8 Find the sum of the series. Σ4¹/n-41/(n+1) answers. n=1 Give reasons for your

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

A:

Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A:

Q: A cell phone plan charges $49.55 per month plus $14.02 in taxes, plus $0.60 per minute for calls…

A: Need to write down the piecewise function.

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A: We have to find correct option of given integration by dividing limits.

Q: OLA: Solve the following system by (method of inverse) 2x₁ + 3x₂ = 5 x₁2x₂ = -1

A: Given problem:- Solve the following system by (method of inverse) 2x1 + 3x2 = 5 x1 - 2x2 = - 1

Q: The intervals on which f(x) = x² In x is increasing and decreasing, and the intervals of concavity…

A:

Q: A boat is heading towards a lighthouse who's beacon light is 148 feet above the water. The boat's…

A: Topic = Trigonometry

Q: 3 5 3-x - dx

A:

Q: approximation with 5 subdivisions. 3 2 1 2 3 4 5 6 7 P∞ot 8

A: solution is given below

Q: 50. Find the center of mass of the region bounded by y = x + 2 and u = ² - 4

A:

Q: Let a = . Find a unit vector in the direction of a

A:

Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Find the curvature K of the plane curve at the given value of the parameter. (Give your answer…

A:

Q: Σ (²-2) for j=1 to 50. The summation equals

A: NOTE: Refresh your page if you can't see any equations. .

Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

A:

Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

Q: Suppose the line L crosses the y axis at 7 and L is Tangent to a function f(x) at the point (5,3).…

A:

Q: Evaluate 2 1.³ sin(2x + 3)dx -0.9989 None of them -0.9998 1.21 0.9989 -0.9899 0.9899

A: ∫0π/2 sin(2x+3)dx here we have to integrate then apply limit  integration of sinax = -cosax/a apply…

Q: H.W: Solve the differential equations: dy 1. +2y=ex dx 2.2 dy dx −y=ex/2 159

A:

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

A:

Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

A:

Q: 5. Solve d²y dy dx² dx +2 + 5y = sin 2x, given that y(0)=3, y'(0)=0.

A:

Q: f(t) = sin(wt) u(t) Do the laplace transformation of the math in details.

A: we have F(t) =sin(ωt) u(t)

Q: y-axis about the y-axis 2. Rotate the region bounded by y = 2x², y = 8 and the y-axis about the…

A: Use disk method

Q: Find the radius of convergence for: 3 (n!) ³ (3n)! n=1 xn

A: Recall that the radius of convergence for a series ∑n=1∞anxn is R=limn→∞anan+1

Q: Use an area formula from geometry to find the value of the integral by interpreting it as the…

A: Find the value of integral

Q: Evaluate the following improper integral if it is convergent. S 13 -dx x In x Select the correct…

A:

Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

Q: 25 5.²5 4 Incx √x dx

A:

Q: Consider the double integral f(x,y)=(x²+y2)3/2 over the region R where y is bounded between 0 and…

A:

Q: Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of…

A:

Q: Verify if the indicated equation is an explicit or implicit solution of the given DE 1. y=csc(x+c):…

A:

Q: The length and width of a rectangle are measured as 40 cm and 30 cm, respectively, with an error in…

A:

Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

A:

Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2<x≤356x-2, x>3To find :w so that fx is continuous at…

Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

A:

Q: Let a = (-4, 5, -2) and 6=(-1,0, 4). Find à x b.

A:

Q: Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​…

A: Solution is given below:

Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

A:

Q: Given the curve of y=6-x² and y=x+4. Sketch the graph for -3<x<3. State the intersection points…

A: We can find the area of the bounded by the given curves.

Q: Surface integral is used to find Density O Area O 111

A: surface integral is used to find 1.density 2.area 3.surface 4.volume

Q: Convert (5,2) to rectangular coordinates:

A: Given problem:- Convert (5, π/6) to rectangular coordinates:

Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

Q: If 4x² - y² = 64, show that ds² = 1/2 (15x² (5x² - 16) dx².

A:

Q: The measure of the angle between the three- dimensional vectors u = (0, -1, -3) and V v = (2, 3, -1)…

A: