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A trial is a single performance of an _________________
On a coordinator plane,sketch a quadrilateral object by plotting and connecting coordinate point A(-5,-1) ; B (-1,-2) C (-2,-5) D (-6 ,-4).
3.1. Reflect the object vertically in the axis.
Write down the coordinate points of the vertically reflected image.
Describe the symmetry that resulted from the horizontal reflection.
Is the image isometric to the object?
3.2. Connect B to the origin and rotate the object about the origin in quadrant II , I and IV.
Write down the coordinate points of the image.
Discuss whether there is symmetry in the final four shapes.
Decide whether the images are isometric to the object.
3.3. Dilate the object by a scale factor of 1.5.
Write down the coordinate points of the image.
Is there any mention of symmetry between the object and the image? Explain.
Describe and explain the similarity between the object and the image.
A short run cost function for an entrepreneur is q3- 8q2 + 30q + 60. Determine the price at which the entrepreneur cases production in an ideal market. Also, derive the supply function.
Consider the upward motion of a particle under gravity with a velocity of projection uo and resistance mkv2. Show that the velocity V at the time t and distance x from point lf projection are related as
2gx/Vt2 = ln[(uo2+Vt2)/(V2+Vt2)], where k=g/Vt2
Suppose that monopolist has a demand function p1= 100-Q1 , p1=80-Q1 , C=6Q1+6Q2. How much should be sold in the market? What are corresponding prices? Find total profit?
Write the limitations of the Malthusian model of population growth.
In a population of lions, the proportionate death rate is 0.55 per year and the
proportionate birth rate is 0.45 per year. Formulate a model of the population. Solve
the model and discuss its long term behavior. Also, find the equilibrium point of the
model.
Consider the blood flow in an artery following Poiseuille’s law. If the length of the
artery is 3 cm, radius is 7×10-3 cm and driving force is 5×103 dynes/cm2 then using blood viscosity, μ = 0 × 027 poise, find the
(i) velocity u( y) and the maximum peak velocity of blood, and
(ii) shear stress at the wall of the artery.
A body is falling free in a vacuum. The fall is necessarily related to the gravitational
acceleration g and the height h from which the body is dropped. Use dimensional
analysis to show that the velocity V of the falling body satisfies the relation V/√(gh)=constant.
The oldest mathematical objects which were discovered in Africa came from
