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george davila

george d.

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1. Use the Mean Value Theorem to show the following estimate of the sixth root of 65 : \[ 2<\sqrt[6]{65}<2 \frac{1}{192} . \]

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(a) Solve \( x^{2}+y^{2}=13 \) \[ x^{2}-y=7 \] (b) What is the interpretation of the values of x and y obtained in (a) above? [03] (c) In solving (a) above, what pre-requisite knowledge would you as a teacher expect your learners to have? (d) What could be learners' anticipated difficulties? [03] [03] (e) How would you, as a teacher, help the learners overcome the difficulties stated in (c) above. [04]

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Which of the following endocrine glands makes relaxin: Which of the following endocrine glands makes relaxin: placenta uterus none of the above gonad all of the above

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7.57. The oropharynx is visible when looking at the back of the moull orlo 7.58. Polysomnography measures physiological activity during sleep and is most often performed to detect nocturnal defects in breathing associated with sleep apnea. 7.59. Pneumonectomy is the surgical removal of all or part of a lung. pneumlo

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A downward force is applied at the handle of the rigid lever (shown in Figure 9 below) which causes the lever to rotate clockwise about the pin B through an angle of 2°. i. Determine the average normal strain in each wire. The wires are un- stretched when the lever is in the horizontal position. ii. If the diameter of the wire is 3 $mm$, and the modulus of elasticity of the material is $E = 170 \text{ GPa}$, determine the force and stress in each wire.

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Find $\frac{dy}{dx}$ by implicit differentiation. $5y \sin(x^2) = 9x \sin(y^2)$ $\frac{dy}{dx} = $

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\( 6-\left[\frac{2+7}{3}-(2 \cdot 3-5)\right] \)

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2. Verify the divergence theorem holds in each case below by computing both: 0. V.F dV and F.dS JS Jan where the set and the vector field F are given below. (c) Let :={(x,y,z) in the first octant : x+2y+3z6} and F(x,y,z)=(4x,6y,0).

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Discuss the different types of (at least two) treatment programs for juvenile offenders while in the community.

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2. Find the differential equation whose general solution is: y = c_1e^{2x} + c_2xe^{2x}

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