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5 Use the following table to estimate V W (t) dt. What are n and At?...
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
12. (12) Use the given table to estimate (*° f(t)dt by averaging left and right sums. Give the values of n and At. t 10 7 f(0) 20 10 30 9 40 8 5
2. Let L(t) = the length (in cm) of a fish at time t (in years). Suppose that the fish grows at a dL dt = 5.0e-0.2t rate (a) Determine the exact change in length of the fish between times t 5 and t 10. (Suggestion: First solve the differential equation using anti-differentiation.) Does the answer to this question depend on the initial condition L(0)? (b) Determine L(t) if L(0)=2 2. Continued (c) Find the approximate change in length of...
upson's Rule with n=4 #5 (9) Use Simpson's Rule wi intervals to estimate ex-l at 16 Find the exact value - A the error. drant of the integral linpartas) and the =0: #5, Use integration by. Seť Int de #7 (a) Evaluate St sin x cos x dic (6) If g(x) = 5 Je tidt, find g'(x) and g'(o). |#8 use partial fractions to find substitution to evaluate $3x(x-3) dx #0 (a). Find 52 sin o do (6) Find the...
For natural number n, an = 1+1+3+--+--log n . x dt By use log x = hen x > 0,· w 1 t Prove that the series is convergence and for any n 2 1, - 0<an n+12n(n+1) For natural number n, an = 1+1+3+--+--log n . x dt By use log x = hen x > 0,· w 1 t Prove that the series is convergence and for any n 2 1, - 0
Chapter 11, Section 11.3, Question 018 With t in years since the start of 2014, copper has been mined worldwide at a rate of 17.9e0.025t million tons per year. (a) Use Euler's method with Δt-1 to estimate values of precision (or higher) for all intermediate computations. CNumber million tons the total quantity of copper extracted worldwide since the start of 2014 until the start of 2018. Use three decimal place 17.9e.025d7 See the figure below. (b) What is the relationship...
EXAMPLE 5 Use the Midpoint Rule with n = 5 to approximate the following integral. dx х SOLUTION The endpoints of the subintervals are 1, 1.6, 2.2, 2.8, 3.4, and 4, so the midpoints are 1.3, 1.9, 2.5, 3.1, and width of the subintervals is Ax = (4 - 175 so the Midpoint Rule gives The 1.9* 2s 313) dx Ax[f(1.3) + (1.9) + (2.5) + F(3.1) + f(3.7)] -0.06 2 + 1.3 2.5 3.1 . (Round your answer to...
162a.) and 166 please 162. The graph of y ext)dt, where t is a piecewise linear function, is shown here. 0 ya 47 3+ 2+ 1- 0 1 / 2 3 4 5 6* a. Over which intervals is { positive? Over which intervals is it negative? Over which, if any, is it zero? In the following exercises, use a calculator to estimate the area under the curve by computing T10, the average of the left and right- endpoint Riemann...
Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.0 ft, b=7.0 ft, c=5.0 ft, d=4.0 ft, w = 13 kips/ft and P = 90 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. w B с D E b с d For this loading, calculate the reaction forces Ay and Ey acting on the...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...