Belhaven University Certified Clinical Nurse Specialist Questions

User Generated

pzppyva1

Mathematics

Description

Unformatted Attachment Preview

34 ܕ ܕ ܕ ܃ ܃ ܕ * 11 A culture of bacteria obeys the law 험 UNINhibited growth. If 140,000 are present initially and their are 609 than are 609,000 atten How long will it take to reach ?,000, che ? 6 hirsi (1.8 IF " log into a CONST? ܕܕ܀ The half-life of silicon 32 es 710 yrs. anet are present nowy how much will be present in 600 yrs? 19 A thermometer reading 79°F is brought a cold storage room with a temperatures of 380. It the thermometer meads 70. º! Wag 6 mins, How long will ite: tak to read 58°F Assume Newton's Law of Cooling Plt) 1540* represents the poes 1+ 37. 5e 0.3257 bacteria wa culture tute afte- a) The initial NUMBER: Find deset kirs. b) The number after 4 hrs. c) The carrying capacity of the to be. 15 20 . . ;. 4 od spise for a root 5 **** w D LIST the potential ration MATIBAJAX anys (906 Asor rosir & f(x) = 6x4 + 2x - 4x²+2 3. Q2 니 ♡ given that I is a zero of f(x)• X8+?*?.5*-6 find the remaining roots. @ Form a polynomial of degree 3 with zeres Thorny and 3'to. In o the polysowiak P7x) = N*T*?-16x +18 has *** f(x) = 4 11 g(x) = 2 find f(g(=)) It Find the layerse of (4x) = (x-3)? write as the Sum; and fores, difference of logar, the 17-81 1 logs 6 te the expression single log. [9-io] 9 6 logik q loghi llogat logas) + bloga u Use the change of base formula to evaluate Eif-r2] 12 loga 25 wat Find the effective rate [13-14] ☺ 370" compounded meathly 12% compound continuously 16 Find the present value of $56.00 to be compone da at 74. for 9 yrsta la What rate of interest compounded quarterly is required to double an investment in 6 yrs"? com logo şi as w ماه 0 ใน 11 | logy 18 ! M Er ༢ ༣ 91
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

Hi there, your answers are in the attachment. If you need any edits, please feel free to ask.

2.
Since we are given a root of the polynomial, we can use long division to find a quotient
polynomial of a lower order, and in this case, since the polynomial is of the third order, we can use
the quadratic formula on the result to find the other two roots.

Applying the quadratic formula on the quotient:
𝑥=

−1 ± √12 − 4 ∙ 1 ∙ 6
2∙1
𝑥=

−1 ± √25
2

𝑥1 = 2 𝑥2 = −3
The other roots are 2 and -3.

3.
Since 3 + 𝑖 is a root, its conjugate 3 − 𝑖 must also be a root, so the polynomial is given by
the product:
𝑃(𝑥) = (𝑥 − 3 − 𝑖)(𝑥 − 3 + 𝑖)(𝑥 − 1)
𝑃(𝑥) = (𝑥 2 − 6𝑥 + 10)(𝑥 − 1)
𝑃(𝑥) = 𝑥 3 − 7𝑥 2 + 16𝑥 − 10

4.
Since 1 + 𝑖 is a root of the polynomial, its conjugate 1 − 𝑖 must also be a root, so we can
divide the polynomial by the following one, and the root of the quotient is the final root of this
polynomial.
𝐷(𝑥) = (𝑥 − 1 − 𝑖)(𝑥 − 1 + 𝑖)
𝐷(𝑥) = 𝑥 2 − 2𝑥 + 2

One of the roots is 1 − 𝑖 and the other ro...


Anonymous
Just the thing I needed, saved me a lot of time.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags