Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8, and the x and y axes. Express the volume in integral form.

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Q: In Exercises 4-7, consider harmonic oscillators with mass m, spring constant k, and damping…

A: answer is in next step . please give a like !!!!

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A: A detailed solution is given below.

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Q: 2. Cambie a coordenadas rectangulares las coordenadas (3,π/2, 2π/3) a. (0,3√3,-3/2) b. (0,3√3,3) c.…

A: Solution: 3,π2,2π3

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Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: QUESTION 3 Find the particular solution for the given separable differential equation. dy 2x+y,…

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Q: 1 4. Differentiate (x² + 2)/²/2

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A: The graph of one complete period of a sine curve is given as

Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

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Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

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Q: Using Rationalizing Substitution · √ √x + 10 x+2√x +In(√√x-1)² +C °√x (√x + 4) + In (√x - 1)² +C…

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Q: ch among the equation represents the coefficent + 2 = (A + B + C)x² + (−A + B − 2C)x + -A+B-2C = 3…

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Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

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Q: A) A retailer has been selling 1,000 computers a week at $750 each. The marketing department…

A: Please see the below picture for detailed solution.

Q: 2. Evaluate f(x) dx if f(x) dx = 5. 2 A. 5 B. -5 C. -2 D. 2

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Q: Consider dx x1/2 + x2/3 Find the integrand in terms of z. A [62²dz 1+z² B none of the choices 6 z5…

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Q: he equation of this tangent line can be written in the form y = mx + b where ?= nd b =

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Q: 2. f(x, y, z) = x² + y² + 2² subject to the constraint 0= x² - y² + 1

A: The given function is;  f(x,y,z)=x2+y2+z2 Constriant: 0=x2-y2+1.

Q: Evaluate the integral:: 1. § 4+0²³²- dz e² · cos³x + 8 sin x cos²x + 6 sin²x dx ; cos x ‡ 0 2.5.…

A: We have to find value of given Integral.

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: answer is in next step

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x- (x²-3x - 4)dx…

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Q: Differentiate. g(t) = 24¹ g'(t) =

A: g(t)=24ttake log both sideslng(t)=ln24tlng(t)=t·ln24by property of loglnab=blnaalso…

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Q: Find the value of the arthmetic series below 3+6+9+...+48 A 357 B 458 C 396

A: Solution:-3+6+9+...+48First term, a=3Second term=6nth term, an=48Common difference, d=6-3=9-6=3nth…

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Q: 4. Find the length of the curve defined by Ŕ(t) = (3t+1, 4t³/2, 4 - 3t²) from the point (1,0, 4) to…

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Q: Find the measure of an angle between 0 and 2 π that is coterminal with m(0) = 7 T A 4 B D TT 4 5 f 4…

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Q: Find the critical points of ƒ(x) = −6x² + 4x² − 9 and apply the Second Derivative Test (if possible)…

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Q: π 3π The region bounded by y = cos x - 1 and the x-axis in the interval is revolved about the line x…

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Q: A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral…

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