Evaluate the following limits. If needed, enter oo for ∞ and -oo for /11 + 6x² 2 + 8x (a) lim x18 (b) lim x118 √11 + 6x² 2 + 8x -∞.

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Q: In problems 16-19, solve the given initial-valu √1-x² y'=xy y() = 2e = ²2 16.

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A: Given:- a→=-2,-1,2 ,b→=-3,2,2

Q: 24. Convert the Babylonian numeral to a Hindu-Arabic numeral «T # «M TOG,ES,

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A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

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Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 8x² and…

A: Let's find volume of solid (V).

Q: y = sin x, y = A lamina in the first quadrant is bounded by 2, and the coordinate axes. If the…

A: The given lamina is bounded by the curves y=sin-1x, y=π2, and the coordinate axes in first quadrant…

Q: Let G₁ be the solid in the first octant that is inside the paraboloid 2x² + 2y² = 8-z and below the…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: Given query is to find differential equation.

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for -∞. (a) lim 5 + (b) lim 5 888…

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Q: Solve the Concept of Complete general solution of the differential equation, using the Substitution…

A: Please see the below picture for detailed solution .

Q: Solve the integration of ∫ -2x cot^3 (x^2+1) dx

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Q: Pac T/2 3π/2 4 3 2 -2 -2 -3 -5 The graph of the function f(x) tan is given above for the interval x…

A: Given query is to find indicated limit and asymptotes.

Q: (b) Find the equation of the tangent line to the graph of the equation −x²y − 3xy² + y³ = -4 at the…

A: Topic = Derivative

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Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

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Q: a) Find limx→1 /2r+3-√3x+2 2²-6x+7

A: according to bartleby guideline we do only first part of multiple questions     ∂xn∂x=nxn-1…

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Q: 1. An object is moving along a straight line and its velocity at time t is given b v(t) = t² − 4t -…

A: Given :- ⇒vt=t2-4t-5 By completing square method ⇒vt=t2-4t+22-22-5 ⇒vt=t-22-9 vertex (2,-9)

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

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Q: (5) Find the tangent of the cycloid x t = π/3. = = r(t — sint), y = r(1 − cost) at the point where

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Q: The area of a healing wound is given by A = r². The radius is decreasing at the rate of 2 millimeter…

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Q: Find the area between the curves: y = x³15x² + 50x and y = x³ + 15x² - 50x

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Q: what is an arithmetic sequence? how to find an explicit formula for it?

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Q: find d/dx 2x^2 -x using derication from first principle through the use of (f(x+h)-f(x))/h

A: Topic = Derivative

Q: ܚܘ Problem 3 Bacteria are reproducing in concentric rings in a petri dish. The circular area…

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Q: verify the identity (sin(t) + cos(t))2 sin(t) cos(t)  = 2 + sec(t) csc(t)

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Q: Consider the differential equation for y(x): dy dx y-e². The general solution is of the form y =…

A: Given differential equation:- dydx=y-ex

Q: Use the given graph of the function to answer the following questions. Answer Formats • Type your…

A: PART 1          When f(x) increasing f'(x) > 0, and          when f(x) decreasing f'(x) < 0.…

Q: Let D be the region bounded by the y-axis and x Provide your answer below: D = {(1,0)| ≤rs, ses <O<}…

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Q: Is the sequence an = 2 + 7n arithmetic? Your answer is (input yes or no) if your answer is yes, its…

A: We have to check that the sequence an = 2 + 7n is arithmetic or not

Q: Use matrices to solve the system of equations. (Use the parameters x, y, x = y + 2z = 11 - z = -12…

A: Use the matrices to solve the system of equations  x-y+2z= 11 3x+2y-z= -12 -x+3y+z=0

Q: Use Taylor series to compute the following limit: x - ln(1 + x x² lim x+0

A: We know  ln1+x=x-12x2+13x3-14x4+......

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Q: Use implicit differentiation to find x + tan(xy) = 0 dx

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

A: Given query is to write the differential equation.

Q: A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 34…

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Q: (c) an=2+ (0.71)" Nπ d) an = cos n+1 (e) an = ln(n+1) – ln(n)

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Q: Sf3dxd 3y

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Q: Solve each equation on the interval [0, 2π]. 5. sin 2x = cos x 7. sin 2x csc x = 1

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Q: Convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ ? < 2?.   (-√6, -√2)…

A: Given query is to convert rectangular to polar coordinates.