Start your trial now! First week only $4.99!*arrow_forward*

Question

Water is being added to a pool at a rate of r(t) = 20-t L/min. How much water is added to the pool between t=4 hours and t=5 hours?

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Problem 8 Evaluate the indefinite integral. tan^2(x)dx=_________________+C

A: To determine the value of the indefinite integral.

Q: The position function of a particle is given by s(t)=t^3−4t^2−8t, t≥0 where s is measured in meters ...

A: To find the velocity function from the position function, we have to differentiate position function...

Q: Question in image.

A: We write 105 as 60+45 Then we will use sin(A+B)=sinA*cosB + cosAsinB formula

Q: evaluate the limit lim x→1+ (ln(x)) / ( ln(x − 1))

A: Given:

Q: Find a power series representation for the function. f(x) arctan Σ f(x) = n = 0 Determine the radius...

A: with the help of other function we can easily find the power series of arctan(x).

Q: 12. Use a calculator to find values of y in degrees. a. cos (.5) b. sec (-2.46) c. tan (-45.543) COS...

A: Given, Part (a):

Q: I have know idea what answer they want. all I know is that 1/26 is the final asnwer.

A: To find the limit

Q: A ball is shot directly upwards from the ground with an initial velocity of k feet per second. The h...

A: Click to see the answer

Q: Use the figure to write the expression in algebraic form given y = arccos(x), where 0 < y < T/2. sec...

A: Click to see the answer

Q: find the general solution of the given differential equation. 4.y″ − 2y′ − 3y = −3te−t

A: Click to see the answer

Q: Find the vertex, focus, and directrix for the following functions y^2-14y=12x-7^2 x^2+8x=4y-16

A: Since you have asked multiple questions in a single request, we will be answering only the first que...

Q: Find a polar equation for the curve represented by the given Cartesian equation.

A: From cartesian to polar, please make the following substitution: x = rcosθ; y = rsinθ

Q: 4/16/2020 11. Find the critical points, domain endpoints, and local extreme values for the function....

A: Click to see the answer

Q: Eliminate the parameter to find a Cartesian equation of the curve.

A: Click to see the answer

Q: I could use some help with this question.

A: dy/dt = ky Hence, dy/y = k.dt Integrate both sides, ln(y) = kt + C

Q: (a) You are given the point (1, T/2) in polar coordinates. (i) Find another pair of polar coordinate...

A: Part(a)

Q: Use the Binomial Theorem to write the expansion of the expression. (2x – 5y)5

A: Click to see the answer

Q: AutoSave ff Document3 - Word Tran Manh Hung TM File Home Insert Design Layout References Mailings Re...

A: Apply ratio test and check weather series is convergent or divergent.

Q: At a museum you can see the four cable lines that are used to pull cable cars up and down a hill. Ea...

A: Given: Speed of the cable = 11.45 miles per hour Diameter of the wheel = 6.5 feet

Q: Find the point on the plane x+5y+2z=14 closest to the point (1,1,1).

A: Click to see the answer

Q: #3 Suppose the functional response of how a predator forages a prey is given by the 0.5VR equation f...

A: Given

Q: Evaluate the definite integral. Use a graphing utility to verify your result. '2 L'a-oviet Need Help...

A: Click to see the answer

Q: An object has a velocity v(t) + 60 ft/s. Use the interval [2, 16] with n = 7 and equal subintervals ...

A: Click to see the answer

Q: BEE ミミ 6. Solve inequalities. 6. Divide the x-axis into intervals defined by boundary points and det...

A: Click to see the answer

Q: AutoSave ff Document3 - Word Tran Manh Hung TM File Home Insert Design Layout References Mailings Re...

A: Given series is We will use limit comparison test to check the convergence and divergence of given...

Q: Consider the equation y(4) − y = 0. a. Use Abel's formula (Problem 15(d) of Section 4.1) to find the...

A: Click to see the answer

Q: Find the volume of the solid above the cone z2= 3(x2 + y2 ), z ≥ 0 and below the sphere x2+ y2+ z2 =...

A: We convert the units in spherical coordinate. The cone is given as, The sphere is given as, The l...

Q: If f(1) = 11, f' is continuous, and f(3) = f '(x) dx = 18, what is the value of f(3)?

A: Given

Q: The time, t, in weeks, needed for the population of fireflies in a field to reach p individuals is g...

A: t(p)=45ln[10,000/(18,000-p)] We have to find the population, p when t = 5

Q: 4. A balloon is rising vertically above a level, straight road at a constant rate of 3 ft/sec. Just ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 4x, y = 0

A: We first find where the two equations meet. We plug y=0 in the first equation and find x

Q: use Abel's formulafind the Wronskian of a fundamental set of solutions of the given differential equ...

A: Click to see the answer

Q: find the solution of the given initial value problem, and plot its graph. How does the solution beha...

A: Click to see the answer

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. rtan(x) 5t...

A: Click to see the answer

Q: An object is traveling around a circle with a radius of 12 feet. If in 20 seconds a central angle of...

A: Click to see the answer

Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

A: Click to see the answer

Q: Problem 18 Evaluate the indefinite integral. ∫((14sqrt(x^2-16)/x)dx=__________________ +C

A: Click to see the answer

Q: May I have some help with these questions?

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st ques...

Q: 3. (4 pts) Find the exact value of each definite integral. 4x5 dx (b) dt

A: Click to see the answer

Q: find the general solution of the given differential equation. 10.y′′+y′+4y=2sinhtHint:sinht=(et−e−t)...

A: Click to see the answer

Q: 2. Find the center and radius of the sphere *+y ++4x-2y+8-4 0

A: Click to see the answer

Q: Problem 11 Evaluate the indefinite integral. ∫sec^3(x)dx=____________ +C

A: Given integral can be written as Integrating by parts, we get

Q: Find the area of the region enclosed by one loop of the curve. r=3cos(θ)

A: Kindly follow the attached image.

Q: 11) Find the derivative by implicit differentiation a) xy = x+ y %3D b) Find the derivative by impli...

A: a) Consider the function and solve for dy/dx.

Q: f(x)=4x−7x^2+x−6 what is the y-intercept?

A: To determine the y-intercept.

Q: a 25 ft ladder is leaning against a house when its base starts to slide away. By the time the base ...

A: Given length of the ladder x=7 and and base is moving at the rate of 72 ft/sec i.e.

Q: Evaluate the expression without using a calculator. loga

A: Click to see the answer

Q: Bertha Candy Company sells 8-ounce bags of a new brand: “Chunky Chocolate". For a year she varies th...

A: Click to see the answer

Q: supposed that a drop of mist is a perfect sphere and that, through condensation, the drop picks up m...

A: Click to see the answer

Q: Which of the following is equal to f(x)dx where S(x) =- sin(x) if 0<x< a/2 l cos(x) if 1/2<x<a } -2

A: Click to see the answer