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Korolek [52]
3 years ago
13

Suppose that m and n are integers. compute r 2π 0 cos(mx) cos(nx) dx. (be careful: there will be two different results, one when

m = n and one when m 6= n.) (b) explain why the result you got for the m 6= n case is not valid when m = n. (c) suppose f(x) = a cos(x) + b cos(2x) + c cos(3x), and that you also know r 2π 0 f(x) cos(x) dx = 5 ; r 2π 0 f(x) cos(2x) dx = 6 ; r 2π 0 f(x) cos(3x) dx = 7 . find a and b and
Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
I believe that a would be 12 and b would be 17. Im not positive though, but let me know if I am right.!
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Which pair of points have a slope of -3/5?
Allushta [10]

Answer:

No of these answers has a slope of  \frac{-3}{5} . My guess is B becasue its close to \frac{-3}{5} unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula \frac{y_{2} - y_{1} }{x_{2} - x_{1} }

(x_{1},y_{1}), (x_{2},y_{2})

(4, 0), (-2, 10)   \frac{10 - 0 }{-2 - 4 }= \frac{10}{6} you have to simplfy, the answer will be \frac{5}{3}

(10, -2), (0, 4)  \frac{4 - -2 }{0- 10 }= \frac{6}{-10} you have to simplfy, the answer will be \frac{3}{-5}

 (4, 2), (10, 4)  \frac{4 - 2 }{10 - 4 }= \frac{2}{6} you have to simplfy, the answer will be \frac{1}{3}

 (-4, -10),(0, -2) \frac{{-2- -10} }{0 - -4 }= \frac{8}{4} you have to simplfy, the answer will be \frac{2}{1} =2

5 0
3 years ago
Help please thanks :)
Gre4nikov [31]

Answer:

the third one down, there is no gap in the data set

Step-by-step explanation:

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8 0
3 years ago
A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners
Vlada [557]

Answer:

The measures of the angles at its corners are 59.1\°,35.4\°,85.5\°

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)

2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}

cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))cos(A)=0.513953

A=arccos(0.513953)=59.1\°

step 2

Find the measure of angle B

Applying the law of cosines

125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)

2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}

cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))cos(B)=0.81489

B=arccos(0.81489)=35.4\°

step 3

Find the measure of angle C

Applying the law of cosines

215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)

2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}

cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))cos(C)=0.0784

C=arccos(0.0784)=85.5\°

3 0
3 years ago
1 and 1/4 x 6 plz help I give 5 stars ⭐️ ⭐️ ⭐️ ⭐️ ⭐️
Anon25 [30]

Answer: 7 1/2

Step-by-step explanation:

8 0
2 years ago
Help meeee plz I don’t get it
MatroZZZ [7]

Answer: F

Step-by-step explanation:

This is basically like 2 rectangles. Find the area of both and add them together.

Remember that the area is l x w.

Area of Rectangle 1: l = 7, w = 14

14 x 7 = 98cm^{2}

Area of Rectangle 2: l = 5, w = 14

14 x 5 = 70cm^{2}

Add the areas together: 98cm^{2} + 70cm^{2} = 168cm^{2}

6 0
3 years ago
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