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maw [93]
3 years ago
8

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 7x2 + y2 and the

parabolic cylinder y = 3x2

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0
Letting x=t, we get y=3x^2=3t^2 and z=7x^2+y^2=7t^2+(3t^2)^2=7t^2+9t^4, so we can parameterize the intersection by

\mathbf r(t)=\langle t,3t^2,7t^2+9t^4\rangle

where -\infty.

Image attached.

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Which is greater 78.61 or78.6
ANTONII [103]

Answer:

78.61 is greater than 78.6.

Step-by-step explanation:

Adding a zero to 78.6, resulting in 78.60, makes it easier to compare 78.6 and 78.61.  78.61 is greater than 78.6.

7 0
3 years ago
Can you guys help we with this question. ​​​​​​
satela [25.4K]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

4 0
3 years ago
Read 2 more answers
-4x-y=24 missing value
Lunna [17]

Answer:

For solving x         x= -24+y/4  For solving Y                y=−24−4x

Step-by-step explanation:

This is solving for x

Add y to both sides.

−4x=24+y

Divide both sides by -4

and the answer is

x= -24+y/4

THis is solving Y

Add 4x to both sides

−y=24+4x

Multiply both sides by -1

and the answer is  

y=−24−4x

7 0
3 years ago
The diagonals of a rectangle ABCD meet at O if AO=(2x+3)cm and DO=(5x)cm find the length of its diagonals also find the perimete
vfiekz [6]

Step-by-step explanation:

AO = DO

2x+3 = 5x

3 = 5x-2x

3 = 3x

x = 1

DO = 5(1)=5cm

AC = 2×5 = 10cm

BC =√10²-8²

= √100-64

=√36

=6 cm

therefore, the perimeter of the rectangle

= 2×(8+6) = 2(14) = 28 cm

3 0
2 years ago
Add: (g2 – 4g4 + 5g + 9) + (–3g3 + 3g2 – 6)
TiliK225 [7]
Group like terms

-4g^4 - 3g^3 + g^2 + 3g^2 + 5g + 9 - 6

combining like terms:-

= -4g^4 - 3g^3 + 4g^2 + 5g + 3
7 0
3 years ago
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