8 AY 10- Compute the following estimate of Sf(x) dx using 8- y=f(x) the graph in...
8 Ay 10- Compute the following estimate of f(x) dx using 0 8- y = f(x) the graph in the figure. T(4) 6 4 2- 6 00 N 10 Using the Trapezoidal Rule, T(4)= (Type an integer or a simplified fraction.)
Find the solution of the following initial value problem. y'' (t) = 6te! y(0) = 3, y'(0) = 1 y(t) = Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when Ris revolved about the x-axis. y = 21 - x, y=x, and y = 0 Set up the integral that gives the volume of the solid. Use increasing limits of integration. Select the correct choice below...
10. Trapezoidal Rule is used to approximate the integral f(a) dx using 1- (yo +2y1 + 2y2 + x-na b-a + 2yn-1 +%),where Use this approximation technique to estimate the area under the curve y = sinx over。 a. π with n 4 partitions. x A 0 B: @ Δy B-A b. The error formula for the trapezoidal rule is RSL (12ba)1 where cischosen on the interval [a, b] to maximize lf" (c)l. Use this to compute the error bound...
Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and circular arcs. 10 1010 10 HERE AIAH 21 RETH 2 NIE OHHH 0 2 4 6 8 ot 0 10 2 4 6 8 10 a. [) dx = 0 (Type an exact answer, using a as needed.) be prove dx = 0 (Type an exact answer, using a as needed.)
womplete) Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and circular arcs. O. NO 0 0 2 4 6 8 10 0 2 4 6 8 10 a. Jf(x) dx = 0 (Type an exact answer, using as needed.)
Refer to the graph of y=f(x)=x2 + x shown. Answer parts A-D as an integer or simplified fraction. a) Find the slope of the secant line joining (2, f(2)) and (4, f(4)). b) Find the slope of the secant line joining (2, f(2)) and (2+h, f(2 + h)). c) Find the slope of the graph at (2, f(2)). d) Find the equation of the tangent line to the graph at (2, f(2)). 18- 16- 14 12 10- 8- 6- 49...
(8) Find the area of under the graph of y=x?, y = x between x = 0 and x =1. (9) Evaluate, (a) using trapezoidal rule, (b) using Simpson's rule: dx n=4 (10) Solve the initial value problem. f "(x) = x2 + x +1; f'(0)=2, f(0) = 3. (11) Solve : (x2+1) + 2xy = x' + x (12) Solve : i - celoy, y(t) =-2 (13) Find partial derivatives up to second order: f(x, y)=(x+xy+y)(x +xy+1) f(x, y)...
8. Given the graph of the function f, use area to compute f(x) dx. y y= f() 3 2 1 2 -1 4 ce
The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where f is the function whose graph is shown below. The estimates were 0.7811 0.8675, 0.8632, and 0.9540, and the same number of subintervals were used in each case. (a) Which rule produced which estimate? ?1. Trapezoidal Rule estimate 2. Right-hand estimate 3. Left-hand estimate N4. Midpoint Rule estimate (b) Between which two approximations does the true value of o fa) dx lie? A. 0.8675 β...
Ay A point P(x,y) is shown on the unit circle corresponding to a real number t. Find the 20 21 values of the trigonometric functions att. The point P is 29 29 O 0 (1.0) sint=(Type an integer or a simplified fraction) COS (Type an integer or a simplified fraction.) Tant-Type an integer or a simplified fraction.) sct (Type an integer or a simplified fraction.) ect Type an integer or a simplified fraction) Type an integer or a simplified fraction)...