Questions asked
Craig West
Numerade educator
Give a geometric explanation of Newton's method. Choose the correct answer below. A. Newton's method generates a sequence of y-intercepts of lines tangent to the graph of f(x) to approximate the roots of f(x). B. Newton's method generates a sequence of x-intercepts of lines that intersect the graph of f(x) to approximate the roots of f(x). C. Newton's method generates the x-intercept of a single line tangent to the graph of f(x) to find the roots of f(x). D. Newton's method generates a sequence of x-intercepts of lines tangent to the graph of f(x) to approximate the roots of f(x).
Israel Hernandez
Suppose that f and g are continuous and that ?5 to 9 f(x)dx = - 3 and ?5 to 9 g(x)dx = 9. Find ?5 to 9 [4f(x) + g(x)] dx. A. - 3 B. 24 C. 13 D. 33
Find the total area of the region between the curve and the ( x )-axis. [ y=frac{3}{x^{3}} ; 1 leq x leq 3 ] A. ( frac{1}{2} ) B. ( frac{4}{3} ) C. 3 D. ( frac{1}{3} )
Find the values(s) of ( x ) at which the given function equals its average value on the given interval. [ f(x)=sqrt{x+1} ;[0,24] ] A. ( frac{880}{71} ) B. ( frac{879}{83} ) C. ( frac{884}{81} ) D. ( frac{880}{81} )
Find the area of the shaded region. A. 22/3 B. 25/3 C. 26/3 D. 23/3
Tim Thornhill
Find the average value of the function over the given interval. f(x) = - 2x + 4 on [ - 4,2] A. 12 B. 2 C. 6 D. 36
Express the limit as a definite integral. lim ?xk?0 ? k=1 to n 7x?k^6 ?xk; [4,14] A. ? 14 to 4 7x^6 dx B. ? 4 to 14 7x^6 dx C. ? 1 to n 7x dx D. ? 4 to 14 42x^5 dx
The graph of f is shown in the figure. Let A(x) = ?_2^x f(t) dt be an area function for f. Find A(4). A. 16 B. 2 C. 7 D. -7
Find the area of the region between the curve ( y=3^{2-x} ) and the interval ( 0 leq x leq 2 ) on the ( x )-axis. A. ( frac{8}{ln 3} ) B. ( 8 ln 3 ) C. ( frac{9}{ln 3} ) D. 9
Ivan Kochetkov
Evaluate the integral using the given substitution. [ int frac{4 s^{3} d s}{sqrt{7-s^{4}}}, u=7-s^{4} ] A. ( frac{-1}{2 sqrt{7-s^{4}}}+C ) B. ( -2 s^{3} sqrt{7-s^{4}}+C ) C. ( -2 sqrt{7-s^{4}}+C ) D. ( frac{2 s^{4}}{sqrt{7-s^{4}}} )
