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Finding the value of x such that the vertical distance is maximum.
Conjecture consider the functions f(x) = ½ x2 and g(x) = 1/16 x4 - ½ x2 on the domain [0,4].Write the vertical distance d between the functions as a function of x and use calculus to find the value of x for which d is maximum.
Trigonometric identities to find length of the guy wire.
Evaluate the exact value of the trigonometric functions - Use common trigonometric identities for the functions given to find the indicated trigonometric functions.
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
Dividing a complex number with another number
Calculate the amount earned by a principal.
Finding the difference of the side lengths of a triangle - Find the smallest possible value of BC - AB?
Find the cost of the shortest length of carpet.
Four congruent quarters circle are drawn inside square of side length four centimeters f ind the shaded area
Use taylor series expansion to find the given variables.
Solve the given equation on the interval 0 ≤ θ ≤ 2π.
Determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circle - What length and width should the rectangle have so that its area is a maximum?
Find the fraction interms of LCM using given fraction - Evaluate the fraction in terms of LCM
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