Mulitple choice math in picture please help

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

None skcjsicjfjsjcbfjsixhcjsizjcbfsjs

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N=4; 2i and 3i are zeros f(-1)=50

Nonamiya [84]

Solution:- $\text{Let f(x) be any nth degree polynomial with n=4}\\$

$\text{Given that 2i and 3i are the zeroes of f(x)}$

$\text{so (x-2i) and (x-3i) are factors of f(x)}$

$\text{Since 2i is a zero of f(x) then its conjugate -2i is also a zero of f(x)}$

$\Rightarrow(x+2i) \text{is a factor}\\\text{Similarly, conjugate of 3i is -3i is also a zero of f(x) }\\\Rightarrow(x+3i)\text{is a factor}\\\text{So , }\\f(x)=k(x-2i)(x+2i)(x-3i)(x+3i)\\=k(x^2-(2i)^2)(x^2-(3i)^2)\\=k(x^2-4i^2)(x^2-9i^2)\\=k(x^2+4)(x^2+9)\\=k(x^4+13x^2+36)\\\text{As given}\\f(-1)=50\\\Rightarrow k((-1)^4+13(-1)^2+36)=50\\\Rightarrow k(1+13+36)=50\\\Rightarrow k(50)=50\\\Rightarrow k=1\\\text{So by substituting k=1 in f(x) we get ,}\\f(x)=(x^4+13x^2+36)$

6 0

3 years ago

X(t) = t^3 - 12t^2 + 36t

r-ruslan [8.4K]

Yes you have the right idea. You find the derivative to get the velocity function and then determine when the velocity is zero. That turns out to be at t = 2 and t = 6. Both are correct. The final answer is correct.

The only flaw I see is that you wrote
x'(t) = 3y^3 - 24t + 36
on line 2 when it should be
x'(t) = 3t^2 - 24t + 36

Other than that it looks perfect.

5 0

3 years ago

What is 6 4/15 divided by 5

NikAS [45]

Answer:

1 19/75

Step-by-step explanation:

Turn 6 4/15 into an improper fraction= 94/15

Dividing a fraction is multiplying it by its reciprocal

94/15*1/5= 94/75

Last turn the improper fraction into a mixed number= 1 19/75

7 0