6,938 Answered Questions for the topic mathematics
finding the mass of a wire
Let C be the line segment on the xy-plane from (−4, 3) to (1, −9).(a) Evaluate ∫C 2xy dy.(b) Use a line integral to find the mass of a wire in the shape of C if the density (mass per unit length)...
more
Show that G-> is conservative
Show that G->(x, y, z) =〈3y2 + 2/z , 6xy + 2z/√y , 4√y − 2x/z2, x, y, z > 0 is conservative(a) without using any potential function for G->;(b) by finding all potential functions for G->
Follows
•
1
Expert Answers
•1
![]()
Find the amount in a continuously compounded account for the following condition.Principal, $3000; Annual interest rate, 5.5%; time, 2 years
Find the amount in a continuously compounded account for the following condition.Principal, $3000; Annual interest rate, 5.5%; time, 2 years
Follows
•
1
Expert Answers
•1
![]()
Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root. 2−5i
Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root.2−5i
Follows
•
1
Expert Answers
•1
![]()
Complete the table, which shows the first and second differences in y-values for consecutive x-values for a polynomial function of degree 2.
Complete the table, which shows the first and second differences in y-values for consecutive x-values for a polynomial function of degree 2.
Follows
•
1
Expert Answers
•1
![]()
Find the factored form of the expression. Check your answer.
Find the factored form of the expression. Check your answer. 6x^2+486=0
Follows
•
1
Expert Answers
•2
![]()
![]()
A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.
A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.a. How long is the jumper in free...
more
Follows
•
1
Expert Answers
•1
![]()
Find the general solution of the following differential equations.
Find the general solution of the following differential equations.1. dy/dx= -x+1/2(y+3)2. dy/dx= y²(1+ ex )
Follows
•
1
Expert Answers
•1
![]()
Mathematics
05/05/22
The sum of a number times 6 and 22 is at least −26.
Optimization Help and explanation
A Norman window is shaped like a rectangle with a semicircle on top of it. A carpenter has 10m of wood trim and wishes to cover the sides of the rectangle and the upper part of the semicircle....
more
Follows
•
1
Expert Answers
•1
![]()
Find the time it takes for the cannonball to strike the ground.
If a certain cannon is fired from a height of 7.9 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by...
more
Follows
•
1
Expert Answers
•2
![]()
What's the smallest amount, in dollars, that you can charge and make a profit of at least $118?
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that n your class charges for each box of seeds. The equation p=−0.5x2+25x−107 models the...
more
Follows
•
1
Expert Answers
•1
![]()
A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.
A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.a. How long is the jumper in...
more
Follows
•
1
Expert Answers
•1
![]()
A model for a company's revenue from selling a software package is R(p)=−2.5p2+650p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
A model for a company's revenue from selling a software package is R(p)=−2.5p2+650p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
Follows
•
1
Expert Answers
•1
![]()
Mathematics
05/05/22
Can you help me solve this ?
Alex and Juana went on a 55-mile canoe trip with their class. On the first day they traveled 22 miles. What percent of the total distance did they canoe?
Mathematics
05/05/22
A point in the figure is chosen at random. Find the probability that the point lies in the shaded region.
Solving a percent mixture problem using a system of linear equations
A mixture of two powdered substances contains 20% of substance A by mass and 10% of substance B. How much of each must be added to 50 kg of this mixture in order to produde a new mixture containing...
more
05/05/22
Determine whether each of the following differential equation are separable or not, if separable, rewrite the equation in the form g(y)dy= f(x)dx.
Determine whether each of the following differential equation are separable or not, if separable, rewrite the equation in the form g(y)dy= f(x)dx.1. dy/dx= y+32. dy/dx= x²y-xy+3y
Follows
•
1
Expert Answers
•1
![]()
Help explaining equation simplifying
here's what I'm working with:pi ([(24-2s)/pi]^2) + s^2 = [(4/pi) + 1]* s^2 - 96s/pi + 576/pii have no idea where the (4/pi + 1) came from can someone walk me through the simplifying?
Follows
•
1
Expert Answers
•1
![]()
Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.
Speedometer readings for a motorcycle at 12-seconds intervals are given in the table.t (sec) 0 12 24 36 48 60v (ft/sec) 22 26 29 23 23 30(a) Estimate the distance, in feet, traveled by the...
more
Follows
•
1
Expert Answers
•1
![]()
Solve the problem using exponential growth and decay of antiderivative.
Direction: Read and analyze the problem carefully. Solve the problem using exponential growth and decay of antiderivative. Show your solution and answer the following question below.1. Suppose that...
more
Follows
•
2
Expert Answers
•1
![]()
How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?
A laboratory technician needs to make a 42-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to...
more
Follows
•
1
Expert Answers
•2
![]()
![]()
05/04/22
Calculate the area enclosed by this arch.
An arch is to be constructed 16 meters high and 4 meters across at the base. The shape of the arch is given by the function f(x)=16-x^4Calculate the area enclosed by this arch.
Follows
•
1
Expert Answers
•2
![]()
05/04/22
If If we are limited to 950 ft of fencing, what dimensions of fence should be used to maximize the area?
A fence is to be constructed in a rectangular shape partitioned into three equal parts. If we are limited to 950 ft of fencing, what dimensions of fence should be used to maximize the area?
Follows
•
2
Expert Answers
•2
![]()
![]()
05/04/22
Find the revenue function, and calculate the optimal price that would maximize the profit.
The marketing department provides the following price-demand equation: p=120-0.05xThe cost of producing x items is C(X)=500+5xFind the revenue function, and calculate the optimal price that would...
more
Follows
•
1
Expert Answers
•1
![]()
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
