Find the volume of the indicated region. The region bounded by the paraboloid z=25-x^2-y^2 and the xy plane

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Q: *f*f(z) dz = 5, f f(2) dz = -3, (z Given that the following integrals: f(x) dx = (fa (f(x) + g(x))…

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Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

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Q: 1) Evaluate the following triple integral: 1 xx+y IT 01 0 6z dzdydx

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Q: 6 A particle is moving (in feet/second or ft/s) according to a function f(t). Find the following if…

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Q: Let g(x) = 2x² + 8000 g"(x) = 4+ x3 4000 " + 10 with first derivative g'(x) = 4x - X and exactly one…

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Q: (cos y + y cos x) dx - (x siny - sinx) dy = 0

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Q: 9 Find the linearization of f(x) = x at a = 8. Use it to approximate 8.1 (Show your work)

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Q: he answer must be to the nearest hundred.

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A: Given :Surface : Planes :  and Find the parametric representation for the surface.

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A: given         y=  apply differentiation with respect x

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A: The given function is

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Q: Differentiate the following with respect to x 1) f(x)=−4x2 2) f(x)= sqrt(x)

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Q: 7 sin r - sin(x) 0 x cos r-x cos(x) Problem 2: Evaluate lim

A: we need to find the limit

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A: need to find limit

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A: The given integrals are

Q: Evaluate the limit lim x+1 A. 0 B. 3 C. 8 D. Does not exist x-1 √√/x √x-1

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Q: to find a power series for the function, centered at 0. -2 x² -1 h(x) = 1+x= =(-1)"x", kx|<1 1 + x…

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Q: Use sigma notation to write the Taylor series about x = = for the function. 5¹, x₁ = 1/2. Taylor…

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Q: Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. fe…

A: ∮cex2dx+(sin⁡y−3x2)dywhere C is the boundary of the region bounded by the parabolas y=x2 and…

Q: Evaluate yz dx -xz dy + xy dz, where C is the curve . x=e¹, y=e³¹, z=e¹, 0≤t≤1

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Q: Estimate the volume of material in a cylindrical shell with length 12 in., radius 9 in., and shell…

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Q: [e(e²³-3)¹⁰0 3) 10 dt

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Q: dv Draw a dependency diagram, and write a chain rule formula for dt Choose the correct dependency…

A: Given that To find:-

Q: 8 Two people start moving from the same point. One travels south at 6 miles/hour and the other…

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Q: Find f(5x5 + 6x²) dx

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Q: 7. DETAILS SCALCET9 16.5.017. f(x, y, z) = Determine whether or not the vector field is…

A: The solution is shown in step-2

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A: given value

Q: 15. 3 Krite the Taylor series for F(x) = x about x =2 & Cn (x-2)^₂ Find the first 5 coefficients n=0

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Q: 116 55° X- 38°

A: To solve for .(1) (2)

Q: Use the given graph to find the largest value of 8 >0 such that for all x, f(x) - L<e whenever…

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Q: If f (x) = x³ - 3x + 5, find (f-¹)' (x) at x = f (2). 0 // 144 O 144 None of these

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Q: 39. A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the…

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Q: Evaluate a rational limit using algebra Evaluate giving your answer in exact form. lim x-7 √x - √7…

A: To find:-

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A: The solution is shown in step-2

Q: A) Consider the vector field F(x, y, z) = (3yz, 8xz, -6xy). Find the divergence and curl of F.…

A: (A) F(x,y,z)=⟨3yz,8xz,−6xy⟩.

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Answer the following questions about the function whose derivative is f'(x) = (x - 2)²(x+3). a. What…

A: Given derivative of a  function as