Problem 7. (6 points) Let f(x) = 5 sin(x) 3 + cos(x) Find the following: 1....
(1 point) Simplify each expression. sin(x) + sin(-2) = sin(20) sin(-x) + cos(-2) cos(x) cos(x) + cos(-x) = Note: You can earn partial credit on this problem. Entered Answer Preview
t F(x)=∫x0sin(7t2) dt. Find the MacLaurin polynomial of degree 7 for F(x). 7/3x^3-49/6x^7 Use this polynomial to estimate the value of ∫0.750sin(7x2) dx. -0.105743 (1 point) Let F(x)sin(7t2) dt. Find the MacLaurin polynomial of degree 7 for F(x) 713xA3-49/6x7 0.75 Use this polynomial to estimate the value of sin(7x2) dx 0.105743 Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 2 times. Your overall recorded score is 50%. (1 point)...
Problem 5. (1 point) Find all the first and second order partial derivatives of f(x,y) 7 sin(2x + y) + 9 cos(x - y). A. = fx(x,y) = B. = fy(x, y) = af C. ar2 = fcz(x, y) = af D. ay2 = fyy(x,y) = E. af деду fyz(x, y) = af F. მყმz = fxy(x, y) = Note: You can earn partial credit on this problem.
HW07: Problem 3 Previous Problem Problem List Next Problem (1 point) Let f(x) = -5+5vX. Then the expression f(x +h)-f(x) can be written in the form VBx + Ch) + (7) where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = 3 C = 0 Use your answer from above to find Lim (x +h)-f(x) 10 lim f(x+h)-f(x) Finally, find each of the following: f'(1)...
. Let f(x) = 22,3 + 5 sin x + 4 cos x. Find (Ji ),(4) 1 . Let f(x) = 22,3 + 5 sin x + 4 cos x. Find (Ji ),(4) 1
-10.7 POINTS Let f(x) = cos X - sin x for OS X S 27/3. Find the area A of the region between the graph of f and the x-axis on the given interval. (Hint: Where is f(x) > 0 and where is f(x) < 0?) 12. -70.7 POINTS Let F(x) = [5 (1 + 4314 de . Then F'(x) =
Problem 2. (1 point) Let F(x) = ss flodt, where f(t) is the graph in the figure. Find each of the following: A. F(2) = 0 B. F'(5) = 3 6 7 C. The interval (with endpoints given to the nearest 0.25) wfſero F is concave down: Interval (1.25,6) (Give your answer as an interval or a list of intervals, e.g. (-infinity,8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where F takes its maximum...
Problem 2. (10 points) Let y = V6 – x. Find the differential dy when x = 1 and dx = 0.2 Find the differential dy when x = 1 and dx = 0.04 Note: You can earn partial credit on this problem.
(1)Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j (2) Let F(x, y, z) = (2exz, 3 sin(xy), x7y2z6). (a) Find the divergence of F. (b)Find the curl of F. -/3 points v MARSVECTORCALC6 4.4.017. My Notes Ask You Calculate the scalar curl of the vector field. F(x, y) = sin(x)i + 6 cos(x)j -/8 points v MARSVECTORCALC6 4.4.023. My Notes Ask You Let F(x, y, z) = (2x2, 3 sin(xy), x?y2z6). (a) Find...
g(t) = sin(6t – 8) cos(5t? + 4t). g' (t) = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor (1 point) Let f(x) = V22 +5. f'(x) = f'(2) = F(2) = Note: You can earn partial credit on this problem. Preview My Ansvars Submit Anchor