Numerade

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4.5 Problems Verify the following results from Book 1 of Archimedes' On the Sphere and Cylinder: (a) Proposition 13. The surface area of any right circular cylinder, excluding its bases, is equal to the area of a circle whose radius is the mean proportional between the side of the cylinder and the diameter of the base of the cylinder. (b) Proposition 14. The lateral area of any isosceles cone, excluding the base, is equal to the area of the circle whose radius is the mean proportional between the side of the cone and the radius of the circle that is the base of the cone. (c) Proposition 15. The lateral area of any isosceles cone has the same ratio to the area of its base as the side of the cone has to the radius of the circle that is the base of the cone. (d) Proposition 33. The surface area of any sphere is equal to four times the area of a great circle of the sphere. (c) Proposition 34. The volume of any sphere is equal to four times the volume of the cone whose base equals a great circle of the sphere, and whose height equals the radius of the sphere. Prove that if a sphere is inscribed in a right circular cylinder whose height is equal to the diameter of the sphere, then: (a) The volume of the cylinder is (3)/(2) the volume of the sphere. (b) The surface area of the cylinder, including its bases, is (3)/(2) the surface area of the sphere.

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Types of Carbohydrates 335 Questions and Problems Q2 What is the type of glycosidic bond in maltose? an $\alpha$1,4 glycosidic bond Q3 Why does maltose have both $\alpha$ and $\beta$ forms (anomers)? Explain. This is because of space between the orientation of the hydroxyl group on the anomers carbon during the bond formation during glycosidic. C. Polysaccharides 1. Amylose What is the difference in the structure of amylopectin and amylose? Amylose is linked by $\alpha$1,4 glycosidicbonds and is a linear polymer while amylopectin is a branched polymer of $\alpha$1,4 glycosidic bonds. 2. Cellulose

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Identify all of the positions on the nucleoside guanosine that are available for hydrogen bonding

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Estimate the values for $V_{max}$ and $K_m$. ? (??/min) 200 175 150 Michaelis-Menten curve $K_m$ 125 100 75 50 25 0 0 10 20 30 40 50 60 70 80 90 100 [S] (??) Incorrect Answer 87.5 $V_{max}$ = ??/min $K_m$ = 20 ?? Incorrect Answer Correct Answer

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Sp W SpX Sp Y Sp Z Sp Q b a d 17) From the figure above, which example does not represent a clade? a) SpW, SpX, and SpY b) SpX, SpY, and SpZ c) SpY, SpZ, and SpQ d) SpW, SpX, SpY, SpZ e) All of the above four examples represent a clade 18) From the figure above, which example is a monophyletic group? a) SpW and SpX b) SpW, SpX, and SpY c) SpW, SpX, SpY and SpZ d) SpW 19) From the figure above, which example is a paraphyletic group? a) SpW and SpX b) SpW, SpX, and SpY c) SpW, SpX, SpY and SpZ d) SpY, SpZ, Sp Q e) All of the above examples C

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Increased production, but not increased inflation, will result in higher: Question 5Answer a. current dollar GDP. b. money GDP. c. real GDP. d. nominal GDP.

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$ (1 \text{ point}) \text{ Solve the system} $ $ \begin{bmatrix} -18 & 14\\ -21 & 17 \end{bmatrix} x $ $ \frac{dx}{dt} = \begin{bmatrix} -18 & 14\\ -21 & 17 \end{bmatrix} x $ $ \text{with the initial value} $ $ x(0) = \begin{bmatrix} -15\\ -20 \end{bmatrix} $ $ x(t) = \begin{bmatrix} \\\\ \end{bmatrix} $

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According to the _____, people have the ability to control their lives and are not simply controlled by the environment.

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Which of the following is NOT a recommended safe browsing technique? Group of answer choices Keep your browsing history in your cache. Turn off location sharing. Enable a pop-up blocker. Never store passwords.

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For the block diagram below, the transfer functions are given. Find the transfer function between the input U(s) and the output Y(s). U(s) R(s) G1(s) Z(s) G2(s) W(s) Y(s) G1=1/s G2=1/(s+3) H=4 H(s) 1. no other answer is correct 2. 1/[s + 3] 3. 4/[s*(s + 3)] 4. 1/[s^2 + 3s +4] 5. 1/[s*(s + 3)]

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rhonda f.