Determine whether the sequence converges or diverges. If it converges, find the limit. an = tan -1 Divergent n² + 3n n+ 1 O Convegent, Limit O Convegent, Limit = Convegent, Limit = 73 = T T O Convegent, Limit=- 2 4 π 6

Q: Suppose we have a triangle with A 40°, B= 60° and c = 4. Then a =

A: Sum of interior angles of a triangle is 180 degrees

Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

A:

Q: S 12x+8 3x²+4x+8 dx

A:

Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

A:

Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

A:

Q: A water tank has the shape of an inverted cone with height 9 m and top radius 8 m. If V and h…

A:

Q: Let sinA=-4/5 with A in QIII and cosB=-3/5 with B in QII. Anwer Exactly. Find sin(A-B), cos(A-B),…

A: Given,

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

Q: Find the area under the given parametric curve over the given interval. x = 4t³ - t²; y = t4 + 2t²;…

A:

Q: d. y = 2x+1 x²-4 5x+1 e. y = 2√x-1 f. y = sin x ln x-1 x²+1/

A: To find the derivative of the following functions.

Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² + 3xy +…

A:

Q: 4. n=1 ne-n

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

Q: Evaluate the following limits algebraically. 1. lim x---> 2      {5x - 7; x = 2

A: Note:-Since you asked multiple questions according to our polcy we can answer only first question…

Q: Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a…

A: We have to find the dimensions of the building that will result in a minimal annual heating and…

Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

Q: :) 2 ↑ t Suppose g(x) fict) > 0 Por all Investigate whether gaxs min. (ii) an inflection local max…

A:

Q: 06

A:

Q: 3 fff Sayz dv= - S₁² S₁² ² 8zyz dz dz dy 2

A:

Q: The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

A: Given that the graph with tangent line parallel to y=3x+1 we have to find the point is/are?

Q: Consider the triangle below. Click on the picture to see it more clearly. If a = 8, the angle C =…

A: The given triangle has measures .The aim is to find the remaining meausres .

Q: Suppose that the variables x and y are related by the implicit equation X V = -3.3x 1.8 ln(x)+2.8y—…

A:

Q: 17. What are the dimensions of the right circular cylinder of greatest volume that can be inscribed…

A:

Q: Find all exact solutions on the interval 0 < 0 < 360°. If there is more than one answer, enter them…

A:

Q: Find ∫∫R(5x+2y)dA where R is the parallelogram with vertices (0,0), (-2,-4), (1,3), and (-1,-1).…

A:

Q: L³₂x³dx -2 2 1 x+0.5 dx

A:

Q: 7. The sum of measures of the angles of a triangle is 180 degree. The smallest angle of the triangle…

A:

Q: The figure below shows the derivative F'. If F (0) = 15, give (x, y)-coordinates of all local maxima…

A:

Q: S dx x+7 2x-3

A: To solve the following integral.

Q: Suppose Find the product AB. AB= Find the product BA. BA= -9 - [3] and 9 A = and B = help (matrices)…

A:

Q: Find for y=cos ²(9xt-8). dy dt dy dt

A: )   Is givenWe want to find the derivative

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

A:

Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

Q: Question 1 If you know that Q(x) is a quadratic function and that Q(8) = 7, Q(7) = 2 and Q(1) = 6…

A:

Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: f(x)=x^[8/3]-4x^[2/3] determin the: a) roots b) Domain c) intervals for which the function is…

A: The given function is To find:-rootsdomian intervals for which the function is positive and negative…

Q: Find ∫∫R x^2dA where R={(x,y)∣9x^2+4y^2≤36

A: To find the double integral , where R is the region defined by  ythe ellipse defined by The…

Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: Find the mass of a lamina bounded by y=5√x,x=9,and y=0 with the density function σ(x,y)=x+1

A:

Q: Suppose value of [ f(x)dx 2 f(x)dx. f(x) dx = -1, [**f(x)dx = 4 and [ f(x)dx = 2. Find the

A:

Q: Find the radius R of convergence for the series R = n=1 2x+1 87+1 n8

A: The given power series .The aim is to find the radius of convergence of the power series.

Q: (– ²/6) has exactly one point of inflection with a positive x-coordinate. What is the x-coordinate…

A: The given function is .The aim is to find the point of inflection.Definition:If  is an inflection…

Q: Highest point on the major axis: (2,11) Lowest point on the major axis: (2,-1) Rightmost point on…

A: The given equation of ellipse

Q: Express the limit as a definite integral on the given interval. lim n→∞ i = 1 exi 3 + X; Ax dx [0,…

A:

Q: Find the complete solution of the linear system, or show that it is inconsistent.

A: A system of equations is inconsistent when it has no solution.that is no real numbers as variable…

Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

A:

Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25

Q: Two cylinders are given. The larger cylinder is a dilation of the smaller cylinder. Part A:…

A: Smaller length = 2mLarger length = 9mVolume of the smaller cylinder = 24 pi m3

Q: d. f(x) = 2 f(x)=√x e. f. f(t) = g. √√t ² f(u)= ut + u² + ¹ น

A: