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patrick ramirez

patrick r.

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\( f(x)=\sqrt{2-3 x^{2}} ; f^{\prime \prime}(x) \)

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The text appears to be free of spelling, typographical, grammatical, OCR, and mathematical errors.

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Q3: A storage tank in Fig.1 supplied water to an inclined pipe with diameter (125mm) then reduced to (100mm) mounted to a manometer with a vertical elevation (H), then exit from a horizontal pipe with diameter (75mm). Calculate the elevation (Z) and the pressure gauge at point (A). D2=125mm, D3=DA=100mm, D4=75mm. (30Marks) Q4: In Fig.2 atmospheric pressure is 14.8 psi, the gage reading at A is 3.7 psi, the vapor pressure of the alcohol is 1.4 psi. Compute x and y. (20Marks)

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The EIS results of a fuel cell with an area of 200 cm² show that R_ohmic = 0.001Ω·cm² at a current density of 1.5 A/cm². Determine the ohmic overpotential of the fuel cell at this current density.

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A 1000-g rubber ball is dropped from a height of 3 m and bounces back 1 m. How much energy was lost? Consider g = 10 m/s^2.

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The equation dP/dt = qE is valid in the S frame. Show by Lorentz transformation that the equation of motion in the S' frame is dP'/dt' = q[E' + v × B']. Note: E' and B' are the electric and magnetic fields, respectively, in the S' frame, and × is the cross product operator, not a variable.

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135 degrees is equivalent to what value when converted to radian measure?

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g(x) = \begin{cases} \frac{1}{2}x + 4, & x < -4 \\ -\frac{1}{2}x, & x > -4 \end{cases} Does g(x) have a discontinuity at x = -4? If so, classify the discontinuity, justifying your conclusion.

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Suppose that the functions $f$ and $g$ are defined $f(x) = x + 2$ $g(x) = 3x^2$ Write the expressions for $(g+f)(x)$ and $(g-f)$ $(g+f)(x) = (g-f)(x) = (g'f)(-1) = $

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1. If 3kgs of rice cost $120, what is the cost of 7kgs of rice? 2. Kemel earns $1300 in 10 days. How much does he earns in 1 day? 3. A bus can travel 32km in two hours, How much distance can the bus travel in 5 hours?

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