2.) Determine whether the geometric series is convergent or divergent. If it is Σ(13) " n=1 convergent, find its sum.

Q: ⒸFind S (x- y²) dA, where I is bounded by the circle of D center (0,0) and radius 2.

A: As per as our guidelines i am supposed to answer

Q: Match the given differential equation with one or more of the solutions. (Select all that apply.)…

A: Substituting the given values of y in the differential equation

Q: 0, -5<z<0 92, 0≤z<1 then 11, 1<x<5 E If f is the Fourier series of g(x) = f(z)- What does f(-5)…

A:

Q: Evaluate: lim, 1+ (-1)2 tan(x)

A: Evaluate the following limit

Q: Z = 5 X 4 2 -7x+8 d²z dx2

A:

Q: 10 Let u= (1, 2, -1) and v= (3,-1,2) be two vectors in Rª. Which of the following is a normal vector…

A:

Q: Find the integrating factor by inspection then solve the following differential equation. Show your…

A:

Q: 3. 21 ) f(x) = 3x + 1 [1,3] n=3 a=1 right left & middle hand rule b=3

A: To find out the left, right and midpoint riemann sum.

Q: Question In the figures, are corresponding angles congruent? Are corresponding sides proportional?…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Given the graph below, what can you say about the function at x = 0? Continuous Not Continuous

A:

Q: Simplify your answers For f(x, y, z) = ln 2+2+ z cos(x + y) + arctan (2) Find f2, 5, and D23 dy

A:

Q: U dou U 3 cz³ Ox² x³y² 2 Z Oy + 3 x ³ yz

A: Given :u=x3y2z2+x3yz

Q: A full tank consists of a hemisphere of radius 4 m surmounted by a circular cylinder of the same…

A:

Q: In (x-2)* In sketching y O no horizontal asymptote O y = 0 and y = 3 O None of the choices O y = 3 O…

A: In this question we have to find the Horizontal asymptote. Note: As per our policy we are suppose to…

Q: When is a function Fan antiderivative function f? of a if F(x) is continuous for all x in the domain…

A: We know that,  if a function F( x) is called an antiderivative of a function of f( x) if      F'(x)…

Q: The graph of f is given below. -2.5 -2 -1.5 Why is f not differentiable at x = 0? Of is continuous…

A: Given graph of a function f.

Q: 4.2.2. Find the integrating factor by inspection then solve the following differential equation.…

A: A detailed solution is given below.

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A:

Q: 3 f(x) = x³ + 2 right left [-1,1] n = 2 9=1 & middle hand rule b =

A: find out the left, right and mid riemann sum.

Q: Evaluate: limt o sin 3t t5 (t-1)² using L'Hôpital's

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What is the derivative of y = sin (x³ – 3x)?

A:

Q: What is the equation of the tangent line to the curve y=x^ +2x −x+8 where x = 1? y = 7x - 3 y = 7x…

A:

Q: 2. According to Hooke's Law, the force required to stretch a helical spring is proportional to the…

A: According to Hooke's law, F is proportional to x. where F is the force and x is the distance.…

Q: Evaluate the line integral F. dr where F(x, y, z) = x²y i+ x³ j+e² tan-¹ z k and C is the curve of…

A:

Q: What is the derivative of y = (3x + 1)? 21 dx dy = 6 (3x + 1)²¹ dx 6 (3x + 1)² dy dx = 7 (3x + 1)6…

A: To find the derivative of the given function

Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

A:

Q: Let f denote the function if x < 2; 1 f(x) = if x 2. Which of the following is true about f? Of is…

A:

Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

A:

Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

A:

Q: 12 Let A be a square non-invertible matrix. Which of the following is not true? Select one…

A:

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

A:

Q: Use a table of integrals to evaluate the following indefinite integral. The integrals may require…

A:

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2), find f' (5)=

A: Given problem:- If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2) Find…

Q: Write the first five terms of the sequence: +∞ {√n² + n n n=1 Determine whether the sequence…

A: The given sequence is;  (sqrt(n2+n) -n).

Q: Find the volume of the solid formed by revolving the graph of y = 2e- on the interval [0, ∞) about…

A:

Q: If lim f(x) = ·∞ then which of the following is true?

A:

Q: Evaluate: lim-0 (cos 2x) 2²

A:

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3, 3] is sho below:…

A: Here, the function is continuous on: (-3,-1)∪(-1,3)

Q: For the function f(x), whose graph is shown below in blue, find lim /(x). The red vertical dashed…

A:

Q: Given a function f(w, x, y, z) = y ln(wx) + (+1) tan z, which of the following is not part of the…

A: follow next step

Q: -21 Give a general solution of the differential equation y"-2y'-8y = 3te ²¹.

A:

Q: Given a function f(w, x, y, z) = 2(w + 1)² x − xe²+, which of the following is not part of the total…

A: Given a function fw, x, y, z=2w+12x-xez+y2zw, to determine which of the following is not part of the…

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

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

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Solve the following

Q: (y³ - 3x²y + x³ - 4x) dx + (3xy2 - x³ + 8y³ +y + 5) dy = 0 I. f(x, y) = M(x, y) dx + g(y) II. Find…

A:

Q: Suppose a person is going up in a hot air balloon. The surrounding air temperature in degrees…

A:

Q: Give a general solution of the differential equation y"+4y=-3 sin 2t.

A:

Q: Given f(x, y, z) = xV/x² - yz - - Determine of дz . O of дz of дz af дz of дz = = x² - у 2√x² - yz…

A: Find the derivative

Q: Calculate the iterated integral. 36 LTC + ar X dx

A: Solve the following