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Differentiate the following functions.
(a) f (t ) = 4 cos-1 (t ) -10 tan -1 (t )
(b) y = √z sin -1 ( z )
Solution
(a) Not much to carry out with this one other than differentiates each term.
(b) Before using the product rule don't forget to convert the radical to fractional exponents
Alternate Notation : There is some alternate notation i.e. used on occasion to denote the inverse trig functions. This notation is following,
sin -1 x = arcsin x cos-1 x = arccos x
tan -1 x = arctan x sec-1 x = arcsec x
cot -1 x =arccot x csc-1 x = arccsc x
Prove the subsequent Boolean expression: (x∨y) ∧ (x∨~y) ∧ (~x∨z) = x∧z Ans: In the following expression, LHS is equal to: (x∨y)∧(x∨ ~y)∧(~x ∨ z) = [x∧(x∨ ~y)] ∨ [y∧(x∨
julie has 3 hats and 5 scarves. How many ways can she wear a hat and a scarf?
Proof of Sum/Difference of Two Functions : (f(x) + g(x))′ = f ′(x) + g ′(x) It is easy adequate to prove by using the definition of the derivative. We will start wi
Solution by Factorization, please solve quadratic equations by Factorization.
Mary made 34 copies at the local office supply store. The copies cost $0.06 each. What was the total cost of the copies? Multiply 34 by $0.06 to ?nd out the total cost; 34 × $0
Evaluate the slope of the line: Example: What is the slope of the line passing through the points (20, 85) and (30, 125)? Solution: m = 125 -85/30-20 = 4
what is the median of a set of data?
Hanna's sales target for the week is $5,000. So far she has sold $3,574.38 worth of merchandise. How much more does she required to sell to meet her goal? You must ?nd out the
2/5x + x+1/3x
Dividing Mixed Numbers Dividing mixed numbers is a 3-step process: 1. Convert the mixed numbers to improper fractions. 2. Divide the fractions 3. Convert the result ba
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