Use the root test to determine convergence or divergence of the series of the series. n=1 3n¹3+n 4n13 +n + 13 n and choose the option which best describes the behaviour

Q: Show the complete solutions. 1. Represent the equation as an Augmented Matrix 3x+2y+z=8 4x-3y+3z=7…

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Q: let y = 3 x² + In x - ex find y' O 6x + (1/x) + ex O 6x - (1/x) - ex O 6x +1 + ex O none of the…

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Q: Find the derivative of the function. f(0) = cos(8²) f'(0) =

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Q: 1) Find the radius of convergence for f(x) =(-1)^4+1 ²n+1 n=0 4n+2

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Q: Find the derivate a) F(x) = 5-8x 1+ 2X f'(x)= 6) write all x-values (if any) at which the tangent…

A: (a) f(x)=5-8x1+2xd dx(ab)=bdadx-adbdxb2d dx(xn)=nxn-1

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

A: Profit = Revenue - Cost

Q: Consider the function f(0) = 4cos2²0 + 4sine. (a) Find f'(0) = (b) Determine the critical points of…

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Q: Verify that the given differential equation is exact, then solve it. 10x 24y 16y 5x (3) dx + X y 4 X…

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Q: For the following function f, find the antidemvative F that satisfies the given condition. f(t) =…

A: Solving the following problem

Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: Evaluate each of the following. Show a hand written solution

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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: =f* √7t + 10 dt. The arc length function for a curve y = f(x), where f is an increasing function, is…

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Q: Show that the lines L₁ : x = 1 -t, y = 2t, z = 5 + t and L₂: x=1+3t, y = 3-6t, z = 5-3t are parallel…

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Q: Use Lagrange Multipliers to find the maximum value of f(x, y, z) = 2x + 2y + z, subject to the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is find the partial…

Q: Let à = (-3, -5, -2) and 6 = (2, 5, 3). Find à x b. V Calculator Check Answer 7

A: Please see the below picture for detailed solution.

Q: Consider the function f(0) = 7sin²0 - 7cos0. (a) Find f'(0) = 7 sin (20) + 7 sin (0) (b) Find the…

A: f(θ)=7sin2(θ)-7cosθ(i)  d dθ(sinθ)=cosθd dθ(cosθ)=-sinθ

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: 4. Differentiate = ex) in (ex + xe (b) find dy by implicit differentiation 2 ху √x² + y²

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Q: Use the graph of the function f(x) shown below to answer the questions. -3 -2 -1 Determine the x…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue function is  and the cost…

Q: Consider the curve 1x² - - 2xy 1y³4.25. (a) Find an expression for y'. y' = (b) P(-1.5, 1) is on…

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Q: 2. Find the area of the region between two concentric circles r =7 and r=10

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Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

A: The given data is: C=5aq+3bq

Q: ind the derivative of the function. y = e-7x In(4x)

A: y=e-7xln4xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=adbdx+bdadx

Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

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Q: Find the distance from the point (7,1,-2) to the line ä(t) = (-5, 0, -2)t + (0, 3, 6). Calculator…

A: We have to find the distance between the point and line.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Question Graph the feasible region subject to the following constraints: 6x+8y > 208 x>8 y≥8

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Q: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: Find y" by implicit differentiation. Simplify where possible. x² + 7y² = 7 y" = =

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e−0.4t −…

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: the

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Q: ASAP

A: We have to write the equation of g(x) from the given function f(x).

Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: lim 5x³ +16x²-10 12x3+x+28

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Q: The number of cell structures in a Minbari stem cell (fictional) is modeled by f(t) = 1 + 30t - 10t³…

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Q: xzdS where S is the part of the parabolic Compute the surface integral =ylinder z = 2² that lies…

A: We have to compute the surface integral:∫∫S xz dSwhere S is the part of the parabolic cylinder z=x2…

Q: Hello! I am wondering how do you graph an equation like y=-4/x+7. I am confused on where these…

A: Please see the below picture for detailed solution.

Q: Solve using the elimination method. 0.2x 0.5y = 1.1 0.5x 0.2y = 1.7 (Hint: Since each coefficient…

A: 0.2x-0.5y=-1.1.....(1)0.5x-0.2y=-1.7..........(2)

Q: Find the linearization of the following function, at theta = pi/4  f(theta) = sin(theta) cos(theta)

A: The given function fθ=sinθ cosθ. We have to find the linearization of the function at θ=π4.

Q: Find and simplify the derivative of f(x) = ln(cosh (ax))

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Q: y=2x R y=x²

A: To write an iterated integral for ∫R∫dA over the region R described  in the figure below. (a)…

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

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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: A company operates two plants which manufacture the same item and whose total cost functions are…

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Q: Find the inflection points of f(x) = x¹ + 9x³ — 15x² + 15. (

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Q: cos* xdx

A: To evaluate the following integral. ∫cos4x dx

Q: Calculate the derivative of the function. HINT [See Example 3.] h(x) = 3[(6x − 1)(x − 1)]−1/3

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