For what values of p does the following series n=2 (Inn)p-2 n converge or diverge?

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: I have appended the formula used in the solution part of the question

Q: Find the exact absolute maximum and absolute minimum of h(t) = cos(2t) + √3 sin(2t) on [0,1]. Show…

A: h(t)=cos(2t)+3sin(2t)for critical points, put h'(t)=0d dt(sint)=costd dt(cost)=-sint

Q: Find the distance between the skew lines: x = 2 + 6t, y = 1+ 2t, z = 1 - 4t x = 3-t, y = 9, 2 = 4 +…

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Q: You arrive at the final gate, which leads into a building-like structure. You hope that the…

A: The given data is: fx=ax lnxgx=lnx512x39hx=lnxeπ

Q: Find a plane containing the point (-5,6,5) and the line Calculator Check Answer x (t) y(t) z(t) = =…

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Q: Find the critical points for the function f(x,y)=32xy−(x+y)^4 and classify each as a local maximum,…

A: To solve the following problem

Q: The total profit (in dollars) from the sale of x skateboards is P(x) = 30x – 0.3x² -250, for 0 ≤ x ≤…

A: Given Profit function:- Px=30x-0.3x2-250

Q: Please answer both. #1-The length of a rectangle is increasing at a rate of 6 cm/s and its width is…

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Q: Find the point of intersection (xo, Yo, Zo) of the lines given as: L₁: L₂: Xo = Yo = Zo = M i x=…

A: Given lines equation:- L1: x=3+t,y=5+6t,z=5+tL2: x=3+t, y=6+7t,z=6+2t

Q: 7. Find dy fo dx for x³ -y + y² = 4.

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Q: b) lim x² +8x+16 X-1 x²-16

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Q: Consider the functions graphed below. C (0,b) (1,1) (a) Find the slope of the line. slope = Answer…

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Q: Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the…

A: Please see the below picture for detailed solution.

Q: Evaluate the iterated integral **²y³ dady.

A: K=∫04∫016x2y3dxdywe know ∫xndx=xn+1n+1+c

Q: 6. y =√1+√8x-1 y 1$)+ (x-1) ¹4 y'= 1 + 7. y = [(x-1)(2x³ +1)]¹0 8. y = (4x²-1)³ (5x³ + 2)*

A: 5

Q: (2x-1) dx 2 x (x-1) In (x²-x)

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Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Find f(g(x)) for f(x): = Of(g(x)): 6x² 18 Of(g(x)) = 17x² + 1 O f(g(x)) O f(g(x)) O f(g(x)) = 6 17 +…

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Q: let y = 5 log2 x³ find y' O 15/(In2 +x) O 15/x O (5/In2)(3/x) noe of the above

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Q: 3. Use the Root Test or the Ratio Test to determine whether the series is absolutely convergent,…

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Q: Consider the ellipse 25x² + 64y² = 1600. Consider the point P(16,5). Find an equation for both lines…

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Q: Assume that it costs a company approximately C(x) = 800,000 + 360x + 0.0005x2 dollars to manufacture…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: There are two types of license plates. One of them consists of 2 upper case letters followed by 4…

A: We have to slove above question

Q: Skecth the graph find the area of the region a. r=a, a>0 b. r = 2+cos 8

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Q: Question 3 Find the value of the derivative (if it exists) of f(x) = (x-2) 4/5 at the indicated…

A: The graph of f(x) is given.

Q: 3x³+1 f) lim x →∞0 4x³-1

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Q: a) Find all of the critical points of x2 - x - 1 b) Find all of the critical points of x3 - 3x - 2

A: We have to find the critical points.

Q: find the general solution of the following differential equation. y′′′ − 3y′ + 2y = 0

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Q: that the cords have been disconnected from the device. "Computer, how do I plug in these cables",…

A: f(x)=ln(3x) f'(x)=313x = 1x f'(c)=1c   it is required Red cord.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: 6x2+xy+6y2=13d dx(xn)=nxn-1d dx(constant)=0

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x) = 9x - 4 8x + 5 (a)…

A: The solution is shown below-

Q: After walking through the fifth gate, your computer informs you that more than half of the gates…

A: Given function f( t ) = 1a( 2t3 - 15t2 + 45 )

Q: 2. Determine whether the series is convergent or divergent. If it is convergent, find its sum. ܐ 5…

A: The Series ∑n=0∞arn is called geometric series and the geometric series a is the first term and r is…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=2-2².…

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Q: 1 e) lim (-—-—-₂--²-4) x-3x-2

A: M=limx→3(1x-2-4x2-4)

Q: 5. Find the explicit solution of the given initial-value problem. dy e-x-ex dx 3+4y a) = y(0)=1 (b)…

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Q: The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is…

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Q: Use the information provided to write the equation of each parabola. 333 8 Vertex: (-6, 4),…

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Q: The position function of a particle is given below. s(t) = t³ + 6t² − 33t, t ≥ - 0 When does the…

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Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: This problem illustrates the Second Derivative Test. Let f(x) = - arctan(x²) + 3 . (a) Find f'(x) =…

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Q: do you know the formula for finding integrals

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Q: Find the volume of the wedge cut from the first octant by the cylinder z = 12-3y² and the plane…

A: We have to find the volume of cylinder.

Q: Find parametric equations of the line that satisfies the stated conditions. The line that is tangent…

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Q: What is the volume of the solid generated when the region bounded by the graph of y = 4x, the…

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Q: Let a = (4, 0, 5) and 6 = ( − 3, − 1, 1). - Find the projection of b onto a. projā b = < Calculator…

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Q: Which of the following integrals gives the length of a semicircle of radius 5? ܐܢܘ 5 10 -5 25 - x²…

A: We have given the radius of the circle is 5.Equation of circle is x2+y2=25y=25-x2

Q: Bernoulli Equations des 4 1/3 y²-³ y=x²y²²

A: y'-3xy=x4y13divide both side by y13

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

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