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3 years ago

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?

Mathematics

1 answer:

Gnoma [55]3 years ago

8 0

Answer:

We know that the derivative of sec x is sec x tan x. Thus, the integral of sec x tan x is sec x. i.e., ∫ sec x tan x dx = sec x + C.

Step-by-step explanation:

The standard trick used to integrate secx is to multiply the integrand by 1 = sec x+tan x. sec x+tan x. and then substitute y = secx + tanx, dy = (secxtanx + sec2 x) dx. ∫ secx dx = ∫ secx sec x+tan x).

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If you copy a page on a machine at 72%, you should get a similar copy of the page. What is the corresponding setting to obtain t

allsm [11]

Answer:

$138\frac{8}{9}\%$

Step-by-step explanation:

we know that

To find out the corresponding setting to obtain the original from the copy, divide 100% by 72%

$\frac{100}{72}$

Simplify

$\frac{100}{72}=\frac{25}{18}$

Convert to percentage

$\frac{25}{18}(100)=\frac{2,500}{18}\%$

Simplify

$\frac{2,500}{18}\%=\frac{1,250}{9}\%$

Convert to mixed number

$\frac{1,250}{9}\%=\frac{1,242}{9}+\frac{8}{9}=138\frac{8}{9}\%$

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3 years ago

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Hitman42 [59]

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3 years ago

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3 years ago

Elena and Jada are 25 miles apart when they start moving toward each other. Elena runs at a constant speed of 6 mph and Jada wal

Setler [38]

Answer:

The Time taken by Elena and Jade to meet up is 2.5 hours

Explanation:

Given,

Elena moves with a speed of 6mph while Jada walks at a speed of 4 mph

Also, Distance can be calculated by the formula

$Distance = Speed * Time$

To find out the Total speed, i.e., speed of both Elena and Jada as both of them are walking in opposite direction we should add the speed of both the persons, if in same direction we should subtract the values

Here it will be: $6 + 4$ = 10mph

Distance apart is given as 25 miles. Substituting the values,

$Distance = Speed * Time$

25 = $10 * time$

Time = 25/10

Time = 2.5 hour

Hence, It will take 2.5 hours to meet up.

3 0

4 years ago

You have just arranged for a $1,560,000 mortgage to finance the purchase of a large tract of land. the mortgage has an apr of 5.

seraphim [82]

P=1560000
APR=5.6%
monthly interest, i=5.6%/12=7/1500 [fractions keep exact values]
R=1+i=1+7/1500
# of periods, n=30 years = 360 periods
monthly payment, A
A=PR^n(i)/(R^n-1)
=1560000*(1+7/1500)^360*(7/1500)/((1+7/1500)^360-1)
=$8955.632

At the end of eight years,
number of periods, n1 = 8*12 = 96

If paid off at the end of 8 years, value of loan then
future value of principal
F1=PR^n1=1560000*(1+7/1500)^96=2439135.635
future value of payments
F2=A(R^n1-1)/i=8955.632*(1+7/1500)^96-1)/(7/1500)=1081485.620
Therefore the balloon payment
= future value of principal (owing) - future value of payments (paid)
=F1-F2
=2439135.635-1081485.620
=1357650.0152
Round to two places after decimal to get final answer.

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3 years ago

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?​

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?