Use the Ratio Test to determine whether the series is convergent or divergent. $ n = 1 Identify an n! 827 Evaluate the following limit. an + 1 lim n18 an Since lim an+ 1 n→∞ an Need Help? ? 1, Master It -Select---

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A: Given :fx=2-3x2

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A: In this question we have to sketch the function as per the given statement.

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A: The solution is given below

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A: This question can be solved using the concept of integration by substitution and definite integrals.

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A: given equation of ellispe 25x2+16y2-100x+32y=284

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A: Given that cosx=12. We have to find the value of cosx+π.

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A: In this question we have to find interval in which function is increasing.

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Q: Find the solution of the given initial value problem 150y" + 25y"+y′ = 0, y(0) = −14, y′(0) = 10,…

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Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

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Q: Given the function of two variables f(x, y)= ln (√x + y6) The partial derivative with respect to x…

A: using the partial derivative,

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A: topic- trigonometric identities identities useda3+b3=(a+b)(a2+b2-ab)sin2x+cos2x=1

Q: Consider the function on the interval (0, 2x). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

A: The given function,   fx=2x+4 sinx

Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ f(x,y)= fx(x,y)= Of(x,y)= f₂(x, y) =…

A: We need to find partial derivative.

Q: Solve the differential equation by variation of parameters. 1 7 + ex y(x) = = y" + 3y + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(7+ex).

Q: 4. Graph this piecewise function: f(x): = x+1 -2x-3 x<-2 xM-2

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Q: Identify the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 8xe…

A: The given function,  z=8xey-12ye-x

Q: Find the double integral that will compute for the area of the region bounded by x = y² and x = 4.

A: The given curves are; x=y2 and x=4 So, the bounded region is as shown below.   As we know that;…

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: Evaluate the following integral. Л √4 sin *x dx 0

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

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Q: 2. A circular cylindrical hole is bored through a solid sphere, the axis of the hole is being a…

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Q: Differentiate implicitly to find dy/dx. ²+ y² - y² = 29 dy dx 11

A: This question is based on implicit differentiation.

Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: ƒ (t) = (sin(t) — ¼ t³)³ - 3 9 g(y) = (2y — 5)-4 — 2² (2y – 5)-² -5 f(x) = (√x + x)¯°h(x) where h(x)…

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Q: Find the second partial derivative for the function z = x7-7xy + 6y2 with respect to x.

A: Solution of given question is written in below steps.

Q: b. Stan ³0 sec²0 do

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Q: If n(A) = 106, n(A ∪ B) = 141, and n(A ∩ B) = 46, find n(B).

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Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

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Q: 8 n = 0 Identify an (-7)" (2n + 1)! Evaluate the following limit. an+ 1 an lim 718 an+ 1 Since lim…

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Q: Find the point(s) at which the function f(x) = 6 - 6x equals its average value on the interval…

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Q: 10. Find the particular solution of √√x + √√yy' =0 where y(1) = 9

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 157 (n + 1)62n + n =…

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Q: Find the curvature K of the curve given below. r(t) = ti+8t²j+2tk

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Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

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Q: :) [x²ai 6.) sinxdx

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Q: Find all the zeros. Write the answer in exact form. 2 v(x)=x²³ −5x² + 4x+6 If there is more than one…

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Q: 52. If lim f(x) = 6 and lim, g(x) = 3, find x-2 (a) lim [5 f(x) - 4g (x)] (b) (c) lim [4 - xf(x)]…

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Q: List the first five terms of the sequence. a1 = 3, an+1 = 5an - 5 a1 a2 a3 = a4 = a5 =

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