12) Find the force on a submerged gate shaped as a parabola 12m high and 8m across its top if the water's surface is at its top (p=1000kg/m³ and g=9.8m/s²).

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A: Follow the procedure given below.

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A: We have to find radius of convergence.

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A: The integral is given by I = ∫xe357xdx                              ........1 To Identify: The expre...

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A: Follow the procedure given below.

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A: In this question we have to find the value of x(1).

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A: Follow the procedure given below

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A: Note: -  Since you have asked multiple questions, we will solve the first question for you. If you w...

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A: Find your answer below 

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A:

Q: Ex: Find gof, Fex) メ-15 2. gcx) = gox) x+2X

A:

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A: Based on the general formula of differential equation we will solve the question. First by substitut...

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A:

Q: Analyze what solution you will use whether it is bernoulli's equation / solution by substitution / s...

A: Let's find. 

Q: Sketch the region enclosed by the given curves. x = 3y2, x = 4 + 2y2 y y 12 10 8 6 6 8 10 12 2 1 2 y...

A: The region is enclosed by the curves,x=3y2, x=4+2y2

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A:

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A: topic- application of derivatives

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A:

Q: 3. Equation of the line that passes through the points (2, 3) and (4, 1).

A: Given points (2,3) and (4,1) We have to find equation  

Q: Topic: First order differential equations Analyze what solution you will use whether it is bernoulli...

A:

Q: check if it is homogeneous and to what degree (3x - cosy)dy t_x' dy =0

A: Find your answer below 

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A:

Q: Work of 3 Joules is done in stretching a spring from its natural length to 14 cm beyond its natural ...

A: Let's find. 

Q: 6. Equation of the line that passes through (-5, -8) and is perpendicular to the line: 3x-9y =7.

A:

Q: B. find y' and y" 5x+2 1. y = %3D 3x-7 2. y = (x2 +x + 1)2 C. 1. If f(x) = Vx find,f '(4) and f "(4)

A: Topic = Derivative As per guidelines , At a time only three sub-parts can be answered. please repost...

Q: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes.

A: using trace function we have drawn the graph of the function. 

Q: Given the following polar function 16

A:

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A: We use exact and non exact differential equations concept to solve the given differential equation. ...

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A:

Q: The derivative of the function y = tan-1 1+ csc-1 x, where x > 1 is: CSC y' = 0 y' = 1 %3D %| O the ...

A: y=tan-1x2-1+csc-1x   where x>1

Q: The derivative of the function y = xe(5+sec(2x)) is: y' [1+ 2x sec(2x) tan(2x)Je(*ece(2x) y' [1+x se...

A: We will find the derivative of the given function. 

Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

A:

Q: Find the equation of the tangent line to the curve y= 3x^2 - 2 passing through the point P(-1,1) .

A:

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x = 5....

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A:

Q: 2. Find the equation of the tangent line to the parabola 2y^2+36x=0 which is parallel to the line 4x...

A:

Q: 3. Use g(x)=e* (x-a) and g'(x) =-2e (x-a)(x-ax-1) to answer the questions. a) Find lim g(x) and lim ...

A: This question is based on Finding limits using L hospitals rule.

Q: Solve the equation. Show your work on a separate paper and be sure to check your solutions. |2r– 1|=...

A: Here we will solve the given equation with check,

Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

A:

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A:

Q: + yž = 1, when x = 0, y = 4 dx cos(x + y), when x = 0,y =" dx

A: The objective is to find the solution of the differential equation.

Q: Which of the following statements about quadratic functions are true? Select all that apply. OA quad...

A: topic - quadratic equations