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rusak2 [61]
3 years ago
9

What is the derivative of secx

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0
D/dx sec x=d/dx 1/cos x= sec x tan x
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Finf the exact value of sin A and cos A where a = 9 and b = 10 and <c is a right angle
Katyanochek1 [597]
To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2. 
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)

8 0
3 years ago
Read 2 more answers
Nolan and emily are both selling cookie dough for a fundraiser. Although Nolan has already sold four tubes emily hasn't sold any
just olya [345]

Answer:

it will take 65 days. 130 tubes of cookie dough.

Step-by-step explanation:

3 0
3 years ago
Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution
Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\

for y=e^{6x}:

y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\

Now we replace in the differential equation  y'' − y' − 30y = 0

for y=e^{-5x}:

25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0

for y=e^{6x}:

36e^{6x}-6e^{6x}-30=0\\36-6+30=0

Now, to know if both function are linearly independent we calculate the Wronskian

W(f,g)=fg'-f'g

W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0

I hope this is useful for you

Best regard

7 0
3 years ago
Three times the square of a non-zero number is equal to fifteen times the number.what is the number?
Alona [7]
5 because you subtract 15x and bring it to 3x^2 and get 3x^2-15x=0. Then take out the gcf and you get 3x(x-5)=0. Since it can't be 0, x-5=0 , the answer is 5.
8 0
3 years ago
Please help me with this question and thank you so much for your help ​
melisa1 [442]

Answer:

CosC=0.99

Step-by-step explanation:

Cos C =adjacent /Hypothenus

=36/45

=0.99

7 0
2 years ago
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