3: Solve the non-homogeneous equation y'' - 4y' - 12y = e-2x has general solution (remember to use the format I gave you in your correct answer to the complementary functions above) ae-2x + be6x - \frac{1}{8}xe-2x Now that we have the general solution solve the IVP y(0) = 7 y'(0) = 1 Here is a graph of the solution to the IVP

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rebecca j.