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11:32 83 A2 paper 2 Further... Q8 Given that $ y $ is a function of $ x $ and that $ x=\mathrm{e}^{u} $, show that \[ x \frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{\mathrm{d} y}{\mathrm{~d} u} \quad \text { and } \quad x^{2} \frac{\mathrm{d}^{2} y}{\mathrm{dx} x^{2}}=\frac{\mathrm{d}^{2} y}{\mathrm{~d} u^{2}}-\frac{\mathrm{d} y}{\mathrm{~d} u} \text {. } \] Given also that \[ x^{2} \frac{\mathrm{d}^{2} y}{\mathrm{~d} x^{2}}+3 x \frac{\mathrm{d} y}{\mathrm{~d} x}+17 y=34 \ln x+21, \] deduce that \[ \frac{\mathrm{d}^{2} y}{\mathrm{~d} u^{2}}+2 \frac{\mathrm{d} y}{\mathrm{~d} u}+17 y=34 u+21 \] Find $ y $ in terms of $ x $ given that $ y=0 $ and $ \frac{d y}{d x}=-1 $ when $ x=1 $. [3+2+6] $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ 19 \mid $ Page $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $ $ 2 / 3 $ $ \qquad $ $ \qquad $ $ \qquad $ $ \qquad $

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Question 7 of 15, Step 1 of 1 A certain theatre is shaped so that the first row has 29 seats and, moving towards the back, each successive row has 2 seats more than the previous row. If the last row contains 107 seats and the total number of seats in the theatre is 2720, how many rows are there?

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Use The Fundamental Theorem of Calculus, Part 2 to evaluate $\int_1^{16} \frac{1}{x^{1/4}} dx$.

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Arterial Po 1 Production of non-CO, acids Arterial Poo Brain extracellular fluid Pco, 1 Arterial [H] 1 Brain extracellular fluid [H'] Peripheral chemoreceptors Firing Central chemoreceptors Firing HHHI 1 Firing of neurons to diaphragm and inspiratory intercostals Diaphragm and inspiratory Intercostals Contractions Firing of medullary Inspiratory neurons Ventilation The figure above shows a reflex arc involving negative feedback. Which of the following would occur in response to increased ventilation? (Select all that apply.) Increased arterial H+ concentration Decreased arterial P02 Increased arterial P02 Decreased arterial PCO2

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Simplify the expression. Include the restrictions on the variable.\\ \frac{x^2 - 8x - 20}{3x^2 + 6x} \div \frac{x^2 - 7x - 30}{x^2 - 9}

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Use the definition of logarithm to simplify each expression. (a) logâ‚â‚€10

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Determine the Fourier series of the following ramp signal. y(x) W A x

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The breakdown of antipodals would result in a seed without a seed coat. would produce an ovule with no egg cell. would cause a failure in endosperm development. is a normal part of development in the ovule.

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Question 14 of 25 View Policies Current Attempt in Progress What is the proper adjusting entry at June 30, the end of the fiscal year, based on a prepaid insurance account balance before adjustment, $18470, and unexpired amounts per analysis of policies of $6110? Debit Insurance Expense, $12360; Credit Prepaid Insurance, $12360. Debit Insurance Expense, $6110; Credit Prepaid Insurance, $6110. Debit Insurance Expense, $18470; Credit Prepaid Insurance, $18470. Debit Prepaid Insurance, $12360; Credit Insurance Expense, $12360.

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QUESTION 7 Which nutrient has the greatest influence on blood glucose levels? A. carbohydrate B. fat C. calcium D. protein QUESTION 8 A diet order that means "nothing by mouth" is A. NPO B. DNR C. ADA D. ONTTR QUESTION 9 A diet that is appropriate for prevention and treatment of diverticulosis is A. High in fiber B. Lactose free C. High protein D. Low in fiber

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