Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

Q: y = x(x2 – 4)

A: We have to find the area of the shaded region.

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Q: State where the power series is centered. (-1)"(2n – 1) „n Σ * 2"n! n = 1

A: Solving

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Q: Find r'(t). r(t) = (tan-(7t))i+t cos(t)j – Vēk

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Q: Find the curvature and the radius of curvature at the stated poin r(t) = 11 cos(t)i + 10…

A: Here we have r→(t)=11cost i +10sint j +10t k  at=π2 The formula for curvature is…

Q: y = xx, x-4, nd y =0 Revolve the area of the shaded region about the line x-4. Using circular disk…

A: Given  y=x√x=x^(3/2) X=4 and y=0  Now volume of solid evaluated as  V=integration 0 to 4…

Q: 10 %3D1

A: Formula Given

Q: -+14х+13 dx 3x х+4

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Q: 5. Consider the region R in the plane enclosed by x-0, y=1 and y = x a. Draw the region b. Use…

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Q: Use series to approximate the definite integral I to within the indicated accuracy. 1/2 x arctan(x)…

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Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: Question 8 of 10 View Policies Current Attempt in Progress Find r'(t). r(t) = (tan(9t))i+t cos(t)j…

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Q: FH is perpendicular to AC In the figure, AC is diameter. If EF = 3 and FG = 2. Find GH. E G EH is…

A: Similar triangles: Similar triangles are triangles with the same shape but different sizes. Similar…

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A: Given :dydx=e3x2+4y2

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Q: Find the angle between vector [2, −5,7] and the x-axi

A: topic- angle between vector and x axis

Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

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Q: The letters r and 0 represent polar coordinates. Write the given equation using r-4 cos 0 Complete…

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Q: Evaluate the limit V5 + 7x² lim 5 + 4x I+ 00

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Q: (H.W) 1- Solve by choose M this time ( 2 x y² + 3 x² ) dx + ( 2 x² y + 4 y³ ) dy = 0 2- Find the…

A: If the differential equation Mdx +Ndy =0  is exact ∂M∂y=∂N∂x , then solution is                 ∫y…

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Q: (-2,0,5) and (–1,2, 3). Find an equation of the sphere whose endpoints of a diameter are

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Q: d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [ri(t) × r2(t)] first by…

A: Given that     r1(t) = cos(t)i + sin(t)j + 8tk    r2(t) = 7i + tk

Q: Evaluate the definite integral. i+e'j+t k )dt ell (e-l – 1) + (ell – 1) i – (e-1 – 1) j +, k 11 ell…

A: Given: I=∫01e11t i+e-t j+t kdt   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

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Q: Use series to evaluate the limit. X-In(1 +x) lim

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Q: alculate the Laplace transform of each of the followir a. 7t b. e' sin(t) c. u(t - 3)e2

A: We can  solve 2 problems only.

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Q: Find div F and curl F if F(r,y, z) = 1°i – 7j + yzk. div F= curl F=

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Q: Find div F and curl F if F(r, y, z) = xz°i+ 2y°x²j+ 6z²yk div F= 2° + 16 y' x + 12 z Y curl F=

A: Given F(x,y,z)=xz6i+2y8x2j+6z2ykTo find div F & curl F:

Q: Evaluate the following limit using Taylor series. 7 7 tan 1(x) – 7x+: lim 4x° 7 .3 7 tan (x) – 7x +…

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Q: Зx* у + tan y dy Given a first order differential equation dx x³ +x sec? y (a) Clarify the exactness…

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Q: 3.

A: ∫x41-x2dxPerform trignometric substitutionSubstitute…

Q: The graphs of f(x) and g(x) are shown. For what values of x does f(x) = g(x)? x = -2, x = 0, x = 3…

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Q: Differentiate the following using logarithmic differentiation y = x=

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Q: short

A: Please refer to the image below

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

A: Write the nth term and  add them to get Sn .

Q: Find y=f(x), if f''(x)=3x^2, f'(0)=-7 and f(0)=2.

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: Find V· (V × F), if F(x, y, z) = e®²i+ 4xe®j – 5eV²k. V.(V × F) =

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Q: In ASTR, t = 15 ft, r = 16 ft, mLS = 35°. Find the area of the triangle and round to the nearest…

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Q: 7. An analyst has found that Tom's Transmissions Company cost function is: C(x) = 40,000 + 500x –…

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Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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