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aev [14]
3 years ago
6

HELP ME PLEASE I NEED HELP

Mathematics
1 answer:
enyata [817]3 years ago
5 0
I say it is c for sure
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Write each of the following as a polynomial in descending powers of its variable
nikklg [1K]
1. 7x(x + 3)
    7x(x) + 7(3)
    7x² + 21

2. (7x + 1)(x + 3)
    7x² + 21x + x + 3
    7x² + 22x + 3

3. (x² + x)²
    (x² + x)(x² + x)
   x^4 + x³ + x³ + x²
   x^4 + 2x³ + x²
4 0
3 years ago
The length of the rectangle is 19 less than 3 times the width. If the width of the rectangle is 9 cm, what would the length of t
Delicious77 [7]

Step-by-step explanation:

Given,

width = 9cm

so a/q length of the rectangle will be 19 - ( 9×3) = 19 - 27 = 8 cm

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5 0
2 years ago
Read 2 more answers
Use Lagrange multipliers to find the maximum and minimum values of (i) f(x,y)-81x^2+y^2 subject to the constraint 4x^2+y^2=9. (i
sp2606 [1]

i. The Lagrangian is

L(x,y,\lambda)=81x^2+y^2+\lambda(4x^2+y^2-9)

with critical points whenever

L_x=162x+8\lambda x=0\implies2x(81+4\lambda)=0\implies x=0\text{ or }\lambda=-\dfrac{81}4

L_y=2y+2\lambda y=0\implies2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_\lambda=4x^2+y^2-9=0

  • If x=0, then L_\lambda=0\implies y=\pm3.
  • If y=0, then L_\lambda=0\implies x=\pm\dfrac32.
  • Either value of \lambda found above requires that either x=0 or y=0, so we get the same critical points as in the previous two cases.

We have f(0,-3)=9, f(0,3)=9, f\left(-\dfrac32,0\right)=\dfrac{729}4=182.25, and f\left(\dfrac32,0\right)=\dfrac{729}4, so f has a minimum value of 9 and a maximum value of 182.25.

ii. The Lagrangian is

L(x,y,z,\lambda)=y^2-10z+\lambda(x^2+y^2+z^2-36)

with critical points whenever

L_x=2\lambda x=0\implies x=0 (because we assume \lambda\neq0)

L_y=2y+2\lambda y=0\implies 2y(1+\lambda)=0\implies y=0\text{ or }\lambda=-1

L_z=-10+2\lambda z=0\implies z=\dfrac5\lambda

L_\lambda=x^2+y^2+z^2-36=0

  • If x=y=0, then L_\lambda=0\implies z=\pm6.
  • If \lambda=-1, then z=-5, and with x=0 we have L_\lambda=0\implies y=\pm\sqrt{11}.

We have f(0,0,-6)=60, f(0,0,6)=-60, f(0,-\sqrt{11},-5)=61, and f(0,\sqrt{11},-5)=61. So f has a maximum value of 61 and a minimum value of -60.

5 0
3 years ago
Need help with finding X
Zarrin [17]

Answer:

Step-by-step explanation:

5 0
2 years ago
Complete the sentence.<br> The bases of a circular cylinder are two ___<br> ao circles.
horrorfan [7]

Answer:

congruent & parallel

Step-by-step explanation:

The bases of a circular cylinder are congruent and parallel to each other. If you need more explanation, reply to my answer.

3 0
2 years ago
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