Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. (Round your answer to three decimal places.) + 2 X = 1, x = 4, y = 0 y =

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Q: EVALUATE AND SOLVE THE LINEAR DE. (D5 – 15D3 + 10D² + 60D – 72)y = 0

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A: Check given differential equation is exact or not. i.e.    My = Nx

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Q: 1. Consider the region bounded by y = x and y = Vx, shown below. Y Find the volume of the solid obta...

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

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Q: V3 2dy 3 у\у2-25 y.

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Q: 1/3 Find the minimum and maximum values of the function y = (t – 3t²)" on the interval [-1,2] by com...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y

A: Given: - The function is, y=1+lnx3xand use a graphing utility to verify your result, To find: - The...

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A: Numerator Cos3 θ+ 2 Cosθ sin θ  - 3 cos θ Cos θ(Cos2θ + 2 Sin θ - 3) Cos θ(1-Sin2θ + 2 Sin θ - 3) Co...

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Q: 6. Find the integral Ssin T* jsin² 2 TTX 2.

A: We have to find integral

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A: Given that: f(c)=1b-a∫abf(x)dx

Q: Solve the initial value problem (x+ 2) y' = xy + 2y – 3x – 6 when x = 0, y = 1.

A: (x+2)y' = xy + 2y - 3x - 6  So, (x+2)y' = (x+2)y - 3(x+2)  So, (x+2)y' = (x+2)(y-3) 

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Q: Let w(x, y, 2) = a? + y? + 2? where a = sin( – 9t), y = cos(- 6t), z = e". dw dæ dy dz by first find...

A: We have  W= x2+y2+z2  Where , x= sin(-9t) , y= cos(-6t), z= e3t  Find dx/dt, dy/dt, dz/dt and dw/dt 

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Q: 2. Find the integral Jsec dx

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). f(x) 2x + v 4x +2 %3D

A: limx→∞2x+4x2+2limx→∞2x+x4+2/x2limx→∞x(2+4+2/x2)=∞ limx→∞2x+4x2+2=∞

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Q: Consider the following. y = tx2 + t°x dy Find dx dy dx dy Find dt dy dt II II

A: y= tx2+t9x  1) find dy/dx  2) find dy/dt 

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A: Given: - The  equation is, ∫01xa(1-x)bdx=∫01xb(1-x)adx, That if a and b are positive numbers. To pro...

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Q: Find the cosine of the angle between the planes  x + y + z = 0 and x + 4y + 3z = 2.

A: The two planes be  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 let the angle between the planes be α  Then cos ...

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A: LetI=∫tan33xsec43xdxI=∫tan23x.tan(3x).sec43xdxWe know that,1+tan2x=sec2x,I=∫-1+sec23xtan3xsec3x.sec3...

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Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each t...

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Q: ii. (x + y)dA Where R = {(z, y)|1 < x² + y? < 4, x < 0}

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