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The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a b. Therefore log a b = x ↔ ax = b, a > 0, a ≠1 and b>0. From the basic definition of the logarithm of the number b to the base 'a', we have an identity
That is called as Fundamental Logarithmic Identity.
Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is
S olve the subsequent IVP. dv/dt = 9.8 - 0.196v; v(0) = 48 Solution To determine the solution to an Initial Value Problem we should first determine the gen
what is x(5x4)=26?
Define a Hamilton path. Determine if the following graph has a Hamilton circuit. Ans: A path is known as a Hamiltonian path if it consists of every vertex of the graph e
Vector Arithmetic In this part we need to have a brief discussion of vector arithmetic. Addition We will begin with addition of two vectors. Thus, given the vectors a
The Mean Value Theorem Assume f(x) is a function that satisfies both of the subsequent. 1. f(x) is continuous on the closed interval [a,b]. 2. f(x) is differentiabl
Apply the concept of partial fraction and add the corresponding terms. The terms will get cut automatically leaving the first and last term
Analysis of questionnaire completed by holiday makers showed that 0.75 classified their holiday as excellent at Malindi. The probability of hot weather in the resort is 0.6. If th
(i may have spelled it wrong)but i forgot how to do them.
The revenue and cost functions for producing and selling quantity x for a certain production facility are given below. R(x) = 16x - x 2 C(x) = 20 + 4x a) Determine the p
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