Solve the following ODE. y' = 2y + x x

Q: Determine the type of function shown in the graph below. a) Polynomial function

A: We are asked to determine the graph of the function

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in…

A:

Q: The infinite series Στη O series liner O p-series O geometric series O harmonic series n is a

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A:

Q: Let F(x) = f(f(x)) and G(x) = (F(x))². You also know that ƒ(3) = 9, ƒ(9) = 2, ƒ'(9) = 15, ƒ'(3) = 13…

A: Given Fx=ffx Gx=Fx2 f3=9, f9=2, f'9=15 and f'3=13

Q: 3 14 f(x) dx where a = 5 - ["² f(x) dx = [ f(x) dx 3 a and b =

A:

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A:

Q: Evaluate the indefinite integral sin² t cos³ tdt = + C

A:

Q: Find the arc length of the graph of the function f(x) = ln(cos(x)) ㅠ π [153, 5 Use the tables to…

A: Arc length of y=f(x) on a, b is  L=∫ab1+f'x2dx We have f(x)=lncosx given interval π9,π5

Q: (a) The complex number 2=-1+/ in polar form is z = (b) The complex number z = 2( z = (c) The complex…

A: Since, you have posted multiple questions, as per guidelines, we"ll solve only first question. If…

Q: Find dy. dx Please, expert, I do not have much money. Solve as many questions as possible, please…

A: To find the derivative of the given functions.

Q: Jeu with the top of the building.) Two sides of a right triangle ABC (C is angle. Give an exact…

A:

Q: g(x) = (9) Find the critical values for x² + 4x+4 X

A:

Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

A:

Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: A television camera at ground level is 2000 feet away from the launching pad of a space rocket is…

Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A:

Q: 53. y' - y = ex/y

A:

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

A:

Q: onvert the following to rectangular coordinates and spherical coordinates. Do not evalua tegral.…

A:

Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

A:

Q: √x√x-2 dx

A:

Q: (a) √3x³ + 3x - 2 dx (b) √3x²+√x dx √x (c) főz (z ² − z− ¹) dz (d) 2² (3−u)(3u + 1) du

A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If…

Q: [2re™² dr a. 2xe*² + C b. x20x³ 3 @. ex² + C d. x²e² + C + C

A:

Q: (2xy + y) dx + x (x + 1) dy = (x² - 1)dx

A:

Q: 10. y = In(xtan y)

A:

Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

A:

Q: Differentiate the following. Do Not Simplify. y=(sin x)(lnx) b) y = (e² + √√cos x) c) y = = a)…

A: To differentiate the following.a y=sin xln xb y=ex+cos x37c y=1-tan x3x3

Q: 5) Evaluate x² +1 4x³ + 12x dx

A:

Q: 20) Differentiate f(x) = cos(e*)

A:

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: Use summation properties and formulas to rewrite and evaluate the sum. 31 Σ [(3i)² – 6i] - i=1

A:

Q: Find the curvature (t) of the curve r(t) = (−4 sin t) i + (−4 sin t)j + (1 cost) k

A:

Q: Solve this asap

A:

Q: Find dy dx dy if y dx = x³ + 8x + 6 x² - 5

A: Given: y=x3+8x+6x2-5

Q: Explain how the fundamental theorem of calculus relates integrals and derivatives. Formats T B T U…

A: Fundamental theorem of calculus relates integrals and derivatives.

Q: Find the following using the table below. X 1 2 3 4 2 f(x) 3 4 1 ƒ'(x) 2 1 4 3 g(x) 1 4 3 2 g'(x) 1…

A:

Q: С 20 3x-1 хр. -X (3+3 (2) j² dx a Лх lo XS хр sự X Сў-12.d:

A:

Q: с хр. I + X (1+x) ''војо

A:

Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

A: Given x2+y2=4 x+z=2 x=0, y=0 and z=0

Q: QUESTION 10 Use cylindrical coordinates to evaluate the integral below. √x² + y²dv, where E is the…

A:

Q: Find the equation of y, given the derivative and the indicated point on the curve. dy dx = 2x - 1 y…

A:

Q: x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your…

A: Topic:- application of derivatives

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A:

Q: Solve the differential equation [x a. b. C. d. y tan-¹ (²2)] dx + x tan¯¹ (2/1) dy = 0 c²(x²+y²) 2x…

A:

Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: Find a function y(x) such that 6yy' = x and y(6) = 3. y =

A: The objective of the question is solving the differential equation.

Q: Consider the function f(x) = x 52+4 x + 1 a. Find the first derivative. f'(x) = b. List any critical…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: 1. y=es²

A: