Differentiate y= tanx using first principle

Jete Igbodo
2022-07-19

Differentiate y= tanx using first principle

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asked 2022-06-29

asked 2022-09-06

${\int}_{0}^{2\pi}\frac{1}{{\mathrm{sin}}^{4}x+{\mathrm{cos}}^{4}x}$

1) I've tried multiplying by ${\mathrm{sec}}^{4}x$ and doing u substitution, but It used crazy amounts of upper level maths

2) I've tried double/half angle identities to simplify down to $\frac{1}{1-\frac{1}{2}{\mathrm{sin}}^{2}2x}$

3) I've mixed strategies and came up with $\frac{4\mathrm{cos}2x}{4\mathrm{cos}2x-\mathrm{cos}3x\mathrm{cos}x}$

1) I've tried multiplying by ${\mathrm{sec}}^{4}x$ and doing u substitution, but It used crazy amounts of upper level maths

2) I've tried double/half angle identities to simplify down to $\frac{1}{1-\frac{1}{2}{\mathrm{sin}}^{2}2x}$

3) I've mixed strategies and came up with $\frac{4\mathrm{cos}2x}{4\mathrm{cos}2x-\mathrm{cos}3x\mathrm{cos}x}$

asked 2021-09-19

B. G. Cosmos, a scientist, believes that the probability is

asked 2021-09-25

Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma. Over a period of months, an adult male patient has taken eight blood tests for uric acid. The mean concentration was x¯=5.35mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal with σ=1.85mg/dlσ=1.85mg/dl. What conditions are necessary for your calculations?

asked 2021-08-16

Classify each of the studies as either descriptive or inferential. Explain your answers. In an article titled “Teaching and Assessing Information Literacy in a Geography Program” (Journal of Geography, Vol. 104, No. 1, pp. 17-23), Dr. M. Kimsey and S. Lynn Cameron reported results from an on-line assessment instrument given to senior geography students at one institution of higher learning. The results for level of performance of 22 senior geography majors in 2003 and 29 senior geography majors in 2004 are presented in the following table. Level of performance Met the standard: 36−48 items correct Passed at the advanced level: 41−48 items correct Failed: 0−35 items correct Percent in 2003 82%50%18% Percent in 2004 93%59%7%
Level of performance
Met the standard:
36−48 items correct

Passed at the advanced level: 41−48 items correct

Failed: 0−35 items correct

Percent in 2003

82%

50%

18%

Percent in 2004

93%

59%

7%

Passed at the advanced level: 41−48 items correct

Failed: 0−35 items correct

Percent in 2003

82%

50%

18%

Percent in 2004

93%

59%

7%

asked 2021-03-01

Using the Mathematical Induction to prove that: ${3}^{2n}-1$ is divisible by 4, whenever n is a positive integer.

asked 2020-11-20

In fall 2014, 38% of applicants with a Math SAT of 700 or more were admitted by a certain university, while 12% with a Math SAT of less than 700 were admitted. Further, 32% of all applicants had a Math SAT score of 700 or more. What percentage of admitted applicants had a Math SAT of 700 or more? (Round your answer to the nearest percentage point.)