Which of the following sequences converge? 5n 2n-1 I. II. III. A en ten (A) I only (B) II only (C) I and II only (D) I and III only (E) I, II, and III

Q: X 6. Determine the slope of the tangent at x = 4 for f(x) = x² - 15-

A: f(x)=xx2-15slope=f'(x)d dx(xn)=nxn-1d dx(ab)=bdadx-adbdxb2

Q: The elasticity of demand for x = f(p) = 1,875-p² when p = 15 is Banco de palabras: inelastic unit…

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Q: If f(x) = (x − 2) 5(2x+1) 6, then what is f"(0) ?

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: 1. Buying a new car is expensive! In Austin, Texas, residents must pay a 6.25% sales tax on the…

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Q: Find the critical points for the function: f(x,y) = 4x² - 8x-y + 3y ²-3xy

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Q: Use the four-step definition of the derivative to find f'(z) if f(x) = 91²-31 - 20. You may have to…

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Q: 10. Find the absolute maximum and the absolute minimum of f(x, y) = 2x² + y² + 2 over the disk D…

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Q: Evaluate the integral by interpreting it in terms of areas. L₁ (²+ 2 -10 100 - x² dx 2 X 2)

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Q: Let f(x, y) = 3x²y + xe³ _ . _X (a) Find the partial derivatives fx and fy. (b) Compute the…

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Q: Use the binomial series to find the Maclaurin series for the function. 1 (1+x)4 f(x) = = Σ n = 0…

A: The given function is: fx=11+x4fx=1+x-4  Use the binomial series to find the Maclaurin series for…

Q: shells: (A) The method of cylindrical shells: The circumference of a typical shell = The volume V =…

A: To solve the following problem

Q: Find the horizontal asymptote of the function. Give your answer as an equation of a line. If an…

A: Given function:- y=6x3+35x2-24x-5

Q: Find the volume of the solid obtained by rotating the region bounded by the curves: y = 2x, y = 4√;…

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Q: Use the chain rule to find and , where First the pieces: 器 Әх Əs ду Əs || dt - || || And putting it…

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Q: integrate using MISCELLANEOUS SUBSTITUTION H 3x+2 1+√√3x +2 1

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Q: Use the graph of the function F(x) displayed below to answer the following questions. The domain of…

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Q: A function is given. f(x) = 2x - 4; x = 2, x = 3 (a) Determine the net change between the given…

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Q: ke for this investment to reach a value of $11,800.00?

A: Given query is to find the investment to grow 11800.00

Q: A company manufactures and sells x smartphones per week. The weekly price-demand and cost equations…

A: According to question,Given Functions,p = 500-0.5x,Cx = 20,000 + 135 x

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: The base of a certain solid is an elliptical region with boundary curve 9x² + 16y² = 144.…

A: Given, The base of a certain solid is an elliptical region with the equation 9x2+16y2=144 Cross…

Q: Find the tangent plane to the surface x² - y² + z² = 6 at the point P(1,2,3). andy Moon by w foon…

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Q: -2y time does y increase to 100 or drop to 1? Round your answer to four decimal places.

A: we will find the required.

Q: A rectangular storage container with an open top is to have a volume of 160m³. The length of its…

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Q: Suppose the function f(x) has a domain of all real numbers and its derivative is shown below. f'(x)…

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Q: 5. Determine the average rate of change in f(x) = √x + 11 with respect to x from x = 5 to x = 5 + h.

A: f(x)=x+11from x=5 to x=5+hfavg=f(b)-f(a)b-a

Q: Find x² - 4x equation of the plane tangent to: z = 4e" at (8,16,4)

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Q: Evaluate the integral. (Use C for the c 1x² 9x x4+x² + 4 dx

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Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) — 4 cos(x - y).…

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Q: Match the differential equation with it's particular solution form. y'' + 7y' +10y = (4t + 5)e²t…

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A: g(u,v)=u2e-vpoint is (8,0)v=3i+4jDvg(u,v)=∇g(u,v).a→

Q: Find the derivative of f (y) = 9 tan (y) - Enclose arguments of functions, example, sin (2x) or…

A: to find derivatives

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: Using Trapezoidal rule

Q: Find the directional derivative of f(x₁x) = 3x²³-y²° +5x²³y at (2₁-1) in the direction of -37-48

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Q: Derivatives exponentials

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Q: For the function below, determine each of the following. f(x) = 6 x³ + 9x² - 756x (a) Find all…

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Q: Find all critical points of the function f(x) = x² - ²x² - 54x + 5. (Use symbolic notation and…

A: Given that the function is fx=x3-92x2-54x+5. It is required to find the critical points of the…

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 200e-x² - 3y² - 7z² where T is…

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Q: S₁ 9 $₂ = 81 X $3 $4 55 9 Σ; 27-1 n = 1 = X

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Q: At noon, ship A is 100 km west of ship B. Ship A is sailing south at 40 km/h and ship B is sailing…

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Q: 6 An aircraft spotter on the ground observes a plane flying towards her at a constant altitude of…

A: According to question, Given data, Height of plane = 400 m, Angle of elevation = π6

Q: Find the length of the arc of the curve 2 y = 3⁄⁄3 (3 x − 1) ³ from x = 0 to x = 16 -

A: Please see the below picture for detailed solution.

Q: how do you determine it's a quarter circle?

A: Question is ∫-100100-x2dx is quarter circle

Q: Calculate the derivative indicated. d'y dx4x=9, y = 4x-3/4

A: Given query is to find derivative.

Q: 14. Given f(x) = ax+b b-ax a. What is the root of f(x)? X b. What is the equation of the function's…

A: Given function:- fx=ax+bb-ax

Q: Find the horizontal asymptote of the function. Give your answer as an equation of a line. If an…

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Q: Use matrix inversion to solve each collection of systems of linear equations. HINT [See Example 4.)…

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Q: 1/2 -1/2 4(8 + x)¹/² − x(8 + x)¯¹⁄² 8 + x

A: