Johnson Rose
09/12/2023 · Middle School
(vi) \( \int_{0}^{4} \tan ^{7}(x) \sec ^{3}(x) d x \) Let \( f(x)=x-2, g(x)=-x \), and \( h(x)=4+2 x-x^{2} \) then (i) Sketch the graphs of \( f, g \) and \( h \) on the same system of axes. (ii) Find the area of the region above the two functions \( f(x)=x-2 \) and \( g(x)=-x \) and below the third funciton \( h(x)=4+2 x-x^{2} \).
UpStudy ThothAI Solution
Tutor-Verified Answer
Quick Answer
For problem (vi), the approximate value of the integral is 4.5. For problem (i), sketch the graphs of \( f(x) = x - 2 \), \( g(x) = -x \), and \( h(x) = 4 + 2x - x^2 \) on the same axes. The line \( f(x) \) has a positive slope and y-intercept of -2, \( g(x) \) has a negative slope and y-intercept of 0, and \( h(x) \) is a downward opening parabola with vertex at (1, 5).
Step-by-step Solution
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit