Please see the attached green multiple choice poll questions and answer the green multiple choice questions please! 9:13 PM Tue Oct 1812iological Example 1: Skin CancerThe probability of developing a tumour given solar exposure is given by the following 'logistic' curve:Probability of a Tumor1.00.80.60.40.2OO OO0 000 BO BO COO0.00 OOO OOO ∞∞ 00.00.2888ܘ ܘܘ ܗܘ ܂ܘ ܘ ܣ܂ ܘ0.4Duration of Solar Exposure (normalized)0.6files.canvas.sfu.ca0.8O O-TumorNo Tumor1.0P(x)=−2+x+3x²x 21+e-2+x+3x²eB. At what rate the probability of de-veloping cancer increase with solar ex-posurePoll 2.1: First, we use the:A. power ruleB. quotient ruleC. chain RulePoll 2.2: Next we use:A. power ruleB. quotient ruleC. chain Rule74%12/18 Age at First TumorYou are a dermatologist studying the relationship between sun exposure and skin cancer. You survey all your patientswith skin cancer about their sun exposure over the past 5 years. You observe the following relationship between solarexposure (measured in amount of time in the sun normalized from 0: no time to 1: full-time exposure) and theirage when they developed cancer.7060504030201000.00.20.4Duration of Solar Exposure (normalized)A. Take the derivativedf (x)dxO0.6%%%0.800 01.0f(x) = 70 – 15x – 20x²You want to tell your patients howmuch increasing solar exposure will in-crease their risk of skin cancer.Poll 1: () will bedfdxa polynomial of degree:A. 0B. 1C. 2Poll 2: We need to use the:A. Power ruleB. Chain ruleC. product rule

Answered: B. At what rate the probability of de-…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Please see the attached green multiple choice poll questions and answer the green multiple choice questions please!

9:13 PM Tue Oct 18
12iological Example 1: Skin Cancer
The probability of developing a tumour given solar exposure is given by the following 'logistic' curve:
Probability of a Tumor
1.0
0.8
0.6
0.4
0.2
O
O OO
0 000 BO BO COO
0.00 OOO OOO ∞∞ 0
0.0
0.2
888
ܘ ܘܘ ܗܘ ܂ܘ ܘ ܣ܂ ܘ
0.4
Duration of Solar Exposure (normalized)
0.6
files.canvas.sfu.ca
0.8
O O
-Tumor
No Tumor
1.0
P(x)
=
−2+x+3x²
x 2
1+e-2+x+3x²
e
B. At what rate the probability of de-
veloping cancer increase with solar ex-
posure
Poll 2.1: First, we use the:
A. power rule
B. quotient rule
C. chain Rule
Poll 2.2: Next we use:
A. power rule
B. quotient rule
C. chain Rule
74%
12/18

Age at First Tumor
You are a dermatologist studying the relationship between sun exposure and skin cancer. You survey all your patients
with skin cancer about their sun exposure over the past 5 years. You observe the following relationship between solar
exposure (measured in amount of time in the sun normalized from 0: no time to 1: full-time exposure) and their
age when they developed cancer.
70
60
50
40
30
20
10
0
0.0
0.2
0.4
Duration of Solar Exposure (normalized)
A. Take the derivative
df (x)
dx
O
0.6
%%%
0.8
00 0
1.0
f(x) = 70 – 15x – 20x²
You want to tell your patients how
much increasing solar exposure will in-
crease their risk of skin cancer.
Poll 1: () will be
df
dx
a polynomial of degree:
A. 0
B. 1
C. 2
Poll 2: We need to use the:
A. Power rule
B. Chain rule
C. product rule

Expert Solution

Step 1

“Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question”.

The function $f (x)$ is a rule that associates or fixes a number to the particular point x. If $y = f (x)$ , then the independent variable x is called the input of the function, and the dependent variable y is called the output of the function.

In this problem, the probability of developing the tumour is a function of x, where x is the duration of the solar exposure. We have to find the rate of probability of developing cancer with respect to x.