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Concept explainers
(a)
To find: The number of terms in the expression.
(a)
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Answer to Problem 4E
The number of terms is 3 in the expression.
Explanation of Solution
A polynomial with variable x is an expression of the form,
Where,
- a is a real number.
- n is nonnegative integer.
The monomial
The given expression is,
Thus, the number of terms is 3 in the expression.
(b)
To find: The least common denominator of the terms.
(b)
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Answer to Problem 4E
The least common denominator of all the terms is
Explanation of Solution
Given:
The given expression is,
Calculation:
Factor each denominator of given expression and take the product of distinct factors, than the highest power that appears in any of the factors is the least common denominator.
All the denominators of the expression are x,
Thus, the least common denominator of all the terms is
(c)
To find: The sum of given rational fractions.
(c)
![Check Mark](/static/check-mark.png)
Answer to Problem 4E
The sum of given rational fractions is
Explanation of Solution
Given:
The expression is,
Calculation:
Use least common denominator to add the given rational fractions.
Thus, the sum of given rational fractions is
Chapter 1 Solutions
Precalculus - A Custom Text for UNLV
- A tank initially contains 50 gal of pure water. Brine containing 3 lb of salt per gallon enters the tank at 2 gal/min, and the (perfectly mixed) solution leaves the tank at 3 gal/min. Thus, the tank is empty after exactly 50 min. (a) Find the amount of salt in the tank after t minutes. (b) What is the maximum amount of salt ever in the tank?arrow_forwardpleasd dont use chat gptarrow_forwardBy using the numbers -5;-3,-0,1;6 and 8 once, find 30arrow_forward
- Show that the Laplace equation in Cartesian coordinates: J²u J²u + = 0 მx2 Jy2 can be reduced to the following form in cylindrical polar coordinates: 湯( ди 1 8²u + Or 7,2 მ)2 = 0.arrow_forwardFind integrating factorarrow_forwardDraw the vertical and horizontal asymptotes. Then plot the intercepts (if any), and plot at least one point on each side of each vertical asymptote.arrow_forward
- Draw the asymptotes (if there are any). Then plot two points on each piece of the graph.arrow_forwardCancel Done RESET Suppose that R(x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (a) Find another zero of R(x). ☐ | | | | |│ | | | -1 བ ¢ Live Adjust Filters Croparrow_forwardSuppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (c) What is the maximum number of nonreal zeros that R (x) can have? ☐arrow_forward
- Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose that R (x) has the following zeros. -1-4i, -3i, 5+i Answer the following. (b) What is the maximum number of real zeros that R (x) can have? ☐arrow_forwardi need help please dont use chat gptarrow_forward3.1 Limits 1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice. x+3° x+3* x+3 (a) Is 5 (c) Does not exist (b) is 6 (d) is infinitearrow_forward
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