please show all work and match the answer choices! thank you! 1 216 Cos 6x +...
EXAMPLE 2 Find sin$(7x) cos”7x) dx. SOLUTION We could convert cos?(7x) to 1 - sin?(7x), but we would be left with an expression in terms of sin(7x) with no extra cos(7x) factor. Instead, we separate a single sine factor and rewrite the remaining sin" (7x) factor in terms of cos(7x): sin'(7x) cos”(7x) = (sinº(7x))2 cos(7x) sin(7x) = (1 - Cos?(7x))2 cos?(7x) sin(7x). in (7x) cos?(7x) and ich is which? Substituting u = cos(7x), we have du = -sin (3x) X...
please show all work thank you 2. (4 points each) In the space provided, take the derivative of each of the following functions. Make sure to use the appropriate notation for the derivative of the given function. (a) y = sin(x2 – 7) (b) y = (cos x)(tan x) (c) g(x) = (d) G(x) = sin? (720) 3х (e) y = x2 (f) F(p) = (1 – 4p2)3 (g) y = [arctan(t)][In(5t)] – 4 (h) f(x) = V5x3 – 7x...
solution for all 4 please In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
7. please show all work specify which letter answer A mass weighting 4pounds spring at cred to spring whose spring constant is siblft. pdf what is the mass m? what is the o E3 what is equation of motion (gereral solution) a) m = 3, +8x=0, x=Cicos8t + G Singe () weg, 802, dx? *8x=0, x= ci las Ft + ca Sinize 8 x=0, x=6, Cost Sint d) m=4, 4d² dxz tx=0, x=C, cos Ž + + C₂ sin /...
Please answer number 2 & not number 1 Ln(x) e = x Exercises VI 1. (Bonus) Prova 2. Find the general solution. z = 7? COS (*) = 2ze (a) y + 4y (b) y + sin(x) y dy + xy dx (d) dy + 2y (e) dx (c) 2 χ 8x² cos? (x) dx ت = ay dy sin (3x) dx - Х dy = Ln(y) dy
Please solve both parts and box your answers, and I will rate your answer with a thumbs up. Thank you! Use Green's Theorem to evaluate the line integral (y – x) dx + (2x - y) dy for the given path. C: boundary of the region lying between the graphs of y = x and y = x2 – 8x Need Help? Read It Watch It Talk to a Tutor 2/1 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 15.4.012. Use Green's Theorem...
Please show all the work so I can understand Thank you!!! Simplify the following 1. cos(–3x) cos(-x) – cos (6 – 3x) sin(-x) cos (5 – ) - 1 2. 2 cos 3. sin12º – sin8°
can someone help me solve #5 and please show work, thank you! 5.5 EXERCISES 1-6 Evaluate the integral by making the given substitution. 1. cos 2x dx, u= 2x 2. | xe dx, u = -x x3 + 1 dx, u= x + 1 sin cos e de, u = sin e - dx, u=x4 - 5
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
Please fill in all the blanks and show your work. Video Example) Tutorial Online Textbook EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z = 3x2 + 3y2, above the xy-plane, and inside the cylinder x2 + y2 = 8x. SOLUTION The solid lies above the disk D whose boundary circle has equation x2 + y2 = 8x or, after completing the square, (x - 1 x)2 + y2 = 1 In polar coordinates we...