To Sketch: The given function and evaluate it as piecewise-defined function.
Find the graph's asymptotes and calculate the
Given function:
Graph:
The given function as a piecewise function as:
Find the asymptotes:
Check for vertical asymptote:
If
but as
If
but as
Thus, the function
Check for horizontal asymptote:
The asymptote is the ratio between the leading coefficients, where numerator and denominator have the same degree.
For
For
In other words, here in piece function
Find the
The
Thus the
Find the
To find the
Thus the
Chapter 2 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
- Find the derivative of the function. 5 1 6 p(x) = -24x 5 +15xarrow_forward∞ 2n (4n)! Let R be the radius of convergence of the series -x2n. Then the value of (3" (2n)!)² n=1 sin(2R+4/R) is -0.892 0.075 0.732 -0.812 -0.519 -0.107 -0.564 0.588arrow_forwardFind the cost function if the marginal cost function is given by C'(x) = x C(x) = 2/5 + 5 and 32 units cost $261.arrow_forward
- Find the cost function if the marginal cost function is C'(x) = 3x-4 and the fixed cost is $9. C(x) = ☐arrow_forwardFor the power series ∞ (−1)" (2n+1)(x+4)” calculate Z, defined as follows: n=0 (5 - 1)√n if the interval of convergence is (a, b), then Z = sin a + sin b if the interval of convergence is (a, b), then Z = cos asin b if the interval of convergence is (a, b], then Z = sin a + cos b if the interval of convergence is [a, b], then Z = cos a + cos b Then the value of Z is -0.502 0.117 -0.144 -0.405 0.604 0.721 -0.950 -0.588arrow_forwardH-/ test the Series 1.12 7√2 by ratio best 2n 2-12- nz by vitio test enarrow_forward
- Hale / test the Series 1.12 7√2 2n by ratio best 2-12- nz by vico tio test en - プ n2 rook 31() by mood fest 4- E (^)" by root test Inn 5-E 3' b. E n n³ 2n by ratio test ٤ by Comera beon Test (n+2)!arrow_forwardEvaluate the double integral ' √ √ (−2xy² + 3ry) dA R where R = {(x,y)| 1 ≤ x ≤ 3, 2 ≤ y ≤ 4} Double Integral Plot of integrand and Region R N 120 100 80- 60- 40 20 -20 -40 2 T 3 4 5123456 This plot is an example of the function over region R. The region and function identified in your problem will be slightly different. Answer = Round your answer to four decimal places.arrow_forwardFind Te²+ dydz 0 Write your answer in exact form.arrow_forward
- xy² Find -dA, R = [0,3] × [−4,4] x²+1 Round your answer to four decimal places.arrow_forwardFind the values of p for which the series is convergent. P-?- ✓ 00 Σ nº (1 + n10)p n = 1 Need Help? Read It Watch It SUBMIT ANSWER [-/4 Points] DETAILS MY NOTES SESSCALCET2 8.3.513.XP. Consider the following series. 00 Σ n = 1 1 6 n° (a) Use the sum of the first 10 terms to estimate the sum of the given series. (Round the answer to six decimal places.) $10 = (b) Improve this estimate using the following inequalities with n = 10. (Round your answers to six decimal places.) Sn + + Los f(x) dx ≤s ≤ S₁ + Jn + 1 + Lo f(x) dx ≤s ≤ (c) Using the Remainder Estimate for the Integral Test, find a value of n that will ensure that the error in the approximation s≈s is less than 0.0000001. On > 11 n> -18 On > 18 On > 0 On > 6 Need Help? Read It Watch Itarrow_forward√5 Find Lª³ L² y-are y- arctan (+) dy dydx. Hint: Use integration by parts. SolidUnderSurface z=y*arctan(1/x) Z1 2 y 1 1 Round your answer to 4 decimal places.arrow_forward
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