8. Given the graph of the function f, use area to compute f(x) dx. y y=...
8 AY 10- Compute the following estimate of Sf(x) dx using 8- y=f(x) the graph in the figure. 6- T(4) 4- 2- X 0 0 2 4 6 00- 10 Using the Trapezoidal Rule, T(4) = (Type an integer or a simplified fraction.)
5 Draw a computational graph to compute the function f(, y) ( graph to compute f (2,3) -y). Use the Draw a reverse mode graph to compute the derivatives f/0x and อ//ay for f 3( y). Use the graph to find those derivatives at 2 and 3. 6 5 Draw a computational graph to compute the function f(, y) ( graph to compute f (2,3) -y). Use the Draw a reverse mode graph to compute the derivatives f/0x and อ//ay...
1. Find the area under the graph of the following function over the given interval. y = 6- x2 [-1,2] 2. Evaluate. S(x2 + x – 4)dx 3. Find the area of the region bounded by the graphs of the given equations. y = x2 – 2x y = 2 - x
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.)
For problems 8-12, use the graph of y=f(x) and the table for g(x) and g'(x) to compute the indicated derivatives. Write your final answer and only your final answer) in the space provided. Answers should be exact and fractions should be used where appropriate (do not use numbers in decimal form). 1 -4 -2 g(x) 2 5/2 3 14/5 &'(x) 7/5 1/2 1/4 -1/4 0 2 قيا 2 - 1 -2 - 1/2 4 0 5 6 8 1 6...
y=f(x)y=f(x) is the function illustrated below, defined only on x∈[0,4]x∈[0,4]: Compute the Fourier coefficients for f(x)f(x). A0=1L∫L−Lf(x)dx= ? At least one answers above NOT correct. 14 of the questions remain unanswered. (1 point) y f() is the function illustrated below, defined only on r E0, 4: 1 e Compute the Fourier coefficients for f(r) For this questlon, we wll reflect the graph around the y-axls to get an even function: We get L4 f)dae = [-9/8 A At least one...
(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)...
2. E F Given the graph above find the following net area: a. Së f(x) dx b. Së f(x) dx c. Sc2f(x) dx d. Sº if(x) dx e. Sflf (x)]dx f. Si f(x) dx
Exercise 6. The graph of a function f(x) is given. Using the geometry of the graph, evaluate the definite integrals. - 1 2 3 4 51 $*(dx los pcdx S'f(x)dx les srcade (o) f(x)dx 19 P-2f(x)dx
6. Find the exact value of ,* f'(x) dx, if the graph of f(x) is given below. 6 5 3 3 2 1 0 2 3 4 5 6 7 8 9