Which if the following is a power series representation of the function f(x) a. Σ(-x - xn+¹) n=0 Ob. Στo (xn + gn+1) n=0 = 1+x? 1-x

Q: sinh³ (x) cosh (x) dx =

A: we have to evaluate the integral ∫sinh3x cosh8xdx use the formulas,…

Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Let v = 37 - 47 + 2k. Find ||||. Check Answer

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Q: EX #3: Roller Coaster A hypercoaster is a special circuit roller coaster with a height measuring…

A: A hypercoaster is a special circuit roller coaster  with a height measuring greater than 200 feet.…

Q: 3x³-28x² +40x-42 3x² - 4x+5 dx

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Q: The graph of f(x) is shown (see figure). 2X f(x) = (a) Find the following limits. L = lim f(x) = V…

A: According to guidelines, we must answer only three of the multiple subparts given. So, I answered…

Q: 20. A store finds that its sales revenue changes at a rate given by S'(x)=-3x² +300x dollars per…

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Q: Given the differential equation dy dx = y³ x ex² 9. Find a solution that satisfies the initial…

A: Differential equation: dydx=y3xex2

Q: sec¹ (3x) b) ›1$ 3 tan³ (3x) dx

A: I have stated the used formulas in the solution

Q: Solve the differential equation -1 (x + 3)¯¹ cos (y)dx cos (y)dx O a. cos (y) In b. cos (y) In -…

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Q: Ifc₂6" is convergent, then c(-6)" is convergent. Select one: O True O False

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Q: Find the Taylor Series generated F(x) = ११० (7-X)12 {'(x) = (2x)10 9 (7-X)10 90 {"(x) = (7-x)" by…

A: To find the Taylor series generated by fx=17-x9 at x=6.

Q: er of cars produced when a dollars is spent on labor and y dollars is spent on capital invested by 1…

A: Topic:- application of derivatives

Q: Which of the following is a linear differential equation? O da-t{1+t²) sec² ædt = 0 O…

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Q: Find the curvature of the curve r(t) = (5 + 4t, 4 - 4t, 1 - 3t) at the point t = -6. Check Answer

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Q: e) fx³ √2x² +1 dx wil(-) {. ub f CP

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Q: Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² +…

A: Let's find volume by using triple integral.

Q: SEND IN 20 MINUTES PLEASE !!!! Find the absolute max. and absolute min. values of f on the given…

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Q: 2 1 Expand 2y 0.013 2 3. ✓0.0004:

A: Given problem:- Expand 2y210.013y2230.0004

Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

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Q: 2. a. b. C. f(0) = lim f(x)= x-0+ lim f(x) =

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Q: 8. Evaluate F. dr using Stoke's theorem when F = (2xy — x²)ī — x² − y² )ī and C is the boundary of…

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Q: For y=5x^−2+8x^−3−7x−4, find dydx.

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Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

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Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: Evaluate the definite Integral. Use a graphing utility to verify your result. [² (u - ) du

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Q: What is correct form of the particular solution associated with the differential equationy'''=8?

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Q: Assume the coordinates are integers. Determine the coordinates of the point shown. (Type an ordered…

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Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: question: 2. xdy + (xy - y - y²) dx = 0 answer: 2.y = x Cex+1

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Q: Answer the following True or False. 1 COS T dz = ln(cos z) +C

A: Our Aim is to answer whether the value of integral obtained is true or false.Given integral…

Q: 1. Consider the vectors ā=27 +47-6k, b=-37+k, and a = 37-2k. [K/U] [1] a) Find the magnitude of the…

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Q: What is the form of the particular solutiony for the P differential equation y" - y = R(x) where…

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Q: What is the general solution to the the differential equation 3y''-y' - 2y=0? (2/2)

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Q: tim X-1 2 x² + ax +b = 2 find 9, and b a, X² + X=2

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Q: 4. Let f(x, y) = y²exy (a) Find the normal vector to the graph of f(x, y) at (0,1,1). (b) Find the…

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Q: Use series to evaluate lim X→0 ex-(1+x) 4x² lim X→0 (Type a simplified fraction.) ex-(1+x) 2 4x²

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Q: Consider the function f(t) = 5 sec²(t) — 9t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: What is the perimeter of an equilateral triangle inscribed in a circle with a diameter of 20 cm?

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Q: Solve (2y² + 3xy - 2y + 6x) dx + x (x + 2y - 1) dy=0 a. x² (y² + xy b. y + 2x) = C y² (y² + xy + y +…

A: Please see the below picture for detailed solution.

Q: i) lim cos x-0 7 πCOS²x x²

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Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: = Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

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Q: IN 10 MINUTES PLEASE JUST WRITE THE ANSERS NO DETAILSSSSS!!!!! Let f(x,y) = xsiny + ysinx +xy be…

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Q: у=ех

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Q: 13. Given f(x) = 2x² − 5x + 14 and g(x)= x − 3 a) Evaluate g(12) b) Determine & simplify f(-2c) c)…

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Q: Find the partial derivatives fx (3,5) fy (3,5) for the function f(x,y)= y^2/x-y

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Q: Differentiate the following function. You do not need to simplify the derivative. h(x) = 2x²ellz…

A: Topic = Derivative