Find the Fourier series for the periodic function: if - 1

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

A:

Q: The doctor has ordered Librium 25mg IM. The vial is labeled Librium 100mg. The directions state to…

A: Given Quantity of Librium ordered = 25mg Vial labeled Librium = 10 mg Water to be mixed with 100 mg…

Q: Use the alternative form of the derivative to find the derivative at x = c (If it exists). (If the…

A: Given hx=x+8, c=-8

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the second derivative of the function. f(x) = sec x f"(x)= sec x sec x(sec² + tan² 2 tan²x)…

A:

Q: 2-if (x - y) (x + y) = 1 prove that d²y + y dx² (2x)² = 1 dx

A: Topic:- application of derivatives    Note:- as per our guideline if more than one question uploaded…

Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 -2 y 2 2 4 4 6 X 8:34 2 -6 -4 -2 -4 y -2 6 2 -2 -41 -6 2…

A: The objective is to solve the above question.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² 2. y" + 2y +…

A:

Q: Find the derivative of the function without using the Quotient Rule. Step 1 Rewrite the equation so…

A: Given y=1112x5

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1. Vertical cross-sections…

A: Given the base of 3-D figure is found by y = sin(x) + 1. The cross sections are vertical and…

Q: 5n i\n +1 Σ– n=1

A:

Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

A:

Q: T Sin ³ de 3 1-cose

A: I have stated the used formulas in the solution

Q: Simplify the expression: (1 + cos a)(1 — cos(-a)) O sin² a 2 cos a 1 + 2 cos a + sin² a sin a

A: We have to solve the expression

Q: Making a suitable change of variable and modifying accordingly the limits of integration, calculate…

A: Concept: Integration: Integration is the process of connecting the parts to create the whole. We…

Q: - Problem 2: x³y"" − 3x²y" + 6xy' - 12y = 2x¹ + lnx

A: The given differential equation is;  x3y'''-3x2y''+6xy'-12y=2x4+lnx.

Q: Find anti derivative of    3cos(x)-7x4+2x5

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x3, x = 9,…

A: We have to find the volume of the solid obtained by rotating the region bounded by the given curves.

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. the measure of the…

A:

Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: (3) What is the Definite Integral of a function f from a to b?

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

Q: 8) Solve the differential equation by using integrating factors. xy' = 6y + x2 y(x) =

A:

Q: If the rate of change of Q is directly proportional to Q, and if Q(0) = 100 and Q(4) = 440, find k,…

A:

Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0

A: I am attaching image so that you understand each and every step.

Q: Perform the calculation. 90° - 58°20' 32°20' 31°20' 31°40' 32°40'

A:

Q: If (x + 1) dx A B S + 2 (x + 2) (x - 1) ² = √ √(x + 2+ = -²1 A (B) O E 1 9 1 9 1 2 9 3 2 3 2/3 None…

A:

Q: (1) Theorem: The area A of the region bounded by the curves y = f(x), y = g(x), and the lines x = a,…

A:

Q: explain

A: Displacement is the shortest distance between two point.

Q: If the number of sales is inversely proportional to the price of a product, write the differential…

A:

Q: Please answer completely. Step by step. Evaluate. ग ? Sin ³ de 3 1-coso

A:

Q: Two 766 newtons. Find the angle 136.3° 163.4° 13.1°

A: topic:- vector algebra

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A: Given, f(t)=t2e-4t

Q: Use two methods to find the area bounded by y=e-1, y = 2e-1 and the y-axis y = x-x 1

A: The area is bounded by y = x/(1-x) , y = e-1, y = 2e-1and y -axis. The region bounded by curves is…

Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: Use the Laplace transform to solve the given system of differential equations. dx dt dy = 5x - y dt…

A:

Q: If [ ½ dx = 1⁄2x + 3, which of the following statements is true? / / / / dx # 1/1/2x + 3 0 / dx = x…

A: We can answer the question as below.

Q: 4. Let g(x) = f(t)dt, where f is the function whose graph is shown. (a) At what values of a do the…

A:

Q: Use a double integral to find the volume of the indicated solid. X 5 4 3 CH N z=6-2y 2 0≤x≤4 0≤ y ≤2

A:

Q: 16. I. g has a jump essential discontinuity at z = 1. II. g has an infinite essential discontinuity…

A: We need to determine discontinuity.

Q: D. (Bernoulli Differential Equation) Find the general (or particular) solution of the given…

A:

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A: Recall: log ab=b log a log(ab)=log a+log b

Q: 1-Show that the function defined by the base harmonic function f(x, y) = ex cos 4y

A: As per our expert guidelines we are allowed to solve only one question. kindly repost others. thank…

Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

A:

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A: Our Aim is to find the sum of the first 6 terms of the following sequence givenbelow:-8, 4,…

Q: how

A: Please refer to the image below

Q: For items 1 to 10, determine 1. y = 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√√x 3. y = e-sinz 2. y=-- (A)…

A:

Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…

A: Let's find double derivative of function.

Q: Rewrite the integral using substitution: ₁x² cos(x³) dx 125 (cos u) du 25 ²5 (cos u) du 125 (cosu)…

A:

Q: In Evaluate the integral: Sé e x²+3x-7 x-2 dx

A: Option (b) x22+5x+3ln|x-2|+C