Test the series below for convergence using the Ratio Test. 67-1 n=1 The limit of the ratio test simplifies to lim f(n)| where n- 00 f(n) = %3D The limit is: (enter oo for infinity if needed)

Q: find the approyimate Valueof:

A:

Q: Use the first four nonzero terms of a series to estimate the following integral's value. 0,3 | sin…

A:

Q: [3 2 A = 26 find the general solution of 4 y' = Aỹ + g, g = =

A:

Q: The average blood alcohol concentration (BAC) of eight male subjects was measured after consumption…

A:

Q: Given the differential equation y' = 5x2 y4 Find the Implicit derivative " dy/dx" of the function.…

A:

Q: Find the volume of the space inside the sphere xty2=2 and outside the Cyhinder

A:

Q: find the afproyimate Value of

A:

Q: Rewrite the product as a sum or difference. sin(-x) sin(3x)

A: Topic = Trigonometry

Q: D. e ind the Residues of function

A: The given function is ez-1z To find residue we first calculate  and classify singularities of the…

Q: Also

A:

Q: -37 dx

A:

Q: Solve the pic using integration by parts. Do not use other method. Show the complete solution and do…

A:

Q: y=3 13 x-3-y 3

A: V = 2π∫ yf(y)dy f(y) = 3 -(3-y2) f(y) = y2 +3 -3 now limit from 0 to 3  V = 2π∫03 yf(y)dy V = 2π∫03…

Q: Find the absolute maximum and minimum values of f(x) = -(x² + x) interval [-3, 4]. over the absolute…

A:

Q: sin(nx)dx |sin(nx)dx (xcos(nx)dx

A:

Q: | 2f(x) + ldx

A:

Q: Solve by FDM with two Dirichlet BCs. d²y ET 2. 2.

A: Solution:  Given that,

Q: Find the tangent lines as directed. To the ellipse x²+2y²=9 perpendicular to the line 4x-y=6

A:

Q: [x* sin 3.xdx

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y= 11 x,…

A:

Q: The double integral R f(x, y) dA over the region R = {(x, y)| – 2 <x< 2, x² – 8 < y < -x²} can be…

A:

Q: fi(x) 1 A = {fi, f2, f3} c F(R) and f(x) = f:(x) = |x+ 1| PROVE: A is linearly independent. (A L.I.)

A:

Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

A:

Q: 1: Find the arclength of the a, curve V1 - x, 0 < x s 1, Is the given series 2 - 1 + 2 1 + 4 ... a…

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

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in…

A:

Q: 6. Which of the following is continuous at all points? B) f(x) = **+2x-35 ズ-5 xマ-4x-5 A) f(x) = x-5…

A:

Q: Use hyperbolic functions to parametrize the intersection of the surfaces x2 - y = 9 and z = 5xy.…

A:

Q: Given the equation y = 5 In| 6y | Find the Implicit derivative " dy/dx" of the function. You will…

A: We can find the derivative as below.

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A:

Q: dw dw and dv du Express as functions ofu and v. dw du dw dv dw dw Evaluate and du du (Type an…

A:

Q: 2x²+5x 3<0 1 Add file 16) Use the position function below to solve the following problem. A…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: y" + 6y' + 8.96y = 0 y" + 2ny' + 7²y = 0 y" + 4.5y' = 0

A:

Q: )find dy to yalog,o(3X+1)

A:

Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

A:

Q: The rule of the derivative of a function f is given. Find the location of all local extrema. f'(x) =…

A:

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite integral by…

A:

Q: Carol has 1500 ft of fencing to fence in a rectangular horse corral. 750- x (a) Find a function that…

A: We can solve as follows

Q: 2. Simplify the following: 2 (m²)? ii) (62n* 1 ) ( 9 2n) (35+1 ) (2 2) i) ii) (2m³) 2 (3m) 2

A: Topic:- simplification

Q: Given the triangle below, find the angle 0 in radians. Round to four decimal places. 7 4 Provide…

A: Topic = Triangle

Q: 2. Suppose that the triangle with vertices (-1,–1), (0, 1) and (1, –1) is revolved about the y –…

A:

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: Given

Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A: By using Newton's backward difference formula to find the approximate value of y-13 when…

Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: find the critical points of the function f(x)=x-1x2+4

Q: Differentiate the function y = -5e0.

A:

Q: III. Graph the following functions: 4. y lIn(x-3) 5. y= In(x-1) 6. y= In Vx-1

A: Consider the functions 4.   y=|ln(x-3)|5.   y=lnx-126.   y=lnx-1

Q: Must the values be ordered from smallest to largest for the method to findNewton polynomials to…

A:

Q: y = x2 + 2x+1, y= 2x +5

A: