(Зп + 1)! Find the limit of the sequence an = If the (Зп — 1)! limit does not exist, type "Diverges" or "D". Limit:

Q: piane :x = 3 - t, 2:x = 8+ 2 s, y y = 5+ 3t, = -6- 4s, z = 5+s z = -1-4t %3D

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Q: Sketch the regien enclosed by the given curueS Y = xe*

A: Question- Sketch the region enclosed by the given curves: y = x2 e(-x) & Y= x e(-x)

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Q: Sketch the region R of integration and switch the order of integration. 36 - x fx, у) dy dx y

A: Given problem:-

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 4. § xe¯ dx 6. |t sin 2t dt Jx² cos mx dx 8.

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Q: Exercises: Sketch the region bounded by the given curves, then find its area. 1. y = x², y = 2x

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

Q: Question 1 A puck of soap makes a perfect cylinder It is submerged in water and begins to dissolve, ...

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Q: Approximate the following integrals using the Trapezoidal rule. c0.25 (cos x)? dx b. x In(x+ 1) dx a...

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Q: For the function f(x)= -3x + 9 and g(x) = 4x - 1, find fg(2)

A: The composite function is created when one function substituted into another function .             ...

Q: of the initial value problem gcナー Please fill in a question quickly within a quarter of

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Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: Vaix+ Vqx dx

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Q: - y = V16 – x² and the x-axis about the x-axis

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Q: Q4: Find an equation for the line tangent to the curve 2y cos x = 4x sin y , at the point where x /2...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Answer the questions regarding the graph of f. Then, use this information to graph the function. (a)...

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Q: $.Evalnate. the fellawing.int.egral.s. .e र र्य I dxdydz. Ans.s.1. a.. 1. #14 In csecy) ,2Z b. ff é ...

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Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

A: On solving this we will get:- Option (D) -12 sq. Units is correct

Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

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Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And c·...

Q: Question 5 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = (x²...

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Q: Question 6 Find all the second order partial derivatives of the given function. f(x, y) = x y 2 + y ...

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Q: The distance x, in feet, between successive cars on a certain stretch of highway has the following p...

A: We have to find the probability [ P(0 <= x < inf) ]

Q: (2+3i '8+i Evaluate the expression Express the answer 1+2i) rectangular form.

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Q: Sketch the region bounded by the given curves, then find its area. x = y^2, x = y + 6

A: The graph is shown below in which the chex region represent the area.

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

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Q: Voter Registration The amount of voters in a city's district should grow at the rate of 1500 / (8 ...

A: at present it is = 25000 after 2.5 year so t =2.5 growth = 1500/(8 + (2.5)2 )0.5  growth = 1500/(8+6...

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. 2 - 5n4 an...

A: Solve the following

Q: 5. x = 8 – y², x = y² – 8

A: This question is based on application of definite integral.

Q: 4. What is the volume of the prism? 4.6 in 5.1 in 2.1 in 13.6 in 2.8 in

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Q: For the demand function q= D(p) = v 464 – p, find the following. a) The elasticity b) The elasticity...

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Q: Calculate the fluid force on one side of a semicircular plate of radius 11 ft that rests vertically ...

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Q: .Evalnate. the following.denble.integral.s.by.conver.ting. bo ... polar.Coa.r.dinates. .... Ans: 36 ...

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Q: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number ...

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Q: function f(x) = x² ose x-coordinates are -2 , 0, and 1. 2x and draw the tangent lines to the gr 10 4...

A: We will draw the graph and the tangents. 

Q: Construct a truth table to show that (p^q) → p is a tautology.

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Q: D. Coefficients linear in two variables 6. (3x – y + 2) dx + (9x – 3y + 1)dy = 0

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Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: d²q (c) dt2 dq = t2 + 2t F(0) = 4 F'(0) = -2 %3D %3D dt

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Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the ...

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Q: Evaluate the given iterated integral. Sketch the region of integration and rewrite the integral usin...

A: Integral

Q: 2) Show that y = A cos x + Bsin x, where A and B are constants, is a general solution of the differe...

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Q: 3. y = 12 – 3x, y= 4 – x2

A: Given query is to find the area bounded by the curves.

Q: Write the first three terms of the sequence. 3n - 2 n2 +2 The first three terms are a1 ,a2 = and a3 ...

A: Given ,an=3n-2n2+2Put n=1a1=3(1)-2(1)2+2a1=3-21+2a1=13,Put n=2,a2=3(2)-2(2)2+2a2=6-24+2a2=46,a2=23,a...

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

A: point = (3,5,-7)n=0 i +1 j + 0 kCartesian equation of plane is Ax+By+Cz+D=0(A,B,C)=( 0,1,0)(x,y,z) =...

Q: State the points of inflection for the graph of f(x) below. Explain how you know. 4 2 4 4 2 -4

A: Points of inflection is the point at Which doubled derivative is zero. 

Q: S sin(bx) sec(bx) tan(bx) dx

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