Assume that S = Σ(-1)"-¹. 999 9 99 8 O 1000 10 1 (n + 1)5 n=1 n=1 Find the smallest integer N such that S - SN| < 10-10. and SN = N Σ(-1)n-1 1 (n+1)

Q: Find the solution of the given initial value problem: y(t) = y" + y = sec(t), y(0) = 11, y'(0) = 5,…

A:

Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: We will use properties of partial fraction

Q: Find the Laplace of f(t)= (t-2) (t+2)e-3t

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: The value of the x for which the graph crosses the x-axis will be the solution of the equation.

Q: Write the trigonometric expression as an algebraic expression. cos(arccos 5x − arctan x)

A: Topic:- trigonometry

Q: D Question 12 or the function f(x) whose derivative is graphed above, mark all true statements…

A:

Q: Using an appropriate substitution, the integral x³ csc²(x¹) cot(x4) is equal to -dx

A:

Q: Hello! I need help on this question. Question number 1 with all work shown please!:) And thank you.

A: Topic:- application of derivatives

Q: Find the radius of convergence, R, of the series. R = 8 Σ n=1 I = xn 135.. (2n-1) Find the interval,…

A: We have to find the radius of convergence, R, of the series ∑n=1∞ xn1·3·5· ⋯ · 2n-1. Also we have to…

Q: Find the radius of convergence, R, of the series. 8 Σ +47 n = 2n(ln(n))² R = Find the interval, I,…

A:

Q: How did he get the value (jw) ² x 10) = Uw)² x1w) = w2x/m) 1 inside the circle wa) A е (b-a) [ (@jwb…

A:

Q: 1 Defennire it the following series is Convergent divergent. E n=1 3 ²+2

A: since multiple questions are asked, I am answering first question

Q: A linear function is given. A(r) = − 2/3 r − 6 (a) Sketch the graph.   (b) Find the slope of the…

A:

Q: -2 - 1 How did he get the value inside the circle 1-t x (t) = ૧ 1-t 2

A:

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = Si + 5j + k v = i + j +…

A:

Q: Solve the equation. (Enter your answers as a comma-separated list. Use n as an integer constant.…

A:

Q: f(x) = log5 (2x + 1).

A:

Q: use the if f₁ (t) properties of Fourier transform ē at ult) = JF.T =jº f(t) = ³wt dt 88 Seat, ejut…

A:

Q: -u (w) = 3/w + πT (1) jw [{Br_mn]}x+(®on+m]x] } 2²2 ↑ 5

A:

Q: A truck with 26-in.-diameter wheels is traveling at 45 mi/h. Find the angular speed of the wheels in…

A: We know that 63360 inches = 1 mile.60 min = 1 hourGiven45 mi/h = 45/60 miles/min = 0.75…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium 100 has been reduced…

A:

Q: Case Scenario/Problem Real World is television production company that manufactures movies. The…

A:

Q: f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)…

A:

Q: 2 Find the F.T. of the following Signals (functions) b. f(t) = u(t) Coswet. -at a. f(t) = te. S Sul…

A: [2] (a)  Given f(t) = te-at We have F[e-at] = 1/(a+jw) From the formula F[tne-at] = n!/(a+jw)n+1…

Q: Which of the following is a general solution in implicit form? A B C D y=ccosx y=In(cosx+B) + C y =…

A: topic- differential equation Any solution in the form y=y(x) is in explicit form. solution in any…

Q: Find the maximum value of f(x,y) = 14-x² - y² on the line x + 3y = 10.

A: Solution of given question is written in below steps.

Q: Using the trapezoidal rule with n = 5, approximate the integral L' TO S³ give the error of…

A: Trapezoidal rule formula: ∫abf(x) dx=h2(y0+yn)+2(y1+y2+...+yn-1) Given ∫03dx16+x2 Here f(x)=116+x2…

Q: How did he get the value inside the circle by ===//= √xlt) sin (nwot) dit bn cl 11 2 (= (₁-7) Sin…

A:

Q: The following are differential equations except A y" - 2cosx=5 B C D dy x+y dx x-y y" - 2y +5=0…

A: We can find the equation which is not a differential equation as below.

Q: Evaluate the triple integral. III. 5z dv, where E is bounded by the cylinder y2 + z2 = 9 and the…

A:

Q: The general solution of xy' = -x3³y-csc (xy) is A B C D 2x²cos (xy)+1=cx² -2xcos (xy)² + 1 = cx²…

A: Please see the below picture for detailed solution.

Q: MY The derivative with respect to x of the function y=-3tan-¹x-(In 3) log, (csc x) is y' = cotx + O…

A:

Q: ydy 4. S (1 + 3²) ² 4

A:

Q: The particular solution of y(x+y) dx + (x + 2y − 1) dy=0; y(0) = 2 by NEDE is A B C D x(x+y=1)=4e-x…

A:

Q: Evaluate the iterated integral below. π T/4 A lago S. 0 1 y cos (x) dy dx

A:

Q: Evaluate the iterated integral below. π 1 4 S*S'y cos (x) dy dx Só 0

A:

Q: If k> 0 such that O St the above 4* dx = 3 then k = 2ln 2

A:

Q: 5. (3x −17) dx / (x² − 6x + 10) 6 ((tan v) 1/3 sec4 v dv

A: We have to find out integral

Q: Find the area of the region common to the interiors of the cardioids r= 1 - sin 0 and r= 1 + cos 0.…

A:

Q: Find the solution of the given initial value problem:

A:

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

A:

Q: Test for convergence or divergence, using one of the tests listed below. Σ(²1-042) n+1 n = converges…

A:

Q: 1. f(x)=x²+2x+1 & f(x) = 2x+5

A: To find the area between the curve.

Q: Let f(x) = sin x and g(x) = ex. If y = f(g(x)), what is y'(0)?

A:

Q: Evaluate the limit: lim 2-8 x² - 12x + 32 2-8

A:

Q: Compute the gradient of the following function and evaluate it at the given point P.…

A:

Q: function is given. g(x) = 7 + 1/2x;    x = 1, x = 7   (a) Determine the net change between the…

A: Topic:- calculus

Q: f(t) = 3 Sgh(st) - ans: F(W) = 2013 1+jt гпе

A:

Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

A:

Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1