f(x) = (4+2)x+ tan¯¹ x

Q: Find the sum of the series. n = 0 7(-1)^2n + 1 22n + 1(2n + 1)! X

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Q: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 10 inches by 14 inches is formed into an open-top box by cutting…

Q: Find a parameterization for the intersection of the cone z = √√²+32 and the plane z = 5+ y by…

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Q: 8) The marginal cost for a business is given by the function M(x) = 6x² +0.5x+2. Where x = units…

A: The marginal cost for a business is given by the function Mx=6x2+0.5x+2.            where…

Q: The function f(x) = ln(1 − x²) is represented as a power series f(x) = Σno Chan. in=0

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Q: Question A particle moves along a line with a velocity v(t) = 3√t-3, measured in meters per second.…

A: We need to calculate the net displacement for velocity v(t) =3t-3 from time t=1 to t=4 This can be…

Q: Evaluate the integral = [[₁, F I= for the vector field as shown in F.dS F = zi+2yj-zk when S is the…

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Q: A cell culture contains 5 thousand cells, and is growing at a rate of r(t) = 3eº.21t thousand cells…

A: A cell culture contains 5 thousand cells, and a growing at a rate of rt=3e0.21t thousand sell per…

Q: 5. Use Green's Theorem to find the outward flux of the radial field F = (x, y) through the boundary…

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Q: If f(x) = arcsin x, then lim x→ A (B C D 0 프6 2 7/7/33 nonexistent f(x)-f( ² ) X is

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Q: What is f'(x) given the integral function f(x) = ²√udu? O f'(x) = √√x ○ f'(x) = √E O f(x) = -√√√x O…

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Q: Consider the vector field F(x, y, z) = xi + yj + zk.

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Q: Find the general solution of the given equation. y"-y' - 12y=0 Choose the correct solution below. c,…

A: Short Explanation::-

Q: If f(4) = 3 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

A: We have to find the smallest value of f(7)

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = 17- x, y =…

A: y=17-x         .....1y=7x+9         .......2x=-1  Find the volume of the solid obtained by rotating…

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

A: f(x) = (5x – 1)/2 , x ≤ 3 Find the absolute and local maximum and minimum values of f. Graph :

Q: Find the first five coefficients. Co C1= C₂= C3 || Write the Taylor series for ƒ(x) = x³ about x =…

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Q: Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X…

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Q: Find the general solution of the following equations in the standard form (ax + by = c). 1. (2x -…

A: We need to solve D.E.

Q: 7. Find the equation for the plane tangent to the surface x² + 4y² + 9z² = 17 at the point P (2, 1,…

A: Note : As per our Guidelines , we can solve one questions . Please repost remaining questions.

Q: Find the minimum value of f(x,y)=39x²+13y² subject to the constraint x²+y²=625

A: The given function is: fx,y=39x2+13y2       .........(1) The constraint is x2+y2=625 To find the…

Q: ·[F. dr where F = (-2, -3y,0), and C' is given by F(t) = (t, sin(t), cos(t)), 0≤t≤ñ Evaluate

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Q: For a three year bond of $2,700 at a simple interest rate of 11% per year, find the semiannual…

A: Principal Amount = $2,700 Rate = 11 % per year Time = 3 year

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x³ - 6x² -…

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Q: The concentration of a drug t hours after being injected is given by C'(t) = 0.3t t² + 58 Find the…

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Q: Find the simple interest. Principal Rate Time in Months $10000 6% 3 The simple interest is $ (Round…

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Q: Evaluate the line integral curve C : x = 10 cost, y = 20 sint (0 ≤t≤7) NOTE: Enter the exact answer.…

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Q: nd√ √ √ √ ² ² E Find z dV, where E is the solid tetrahedron with vertices

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Q: 5. Use Green's Theorem to find the outward flux of the radial field F = (x, y) through the boundary…

A: We have given a radial field F.

Q: Evaluate the surface integral ffg ds, where g(x, y, z) = 4z² and S is the portion of the plane-3x -…

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Q: Find the present value of an ordinary annuity which has payments of $1600 per year for 10 years at…

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Q: log √√3 X

A: Given expression logx73y2z

Q: A flu epidemic hits a college community, beginning with five cases on day t = 0. The rate of growth…

A: Rate of growth of epidemic is given as , rt=14e0.05t

Q: 3. Compute the work done by the force field ♬ = (xy, x³) along the part of the curve y : that runs…

A: The force field is F→=xy,x3 along the curve y=4x from 1,4 to 4,1

Q: 3 2 Find the domain of ƒ(x)= 80°F Mostly cloudy O {x|x€R¸‚x#-6} O {x|x€Rx#8} ○ O {x|x€Rr#-8}…

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Q: Find the surface area of the part of the plane z = 7+ 4x + 3y that lies inside the cylinder x² + y²…

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Q: f(x) = arctan 3 (2³) 4

A: Power series derivative

Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: Find [2² x²z ds, where C is the line segment from (0,3,-3) to (-5,1,-9)

A: ∫Cx2z ds C is the line segment from 0,3,-3 to -5,1,-9

Q: Find the arc length of the graph of r(t) = √²ti + e-√²+2tk, 0≤t≤ √√2 ln 3 NOTE: Enter the exact…

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Q: The demand for a particular item is given by the function D (x)= surplus if the equilibrium price of…

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Q: Solve -x3 = 3x to 2 decimal places. S solution

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Q: Find the compound amount and the amount of interest earned by the following deposit. $2,000 at 6.69%…

A: P (principal) = $2,000.00 r=6.69%     A = PertA = 2,000.00(2.71828)(0.0669)(6)A = $2,987.83

Q: Use a transformation of the graph of y=x* to graph the function. h(x)=4-(x-2)4

A:

Q: A new employee charged $3930 on his credit card to relocate for his first job. After noticing that…

A: where:         P is the monthly payment        A is the initial balance        r is the…

Q: Find the integral. (9x² - 6x + 2) dx (9x² - 6x + 2) dx = 3x³ 3x² + 2x www

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Q: [[ Sydv E and z = 15 - 2y Find y dV, where E is the solid bounded by the parabolic cylinder z = x²…

A: The solid is bounded by parabolic curves and planes z=x2y=0z=15-2y We have at y=0, z=15 Thus,…

Q: Consider the following graph of a function f(x) over the interval 0 ≤ x ≤ 8. Order the following…

A: The integral ∫abf(x)dx represents the area between the curve f(x) and x-axis from x=a to x=b The…

Q: Find the future value of this loan. $10,757 at 10.2% for 14 months The future value of the loan is…

A:

Q: The supply for a particular item is given by the function S (x) = 17 + 0.64x2. Find the producer's…

A: The supply function is  S(x)=17+0.64x2 and the given price is S=81 dollars