The Horizontal Asymptote of a rational function is always determined by the leading coefficients of the numerator and denominator. O True False

Q: x+1 x²+2x-7 dx - y-2 y²-4y-5 dy = 0

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Q: Question content area top Part 1 A company determines that its weekly online​ sales, S(t)​, in​…

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Q: 4. If the length of the curve y=√√x-x² + arcsin√x on [a,1] is 1, find the value of a.

A: We have to find the value of a.

Q: you did not answer my question. I want to know why the derivative of tan(zx) is written to be…

A: To find Partial derivative of tanzx

Q: Verify the identity. 2 tan(x) 1 + tan²(x) 2 tan(x) 1 + tan²(x) = = sin(2x) 2 tan(x) sec²(x) 2…

A: varify,  2tan(x)1+tan2x=sin(2x)

Q: Question Given e²y = x² - 6x and y (1) = ln 3, solve for y. Leave y = off of your answer, and if y…

A: We have to find the function y

Q: Use the power series 1 1 + x = (-1)^x", Ixl < 1 n = 0 to find a power series for the function,…

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Q: Let f(x)=x√x + 4. Answer the following questions. 1. Find the average slope of the function f on the…

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Q: A volume is described as follows: 1. the base is the region bounded by a 2. every cross section…

A: We have to find the volume of the given problem.

Q: Solve the problem. 18) A domed ceiling is a parabolic surface. For the best lighting on the floor, a…

A: A domed celling is a parbola surface. For the best lighting on floor a light source is to be placedt…

Q: Find the interval and radius of convergence for the power series ∞ n=0 xn 3n+1

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Q: 1. Find the partial derivatives with respect to x of the function xy² - 5y + 6. A. B. y² ²-5 C. D.…

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Q: If a ball is thrown into the air with a velocity of 57 ft/sec, its height in feet after t seconds is…

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Q: Find the sum of the series: n=0 n-3 (-1)" (²) " 36 2n + 1

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Q: Use series to approximate the value of the integral with an error of magnitude less than 10-5 0.5 √…

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Q: Find the derivative. g'(x): = g(x) = sinh2(x)

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Q: Use spherical coordinates to evaluate the triple integral ſ zdV where D is the portion of the ball…

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Q: Find the remainder term R₁ in the nth order Taylor polynomial centered at a for the given function.…

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Q: For the angles a and ß in the figures, find cos(a + p). 21/5(5-2√5) C X 2 1 3 2

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Q: If f(x) ƒ'(x) = f'(2) = 4 sin x 3 + cos x then

A: derivative

Q: A Find the equation of the vertical asymptote(s) of the function f(x)= x¹ +2 x = √₂ x=t√2 X = 0…

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Q: 90e-0.1t hilligrams of the drug remain in the patient's bloodstream after 2 hours? (Round your…

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Q: 2. A graph of the equation: 2x + y² + 4xy = 2 is shown in the figure. (a) Use implicit…

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Q: If x³ + y³ = 37, find the value of d²y 2 dx at the point (-3,4).

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Q: 3 g(x) = 5x³e-x, -1≤x≤5

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Q: Find a power series for the function, centered at c. f(x) = 00 f(x) n = 0 4 5 -Σ Determine the…

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Q: 2 320 Find an equation of a parabola that satisfies the given conditions. 19) Vertex (5, 4), focus…

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Q: 1. Differentiate the following functions a. f(x) = sin(x) cos(x)

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Evaluate the integral using integration by parts. √4x³* dx Saxe Saxe3x 4xe³x dx = ***

A: The given integral is 4xe3x.

Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

A: Given integration  ∫032t21-t232dt

Q: Find parametric equations for the path of a particle that moves along the circle x2 + (y-2)2 = 16 in…

A: A circle defined parametrically takes the form: x=r cos(t)+h y=r sin(t) +k

Q: If $85,000 is invested in an annuity that earns 5.8%, compounded quarterly, what payments will it…

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Q: What is the: Domain: Intercepts: Symmetry: Asvmptotes: Intervals of Increase or Decrease: Max and…

A: y=x2x+1

Q: Find the equation of the tangent line to g(x) = (2x 3 + 4 tan x) / (5x 6 + 7 cos x ) at the point…

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Q: For tax reasons, I need to create a rectangle vegetable patch with an area of exactly 98 square…

A: The area of the vegetable patch:  A=98  sq. feet.Fencing for east and west side costs:  $4 per…

Q: The rate of growth of the population N(t) of a new city t years after its incorporation is estimated…

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Q: Describe and sketch the cross sections for f(x, y) = xy corresponding to z=-2 and z = 2.

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Q: Find the volume of two curves around the x axis from 0 to 1 f(x)=x^10 g(x)= square root sin x

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Q: Use the Fundamental Theorem of Calculus to find the derivative of dy da = - 1². y = cos t dt [NOTE:…

A: We have to find the value of dy/dx

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. 9 y'…

A: The given differential equation is:y'=9x+x2-4x4,              y(1)=-4

Q: For each of the following infinite series, determine whether the series con- verges or diverges. You…

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Q: 4. Let f(x) = x³ + 3x²-9x-7. (a) Use calculus to find all critical numbers for the function f. (b)…

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Q: Given ey'e and y (In 3) = In 9, solve for y. Leave y = off of your answer, and if y can be positive…

A: We have to solve the given differential equation.

Q: 1. Maintenance costs for a building generally increase as the building gets older. From past…

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Q: the size of a bactiera populaation found in some food greows at a rate of p(t) =8000t/80+t^2 where t…

A: To find out the time when the bacteria population will be maximum.

Q: Evaluate. (Assume x>0.) Check by differentiating. √x¹2 in x dx In In Sx¹2 in x dx In

A: The given integral is x12lnx.

Q: Find the simple interest on this loan. Assume 365 days in a year. $5333 at 4%; loan made on August…

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Q: Find the exact length of the curve f(x) = 2x^2 - 7 where

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Q: Sketch the graph of a function that is continuous on [1, 5] and has the given properties. A y 3.0…

A: Absolute maximum point is the point at where the function obtains its greatest possible value.…

Q: Solve the trigonometric equation in the interval [0, 2x). Give the exact value, if possible;…

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