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Application of Calculus-Optimization problem
Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R on the ground between the poles and then to the top of the second pole as in the figure. Show that the shortage length of such a rope occurs when θ1 = θ2
Find the present value of Rs. 2,000 due in 6 years if money is worth compounded semi-annually. (b) Ascertain the present value of an amount of Rs. 8,000 42/SEM - I /2011
Differentiate the functions. y = (square root cos (square root x))
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three regions are colored red, two are colored green and one is colored yellow
uppose one person sends a letter to eight people, and the following week those eight people send a letter to eight other people. If this pattern continues, how many letters will be sent out on the sixth week?
If G = and H is a subgroup of G, show that H is the normal subgroup of G if and only if x^-1Hx contained in H for all x belonging to X. ALSO show that is normal in G if and only if gXg^-1 contained in for all g belonging to G.
A hospital keeps on hand a 5% glucose solution (that is, a solution that is only 5% glucose). If the container holds 500 mL what portion of the content of the container is glucose?
Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
Find all critical points of the function f (x) = -3x x + 2 Create a sign chart for the first derivative and based on the sign chart state intervals where the function is increasing and decreasing state exact values for the x and y coordinates for ..
The width is increased by 4 while the length is unchanged. Using a as the variable, express the change in area in terms of a.
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
the fence around a rectangular piece of property is 156 m long. if the area of the property is 1505 meters squared, find the dimensions of the property.
Derive the statement as corollaries of other theorems from the text or of statement you have proved true in the exercise.
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