Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 21 feet high? Recall that the volume of a right circular cone with height h and radius of the base r is given by   V=1/3 πr^2h  ?=ft/min

Q: Consider the following graph. y -5 1 i 2 3 4 5 6 (a) Find the interval(s) on which f is increasing.…

A: To answer the given question using the given graph.

Q: Exercise 2: Determine the measures of the numbered angles in the following figure 6 5 92° 1 b.

A:

Q: 2 -/2x+1 Let F(x,y) = C be the antiderivative of f(x) = . What is the value of C if x=16 and y=19?…

A: Here is the solution

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: We have to find the area by midpoint and for triangles

Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

A:

Q: x2 dx Using trigonometric substitution, the integral is equivalent to 2 Vx²–4 z/2 A 4 sec20 tan0 d0…

A:

Q: Find the limit. Use l'Hospital's rule where appropriate. If there is a more elementary method,…

A:

Q: Sxsin°(2x)dx, - Svdu,u The integral expression can be evaluated using integration by parts of the…

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: 6x? + 23 – 9 is F (æ) = a ln (Jæ + 3|) + b ln (Jæ|) + d ln (la- 1)+ C then which of the 3 + 2.x2 –…

A:

Q: Given that lim f(x) = 0 lim g(x) = 0 Xa lim h(x) = 1 xa lim p(x) = 0 lim g(x) = 0, evaluate if the…

A:

Q: What's the difference between finding the difference of the tangent line, and finding the tangent…

A: What's the difference between finding the difference of the tangent line, and finding the tangent…

Q: Let x = 1.14 and y = 1.58. Determine the value of C when you evaluate cot *(2x)dx.(use radian form…

A:

Q: y(x) = tan(v/3x² + In(5x*) %3D

A:

Q: (4x2+ 5x4) dx (x+1) (x²– 6x + 34)? By method of partial fraction, the integral - can be evaluated…

A: Partial fraction decomposition

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A:

Q: Is y=e3x−2x−3 a solution to the initial value problem shown below? y′−3y=6x+7 y(0)=−2   Yes or no?

A: Yes

Q: how would you find the x-values that the function f(x) = 2e^x - 6x have horizontal tangent lines? I…

A: The given function fx=2ex-6x

Q: determine a power series Given the power series representation 1+ 8. representation for In (1+ along…

A:

Q: 1196) The line, x-ky^2 shown in Fig 1185, is rotated about the x axis to form Find the volume…

A: Given that the line x=ky2 is rotated about the x-axis to form volume.

Q: Contimuity 4. Let f(z, y) be a function defined on a disk D not containing the origin which is given…

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos“(x) for x = 0.125 and y =…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 17xev/x, (19, 0) Vg(19, 0) =

A:

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: A driver's average speed is 50 miles per hour on the round trip between two cities 100 miles apart.…

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A:

Q: What is the velocity at time t for a car that begins accelerating at a rate of 4 feet per second…

A: Given query is to find the velocity.

Q: Let x = 1.84 and y = 3.72. Determine the value of C when you evaluate cot *(2x)dx, (use radian form…

A:

Q: 14.What is the equation of the curve that passes through (1,3) , if its slope is given by 3x? at any…

A:

Q: Find the area of the lateral surface of G z=x^2+3y^2 and below by the plane z = 0, and laterally by…

A:

Q: Σ n+1 (n+2)! n=0

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: 5 Given sec A = i and that angle A is in Quadrant I, find the exact value of csc A in simplest…

A: Given query is to find the value of cscA.

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 11 tan(x). %3D…

A:

Q: 21.Which of the following is a particular solution to the differential equation when x = e and y =…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x2 – x - In(x) - X (a)…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows: Let f(x)=1/x and…

A: Given problem:- Use linear approximation, i.e. the tangent line, to approximate 1/1.001as follows:…

Q: y" + y = cos x x - sin x

A:

Q: Find He valve of fe2) when fg functions such that are dilferentrable %3D g(x) >o 1 for all x, while…

A:

Q: Solve for x by converting the logarithmic equation log1/7 (x) = 2 to exponential form.

A:

Q: Let x = 1.54 and y = 2.72. Determine the value of C when you evaluate cot *(2x)dx.(use radian form…

A: Given

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,800 - dollars, and…

A: The given functions are: C(x)=3020x+2x2R(x)=5800x-1xx3

Q: mzer Mathematics Q1 Solve the following differential equations dy +y = y°x² In x dx dy (sinx – siny)…

A:

Q: Find the equation of the tangent plane at the point x = xo = 4, y = yo = 1 of the surface %3D z =…

A: Option C is true

Q: Rewrite each function, differentiate, and then simplify (no negative exponents!) Function Rewrite…

A:

Q: 00 1 Given the power series representation determine a power series representation for 1+ 7 n=0 In…

A:

Q: 1 x* – 1 4 1 a) -arctan - 2 1. - In 3 + 3 4 1 8 b)arctan 3 - in 2 + 1 1 -In 2+ 4 8 1 c) - arctan 3…

A: After calculating the definite integration use the concert of inverse trigonometric ratios to…

Q: 9-4x2 In solving for the antiderivative of f(x) = using trigonometric substitution, is transformed…

A:

Q: Is y=e−3x+x−3 a solution to the initial value problem shown below? y′−3x=−8−3y y(0)=−3 yes or no?

A:

Q: 10 The masses m; are located at the points Pj. Find the moments Mx and My and the center of mass of…

A: Solution: