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Online Auctions The following graph shows the rate of change
Use a left Riemann sum with four subdivisions to estimate the total change in the number of active users from the second quarter of 2008 to the second quarter of 2010 (the interval
). [HINT: See Example 3.]
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Finite Mathematics and Applied Calculus (MindTap Course List)
- EXAMPLE 3 Find S X √√2-2x2 dx. SOLUTION Let u = 2 - 2x². Then du = Χ dx = 2- 2x² = 信 du dx, so x dx = du and u-1/2 du (2√u) + C + C (in terms of x).arrow_forwardLet g(z) = z-i z+i' (a) Evaluate g(i) and g(1). (b) Evaluate the limits lim g(z), and lim g(z). 2-12 (c) Find the image of the real axis under g. (d) Find the image of the upper half plane {z: Iz > 0} under the function g.arrow_forwardk (i) Evaluate k=7 k=0 [Hint: geometric series + De Moivre] (ii) Find an upper bound for the expression 1 +2x+2 where z lies on the circle || z|| = R with R > 10. [Hint: Use Cauchy-Schwarz]arrow_forward
- Hint: You may use the following derivative rules: ddxsin(x)=cos(x) ddxcos(x)=−sin(x) ddxln(x)=1x Find the equation of the tangent line to the curve y=4sinx at the point (π6,2).The equation of this tangent line isarrow_forwardQuestion Find the following limit. Select the correct answer below: 1 2 0 4 5x lim sin (2x)+tan 2 x→arrow_forward12. [0/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.022. Evaluate the indefinite integral. (Use C for the constant of integration.) sin(In 33x) dxarrow_forward
- 2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.003.MI. Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x³ + 3 dx, u = x² + 3 Need Help? Read It Watch It Master It SUBMIT ANSWER 3. [-/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.006.MI. Evaluate the integral by making the given substitution. (Use C for the constant of integration.) | +8 sec² (1/x³) dx, u = 1/x7 Need Help? Read It Master It SUBMIT ANSWER 4. [-/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.007.MI. Evaluate the indefinite integral. (Use C for the constant of integration.) √x27 sin(x28) dxarrow_forward53,85÷1,5=arrow_forward3. In the space below, describe in what ways the function f(x) = -2√x - 3 has been transformed from the basic function √x. The graph f(x) on the coordinate plane at right. (4 points) -4 -&- -3 -- -2 4 3- 2 1- 1 0 1 2 -N -1- -2- -3- -4- 3 ++ 4arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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