A vehicle accelerates from rest, and the time it takes to reach the speed v, is given by the following relation: dv t = 5- 2 v0.22 where t is time in seconds [s], and v is speed in meters per second [m/s]. (3-a) Determine the time it takes to reach the speed of 50 m/s, numerically. To achieve this, you must use the Mid-ordinate Rule and the Simpson's Rule, each with 10 intervals. Show all steps by hand for full consideration of the work.

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A: Let's find.

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A: Detailed explanation mentioned below

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Q: Find and classify the critical points of the function f (x, y) = 16x³ – 12x2 + 12xy? + 3y?

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A: Solution is given below : Answer: 48

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Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

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A: Given Degrees of freedom (df)=11

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A: The given function is f(x,y)=1+x2+y21-x2-y2

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Q: For a t-curve with df = 20, find the t-value to.01- O A. 1.325 O B. 2.528 O C. 2.330 O D. 2.539

A:

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A: Topic = Algebra

Q: f(x) = + 3, X with 0 < x< 3

A: The length(arc-length) of the function is given by: L=∫ab1+(f'(x))2dx

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

A:

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Q: Find k so that the function f(x) = x² + kx will be tangent to the line y = 2x-9

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Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

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Q: Find the critical numbers of the function. s(t) = 3t* + 201 - 182

A:

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.