Question

In: Mechanical Engineering

Use MuPAD to compute the following limits.

Expert Solution

We are required to find out the limits of the functions using MATLAB. In MATLAB we have the function limit (E, v, a, ‘d’) to calculate limits.

Here

E is the expression

v is the variable which is changing

a is the limit the variable tends to

d is the direction of approach

(a)

We have our first expression as

lim_x→∞ x + 1/x

For this first example we will show how to put each argument in the function. Here

E = x + 1/x

v = x

a = ∞

There the value d is ignored as the limit is neither left-sided nor right-sided.

The screenshot of MATLAB window below shows the input and the output.

The correct answer as shown by MATLAB is 1.

(b)

We have our expression as

lim_x→∞(3x³ – 2x)/(2x³ + 3)

The screen shot of MATLAB window below shows the input and the output.

The correct answer by MATLAB is 3/2

(a) The correct answer as shown by MATLAB is 1.

(b) The correct answer by MATLAB is 3/2

Junaid answered 3 years ago

Use MuPAD to compute the following limits. a. lim x* x0+ b. lim (cos x)/tan

Compute the upper and lower control limits if samples of size 4 are to be used....

Compute the upper and lower control limits if samples of size 4 are to be used. UCL= LCL= Compute the upper and lower control limits if samples of size 8 are to be used. (Round your answers to three decimal places.) UCL= LCL= Compute the upper and lower control limits if samples of size 16 are to be used. UCL= LCL=

1. Use the given graph off and g to evaluate the following functions and limits, if...

Use the given graph off and g to evaluate the following functions and limits, if it exists. If the limit does not exist, write DNE and explain why. (a)

\lim _{x \rightarrow 0^{+}} f(x)=

(b)

\lim _{x \rightarrow-1} f(x)=

(c)

\lim _{x \rightarrow 1} g(x)=

(d)

\lim _{x \rightarrow-2}\left(\frac{f(x)}{g(x)}\right)=

(e)

\lim _{x \rightarrow 1}(f(x) \cdot g(x))=

(f)

g(-1)=

(e)

\lim _{x \rightarrow 3} f(x)=

(h)

f(0)=

Explanation for non existent limits: Explanation is required for credit (i.e., a correct DNE response above is worth no points).

Use MuPAD to determine all the local minima and local maxima and all the inflection points where dy/dx = 0 of the following function:

Use MuPAD to solve the polynomial equation x3 + 8x2 + ax + 10 = 0 for x in terms of the parameter a,

Use MuPAD to solve the polynomial equation x3 + 8x2 + ax + 10 = 0 for x in terms of the parameter a, and evaluate your solution for the case a = 17. Use MuPAD to check the answer.

Compute the following ratios for two years. You may use Excel to compute your ratios. (all...

Compute the following ratios for two years. You may use Excel to compute your ratios. (all these formulas should be bases on the company you picked, in this case (Johnson & Johnson) use numbers from balance sheet and income statements found online. Debt ratio Gross profit margin Free cash flow Times interest earned Accounts receivable turnover Inventory turnover Prepare a DuPont Analysis of ROE for two years, including computations of Return on Sales Asset Turnover Return on Assets Financial Leverage...

For the standard normal curve, compute the following probabilities. Do not use your calculator. Use the...

For the standard normal curve, compute the following probabilities. Do not use your calculator. Use the standard normal table in the appendix of your textbook. This will require you to show work (sometimes trivial) such as subtracting probabilities, subtracting a probability from 1, etc. P[ -.39 < Z < 1.69] P[Z ≥ 1.14] P[Z < -1.42] P[1.27 < Z ≤ 1.38]

Use MuPAD to find all the values of x where the graph of y = 3x - 2x has a horizontal tangent line.

Use MuPAD to find the point on the line y = 2 – x/3 that is closest to the point x = -3, y = 1.

Use the following information to compute the confidence interval for the population proportion. a. n =...

Use the following information to compute the confidence interval for the population proportion. a. n = 715 and x = 329, with 95% confidence b. n = 284 and p̂ = .71, with 90% confidence c. n = 1250 and p̂ = .48, with 95% confidence d. n = 457 and x = 270, with 98% confidence Appendix A Statistical Tables (Round your answers to 4 decimal places.) a. ≤ p ≤ b. ≤ p ≤ c. ≤ p ≤...