Use double integration to find the area of the plane region enclosed by the given curves. y = 9 sin x and y = 9 cos x, for 0

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A: The given differential equation,dydx=e3x+2y

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Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

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A: 1)y"+y'-6y=0Auxiliary equation is;D2+D-6=0(D+3)(D-2)=0D=-3, 2Roots are real and distinct.Hence, the…

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A: To determine whether the given statement is true or false.

Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m2 – 24m – 16 = 0…

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Q: (b) Oppositely directed to 18i – 12j + 6k. - 3 i 1 j + k V6

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A: Follow next step

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A: From the rule of logarithmic inequality, If x &gt; y , then logax&gt;logay if x, y&gt;1 If x &gt; y…

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Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -1 1.5 0.25 1.5 A = 4 C = -7 B = -3 2.75 0.1 3 |-0.5 1 0.2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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Q: Evaluate 4x2 + 4x + 5 dx

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

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Q: What is the volume of the solid formed by revolving the region bounded by y? = 4æ and a = 4 about…

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Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

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Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: Find the total area enclosed between y = r and y = x over the interval [-1,5]. NOTE: Enter the ezact…

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Q: 4 sin? x cos? x dx. sin(2.x) cos(2.r) Evaluate the integral (a) In |sec(2a)|+C (c) In |sec(2x) +…

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Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (7t + 6)i + tj, 0st<1

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Q: Find the arc length of the parametric curve. x = 14 cos(t), y= 14 sin(t), z = 48t; 0<t<T L

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Q: t 048 12 16 f(t)|32|29 25 23 19 Using the Riemann sums and this table, find the left and right sums…

A: Let's find.

Q: a) If | f (x) de f(x) dx = 2, find 1 (3f(a) – 1) de. = 7 and || - /4 (b) Estimate the value of the…

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Q: Find the exact arc length of the curve over the stated interval. y = 3/2 – 4, from a 0 to a = 1…

A: y=3x3/2 -4  arc length=∫ab(1+(dy/dx)2) dx a=0 and b=1 given dy/dx=d(3x^(3/2) -4)/dx…

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Q: Consider the differential equation y" – 11y" + 28y = 0 Write the auxiliary equation of the given…

A: We can solve the differentia; equation as follows:

Q: 3. Integration by parts a.j 18x ( x+ 4)»

A: Given

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Q: dx 1-S, 4+x2

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Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: The auxiliary equation of the homogeneous linear equation y" – 24y' – 16y = 0 is m? – 24m – 16 = 0…

A: Given differential equations y''-24y'-16y=0

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A: corresponding limit after changing the order of integration  here y = z so only this limit is change…

Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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