Login
Premium
Home Question Bank Math Calculus Archive 2024 December 12

Calculus Questions from Dec 12,2024

Browse the Calculus Q&A Archive for Dec 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

error msg
The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50 th product is \( \$ 6.20 \), it cost \( \$ 6.20 \) to increase production from 49 to 50 units of output. Suppose the marginal cost \( C \) (in dollars) to produce \( x \) thousand mp3 players is given by the function \( C(x)=x^{2}-140 x+8800 \). A. How many players should be produced to minimize the marginal cost? B. What is the minimum marginal cost? A. To minimize the marginal cost, \( \square \) thousand mp3 players should be produced. B. The minimum marginal cost is \( \$ \square \). Find the difference quotient of \( f \); that is, find \( \frac{f(x+h)-f(x)}{h}, h \neq 0 \), for the following function. Be sure to simplify. \( f(x)=3 x^{2}-7 x+8 \) \( \frac{f(x+h)-f(x)}{h}=\square \) \( \int _{}^{} d m \) If \( f(x)=\frac{7}{x+5} \) and \( g(x)=\frac{x+73}{x^{2}-25} \), determine \( (f+g)(x) \) \( (f+g)(x)=\frac{\pi+32}{x^{2}-25} \) \( (f+g)(x)=\frac{x+32}{x+5} \) \( (f+g)(x)=\frac{8}{x^{2}-25} \) \( (f+g)(x)=\frac{8}{x-5} \) The function \( P(x)=\frac{120}{1+372 e^{-0.133 x}} \) models the percentage, \( P(x) \), of Americans who are \( x \) years old and have some degree of heart disease. What is the percentage, to the nearest tenth, of 39 -year olds with some degree of heart disease? 5. El resultado de: A) \( 5 / 3 \operatorname{sen} 3 x+C \) B) \( -3 / 5 \operatorname{sen} 3 x+C \) C) \( 1 / 3 \operatorname{sen} 3 x+C \) Suppose that the functions \( u \) and \( w \) are defined as follows. \( \begin{array}{l}u(x)=-5 x+1 \\ w(x)=-x+5\end{array} \) Find the following. \( \begin{array}{l}(w \circ u)(1)=\square \\ (u \circ w)(1)=\square\end{array} \) (c) \( f(x)=5 x(2 x-5)^{2} \) Ralls to the left and rises to the right Rises to the left and falls to the right Falls to the left and falls to the right At the beginning of an experiment, a scientist has 284 grams of radioactive goo. After 90 minutes, her sample has decayed to 4.4375 grams. What is the half-life of the goo in minutes? Find a formula for \( G(t) \), the amount of goo remaining at time \( t . G(t)=\square \) How many grams of goo will remain after 32 minutes? (b) \( f(x)=3 x^{6}-3 x^{4}-9 x^{2}-5 \) Falls to the left and rises to the right Rises to the left and rises to the right falls to the right Falls to the left and falls to the right
Prev 1 2 3 4 5 6
...
44 Next
1 2 3 4 5 6
...
44
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