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Lubov Fominskaja [6]
3 years ago
7

A number is k units to the left of 0. What's the location on a number line

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0
The answer to the question listed above is -11
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Using separation of variables technique, solve the following differential equation with initial condition y'= e sinx and y(pi) =
inessss [21]

\begin{aligned}&y'=e^y\sin x\\&\dfrac{dy}{dx}=e^y\sin x\\&\dfrac{dy}{e^y}=\sin x\, dx\\&\int \dfrac{dy}{e^y}=\int \sin x\, dx\\&-e^{-y}=-\cos x+C\\&e^{-y}=\cos x+C\\\end

e^{-0}=\cos \pi +C\\1=1+C\\C=0\\\\\boxed{\boxed{e^{-y}=\cos x}}

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1 year ago
Please I really need help I know it is not A
zhannawk [14.2K]
The answer is D :DDDDDDDDDDD
6 0
3 years ago
"whats the area of a circle with a circumference of 50.24 units"<br>pls help:)​
Umnica [9.8K]

Answer:

200.96 units^2

Step-by-step explanation:

50.24/Pi = 16 (diameter)

16/2=8 (radius)

area = Pi(r^2)

area = 3.14(8^2) = 200.96 units^2

6 0
2 years ago
Read 2 more answers
Find p(-3) if p(x)= 4x^3 - 5x^2 + 7x - 10.
andriy [413]

Answer:

p(-3) = -184

Step-by-step explanation:

p(-3) = 4(-3)^3 - 5(-3)^2 + 7(-3) -10

        = 4(-27) - 5(9) - 21 - 10

        = -108 - 45 - 21 - 10

        = -184

replace x with -3 and then solve

       

7 0
2 years ago
Complex root of x^2+3x+9=0
Luden [163]

\text{Quadratic formula}

ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}

-----------------------------------------------------------------------

x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i

x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i


i=\sqrt{-1}

6 0
3 years ago
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