i) Determine decreasing interval(s) of the function if it exists. ii) Determine the average rate of change between n = 10 years and n = 25 years. iii) Determine the instantaneous rate of change at n = 10 years.
Trigonometric Identities
Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.
Inverse Trigonometric Functions
Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.
The cost of an appliance whose purchase price is $600 and annual hydro cost is $115 is given by the
function C(n) = 600 +115n , where C is the annual cost, in dollars, and n is the number of years.
i) Determine decreasing interval(s) of the function if it exists.
ii) Determine the average rate of change between n = 10 years and n = 25 years.
iii) Determine the instantaneous rate of change at n = 10 years.
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