Calculate the fluid force on one side of the plate using the coordinate system shown below. Assume the density is 62.4 Ib/ t3 The fluid force on one side of the plate is Ib. y (f) ...... x (f) Surface of pool Depth lyl - 3 xy)

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A: We have to find the volume and distance of given question 

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Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n = 1 n8"

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A: Solution:

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A: Solution is given below:

Q: 2+3i ++i Evaluate the expression 1+2i, 6-i, Express the answer in rectangular form.

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Q: Assume that the function f is a one-to-one function. (a) If ƒ(6) = 2, find f'(2). Your answer is (b)...

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Q: up 4+y 10 -b -8 -7 -6 -5 -4 -3 -2 -1 3 4 5 6 7 8 10 -2 3 -4 -6- Give the equation for the ellipse gr...

A: We can find the equation of ellipse from the graph as below.

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Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

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A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents ...

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A: This is a problem related to differential equation. Based on the integrating factor formula we will ...

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Find the indicated vector. Let u = (-8, 6), v = (8, s). Find 7 u + 9 v. O (-128, –30) O (-14 144) O ...

A: Given query is to find indicated vectors.

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Q: Write a differential equation that models the given situation. The stated rate of change is with res...

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A: This question can be solved using properties of logarithm.

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Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y no matter what value the constant k has...

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Q: Solve the following differential equations 3x² d+ x dx2 C- + y = x.

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Q: 1 )dx 4.

A: We will use substitution method to solve question 4.

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Q: y)dx

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Q: Find the integral of sin^8 xdx from x = π/2 to x = 2π  a. 0.814 b. 1.289 c. 0.240 d. 0.365

A: We have to find  the integral of sin8 xdx from x = π/2 to x = 2π 

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A: Solution: Given data, f is a function f' represents??  

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A: We have to find the probability [ P(0 <= x < inf) ]

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A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

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A: Here, the given limits of integrations are: x=0, x=y, y=0, y=6 Plot the region bounded by the given ...

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A: The solution is given in the next step.

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