Give the correct answer and solve the given equation

FizeauV
2021-03-06
Answered

Give the correct answer and solve the given equation

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asked 2021-02-24

asked 2021-05-11

Evaluate the line integral, where C is the given curve

C xy ds

C:$x={t}^{2},y=2t,0\le t\le 5$

C xy ds

C:

asked 2021-05-13

Evaluate the line integral, where C is the given curve

${\int}_{C}(\frac{x}{y})ds,C:x={t}^{3},y={t}^{4},1\le t\le 4$

asked 2021-08-06

The analysis of tooth shrinkage by C. Loring Brace and colleagues at the University of Michigan’s Museum of Anthropology indicates that human tooth size is continuing to decrease and that the evolutionary process has not yet come to a halt. In northern Europeans, for example, tooth size reduction now has a rate of 1% per 1000 years.

a. If t represents time in years and y represents tooth size, use the condition that$y=0.99{y}_{0}$ when t = 1000 to find the value of k in the equation $y=y0{e}^{kt}$ . Then use this value of k to answer the following questions.

b. In about how many years will human teeth be 90% of their present size?

c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?

a. If t represents time in years and y represents tooth size, use the condition that

b. In about how many years will human teeth be 90% of their present size?

c. What will be our descendants’ tooth size 20,000 years from now (as a percentage of our present tooth size)?

asked 2021-11-19

Solve the following integrals.

$\int \frac{{x}^{2}}{\sqrt{{x}^{2}+6}}dx$

$\int \frac{dx}{{(2+{x}^{2})}^{\frac{3}{2}}}$

asked 2022-07-11

asked 2022-05-11

Integrate $-\frac{{t}^{3}}{2}\ufeff+\frac{5}{2{t}^{2}}+2t-3\mathrm{cos}(t)$ with respect to t.