Numerade

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a) A firm's marginal cost function is MC = 2Q+1; the fixed costs are 7. (CLO6 &3) (b) The marginal revenue function of a monopolistic producer is MR = 25 - Q The variable cost/ unit= Choose... Find the total revenue function Choose... deduce the corresponding demand function. Choose... Find the level of output Q where MR=MC Choose... The profit function ? = Choose... Find an expression for the total cost function 117 find the total cost of producing 10 units. Choose... Please answer all parts of the question.

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Perform the row operation on the given augmented matrix. $\begin{bmatrix} 1 & 6 & -2 & -7 \ 9 & 4 & 7 & 9 \ -8 & 5 & 5 & 5 \end{bmatrix}$ $-9R_1 + R_2$ What is the resultant matrix?

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As price increases and quantity demanded decreases, this is called: ?positively related ?the law of demand ?directly related ?the law of supply

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Part 1 Solve the following system of linear equations: x + y + 4z = -14 y - 3z = 9 5x + 9y + 9z = -37

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g the appropriate labels to their respective targets. Sloughing keratinocytes Stratum granulosum Stratum spinosum Stratum lucidum (found only in thick skin) Keratinocytes Stratum corneum Melanocyte Stratum basale Dendritic cell Dermis LM (485x) Dividing keratinocyte Merkel cell Reset Help

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Vitamins/coenzymes (Keyboard Navigable Alternate Version) Complete the following paragraph to describe the roles of vitamins and coenzymes in biological reactions. a. (Click to select) are organic molecules acquired through diet or daily supplements. b. Without vitamins, the body would be unable to produce coenzymes, (Click to select), organic molecules that interact with (Click to select) and assist them in chemical reactions. c. Vitamins are able to increase the amount of (Click to select) by one of two ways. d. Vitamins help the body manufacture coenzymes, such as the (Click to select), while other vitamins directly act as coenzymes, such as (Click to select).

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Use integration by parts to evaluate the integral: \int \cos^{-1}(3x)dx

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An $ \alpha $ particle $ (q = +2e) $ moving toward the right at a velocity of $ \vec{v} = 250 \frac{m}{s} $ passes into an electric field with $ \vec{E} = 1000 \frac{N}{C} $ pointed in an upward direction. What is the magnitude and direction of the force that the $ \alpha $ particle experiences as it passes through the electric field?

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Q46. A small, spherical air bubble moves upwards in a glass of water. The drag force on the bubble can be calculated using Stokes' law. (a) State the condition needed for Stokes' law to apply to the bubble. (b) The bubble moves upwards at a constant velocity. The volume of the bubble is 5.3 × 10?¹¹ m³. (i) Show that the upthrust on the bubble is about 5 × 10?? N. density of water = 998 kg m?³ (ii) The bubble moves upwards at a constant velocity of 0.035 m s?¹. Deduce whether Stokes' law applies to the bubble. You may ignore the weight of the bubble. viscosity of water = 9.5 × 10?? Pa s

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Tutorial Q2. By regarding $\vec{OA} = 3\hat{i} + 2\hat{j} + \hat{k}$ and $\vec{OB} = \hat{i} + 2\hat{j} - 3\hat{k}$ as position vector and vector along the line respectively and vice versa, write two vector equations and hence, determine the point of intersection of these two lines. Hence, discuss why lines formed in such format can have solution for intersection.

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jose ignacio s.