1. Potential in a Disk with B(A) = 1° f(ce**)sin()dx. The solution of the original problem...
1 Potential of concentric spheres A spherical shell with internal radius Rį and external radius R2 has a potential in its surfaces given by 0(R1,0,0) = Vi sin (20) sin(0) and (R2,0,0) = V2 sin (20) sin(0) (V1 and V2 are constants). If there are not electric charges any where inside or outside the shell R R2 (a) Write the general solution for the electric potential o in each of the three regions of interest: r < R1, R; <r...
W60. Compute (sin x + cos x)(4 – 2 sin 2x – sin? 2x)e" dx sin 2x where = 6 (0,7) Mihály Be Pirkulyiev Rovsen W38. Let (an)n be a sequence, given by the recurrence: man+1 + (m - 2) an an-1 = 0 where me R is a parameter and the first two terms of (an), are fixed known real numbers. Find me R, so that lim an = 0 n-00 Tad
Which one is the solution to this equation
(1 + y2 sin 2x)dx – 2y(cos x){dy = 0 denkleminin çözümü aşağıdakilerden hangisidir? 19- x + √y²+1=c O A) xy - Inx=0 B) x-y(cos x)2 = C xye-y - 2 = 0 D) ce-x = y E
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...
Evaluate the following integral. 1/2 7 sin ?x -dx 1 + cos x 0 1/2 7 sin 2x dx = V1 + cos x 0 Score: 0 of 1 pt 1 of 10 (0 complete) HW Score: 0%, 0 of 10 pts 8.7.1 A Question Help The integral in this exercise converges. Evaluate the integral without using a table. dx x +49 0 dx X2 +49 (Type an exact answer, using a as needed.) 0
Problem 6 Evaluate: dx 16 - 22 Hints: sin²x = 1 - cos(2.0) and sin(2x) = 2 sin c cos r. 2 (Show all details.)
Consider the series following series of functions ' sin(nx) 3 n-1 a) Show that the series is absolutely and uniformly convergent on the real axis. Let f be its summation function n sin(nx) b) Show that f E C(R) and that 1 cos(nx) f'(x)= 2-1 c) Show that 「 f#072821) f(x)dx = k=0
Consider the series following series of functions ' sin(nx) 3 n-1 a) Show that the series is absolutely and uniformly convergent on the real axis. Let f...
Let F(x)= dx. Then 1/2 2 + cos(12) F(T) is a 211 b. TT c.1-17 Flav Ce 1
1. If f(x) = (2z? + 52+ 3)", then f,(1) is equal to OB, 10. ° C. 10 In(10) + 9. ○ E.-10. ° F. 10 ln(10)-9. O G. In(10) +9. 2. If g(z) = sin(F), then g'(ㆊ/16) is equal to ○C.TV2. OF-V2 3. If f(x) = sin(e"), then f,(z) İs equal to A. cos(er'). ○ B. cos(2zez?) ° C. 21 cos(e?) 0 D. 2 zer' cos(er'). ○ G.2xe2z sin(er') 4. If h(z) = In (7hT), then h'(z) is equal...
DONT ANSWER MY PREVIOUS QUESTION IN CALCULUS
Expert Q&A 1. (4pts) In both parts a) and b), let f(x)= sin(sin x) and consider the integral J:sin(sin x)dx a) Find K such that If"( < K on [0, π]. C sin(sin) e'cx cos Crinx).corx b) How large should n be in order to guarantee that the Midpoint Rule approximation for f sinsin x)dx is accurate to within 0,.001? 0
Expert Q&A 1. (4pts) In both parts a) and b), let f(x)=...