12. (12) Use the given table to estimate (*° f(t)dt by averaging left and right sums....
12 (12) Use the given table to estimate 1.° f (t)dt by averaging left and right sums. Give the values of n and At. fo) 0 5 10 7 20 10 30 9 40 8 Extra Credit (5) Find the indefinite integral: (.dx
Use the figures to calculate the left and right Riemann sums for f on the given interval and the given value of n. 3 f(x) = + 1 on (1,5), n=4 0 1 2 3 0 1 2 3 4 5 The left Riemann sum fortis (Round to two decimal places as needed.) The right Riemann sum forf is (Round to two decimal places as needed.)
5 Use the following table to estimate V W (t) dt. What are n and At? t 3.0 25 3.4 23 3.8 20 4.2 15 4.6 9 5.0 2 W (t) Enter the exact answers. To estimate the value of the integral we can use the left- and right-hand sum approximation with n = and Δt = Then the left-hand sum approximation is and the right-hand sum approximation is The of the left- and right-hand sum approximations is a better...
please solve The rate at which water is flowing into the boat is given in the table below. Estimate the volume of the water that has flowed into the boat during 20 minutes using right hand sums, left hand sums, the midpoint rule, the trapezoid rule. Which one is an upper estimate? Which one in a lower estimate? Why? 0 5 10 15 20 rO liters/minute 20 25 27 16 3 t minutes The rate at which water is flowing...
You are given the table below. 16 20 4 8 12 X f(x) 12 2417 6 30 Use the table and n = 4 to estimate the following. Because the data is not monotone (only increasing or only decreasing), you should sketch a possible graph and draw the rectangles to ensure you are using the appropriate values for a lower estimate and an upper estimate. 20 f(x)dx lower estimate upper estimate Estimate the area of the region under the curve...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
Elementary Laplace Transtorms Y(S) = {f} -L e-stf(t)dt fc = C-'{F(s)} F(s) = {f} f(t) =-'{F(s)) F(s) = {f} -CS 1. 1 1 12. uct) le S> 0 S> 0 . s S 2. eat 1 13. ucOf(t-c) e-csF(s) S> a S-a n! 3. t",n e Z 14. ectf(t) F( sc) S> 0 sh+1 4. tP, p>-1 (p+1) S> 0 SP+1 15. f(ct) F). c>0 16. SFt - 1)g(t)dt F(s)G(*) 5. sin at S> 0 16. cos at 17. 8(t...
questions 8 and 9 8. Use Riemann sums (See Section 4.3) and a limit to compute the exact area under the curve. y+3x on (a) [0, 1]: (b) [O, 21; (c) [1, 3) 9. Construct a table of Riemann sums as in example 3.4 (See Section 4.3) to show that sums with right-endpoint, midpoint, and left-endpoint evaluation all value as n-o converge to the same f(x) sin x, [0, π / 2] 8. Use Riemann sums (See Section 4.3) and...