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Concept explainers
To calculate:Thesimplified form of the expression
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Answer to Problem 41E
The simplified form of the expression is
Explanation of Solution
Given information:
The expression is
Formula used:
To add or subtract rational expression, first find the common denominator and then use the following property of fractions:
If the denominators are not same then find least common denominator. The least common denominator is found factoring each denominator and taking the product of distinct factors, using the highest power that appears in any of the factors.
Calculation:
Consider the provided expression.
Recall that,
To add or subtract rational expression, first find the common denominator and then use the following property of fractions:
If the denominators are not same then find least common denominator. The least common denominator is found factoring each denominator and taking the product of distinct factors, using the highest power that appears in any of the factors.
Since denominators are not the same then find the least common denominator.
The least common denominator of
Add fractions,
Combine terms in numerator,
Thus, the simplified form of the expression is
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- T 1 7. Fill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. So π/2 2 2πxcosx dx Find the volume of the solid obtained when the region under the curve on the interval is rotated about the axis.arrow_forward38,189 5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the curve: y = cos²x_for_ |x| ≤ and the curve y y = about the line x = =플 2 80 F3 a FEB 9 2 7 0 MacBook Air 3 2 stv DGarrow_forwardFind f(x) and g(x) such that h(x) = (fog)(x) and g(x) = 3 - 5x. h(x) = (3 –5x)3 – 7(3 −5x)2 + 3(3 −5x) – 1 - - - f(x) = ☐arrow_forward
- x-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)arrow_forwardFill in the blanks to write the calculus problem that would result in the following integral (do not evaluate the interval). Draw a graph representing the problem. π/2 So/² 2xcosx dx Find the volume of the solid obtained when the region under the curve 38,189 on the interval is rotated about the axis.arrow_forwardLet f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer. Type an integer or a decimal.)arrow_forward
- For the given function, find (a) the equation of the secant line through the points where x has the given values and (b) the equation of the tangent line when x has the first value. y= f(x) = x²+x; x=-1,x=2 a. Which of the following formulas can be used to find the slope of the secant line? ○ A. 2-(-1) f(2) f(-1) 2+(-1) C. 1(2)+(-1) The equation of the secant line is 1(2)+(-1) О в. 2+(-1) f(2)-(-1) D. 2-(-1)arrow_forwardplease do not use chat gptarrow_forwardUse technology to find f'(4), f'(16), f'(-5) for the given function when the derivative exists. f(x) = -2x² + +10xarrow_forward
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