S: - V dx 2x - √x + 4 VX

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A: Solve the following

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Q: 5. Evaluate SO-2²πT ydx = 3π₁ given x = 0 - sine, y = 1- cos -0

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Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) =

A: nth Maclaurin polynomial for the function :       Pn(x) =  ∑i=0n fi(0)i!xi = f(0)+f'(0)x + f''(0)…

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A: Please see the answer below.

Q: Use the properties of logarithms to write the logarithm in terms of log3 (2) and log (5) log 3 (10)

A: Note that: log (a×b)=log a+log b

Q: Compute Each Derivative: 1) d tan¯¹ (1 + e²x) dx 2) x²cos-¹(3x4) d dx 3) x(sin-¹(x))² dx

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Q: Consider the Solid Q in the first octant, formed by the surfaces y=(x-3)²+1, 4z + 3y = 15, x = 1, y…

A: Solution: The mass of solid =∬∫ρdv where ρ is the density function and ∬∫dv is the volume of…

Q: a) Find the distance between two skew lines L1 and L2 such that L1: 1+ 4t, y=5-4t, z=-1+5t  L2:…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: F8 Part 1 of 7 O Show that the differential form in the integral is exact. Then evaluate the…

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Q: Determine whether the sequence converges or diverges. If it converges, please compute the limit.…

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Q: 1. The volume V of a right circular cone of radius r and height h is given by Var²h. (a) Find a…

A: (a)V=13πr2hdifferentiating w.r.t  "r" ; where h is  constantdVdr=13πh . 2rdVdr=2πhr3

Q: α 4" n=2 5n!

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Q: Q2):- Find Y[Z] of signal Y[n] (Cos wn). U[n]

A: Given

Q: ∫esin4xcos4x dx

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Q: Find f. f(x) = f ''(x) = cos(x), f(0) = 4, f'(0) = 5, f "(0) = 7

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find the area A of the region that lies inside r = 5 sin(0) and outside r = 3√3- sin(0). A= Que Que…

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Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

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Q: 49-50 Find az/ax and əz/ay. 49. (a) z = f(x) + g(y) 50. (a) z = f(x) g(y) (c) z = f(x/y) (b) z = f(x…

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Q: Use the given graph of the polynomial function to complete the following. a. Estimate the…

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Q: Consider the solid Q limited by the surfaces: And the planes z = x² + y²₁ z=4-2²-y² y√3= x, y = 0…

A: Given

Q: Match each of the Maclaurin series with the function it represents.

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e-X, n = 5 P5(x) =

A: We have to find the McLaurin Series for the given function.

Q: A farmer plans to build a rectangular pen adjacent to a river out of the 2,400 ft of fencing he has…

A: Given: Total fencing is 2400 ft  We know that area of rectangle is length ×width

Q: Verify the orthogonality p

A: answer is in next step

Q: the solids generated by revolving the region bounded by the graphs of the equations about the given…

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Q: A particle moves according to the law of motion s = t³ - 7t², t> 0, where t is measured in seconds…

A: In multiple parts question we are advised to answer only first three sub parts .

Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

A: After 38 years interest.

Q: r² + 2xy + 4y² = 12, (2, 1) (ellipse) Description: Derivative Slope € O and Equation of tangent A…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Evaluate fr.co x cos(x³) dx as an infinite series.

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Q: Ordinary differential equation dx/dy = ( x-e-x )/( y+ey )

A: We can solve as follows

Q: > > For the following equation, find one solution graphically and then find the remaining solutions…

A: To find the solutionof the given 3 degree polynomial =0 equation

Q: Does the function satisfy the hypotheses of the Mean value there on f(x)=2x²-3x+1, [0, 2] O Yes, it…

A: We have to find the value of c.

Q: F (y)= 2 y-3

A: The given function is  F(y)=2/(y-3).

Q: Finding the Volume of a Solid In Exercises 23-25, use the disk method to find the volume of the…

A: We have to find the volume by disk method.

Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² - 4x - 192…

A: The given function,   gx=x2-4x-192

Q: MY NOTE An open box of maximum volume is to be made from a square piece of material, s = 30 inches…

A: Given: S= 30 inches

Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (-1,-3),…

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Q: 1093 1 162

A: answer is in next step

Q: Determine whether the following Consistent or not a) 5x +2y = 1 3x +2y = 1 b) X₁ + X₂-2X3 + X4 = 9…

A: Here, to check whether the given system is consistent or not.

Q: (c) r(0 - 1) = -cos (0)i-3 sin(0)j (d) r(π/6+ At) - r(π/6) = (cos Ar-sin Ar-3) + (20 At- At 2 2 2…

A: We have to find the value of function.

Q: HIY I+y+1 1. Let f(x, y) (a) f(2,1) (b) f(1,2) (c) f(a, a) (d) f(y + 1,y) Find:

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Q: Find an equation of the plane that passes through the point (1, 6, −4) and contains the line:

A: