Ah okay so in differential equations you usually want the top variable isolated. To do this, multiply by dt and 2u and you get

Now just integrate both sides. The integral of 2u with respect to u is u². The integral of (2t + sec²(t) with respect to t is t² + ∫sec²(t)dt. The last part is just tan(x) because d/dt(tan(t)) is sec²(t) so just integrating gets us back. Now we have

Where c and k are arbitrary constants. Subtracting c from k and you get

Where b is another constant. To find b, just plug in u(0) = -1 where u is -1 and t is 0. This becomes

tan(0) is 0 so b = 1. Take the plus or minus square root on both sides and you finally get

But Brainly didn't let me do but juat remember there is a plus or minus square root on the left.
Answer:
y = -
x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
14x + 6y = 36 ( subtract 14x from both sides )
6y = - 14x + 36 ( divide all terms by 6 )
y = -
x + 6, that is
y = -
x + 6 ← in slope- intercept form
Answer:
x=17
Step-by-step explanation:
3x-24=x+10
Carry over the like terms and put them together. Make the unknowns which are x the subject.
3x-x= 24+10
2x= 34
2x= 34/2
x= 17
First you have to factor (aka, multiply) your binomial (which is what you have written) usually it helps to organize your thinking, and help tell what you need to multiply, to use the binomial chicken(or crab claw, what ever you want to call it) which basically you draw two arches, one arch connecting the 3 and 4, and then the other the 3 and 9i. on the opposite side (depending on wheater you connected then from the top or bottom) you connect (with an arch) the 6i and the four, and then the 6i to the 9i.
so now you multiply each piece you've connected:
3 x 4= 12
3 x 9i= 27i
6i x 4= 24i
6i x 9i= 54i^2
after you've done this you can move on to putting it into standard form, which just means you put things in descending order, depending on how many exponents the x (or in this case i) has.
your largest exponent is 54i^2, so that's first in out equation, next 27i, and 24i (you can combine these because they are like term) which equals 51i, after that you just add the 12 on the end, so the final equation looks like this:
54i^2+51i+12
Answer:
22
Step-by-step explanation:
4x² + 3x = 4(2)² + 3(2) = 4(4) + 6 = 16 + 6 = 22
Answer: 22