Numerade

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Divide using long division. State the quotient, q(x), and the remainder, r(x). $$ \frac{5x^3 - 6x^2 + 2x + 7}{5x^2 + 4x + 4} $$ $$ \frac{5x^3 - 6x^2 + 2x + 7}{5x^2 + 4x + 4} = \boxed{\phantom{x}} + \frac{\boxed{\phantom{x}}}{5x^2 + 4x + 4} $$ (Simplify your answers. Do not factor. Use integers or fractions for any numbers in the expressions.)

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NB: One of the sets has extra control acting as a master control in the hostel manager's office 3. A staircase in a storey building of six floors has to be illuminated by eight incandescent lamps each 100W, 220V, 50Hz. It can be switched on or off from different positions. (a) Design the power and control circuits that will smooth the movement from ground floor to end's floor, pilot indicators for machine system and thermal overload relay must be provided (b) Draw the well labeled circuit diagram for lighting system in which the operator can control the users by allowing them to access or not access the light because electricity energy is very expensive however people use light sometimes unnecessarily.(25Marks)

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A trader wants to hedge a long stock position from short term downside risk. Which strategy best aligns to this goal? Long Straddle Long Strangle Collar Long Call

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QUESTION 8 Servo motors like the ones you saw in the lecture can be controlled with PWM signals with a frequency of 500 Hz, maximum. True False

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The number 90,036 is written as a Hindu-Arabic numeral. Write it in Expanded form: (\times 10^{}) + (\times 10^{}) +

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20. Find $y'$ by implicit differentiation if $xe^y = y - 1.$

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Which of the following is equivalent to $\int \frac{3x^3 + 2}{3x^4 + 8x - 1} dx$? $\frac{1}{4} \int \frac{1}{u} du$ $4 \int \frac{1}{u} du$ $\frac{1}{4} \int u du$ $4 \int u du$

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Write a single expression to determine the volume of it. Include units in your expression. Evaluate your expression in one step on your calculator. Write down the number before you round it. Then round it according to the guidelines we have discussed in class. Write your final answer for volume including units. Put a box around this answer. 43 ft 24 ft 95 ft 36 ft

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Two modified Tanabe-Sugano diagrams for the d³ (left) and d? (right) configurations are shown below. (Note that the g subscripts on the molecular states have been omitted for clarity) 70 d³ ?T? d? 70 ¹A? ?E ¹E ¹T? 60 60 ¹T? 50 50 ?T? ?T? ¹T? 40 40 ³T? 30 30 20 20 ?P 10 10 ?A? ?F ?D 10 20 30 40 10 20 30 40 (a) What does the vertical line at ~20 on the x-axis for the d? (right) Tanabe-Sugano diagram represent? (5 marks) (b) Why is there no similar vertical line for the d³ (left) Tanabe-Sugano diagram? (5 marks)

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The bottom of an airboat (show below) can be modelled as a flat plate of width W=1.5 m, length L=3.0 m being propelled horizontally in the direction of its length through water that is not moving. The density of the water is $\rho = 1000 kg/m^3$, kinematic viscosity $\mu = 1.1 \cdot 10^{-3} Pa\cdot s$. If the fan shown below is replaced with a household fan supplying a force of F = 1.0N, determine the speed V with which the boat cruises (thrust = drag) over the water? Assume laminar flow and that the only significant source of drag is the skin friction on the bottom of the boat. Was the assumption of laminar flow correct?

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mary f.