∞ Determine whether the series (-1)"- n gent, or divergent. n=1 is absolutely convergent, conditionally conver-

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Tutorial Exercise You are given the dollar value of a product in 2016 and the rate at which the…

A: topic- linear equations

Q: Solve the given differential equation by undetermined coefficients y" - 8y' + 16y= 12x + 6 y(x) =

A: Given:         y'' - 8y' +16y = 12x+6

Q: Express in exact form: In(x² + 1)dx

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine​ (if…

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Q: It is estimated that between the hours of noon and 7:00 PM, the speed of a highway traffic flowing…

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Q: 4. S 1 x²√√x²+4 dx

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: a b = A = B Note: Triangle may not be drawn to scale. Suppose a = 6 and c = 7. Find: B = b O A O

A: Solution: Given:  a=6,    and c = 7 Using Pythagorean theorem

Q: Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8 approximating…

A: Given question:- Estimate the area under the graph of f(x)=1/(x+3) Over the interval (-2,1) using 8…

Q: e Determine the equation of the tangent line to y=x2(√x+x la a C C C C C C C

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Q: [² (8cx² = 6cx+6c) de Identify the variable of integration in the given definite integral. Type only…

A: Given problem:- ∫pq8cx2-6cx+6cdc

Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

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Q: Find angle t [in EXACT form] for the following terminal points on a unit circle, 0≤ t < 2π (a) P(0,…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 7, 7) 10 5…

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Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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Q: Integrate using the method of trigonometric substitution, express the final answer in terms of the…

A: In this question we have to solve the Integration. Trigonometry Identity Used:-…

Q: Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x)…

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Q: Find two positive real numbers x and y such that their product is 2450 and x + 2y is as small as p…

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Q: 12 0 6 <<← ?° Q

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Q: lim x→−6+ e²x x +6

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Q: ms ion Co. % 5 9. (x²-2x)y" + 2y = 0; 10. x²y" - xy' + 2y = 0 ; 11. x²y" - y' + y = 0 ; Xxo 12. y" +…

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Q: Evaluate using integration by parts: fx sec-¹x dx

A: SOLUTION-

Q: Σ 4(k!) ² (2k)*! K=( a. Converges completely because re? b. diverges because r=? C. ratio test is…

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Q: Solve the problem. 16) The graph shows the height h (in meters) of a roller coaster t seconds after…

A: In this question, we need to find the time intervals in which the height of roller caster is…

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

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Q: 3 12 Find the exact value of sin (a + B), if sin a= and sin ß= 5 13' sin (a+B) = ? OA. -16 65 OE. 33…

A: Given that sin α=35 and sin β=1213, with α and β in quadrant I

Q: At 6 AM the temperature outside was -7 degrees. By 2 PM it had warmed up to 18 degrees. By how many…

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Q: 9-x2 x dx

A: ∫9-x2x2dx=∫cot2udu=∫ -1+csc2udu=-∫ 1du+∫csc2udu=-u-cotuSubstitute back…

Q: (a) Find the averge value of f(x, y) = curves y = 0, y = x², and x = 1. xsin y over the region D…

A: Solution: f(x,y) = xsin(y)

Q: y, 4e* In y, x = In (u cos v), y = u sin v; 4e* In (u, v) = (2, π/4) 7. z =

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Q: A population of rabbits oscillates 29 above and below an average of 75 during the year, hitting the…

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Q: Complete the statement. If a function f has an inverse and f(x) = -1, then f (-1)=_ If a function f…

A: The function f has an inverse function and fπ=-1

Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

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Q: question#22

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Q: 5.x²=3(y-c)

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Q: Average Cost Jesaki Water Sports incurs the following costs in producing a water ski vests in one…

A: Here we have to use the concept of derivatives

Q: Average Cost Graph The total daily cost (in dollars) of producing a mountain bikes is given by…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find a function of the form y = C + A sin(kx) or y = C + Acos(kx) whose graph matches the function…

A: Solution :find a function of a formy=C+Asinkx…

Q: 4. An apple orchard has an average yield of 36 bushels of apples per tree in the tree density is 22…

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Q: 3 5 58 a. A-¹BT Given A = and B = -2 -5 3 7 find

A: Solution is given below:

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (5,0) Vg(5,0) eBook

A: We can find the gradient as below.

Q: At what speed should a fish swim upstream so as to reach its destination with the least expenditure…

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Q: What will go wrong if we choose u = x²? Notice: in that case, we will also be choosing du = ln x dx.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: Find the gradient of the function at the given point. w = x tan(y + 2), (19, 9, -2) Vw(19, 9, -2) =…

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Q: 69. Tangent Line Find an equation of the line tangent to the circle x² + y² = 169 at the point (5,…

A: The tangent line to the circle x2+y2=169 at the point 5,12

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.