Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80 n=0 4 O 3/4 O diverges

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. ||

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Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Directional derivative

Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

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Q: Work Problem Write step-by-step solutions and justify your answers. Find the general solution of the…

A: The given differential equation is: y'''-3y''+2y'=0 So, we can also write as; D3-3D2+2Dy=0 The…

Q: 5. SET-UP the double integral that solves for the volume of the solid: 3 3x+ 2y+ 4z = 12

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Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: If a > b, it is possible to have log,(a) < log,b). (As usual with logarithms, a and b are positive…

A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

Q: Evaluate the following double integral .3 a) Evaluate I | 8xy dxdy= ? 1 0.

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Q: Determine whether the statement is true or false. If g(x) = f(x)sin x, then g'(0) = f(0). O True O…

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Q: Write the general equation for the circle that passes through the points: (0, 0) (6, 0) (0, - 8) You…

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

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Q: QUESTION 1 A farmer with 890 feet of fencing wants to enclose a rectangular area and the divide it…

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Q: (a) Shift it to the right 2 units. Denote the function that results from this transformation by fl.…

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Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3r? + 1) cot (322 + 1)…

A: r(x)=cot23x2+1Differentiate w.r.t.xr'(x)=ddxcot23x2+1Apply chain…

Q: 1. [(20x + 30)(x² + 3x – 5)° dx 2. S 5(x – 4)(Vx² – 8x) dx - 3. S 3x-4(2+ 4x-3)-7 dx

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Q: Vex – 1 dx c2

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Q: Provide a step-by-step solution to the following differential equation (linear equation) (2x+3)y' =…

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Q: 3. The height, in metres, of an object thrown from a rooftop is given by the equation h(t) = -x? +…

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Q: 2x3 + 1 x3

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Q: 27x2 + 9y2 - 81 = 0 %3D

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Q: Father will fence a circular garden whose radius is 3.5m/ How many meters of fencing material will…

A: Father will fence a circular garden whose radius is 3.5m

Q: answer 29 and 30

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Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: Evaluate the following double integral a) Evaluate 8xy dxdy=? 1 b) Evaluate the following integral…

A: A)∫12∫038xy dx dy=∫12 8yx2203 dy=∫1236y dy=18y212=18(4-1)=54

Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

Q: d.) lim f(x) = e.) lim f(x)= -3 -2 f.) lim f(x) = X-I*

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Q: What is the largest value of x for which the series (x- 3)" n°87 is absolutely convergent? Yanıt:

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Q: The series 1(-1)" converges to 0. True False

A: We have to find if the given series is converges.

Q: 6. Given a 2-unit factor of 0.87 find each of the following: (round answers to 4 decimal places) a)…

A: Given :The 2-unit factor of 0.87.To find :The 4-unit factorThe 1-unit factorThe 1/3 -unit factor

Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: 1 (x-1)(2x3+2x2+3x+2) x3 (x+1) dx

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Q: REPEAT

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim t-+0\ 9t2 + 10' t (?, ?)

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Q: Which of the following statements is not correct? O a. In(1+2+3) = In(1)+ In(2) + In(3) O b.…

A: We solve this question by log properties.

Q: Show tkat cos (2 I +x

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Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: Solve the following Initial Value Problem using Laplace transform: y" – 9y' + 8y = e-8t ; y(0) = 1,…

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Q: Which one of the following p-series is divergent?

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Q: Find equations for the tangent plane and the normal line at point Po (Xo.Yo.Zo) (1,2,0) on the…

A: Let,  ϕ=-8cosπx+3x2y+exz+5yz-15∇ϕ=i∂ϕ∂x+j∂ϕ∂y+k∂ϕ∂z…

Q: Find the volume of the solid generated when the region enclosed by the given curves is revolved…

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Q: 3. Determine the differential coefficient of y =-+2x – 3 when x = 7 4. If f(t) = 3 sin(4t + 0.12) –…

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Q: Given that y = 3e is a solution of the differential equation %3D y" + 3y' = 0. Then, by using…

A: Follow next step

Q: 20. Write the equation of the line that has the indicated slope and y-intercept. Express final…

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Q: HimilFind the akeas fak the folfewing regions Area of theregion insidethe circle (r=1)and outside…

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

A: We have to find linearly independent solution of given differential equation.

Q: I. Evaluate V4x² + 4x + 5dx|

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Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

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Q: A. Direction: Use the definition of continuity of a function at a number in determining whether f(x)…

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Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

A: We can solve the differentia; equation as follows: