The inverse notation f-1 used in a pure mathematics problem is not always used when...
50.1K
Verified Solution
Link Copied!
Question
Calculus
The inverse notation f-1 used in a pure mathematics problem is not always used when finding inverses of applied problems. Rather, the inverse of a function such as C=C(q) will be q=qC). The following problem illustrates this idea. Under certain conditions, e a rock falls from a height of 50 meters, the height H (in meters) after t seconds is approximated by the following equationH(t)=50-4.9t(a) in general, quadratic functions are not one-to-one. However, the function H(t) is one-to-one. Why?Choose the correct answer belowA. t represents time, so it must be greater than or equal to 0. For t?0, H(t) is one-to-oneB The t2 term is not the first term, so H(t) does not behave like a quadratic functionC The parabola opens to the right, so it passes the horizontal line test. Thus, H(t) is one-to-oneD The coefficient of t2 is negative, so the function is always decreasing. A decreasing function is always one-to-one(b) Find the inverse of H and verify your result(Type an exact answer)(c) How long will it take a rock to fall 30 moters?It will take a rock approximately seconds to fall 30 meters(Round to the nearest hundredth as needed)
Answer & Explanation
Solved by verified expert
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
