Answer:
The indefinite integral
= 
ˣ 
⁺ C
Step-by-step explanation:
x= 10sinθ
dx = 10cosθdθ
the step-to-step explanation is in the attachment
The next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279
You order the y-values from greatest to least, which are 2, 2, 3, and 4. You don't need to duplicate the same y-values, so the range is {2, 3, 4}
Answer: Approximately d = 208.72
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Work Shown:
Make sure your calculator is in radian mode
A quick way to check is to compute cos(pi) and you should get -1
cos(angle) = adjacent/hypotenuse
cos(x) = 200/d
cos(0.29) = 200/d
d*cos(0.29) = 200
d = 200/cos(0.29)
d = 208.715135166392 which is approximate
d = 208.72
I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.
Answer:
x = 6.39, y = 1.69 is the solution of the given equation system.
Step-by-step explanation:
Here, the given set of equation is:
5 x = 15 + 10 y ⇒ 5 x - 10 y = 15 ...... (1)
3 x +7 y = 31 ............. (2)
Now, the coefficient of x in first equation id 5 and in second is 3.
So, MULTIPLY (1) with 3 and (2) with -5 , we get:
15 x - 30 y = 45
-15 x- 35 y = -155
<u>ADD BOTH EQUATIONS ,</u> we get:
15 x - 30 y -15 x- 35 y = 45 - 155
or, -65 y = -110
or, y = 110/65 = 1.69
Put y = 1.69 in 3 x +7 y = 31 , we get:
3(x) + 7 (1.69) =31
⇒ 3 x = 19.17 or x = 6.39
Hence, x = 6.39, y = 1.69 is the solution of the given equation system
