Numerade

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meorigln 6. If the lines $ p x^{2}-q x y-y^{2}=0 $ makes an angle $ \alpha $ and $ \beta $ with $ x $-axis, then the value of $ \tan (\alpha+\beta) $ is: a) $ \frac{q}{1+p} $ b) $ \frac{q}{1+q} $ c) $ \frac{q}{2(1+p)} $ d) $ \frac{-q}{1+p} $ 7. If the two pair of lines $ x^{2}-2 m x y-y^{2}=0 $ and $ x^{2}-2 n x y-y^{2}=0 $ are such that one of them represents the angle between the other, then a) $ \mathrm{mn}+1=0 $ b) $ m n-1=0 $ c) $ \frac{1}{m}+\frac{1}{n}=0 $ d) $ \frac{1}{m}-\frac{1}{\mathrm{n}}=0 $ 8. The angle between the line pair $ x^{2}+2 x y-y^{2}=0 $ is a) $ 45^{\circ} $ b) $ 90^{\circ} $ c) $ 60^{\circ} $ d) $ 0^{\circ} $ 9. The angle between the pair of straight lines $ x^{2}\left(\cos ^{2} \theta-1\right)-x y \sin ^{2} \theta+y^{2} \sin ^{2} \theta=1 $ is a) $ \frac{\pi}{3} $ b) $ \frac{\pi}{4} $ c) $ \frac{2 \pi}{3} $ d) $ \frac{\pi}{2} $ 10. The combined equation through the origin perpendicular to the lines represented by $ a x^{2}+2 h x y+b y^{2}=0 $ is given by a) $ b x^{2}-2 h x y-a y^{2}=0 $ b) $ b x^{2}-2 h x y+a y^{2}=0 $ c) $ a x^{2}-2 h x y-b y^{2}=0 $ d) $ b x^{2}+2 h x y+a y^{2}=0 $ 11. The pair of lines joining origin to the point of intersection of the line $ y=\sqrt{3} x+c $ with the curve $ x^{2}+y^{2}=8 $ will be right angles if $ c $ is equal to a) 2 b) 4 c) 6 d) $ 2 \sqrt{3} $ 43

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Given an acceleration vector, initial velocity $(u_0, v_0, w_0)$, and initial position $(x_0, y_0, z_0)$, find the velocity and position vectors for $t \ge 0$. $a(t) = (7t, e^{-t}, 11)$, $(u_0, v_0, w_0) = (0, 0, 4)$, $(x_0, y_0, z_0) = (6, 0, 0)$ $v(t) = ? ? ?$ What is the position vector? $r(t) = ? ? ?$

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The projection of the mandible that forms the anterior part of the chin is known as the __________. Multiple Choice alveolar process angle body mental foramen mental protuberance

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The market concensus is that Target has an ROE of 15.00% The firm has a beta of 1.75 The firm maintains its traditional plowback (b) of 3/4 The current EPS is $3.45 The concensus estimate of the coming year's market return is 16.24% T-Bills currently are at 5.55% What is the approximate PVGO? Round answer to 2 decimal places. Report answer as a negative number. PVGO = D1/(K-g) - EPS1/K

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how would the percentage of HA that reacts compare to the percentage of HQ As a team, consider two acids, HA and HQ. If HA is a stronger acid than HQ, that reacts for equal molarities of the two acids. Explain your team's reasoning.

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What is the tax treatment of Canadian social security benefits in the United States? Canadian social security benefits are:

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BONUS: Consider the circuit shown below. Select values for the capacitances and inductances to obtain a resonant frequency of Ï‰=50 rad/s when C is 5 times the value of C and L is 2 times the value of L. Given R=12, R=4, R=1, R=4/3, R=2/3, and R6=1/3Q. PiS ci WW RE C2 MMH bO

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Your company has a four-strand continuous caster with 0.658" inside diameter nozzles (all tapered r/d = 1/10) located in the bottom of the tundish as shown in the illustration. The rectangular shaped tundish is 25' long \times 3' wide \times 3' deep. Assume that you can safely fill the tundish to within 3" of the top with steel (ignore any slag that might be there). Properties of steel: liquid ($\eta$ = 0.005 Ns/m$^2$; $\rho$ = 6900 kg/m$^3$) and solid ($\rho$ = 7650 kg/m$^3$). a) What would be the maximum casting speed in inches per minute for a 4" \times 4" solid billet and a 10" \times 8" solid bloom? b) What is the available time to change the ladle with all four strands casting before the tundish almost runs out of steel (assume you never want the level in the tundish to fall below 8" of metal)? In other words, calculate the time to empty the tundish from complete full (3" from the top) to nearly empty (8" of steel left in the bottom of the tundish).

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Question No. 3: 3 (a) CLO-3 (20) CLO-3 [10] Given the architecture in Figure 3, having clock frequency of 100MHz. Determine Latency, Throughput and Timing (in terms of logic elements) of the original architecture in Figure 3. Remove the pipeline registers P1, P2 and P3 and again determine Latency, Timing (in terms of logic elements) and Throughput.

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Find (a)$V_1$ and (b)$V_2$ in the circuit in the figure using nodal analysis.

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william e.