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algol13
4 years ago
8

Find the derivative of the following functions f(x) = x^7 - 2x^3 - 9x

Mathematics
1 answer:
Finger [1]4 years ago
8 0
Use the power rule,
d(x^n)/dx = nx^(n-1)

So
f(x)=x^7-2x^3-9x
f'(x)=7x^6-6x^2-9
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Find all solutions for a triangle with c=70 c=24 and a=25
Slav-nsk [51]

Answer:

see the attachments for the two solutions

Step-by-step explanation:

When the given angle is opposite the shorter of the given sides, there will generally be two solutions. The exception is the case where the triangle is a right triangle (the ratio of the given sides is equal to the sine of the given angle). If the given angle is opposite the longer of the given sides, there is only one solution.

When a side and its opposite angle are given, as here, the law of sines can be used to solve the triangle(s). When the given angle is included between two given sides, the law of cosines can be used to solve the (one) triangle.

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Here, the law of sines can be used to solve the triangle:

A = arcsin(a/c·sin(C)) = arcsin(25/24·sin(70°)) = 78.19° or 101.81°

B = 180° -70° -A = 31.81° or 8.19°

b = 24·sin(B)/sin(70°) = 13.46 or 3.64

5 0
3 years ago
Read 2 more answers
If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
rjkz [21]

Answer:

The correct option is 4.

4) Doing two distance formulas to show that adjacent sides are not the same length.

Step-by-step explanation:

Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.

We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.

However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.

7 0
3 years ago
What should be the three sides of a triangle to make it right triangle?
drek231 [11]
Sum of square of two sides must be equal to the square of third side.
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3 years ago
Q16. Find x^2 + 1/x^2 , if x + 1/x = 3
erica [24]

Answer:

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8 0
3 years ago
Write in ordinary form : 6 x 10^-4
GuDViN [60]
6x10^-4
move 4 places to the left
The answer is 0.0006,
5 0
4 years ago
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