Math

CalculusQ&A LibraryWater is filling a cone-shaped cup which has a total height of 6 cm and a radius of 2 cm. If the water is filling the cup at a rate of 3 cm^3 / sec , how fast is the surface of the water rising when the depth is 4 cm? Recall that the volume of a cone is given by V= (1/3)*pi*r^2 *h, as one can show in Calc II. Rate water is rising = ________Start your trial now! First week only $4.99!*arrow_forward*

Question

Water is filling a cone-shaped cup which has a total height of 6 cm and a radius of 2 cm. If the water is filling the cup at a rate of 3 cm^3 / sec , how fast is the surface of the water rising when the depth is 4 cm? Recall that the volume of a cone is given by V= (1/3)*pi*r^2 *h, as one can show in Calc II.

Rate water is rising = ________

1 Rating

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: Calculus Question

A: Click to see the answer

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x2 + 3x – 10 lim X → 2 x2 -...

A: Click to see the answer

Q: Consider the finite region between y=-x+6x and y=5. Find the volume if the region is rotated about t...

A:

Q: (a) What quantities are given in the problem?(b) What is the unknown?(c) Draw a picture of the situa...

A: Click to see the answer

Q: Find the linearization L(x)of the function at a .

A: Click to see the answer

Q: Determine whether the statement is true or false. If the statement is false, make the necessary chan...

A: Click to see the answer

Q: I got a volume equal to 123.5 pi but that was incorrect

A: We first sketch the region using a graphing calculator The shaded region is rotating around the gr...

Q: x5/7 is (are) - 4 The critical number(s) of f(x) :Select one -10,0 .a -10, 4 .b 4.c 4,0.d

A: Click to see the answer

Q: Determine the limit at infinity. Please show work! :)

A: Click to see the answer

Q: Find the linearization L(x)of the function at a .

A: Click to see the answer

Q: Find the surface area of the object obtained by rotating y = sin(2x) , 0<x< about the x-axis.

A: Click to see the answer

Q: A cone expands with time. The height of the cone increases at a rate of 1 in/h and the radius increa...

A: Click to see the answer

Q: 5cos³ (x) Find the derivative of y + tan²(3x² – 4x) – csc(v2x – 1 )and express your sin(3–2x) answer...

A: Click to see the answer

Q: Find the extreme values

A: Click to see the answer

Q: For which value of n, does the lim -ny*+16n = 2 у-2 32-у5

A: Given

Q: Consider the function y = x(In x)². At which point the tangent line to the graph of this function is...

A: Click to see the answer

Q: Consider the function y = coth(x³ + 1). Which ?one is a critical number of this function :Select one...

A: Click to see the answer

Q: To apply the Mean Value Theorem for the function f on a, b one must have f(a) + f(b). Select one: a....

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please...

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. If 5...

A: Click to see the answer

Q: During COVID-19 Global lock down, there is short supply of cycles in the market in the month of Apr...

A: Click to see the answer

Q: A balloon is infiating at a constant rate of 12 cubic centimeters per second. When the volumerof the...

A: Click to see the answer

Q: The point P(0.5,10)P(0.5,10) lies on the curve y=5/xy=5/x . Let QQ be the point (x,5/x).(x,5/x).a.) ...

A: Given curve is y=5/x Let the points P and Q be (0.5,10) and (x,5/x) Then slope of secant line PQ is

Q: fix) -Ha Simplify the difference quotients- for the following function. Rationalize the numerator wh...

A: Given function is The difference quotient is simplified as follows.

Q: Partial Fraction Decomposition

A: Consider the given integral

Q: Evaluate the limit limx→2(1x−2−4x2−22)limx→2(1x−2−4x2−22) Enter I for ∞∞, -I for −∞−∞, and DNE if th...

A: Click to see the answer

Q: Find the limits. Write ∞ or -∞ where appropriate. lim(x/2 - 1/x)as x→ 0+

A: Click to see the answer

Q: Find A, B, and C

A: Click to see the answer

Q: Is the statement below true? Explain, and include a diagram as part of the explanation. If |AB| = |Y...

A: Click to see the answer

Q: the question is in the picture. please do it in a simple way with an explanation

A:

Q: I need help with this question

A: x |x| 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 -1 -1 -2 -2 -3 -3 -4 -4 -5 -5 -6 -...

Q: 8

A: We know that area of surface obtained by rotating y=f(x) from x=a to x=b about x-axis is

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a vel...

A: Click to see the answer

Q: Find the volume of the solid when the area contained by y=x and y=x3 is resolved around y=3/2.

A: We graph the curves using a graphing calculator

Q: di In the ODE: L- + Ri = E, the dependent variable is: dt

A: Given: Since

Q: The absolute minimum of f() = x² +3x – 1is

A: Click to see the answer

Q: e -e lim is z0 In(1+ 2x)

A: Given limit:

Q: Q1: Ms. Maryam Al Rawabi had a sum of money and she decided this money to distribute among Abdul, Ib...

A: Click to see the answer

Q: (a) If A is the area of a circle with radius and the circleexpands as time passes, find dA/dt in ter...

A: Click to see the answer

Q: Calculus Question

A: Click to see the answer

Q: Solve this.

A: Given,

Q: Given lim f(x)=L, Im fx)=L, and L, =L, 1. lim f(x)=L, II. lim f(x)=L, III. lim f(x) does not exist

A:

Q: The tangen Per pendicl eg

A: the line y + x = - 1 Or, y = - x - 1 slope of the line, m* = -1

Q: 1 The functions y= log, e and y are equal. In a Select one: a. False b. True

A: Click to see the answer

Q: If f is continuous on[-1,2], and f(0) is an absolute maximum, then f(0) is a relative maximum Select...

A: Consider the function f which is continuous on the interval [ -1, 2] and f (0) is an absolute maximu...

Q: I need help with this question

A: Click to see the answer

Q: Please answer the question in the image with details.

A: Click to see the answer

Q: Consider the function f(x)=(1/x) on the interval [3,7] . Find the average or mean slope of the funct...

A: Click to see the answer

Q: The general solution of the differential equation 2x(y + 1) dx — у dy is:

A: Given the differential equation: Now,

Q: is ty=sec cot x, then sec cot x+

A: Click to see the answer

Q: X = y 3. Find the length of the curve from Cl, I) to (2,25)

A: Click to see the answer