Approximate 2(-1)(n+1) Σ п! n=1 Use |S – SN| < bN+1• - (Use decimal notation. Give your answer to four decimal places.) S =

Q: Consider the following functions. 3 f(x) = Vx - - 3 3 g(x) = x – 3 Sketch the region bounded by the…

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Q: n 1) Use the Integral Test to determine whether the series is convergent or divergent. n² +1 n=1…

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Q: Find the particular solution determined by the given condition. 3) y' = 7 ; y = 20 when x = 1 A) y =…

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Q: pind the area of an are petel of ra 8cos (30). petel is beunded by - Dend e= ņ Hint; one lineso2…

A: We have to find the area.

Q: Find V· (V × F), if F(x, y, z) = 3e**i+3xe'j – 3e²k. - V·(V × F)

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Q: Question 6 of 17 Find an equation of the parabola with vertex (1, 4) and directrix x=-3.

A: Given that vertex of parabola (1,4) and directrix x=-3  To find the question of parabola  Again…

Q: Evaluate the integral / (10x + 15y)dx + (18x – y)dy along the paraboli - arc y = x² from (0,0) to…

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Q: Clairaut's Theorem Give one example of a function where the Clairaut Theorem fails, and justify your…

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Q: (a) When you solve an integer programming problem (suppose it is a maximization prob- lem), how do…

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Q: Find the equation of the tangent line to the curve at the point (5,3) given that x2+xy+2y2=58

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Q: 12 dx х3 — Зх2

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Q: E1 Fnd all of the Porst order partial derivatives Toll wing fanctions. a)そ= x+5y x Sin (y). b) fexy,…

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Q: Part A) approximate the area under h(x)=x^2 from x=0 to x=2 using four rectangles and a left…

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Q: The graph of the function f(x) = tan x is given above for the interval x E [0, 27] ONLY. Determine…

A: Given, the graph of the function fx=tanx,   x∈0,2π We need to evaluate the one-sided limit.

Q: Match the equation with its graph. 16 56

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Q: 6) Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: The graph of f consists of line segments and a semicircle. Evaluate each definite integral. f(x) •…

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Q: nt P(p, 1), where p>0, lies on the curve x² + 2x ulate the yalur of n

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Q: A particle is moving in a straight line according to the position function s(t) = t³ – 6r² +9t + 5,…

A: Given: s(t)=t3-6t2+9t+5,t≥0 d)After breaking once the velocity of the particle becomes zero.i.e. v=0…

Q: Find the limit V1+t4 dt lim

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Q: /) Set up end eveluete fue defnite integrel for fue ared of tme Surfece fonmed by revoiving tme…

A: The graph y=x2, 2≤x≤8 revolving about x-axis

Q: Find the inverse Laplace transform: 1 (s(s² + 1).

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Q: 2. Find an equation of the plane containing the point P (0, -) and the line determined by the two…

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Q: For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y = 0?

A: Given,            y=emx and the equation is y''-3y'-10y=0.To find : The value of m that satisfy the…

Q: Find all first and second partial derivatives of the following function: f (x, y) = e*Y + y sin x.…

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Q: 25) pind te ered af formed by reusiviny the circie fue su face = 10 cose cbort tue line o= 2 2 a)s…

A: Option C is true

Q: Evaluate the double integral. 7x?sin ydA; Ris the region that is bounded by y = x³, y = -x', and y =…

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Q: Determine the following limits, using oo or - o when appropriate, or state that they do not exist.…

A: The solution is given below

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

A: We need to find the surface integral.

Q: Determine the interval (s) on which the vector-valued function r(t) = ti + Vt + 1j + (t2 + 1)k is…

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Q: Find the standard form of the equation of an ellipse with the given characteristics. Vertices…

A: Given Vertices (-a,0)=(-11,0) and (-a,0)= (11,0) ⇒a=11 Endpoints of minor axis (0,-b)= (0,-6) and…

Q: Find the four second partial derivatives, Observe that the second mixed partials a z = 19xeY-10ye

A: We will differentiate partially with respect to x and y.

Q: QUESTION 4 At an awards ceremony, 6 women and 4 men are each to receive an award and are to be…

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Q: Verify Green's Theorem by evaluating both integrals Lr dx + x* dy = / dA ду x² dy ax for the given…

A: In this question we verify Green's Theorem                 i.e, verify integral  ∫C y2 dx +x2 dy =…

Q: et +e-* find the length of the curve h(x) = from x = 0 to x = In 2. 2

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Q: Use a triple integral to find the volume of the region bounded by 5x + 8y, z = 9, and the planes x =…

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Q: Eses: Find the derivatives of: 1 In sinx, 2 - sin(lnx), 3 - e-cosx 4 - /cos(3x - 1), 2 - [1+ cos(x?…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: A cylindrical water tank 8 meters high with a radius of 2 meters is buried so that the top of the…

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Q: Use Riemann Sums to calculate the area under the curve over the interval (1,3] for f(x) = x² + 2

A: By using Reimann Sums to calculate the area under the curve over the interval 1, 3 for fx=x2+2.

Q: 3z+1 Evaluate: S xp- 6z² -14x-12 ○ 륵m6z-21 + 흉mz + 6| +C O 음l미2z-6|+ n3z + 2| + C ○ f미3z-4|-3n 2z +…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 200e¬× -÷z², where T is measured in…

A: T(x,y,z)=200e-x2-14y2-19z2 The gradient of the temperature is: ∇T (x, y, z) = −200〈2x-x2-14y2-19z2 ,…

Q: 291 pind the cenve over the ginenine fue lengty of ra s(itcos), 0LOS2T

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Q: 5 y = 4x+3y+2 3r+2y+1

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Q: Use a change of variables or the table to evaluate the following definite integral. 10 e 2X dx 2x…

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Q: 5. A ladder of length 4v3 metres is resting on a wall. The wall makes a 60-degree angle with the…

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Q: f(r) = Va +4 – 2 Complete the following table and use it to approximate lim f(r) (Round to six…

A: The given function is: fx=xx+4-2   So, at x=-0.1 f-0.1=-0.1-0.1+4-2=3.974841 At x=-0.01…

Q: Determine the angle of rotation of each shape

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Q: dx a sin x+b cos x

A: Find integration of dx/ a sinx+ b cosx

Q: Waste Management Company wants to construct a dumpster in the shape of a rectangular solid with no…

A: We need to find dimension.

Q: х2 +7х — 3 (2х + 1) (х dx 2)² —

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