Numerade

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2 [5] 3. Use the limit definition of the derivative to prove that $[\cos(x)]' = -\sin(x)$. You may use the angle addition formula $\cos(a+b) = \cos(a)\cos(b) - \sin(a)\sin(b)$.

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The rate of formation of C in the reaction 2 A + B → 2 C + 3 D is 2.7 moldm−3 s −1. State the reaction rate, and the rates of formation or consumption of A, B, and D.

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The rate constant for a particular second-order reaction is 47L moll. If the initial concentration of reactant is 25M, it takes 5 for the concentration to decrease to .13 M.

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Consider the circle with the equation (x-3)^(2)+(y-5)^(2)=49 Its center is and its radius is r= Hint: The circle with radius r and center (x_(c),y_(c)) is the set of all points that are at a distance r from the center. It is the graph of the equation (x-x_(c))^(2)+(y-y_(c))^(2)=r^(2) Consider the circle with the eguation (x -3)2+(y - 5)2= 49. Its center is and its radius is= (x -xc)2+(y-yc)2=r2.

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Applications of Planes in Space Find a plane containing the point (-1, 2, -1) and the line of intersection of the planes x - 2y + z = -19 and 3x - 3y + 2z = -27. The equation of the plane is:

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Economists generally believe that pollution: Question 9 Select one: a. Should be zero b. Should be ignored in decision-making c. Means no by-products from production d. Abatement should be maximized e. None of the above

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If a regression equation is equal to y = 0 .17 + 0.42 x + e, which of the following is TRUE? A. It is measured on two variables, each measured on a interval or ratio scale. B. It is measured on two variables that are measured in the same units. C. It is measured on two variables at the ordinal scale or above. D. It is measured on two variables that have the same mean.

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Compare and contrast the key responsibilities of a Certified Public Accountant (CPA) and Certified Fraud Examiner (CFE) when examining a company's financial results. Describe the different ethical standards a CPA and a CFE would apply in a hypothetical financial examination scenario. Discuss the ways in which you anticipate using what you have learned in this course, and identify the ways in which you can benefit from the concepts you have learned in this course in your future career and in your personal life. Evaluate the importance of ethics in accounting. Explain why accounting is important for business.

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Problem 5: A steel spring of 15 cm long is set up vertically and placed in a tank filled with water. A 2 kg weight is attached to the bottom of the spring, which stretches it to 25 cm in total length. Say that this system is critically damped. If the mass is initially pulled down 5 cm below the equilibrium position and given an initial downward velocity of 10 cm/s, determine its position at any time $t > 0$.

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Given $B = \begin{bmatrix} -2 & 4\\ 2 & 1 \end{bmatrix}$ and $C = \begin{bmatrix} -6 & 20\\ -10 & -7 \end{bmatrix}$ \\ Solve $4X + B = C$ \\ $X = \begin{bmatrix} \\\\\ \end{bmatrix}$

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susan m.