Find the limit of f(x) = lim f(x) = -5 9√x+x 3x-9 X→∞ (Simplify your answer.) as x approaches co.

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A: The given function is  , The standard equation of Amplitude Phase shiftVertical shiftTime period

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A: To write the equation of the following graph.

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Q: Given the function f(x) = 5x² − 3x + 9 and the point P(-4, 101), which lies on the graph of f(x),…

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Q: Solve the initial value problem If the solution is y = co + C₁x + ₂x² + C3x³ + C4x² + C5x5 +C6x6 +…

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Q: 8. Find the linearization L(x) of f(x)=√√x² +9 at x = -4.

A: Given that the function

Q: 2. Σ. 1 (-5) 2n n2gn

A: The given series is The Root test If L<1 then series is absolutely convergent If L>1 then…

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A: To find the area bounded by  by using horizontal strip.

Q: (a) Evaluate the integral: S = 16 x² + 4 dx Your answer should be in the form k, where k is an…

A: Since you have posted multiple questions we will provide the solution only to the first question as…

Q: Evaluate Hint: Using power series. lim x-0 -32-³ -1+3x³ - 2/x6 13x⁹

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Q: 5. 6% a. x-2 dx 1-sin 2x 2 x-sin-x dx 2 + tan² x x + tan x - dx

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Q: 4-Z 4-z-2y k √ ₁² √²-²² ² -² -²y xyz²dx dy dz = 1 2 0 0 0

A: To solve for unknown.

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A: The radius of a circle is increasing from 9.00 to 9.09  mdr=9.09−9.00dr=0.09 mr=9 m

Q: at the point (0, 1/2). and b = The equation of this tangent line can be written in the form y = mx +…

A: y=1/[3sinx+2cosx]Point (0,1/2)

Q: A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off…

A: Radius= 6 cmHeight= 9 cmChange in radius is 0.03Change in height is -0.06

Q: 224. Suppose that a particle moves along a straight line with velocity defined by v (t) = t² – 3t –…

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Q: Find the tangent to y =√x-x+10 at x = 10.

A: y=x2−x+10 at x=10dydx=ddxx2−x+10Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power Ruleddxxn=nxn−1

Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

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Q: When a circular plate of metal is heated in an oven, it’s radius increases at a rate of 0.05 cm/min.…

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Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: y = In (14)

A: Given that expression we have to find the derivative of y with respect to t

Q: D. Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: In each of the following cases, find the value of the constant c so that the function f(x) is…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: FOR MULA ERTICAL 1(0,r) OF A STRIP (r₁0) CIRCLE

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Q: e Six dx xX (1+lux)

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Q: 4. Find the first five terms of the binomial series for f(x) = √√1 + x

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Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

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Q: b) Solve the following rational equation for the indicated variable. Be sure check for extraneous…

A: To solve the following rational equation.

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Q: Find the areas of the shaded regions in

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Q: We are interested in the first few Taylor Polynomials for the function f(x) = 7e² +6e¹ centered at a…

A: We need to find tylor polynomial.

Q: fum of a cide wing Voled vp TH A dx TRIGONOMBTC SUTION Ja-yX-4 dx-aast de Ja². (asing)" (acest do)…

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Q: The table gives the values of a function from an experiment. Use the table to estimate So f(x)dx…

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Q: Determine the radius of convergence, R. R = 1

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Q: 1) Write a complex number in a standard form z = x + ly:: 2+i (2- i)(3i+ 4)(i+1)

A: The given complex number is