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Lorico [155]
3 years ago
11

Let Pn be the vector space of all polynomials of degree n or less in the variable x. Let D²: P4→P2 be the linear transformation

that takes a polynomial to its second derivative. That is, D²(p(x))=p″(x) for any polynomial p(x) of degree 4 or less.
(a) Find a basis for the kernel of D².
(b) Find a basis for the image of D².
Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Please view the attached file.

Download docx
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Two similar cylindrical objects have a scale factor of 2/3.what is the ratio of their volumes.​
sasho [114]

Answer:

A) 2 : 3

Reason: Since their scale factor is 2 / 3, meaning that the object 2 / 3 of the other same object, so the volume also 2 / 3 of the other object

7 0
2 years ago
A candy company designs a package to hold chocolates. The height of the container is 13 inches and the diameter of its bottom is
mote1985 [20]

Answer:

cone,258

Step-by-step explanation:

i got it right

7 0
2 years ago
Marissa pours 1 1/2 cups of punch in each glass. How many fluid ounces is each serving
astraxan [27]
There are 8 ounces in 1 cup so 8+4=12. Marissa is serving 12 ounces
6 0
4 years ago
Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5?
zepelin [54]
2x^2+8x-12=0
with form
ax^2+bx+c=0

move c to the other side
2x^2+8x=12

x^2 is multiplied -> divide equation by 2
x^2+4x=6

complete square:
divide b=4 by 2
4*1/2=2

square 2
2^2=4

add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10

transform to polynom
(x+2)^2=10

this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4

bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)


so it is option B
8 0
3 years ago
Read 2 more answers
A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of can
Helen [10]

Answer:

3 boxes of candy will cost $12 and 4 bags of popcorn will cost $28, adding the two gives us $40. They are only allowed to spend 42 dollars

Step-by-step explanation:

5 0
3 years ago
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