Login
Premium
Home Question Bank Math Pre Calculus Archive 2025 January 25

Pre-calculus Questions from Jan 25,2025

Browse the Pre-calculus Q&A Archive for Jan 25,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

error msg
Find the direction angles of the vector. (Round your answers to three decimal places.) \[ \mathbf{u}=-2 \mathbf{i}+7 \mathbf{j}+5 \mathbf{k} \] \( \alpha=\square \mathrm{rad} \) \( \beta=\square \mathrm{rad} \) \( \gamma=\square \mathrm{rad} \) Find \( \mathbf{u} \cdot \mathbf{v}, \mathbf{u} \cdot \mathbf{u},\|\mathbf{u}\|^{2},(\mathbf{u} \cdot \mathbf{v}) \mathbf{v} \), and \( \mathbf{u} \cdot(2 \mathbf{v}) \) \[ \mathbf{u}=\langle 7,11\rangle, \quad \mathbf{v}=\langle-2,3\rangle \] 9. \( f(x)=0.2(5)^{-x} \) Find the unit vector in the direction of \( \mathbf{v} \). \[ \mathbf{v}=-7.1 \mathbf{i}+3.5 \mathbf{j} \] \( \mathbf{u}= \) Find the unit vector in the direction of \( \mathbf{v} \). \[ \mathbf{v}=-7.1 \mathbf{i}+3.5 \mathbf{j} \] The pressure of a fluid flowing through a closed system, \( P \), after \( t \) seconds can be modeled by the function \( P(t)=100+40 \sin \left(\frac{9 \pi}{4} t\right) \). Answer parts (a) through (c) below. (a) In the interval \( [0,1] \), determine the times at which the pressure of the fluid is 100 mmHg . The solution set is \( \{\square \). (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) Explain how the graph of the function \( h(x) = -\sqrt{x} \) is affected by the transformation compared to the original \( f(x) = \sqrt{x} \). An airplane is asked to stay within a holding pattern near an airport. The function \( \mathrm{d}(\mathrm{x})=50 \sin (0.88 \mathrm{x})+140 \) represents the distance d , in miles, that the airplane is from the airport at time x , in minutes. Complete parts a through d below. (a) When the plane enters the holding pattern, \( \mathrm{x}=0 \), how far is it from the airport? It is 140 miles from the airport. (b) During the first 15 minutes after the plane enters the holding pattern, at what time x is the plane exactly 110 miles from the airport? The solution set is \( \left\{\begin{array}{l}\text { ? }\end{array}\right. \) (Round the final answer to two decimal places as needed. Round all intermediate values to three decimal places as needed. Use a comma to separate answers as needed.) An airplane is asked to stay within a holding pattern near an airport. The function \( \mathrm{d}(\mathrm{x})=50 \sin (0.88 \mathrm{x})+140 \) represents the distance d , in miles, that the airplane is from the airport at time x , in minutes. Complete parts a through d below. (a) When the plane enters the holding pattern, \( \mathrm{x}=0 \), how far is it from the airport? It is \( \square \) miles from the airport. The pressure of a fluid flowing through a closed system, \( P \), after \( t \) seconds can be modeled by the function \( P(t)=100+40 \sin \left(\frac{12 \pi}{5} t\right) \). Answer parts (a) through (c) below. (a) In the interval \( [0,1] \), determine the times at which the pressure of the fluid is 100 mmHg . The solution set is \( \{0,0.42,0.83\} \). (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (b) In the interval \( [0,1] \), determine the times at which the pressure of the fluid is 140 mmHg . The solution set is \( \{\square\} \). (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.)
Prev 1 2 3 4 5 6
...
9 Next
1 2 3 4 5 6
...
9
Prev Next
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy