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2 years ago

Which number is greater then -3 A.-1 B.-3 C.-5 D.-7

Mathematics

2 answers:

Rina8888 [55]2 years ago

8 0

Answer:

Step-by-step explanation:

Hatshy [7]2 years ago

3 0

Answer:

Step-by-step explanation:

-1 = 1

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Solve the system of linear equations using linear combination.

snow_lady [41]

Answer:

a = 1, b = 7

Step-by-step explanation:

Given the 2 equations

3a + 6b = 45 → (1)

2a - 2b = - 12 → (2)

Multiply (2) by 3 and add to (1) to eliminate the term in b

6a - 6b = - 36 → (3)

Add (1) and (3) term by term

(3a + 6a) + (6b - 6b) = (45 - 36)

9a = 9 ( divide both sides by 9 )

a = 1

Substitute a = 1 in either (1) or (2) and solve for b

(1) → 3 + 6b = 45 ( subtract 3 from both sides )

6b = 42 ( divide both sides by 6 )

b = 7

8 0

3 years ago

Solve the differential equation by variation of parameters.<br><br> y''+y=secx

suter [353]

Answer:y=

Acosx+Bsinx +cosx ln(cosx)+x sinx

Step-by-step explanation:

given equation y''+y=secx

auxiliary equation

$p^2+1=0\\p=\pm i$

so CF is y=Acosx+Bsinx

now

$y_1(x)=cosx \ \ \ \ y_2(x)=sinx\\{y_1}'(x)=-sinx \ \ \ \ {y_2}'(x)=cosx$

using wronskian formula

$W=\begin{vmatrix}cosx &sinx \\ -sinx & cosx\end{vmatrix}$

= $cos^2x+sin^2x=1$

now f(x)=secx

$u=-\int \frac{f(x)y_2(x)}{W(x)}dx \ and \ v=\int \frac{f(x)y_1(x)}{W(x)}dx$

$u=-\int \frac{secx\times sinx}{1}dx \ and \ v=\int \frac{secx\times cosx}{1}dx$

$u=-\int tanx dx \ and \ v=\int {1}dx$

$u=ln(cosx) \ \ \ and \ \ v=x$

now particular integrals are

PI=cosx ln(cosx)+x sinx

total solution

y= C.F+P.I

y=Acosx+Bsinx +cosx ln(cosx)+x sinx

8 0

3 years ago

) If the gradient of ff is ∇f=xi⃗ +yj⃗ +3zyk⃗ ∇f=xi→+yj→+3zyk→ and the point P=(−6,−6,−2)P=(−6,−6,−2) lies on the level surface

Paha777 [63]

Answer:

-3x-3y-z=38

Step-by-step explanation:

To find the equation of the tangent plane you can use

$\bigtriangledown f_x(x_0,y_0,z_0)(x-x_0)+\bigtriangledown f_y(x_0,y_0,z_0)(y-y_0)+\bigtriangledown f_z(x_0,y_0,z_0)(z-z_0)=0$

the point P is (-6,-6,-2). Hence you have

$(-6)(x-(-6))+(-6)(y-(-6))+(-2)(z-(-2))=0\\-6x-36-6y-36-2z-4=0\\-6x-6y-2z=76\\-3x-3y-z=38$

hope this helps!!

5 0

3 years ago

Solve the expression 94-x-67-x

Leni [432]

I guess it is simplifying the expression:

${ \tt{94 - x - 67 - x}} \\ = { \tt{94 - 67 + ( - x - x)}} \\ = { \tt{27 - (x + x)}} \\ = { \tt{27 - 2x}}$

7 0

2 years ago

Read 2 more answers

If 3x + 2y = 8 and x is twice the value of y, what is the value of x<br> -y?

Galina-37 [17]

Answer:

Step-by-step explanation:

3x+2y=8

x=2y

3(2y)+2y=8

6y+2y=8

8y=8

y=1

x=2(1)

x=2

x-1=2-1

x-y=1

3 0

2 years ago

Read 2 more answers