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Differentiate following functions. (a) f ( x ) = 2 x 5 cosh x (b) h (t ) = sinh t / t + 1 Solution (a) f ′ ( x ) = 10x 4 cosh x + 2x 5 sinh x (b) h′ (t ) = (t
After a lot of effort, 8-year-old Hari worked out 2 x 88 = 176. When asked to say what 2 x 89 was, after a lot of hard work, he produced the answer 178. How would you help him to r
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
A parcel of land, value $250,000 is sold to an investor who signs a contract agreeing to pay a deposit of $25,000 followed by equal quarterly payments for as long as necessary, wit
Q. Determine the probability of tossing a head? Let B represent the event of tossing a heads with the nickel in example 2. Find P(B). Solution: S = {(H, H), (H, T), (T, H
Interpretations of derivatives. Example: Find out the equation of the tangent line to x 2 + y 2 =9 at the point (2, √5 ) .
What is partial market equilibrium
Example of Multiplying Decimals: Example: 0.45 x 10 = 4.5. Same, while multiplying a decimal through 100, 1000, and 10,000, move the decimal point to the right the similar
1+2+3+.....+n=1/2n(n+1)
A national study found that treating people appropriately for high blood pressure decreased their overall mortality rate by 20%. Treating people adequately for hypertension has bee
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