4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x<1

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A:

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A: Proof be attached in second step hopefully you understand.

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A: This problem can be solved as follows

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A: Topic = Differential equation

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A:

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A: Topic = Limits

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Q: For the differential equation (D³ + D² + 4D + 4)y = 0 when x = 0, y' = -1, y" = 5 Find y when x = T

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A:

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Q: Function Type Differential Operator AxN + BxN-1 + .+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D2 ...

A:

Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: Solve the linear differential equatio (D²+ GD+ 13y = 26 + GR cos

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A: First I have written the given differential equation into operator form and then find the auxiliary ...

Q: 2 1 + 22 + 1 32 + 1 1 + 42 + 1 d) + + ... 12 + 1

A:

Q: Which of the following answer choices give the equation of an asymptote for the graph of f(x) = cot ...

A: Use the definition of asymptote 

Q: Evaluate the definite integral. 4. x³ + 1 dx

A: ∫122x2x3+1dx  

Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

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Q: Ex , Prx , fy, fyy, Pxy, fyx F(X, y) = %3D x +y

A: Given: f(x,y)=1x+y

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Q: Find a) the greatest common divisor (GCD) and b) the least common multiple (LCM). 50 and 120 a) The ...

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Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

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Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

A:

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

A: Volume=13π15 cubic units

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Q: Sove the differential equations (2y- 2x + X 1+ x²yz

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

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A: Given

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

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Q: 2 Can the Fundamental Theorem of Calculus be used to find /. L dx? 6-x 6-x O Yes, f(x) = is continuo...

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Q: Q3 (10 M)/find the polar form of (-1+i)

A: See step 2

Q: Differential Operator General Solution ... DN AxN-1 + BxN-2 + ..+C (D - a)N AxN-leax + BxN-2eax +.. ...

A:

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A: Given that: f(t)=-28cosπt6+41

Q: 4. f(x) = 5. f(x) = at x = 2 %3D 一八 at x = 0 %3D

A: This is problem of continuity of the function.  Function is called as continuous if the right hand s...