Question

The volume of a cone is 100 in3 . Find a function that models the height h of the cone in terms of its radius r.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Other

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: A big room is constructed so that the ceiling is a dome that is semi-elliptical in shape. If a perso...

A: Click to see the answer

Q: Which of the following functions are solutions to the differential equation dy/dx=y/3?   A)y= sin(3x...

A: Click to see the answer

Q: x – 6 f(x) = %3| (x – 1)(x +1) Use interval notation to indicate where f(x) is continuous. NOTE: Whe...

A: Consider the function; fx=x-6x-1x+1 For continuity to calculate the function will discontinuous. Or ...

Q: 10. Find the volume of the following spheres (to the nearest whole cubic unit). a. A sphere with r 6...

A: Click to see the answer

Q: QUESTION 11 ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER, TO 3 DECIMAL PLACES. Find the magnitude ...

A: The given two vectors are, a=-1,4,8b=12,1,2 The magnitude of projection of vector b onto vector a is...

Q: A spherical balloon of radiusrcm, r>0, deflates at a constant rate of 60 cm's. Calculate the rate of...

A: It is given that, dVdt=60 cm3s and r=3. The volume of a sphere is given by V=43πr3.  

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A: Click to see the answer

Q: Give an example of a line that is perpendicular to the line y = f(x).

A: we have to give an example of a line that is perpendicular to the line y = f(x).

Q: Solve the following differential equation (y-4x-1) dx-dy=0 Select one: O a Inlx+21+Inlx-2|=x+c O b. ...

A: Click to see the answer

Q: I4 m= 5; triplet. thes find the py thago rean

A: It is given that, m=5 The Pythagorean triplet is to be determined. Consider that the general form of...

Q: Find the derivative

A: F(x)=∫x8tant3dt. We have to find the derivative of F(x) i.e. F'(x).

Q: An object moves along a line with velocity in m/s given by v(t) = 8 cos Its initial position 6 is s(...

A: Given that an object moves along a line with velocity in m/s is, vt=8cosπt6 To calculate the formula...

Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), and f(x)/g(x). f(x) = x2 + 15x + 56 g(x) : = x + 7 (a) f...

A: Click to see the answer

Q: Solve the differential equation and initial condition and verify that your answer satisfies both the...

A: Click to see the answer

Q: In x 5. Evaluate the indefinite integral.

A: Click to see the answer

Q: on what intervals is f increasing?

A: Answer and explanation is given below

Q: What amount of money will accumulate to $880.57 in 280 days at 2.5%?

A: The amount of interest of $880.57, at a simple interest interest rate of 2.5% annually, I=Prt100=880...

Q: TP Recall our fish growth differential equation, Ae-kt. Let's let A = 6 and k = 2. On the dt back of...

A: Click to see the answer

Q: The following graph shows the annual number of housing starts in a country during 2000–2008 together...

A: Click to see the answer

Q: find the net signed area between f(x) and the x-axis. 97.  4 ∫ (x−3)^(3) dx 2

A: Given,           ∫24x-33dx

Q: A hotel wants to create a patio that is straight on three sides, but has a decorative curve on the f...

A: Since, We can see that the no. of subdivisions(or rectangles) which can be made in the patio, coveri...

Q: Solve the follOwing with GFauss-Jordan elimination: x+2y+z=1 -5y+z= -3 2x+2y+3z 2 1

A: Click to see the answer

Q: valuate the indefinite integral. +V2x dx 3x

A: Click to see the answer

Q: Complete the left half of the graph of g if g is an odd function.

A: g is an odd function.

Q: a. Write a formula expressing 0 in terms of s and r. Preview b. Write a formula expressing s in term...

A: a. Write the formula for θ in terms of s and r.

Q: QUESTION 30 ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER. Find the value of a. so that the system ...

A: Click to see the answer

Q: Give the parametric equations of the line through point (2. 1. 0) and perpendicular to BOTH/+j and +...

A: Click to see the answer

Q: Use the product, quotient, and chain rules to find the following derivatives (do not expand polynomi...

A: (a) The given function is fx=6x2-3x+1x2+xx3+5x2+7. Product Rule: ddxfxgx=fxddxgx+gxddxfx. Obtain the...

Q: '3 | (x2 - 7) dx 1 4x +

A: Given: ∫13(x2-4x+7)dx To find: Evaluate the integral.  

Q: (x+2y S 20 1. Graph the solution set of this system of inequalities :3x10y s 80 x 0,y 20 2. Solve th...

A: Given: x+2y≤203x+10y≤80x≥0, y≥0 To graph: The solution set of the given inequalities.

Q: Find the area between the curves y = 3 - x and y = x2 - 9: Exact value, show all work for full credi...

A: Given: y=3-xy=x2-9 To Find: Area between the given curves. Concept: i. If f(x) and g(x) are two cont...

Q: Find the determinant for D= (54 5 4) %3D 23

A: Click to see the answer

Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at + 2...

A: Click to see the answer

Q: QUESTION 19 ONLY FILL IN THE NUMERICAL VALUE OF THE ANSWER, TO 1 DECIMAL PLACE. Find the angle, in d...

A: Given: The equations of the plane are  x + 2y - z = 2 and 2x - 2y + z = 1   To determine: The value ...

Q: 12.1.63 Find the equation of the curve that passes through (4,5) if its slope is given by the follow...

A: Click to see the answer

Q: Find the functions and their domains. (Enter the domains in interval notation.) f(x) = 9x + 2, g(x) ...

A: Click to see the answer

Q: Find the size of the matrix [5  -2  5  -5  5]

A: Consider the following matrix: A=5-25-55 Matrix A has one row and five columns.

Q: (3) = - 7'(-5) = s (7) = } %3D A I only B Il only C IIl only

A: It is given that the function fx and gx are inverse functions that are differentiable for all value ...

Q: When 3 planes are parallel towards each other, the solution of this system of equations will be OA I...

A: When three planes are parallel towards each other , the solution of this system of equations will be

Q: dy (2x+5)* Solve the differential equation. dx .2 a) General solution

A: Click to see the answer

Q: The following vector is a unit vector: na-(- E E V6' 6 1 O True O False

A: Click to see the answer

Q: You are given the graph of a function f. Determine the relative maxima and relative minima, if any. ...

A: we have to find the relative maxima and minima of the given graph

Q: Calculus Question

A: Click to see the answer

Q: Estimate the area under the curve below as show. Use n = 4 rectangles and right endpoints. Draw each...

A: Given  

Q: For the following exercises, use the definition of a derivative to find f′(x). 54.  f(x)=6 55....

A: Given: a) f(x)=6 b) f(x)=2-3x  

Q: 5 7 Consider the function y = V5x² – 5x + 9 on the interval 2' 2 a) Find the slope of the secant lin...

A: a) The function is given as, yx=5x2-5x+9 Solve the function for x1=-52, y1=5-522-5-52+9=1254+252+9=1...

Q: QUESTION 14(a), (b) and (c) PLEASE

A: given:a) y=3xx-2b) y=x-12xx+3c)  y=1x2-4

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the grap...

A: we have to graph the functions f and g. then we have to describe how the graph of g is related to th...

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = CA...

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: Find the domain of the function g(x) = 1/∣x2 − 4∣

A: Consider the function: gx=1x2-4