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Prove: 1/cos2A+sin2A/cos2A=sinA+cosA/cosA-sinA
Prove that A tree with n vertices has (n - 1) edges. Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should
The exponential functions are useful for describing compound interest and growth. The exponential function is defined as: y = m. a x where '
Hydrostatic Pressure and Force - Applications of integrals In this part we are going to submerge a vertical plate in water and we wish to know the force that is exerted on t
Determine the value of the unknown side of a right triangle: The two legs of a right triangle are 5 ft and 12 ft. How long is the hypotenuse? Now Let the hypotenuse be c ft.
Fundamental Theorem of Calculus, Part I If f(x) is continuous on [a,b] so, g(x) = a ∫ x f(t) dt is continuous on [a,b] and this is differentiable on (a, b) and as,
We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an
Utilizes the definition of the limit to prove the given limit. Solution In this case both L & a are zero. So, let ε 0 so that the following will be true. |x 2 - 0|
On a graph, design a diagram by transformation the given graph of f (x), -2 ≤ x ≤ 2. Briefly Define the other graphs in terms of f (x) and specify their domains. The diagram n
Velocity : Recall that it can be thought of as special case of the rate of change interpretation. If the situation of an object is specified by f(t ) after t units of time the vel
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