Questions tagged 'Calculus'
92 questions
Find the differential dy. y = e^(x/2)?
I need assistance with finding the differential ( dy ) for the function ( y = e^{(x/2)} ). Additionally, I would like to evaluate ( dy ) at ( x = 0 ) and ( dx = 0.01 ). Any help with this would be gre...
find the length of the curve y=sqrt(x-x^2)+arcsin(sqrt(x))?
How can I find the length of the curve defined by the equation ( y = \sqrt{x - x^2} + \arcsin(\sqrt{x}) )? What methods or formulas should I use to compute this length accurately?
Evaluate the integral by reversing the order of integration?
Evaluate the integral by reversing the order of integration: [ \int_{0}^{3} \int_{4}^{12} 8e^{x^2} \, dx \, dy ] Thank you.
Calculate the initial rate for the formation of c at 25 ∘c, if [a]=0.50m and [b]=0.075m.
What is the initial rate of formation for compound c at 25 °C, given the concentrations [a] = 0.50 M and [b] = 0.075 M?
Compute the gradient vector fields of the following functions:?
Compute the gradient vector fields for the following functions: ( f(x, y) = 3x^2 + 2y^2 ) ( f(x, y) = x^4y^2 ) ( f(x, y) = 3x + 2y ) ( f(x, y, z) = 3x + 2y + 4z ) ( f(x, y, z) = 3x^2 + 2y^2 +...
Calculate the gross profit for Jefferson Company based on the following: Sales $764,000 Selling expenses 42,500 Cost of merchandise
Calculate the gross profit for Jefferson Company using the following information: Sales: $764,000 Selling Expenses: $42,500 Cost of Merchandise Sold: $538,000 What is the gross profit? a. $7...
Oct 17, 2024
Sketch the region enclosed by the given curves.y = |3x|, y = x2 − 4 Find its area.?
"Sketch the region enclosed by the given curves: ( y = |3x| ) and ( y = x^2 - 4 ). Then, calculate the area of this region."
The derivative of f(x) = (x^4/3) – (x^5/5) attains its maximum value at x =?
Given the function ( f(x) = \frac{x^{4/3}}{1} - \frac{x^5}{5} ), at which value of ( x ) does the derivative attain its maximum value? Please show all of your work! The answer choices are: A. -1 B. 0...
Can someone please please tell me how to calculate the instantaneous rate of a reaction from a graph.?
Can someone please explain how to calculate the instantaneous rate of a reaction from a graph? In the problem, we are given the following reaction: H2(g) + Br2(g) ---> 2HBr(g). The graph below sho...
Suppose that the position vector for a particle is given as a function of time by (t) = x(t) + y(t), with x(t)?
Suppose the position vector for a particle is given as a function of time by r(t) = x(t) + y(t), where x(t) = at + b and y(t) = ct² + d. The constants are defined as follows: a = 1.70 m/s, b = 1.20 m,...