4n + (-1)" 4n +n existence of this limit using the definition in terms of e and N(c). State and explain Consider the sequence (a,), where a,: Determine lim a, and prove the whether the sequence (a.) is bounded or not.

Q: The sum of two times a number and twenty-two?

A: Given :   The sum of two times a number and twenty-two

Q: Four times the sum of a number and 15 is at least 120. Let x represent the number. Find all possible…

A: Four times the sum of a number and 15 is at least 120. Let  represent the number.To find all…

Q: The product of two consecutive even whole numbers is 120. The two integers are and

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Q: Three of the same cycles sell for $2,640. What is the dollar price of five of these same cycles?

A: Given that,Three of the same cycles sell for $2640 we have to calculate, what is thedollar price of…

Q: Let x be the number, then the English phrase "twice the sum of a number and three, less than twenty"…

A: Given that the number is= x So the sum of a number and three=x+3 twice the sum of a number and…

Q: A son’s age is represented by x and his father’s age is represented by y. If twice the age of son is…

A:

Q: The sum of the first n terms of a GP is 189. If the first term and the second term of the GP are 3…

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Q: Use implicit differentiation to find for the following equations. d.

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Q: A student walks and jogs to college each day. The student averages 5 km/hr walking and 9 km/hr…

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Q: The sum of the two-digit number is 8. The unit digit is four less than five times the tens digit.…

A: Let  'ab' denotes a two digit number where 'b' is unit digit and 'a' denotes tens digit. Given that…

Q: The sum of a two -digit numbers and the number obtained by reversing the order of its digits is…

A: Given problem is : The sum of  a two digit numbers and the number obtained by receiving the order of…

Q: (d) y = sin(tan(2r)) (e) f(t) = tan(eª) + etan(t) (f) y = ·

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Q: The cost of a car increases by 20% and then decreases by 20%. Is the resulting price of the car…

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Q: The sum of two digit number and the number obtained by reversing the order of its digits is 165. If…

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Q: The sum of three consecutive natural numbers is 519, find the numbers. The three numbers in…

A: Given that the sum of three consecutive natural numbers is 519. We have to find these numbers.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.