Test the series below for convergence using the Ratio Test. n4 0.9" n=1 The limit of the ratio test simplifies to lim f(n)| where 84x f(n) = The limit is: (enter oo for infinity if needed) Based on this, the series Select an answer

Q: Example 4c) find lim x-0 lim x→0 √x+1-1 lim =1-1 √x+1-1 1-1 0 0 X-0 X 0 Multiply top & bottom by the…

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Q: Let x = 3t², y = −2t³ + 18t². dy Determine as a function of t, then find the slope of the parametric…

A: Let To determine  as a function of t, then to find the slope of the parametriccurve at .To…

Q: If f(x)=x²-10, find an equation of the tangent to the curve passing through the point (5, 1). A. y-1…

A: Given,.Given point is (5,1).

Q: onsider the curve of intersection denoted as C, formed by the cylinder x^2 + y^2 = 4 and the ane x +…

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Q: An online retail company determined that their cost for each day, x, can be determined by the…

A: An online retail company determined that their cost for each day, x, can be determined by the…

Q: Question 4.3. Let R be the region under f(x) = 5 over the interval [0,2] and let S be the solid…

A: Let R be the region under  over the interval  and let S be the solid  generated by rotating R about…

Q: 6. Use the first derivative to determine where the function is increasing and decreasing and where…

A: By using the first derivative to determine where the function is increasing and decreasing where all…

Q: Find the area of the portion of the sphere of radius 4 (centered at the origin) that is in the cone…

A: The surface area of the required plane uses the following surface area of an equation

Q: In a new card game, you start by paying $95.94. From a well-shuffled full deck of cards draw cards…

A: In a new card game, you start by paying $95.94. From a well-shuffled full deck of cards draw 3 cards…

Q: The function f is shown. Which of the following are true for f on the open interval (a, c)? I. a #…

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Q: 19. x - y² +3=0, x-2y = 0.

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Q: = z. Evaluate the triple integral|]] (r g(x, y, z) dV over solid, B = {(x, y, z) | x² + y² ≤ 25, x ≥…

A: Given that To find  where

Q: Find the standard form equation for a hyperbola with vertices at (16,0) and (-16,0) and asymptote y…

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Q: дz дz Given z = ex²y, x = u³v, y = u2 + v², find and ди ду

A: Given , to find .

Q: Question 20 v Evaluate the following definite intergral. If necessary, round your final answer to…

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Q: Solve the separable differential equation for u dudt=e6u+5t. Use the following initial condition:…

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Q: 7x⁹ (x10 - 3) 5 a) This can be transformed into a basic integral by letting Consider the indefinite…

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Q: Write the following sentence regarding a limit symbolically. 5 (x − 1)² The limit of the function…

A: when x tends to 1 then the function tends to positive infinity.

Q: Compute the given indefinite integral. [(-3 3 + 5z + cos (32)) dz =

A: Consider the integral

Q: 9. Evaluate the integrals. a) f(3x² + sec² 2x) dx

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Q: For z>0, y > 0, z, y € R, find the value of (log, y) (log, a)

A: Given that To find:-

Q: -1/ 2 y = sin ¹(x² - 1)

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Q: The graph of z = f(x) has the point (5,- 8), what would the point be on the graph 1 of Z (1) (30,…

A: The given function z= f(x) has the point (5,-8) .

Q: How is the graph of 8y=x² related to the graph of y=x²? 1 y=x² has been expanded horizontally by a…

A: To explain how the graph of  is related to the graph of .

Q: Show that I is not a zero of 3 2 P(x) = 8x³ + 6x² – 3x-1 -

A: To show that  is not a zero of the following polynomial.

Q: The graph of the function g on the closed interval [0, 9] consists of four line segments, as shown…

A: The graph of the function g is shown as,Let,f be the function defined by

Q: 2. y" + xy = 0; y'(0) = 0, y' (π) = 0

A: As per our company guidelines we are supposed to solve the first question only. Please repost other

Q: 26) Evaluate the limit, if it exists. If it does not exist enter DNE. lim (√9x²+x-3 x - 3x) x →∞0

A: We solve the given problem using the concept of limits.

Q: 29) Evaluate the limit, if it exists. If it does not exist enter DNE. cos (x) lim x-(1/2) + 1-sin(x)

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: Determine whether the integral Convergent or divergent. Evaluate if Convergent is √ f(x) g(x) dx…

A: We have given two functions-We have to evaluate the integral where

Q: tween bus tingby 36 Budovai 13. Write the iterated integral for y√² + y²dA in the order dydz where R…

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Q: Find the extreme values of the function f(z,y) = 2z² + 3y² on the circle z²+²=4 Use Lagrange…

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Q: Given: (x is number of items) Demand function: d(x) = 500 -0.5x Supply function: s(x) = 0.3x Find…

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Q: match each derivative -[sec (x)] dx = [cos (x)] = [tan (x)]= sin (x) cos (x) :: cos(x) :: sec² (x)…

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Q: Convert the equation r= 10 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

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Q: Let g be the function given by g(x) = x² - 2x³ - 3x. What are all values of a such that g′ (x) =…

A: The given equation of function

Q: At which of the five points shown on the graph is dy positive? Choose the best answer. dx M Y

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Q: Which of the following functions has a horizontal asymptote at y = 2? A. x-2 3x-5 C. 2x² - 6x +1 1 +…

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Q: *A company manufactures coffee makers and has total revenue function R(x) = 39x -0.01x² where is the…

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Q: Find the area of the region bounded by the graphs of ƒ(x) = x³ + 4x² − 12x and g(x) = −x² + 2x.…

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Q: If 3000 dollars is invested in a bank account at an interest rate of 9 percent per year, Find the…

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Q: Find the series solution first 8 terms. about an appropriate point. Write down the

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Q: Find the equation for the tangent line for f(x) = x² at x = 2.

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Q: Let R be the relation on the set of ordered pairs of positive integers such that (a, b)R(c,d) if and…

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Q: 24) Evaluate the limit, if it exists. If it does not exist enter DNE. x²-3x² + x lim x-00 x³x+2

A: (24) L=limx→∞x4−3x2+xx3−x+2

Q: Given: (x is number of items) Demand function: d(x) = 2028 √x Supply function: s(x) = 3√x Find the…

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Q: Assume f(3) = 0, f'(3) = 6, g(3) = 1, and g'(3) = 3 f(x) g(x)* Find h'(3) given h(x) = A. -2 B. 2/2…

A: Given,

Q: items. C(x)=500+7x+0.04x² A company has total cost function C(x) (in dollars), where is x is the…

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Q: Calculate P(FIE), if P(E|F) = 0.02 P(E) = 0.86 P(F) = 0.26 Round your answer to five decimals.

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