A tank in the shape of an inverted right circular cone has height 9 meters and radius 19 meters. It is filled with 7 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is 8 = 1490kg/m³

Q: For the demand equation, use implice deferentiation to find dp/de. 18p + 4p +3-x

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 2. Evaluate lim -4x+1 X-1 x-1

A:

Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: Solve the inequality. x-2 < 0 X+1

A: Given,            x-2x+1&lt;0

Q: Answer the following equations for fu the dereviative of (fg)(x) by using the differentiation o the ...

A: We have to find the derivative of the following given function according to the given information

Q: Find the points of Intersection of the graphs of the equations. x+y%= 15 -3x +y%3D 11 (x, y) = (smal...

A:

Q: Question 9 Cosx -dx, sintx Evaluate the Integral A +C 3sin³x +C sin³x В +C 3sinx -+C sin³x D B.

A:

Q: . Find (f o g)(x) for the pair of functions. f (x) = x – 3 g(x) = 6x + 8 (fo g)(x) =

A:

Q: Between 0°C and 30°C, the volume V ( in cubic centimeters) of 1 kg of water at a temperature T is gi...

A:

Q: dx

A:

Q: Consider the function f(I)= 6x +5x. For this function there are four important open intervals: (-0, ...

A:

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: I am attaching image so that you understand each and every step.

Q: Solve simultaneous equation dx/dt=x+y , dy/dt=4x+y , t=0 , x=2 , y=5

A: First I have written the differential equation into operator form and then reduce it into linear dif...

Q: The quantity of a substance can be modeled by the function N(t) that satisfies the differential equa...

A: We have to find the quantity of substance at t=1.8.

Q: 28. 50 n=0 4/3

A:

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.002x° +0.07x + 14x + 60...

A:

Q: 5. Water is pumped out of a horizontal cylinder through an opening at the top. Find the work (in jou...

A:

Q: True or False: To evaluate the integral dz, 9. we use substitution withr= 3 sec 0, where Select one:...

A: Option B

Q: 11 1 Calculate the following limit. Let an = and bn = Vn + In (n) (Give an exact answer. Use symboli...

A:

Q: Write the general antiderivative. (Use C for the constant of integration. Remember to use abs 1 3x d...

A:

Q: Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the so...

A:

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

A:

Q: dy 9. Find for y=xVx+ 1

A:

Q: where A and C are eritical nummb ers /- intervals (-0,A) (AB), (B.C) and (C) where A and c are eriti...

A: This question is based on application of derivative.

Q: The function A Age0.19t models the amount an individual owes a credit company t years after some ini...

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: *'(x) *'(1) %3D

A: Given query is to find indicated derivative.

Q: Verify that the series n4 + 1 n=1 satisfies the conditions of the Integral Test, then use the Integr...

A:

Q: Use the Integral Test to determine if the series 1 Σ (n +2)°/¾ n=1 converges or diverges.

A:

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

A:

Q: Let (P) be the surface given by the following equation + 4 and (Q) be a surface given by the below f...

A:

Q: The marketing research department for a computer company used a large city to test market the firm's...

A:

Q: Find the absolute maximum and minimum values of the function on the given set R. (x,y)=(x-2)'+y'; R-...

A:

Q: Work of 1 Joule done in stretching a spring from its natural length to 16 cm beyond its natural leng...

A:

Q: २२ 221 find the Pur Pe

A: In this question we will use basic concepts of calculus i.e concepts of limits and continuity. Solut...

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (b) If the...

A:

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal...

A:

Q: 2- R 1+ TTX 86. Let R be the region in the first quadrant bounded by the graphs of y = 4 cos | and y...

A:

Q: 2. Evaluate lim x-4x+1 X-1 x-1

A: I am attaching image so that you understand each and every step.

Q: Write a Riemann sum corresponding to the following definite integral. p6 sinx 1+ x5

A:

Q: Determine whether the series is convergent or divergent. Write the exact TEST that you use. 22n+2"+1...

A:

Q: Example 5.4.3.1 1. Find the maximum rate of change of f at the given point and the direction in whic...

A:

Q: True or False: If 3 In|x-3|+B In|x+2|+C (x-3)(x+2) then B = 5 Select one: O True O False

A:

Q: The population density r miles from the center of a certain city is p(r) = 5e 0.1r people per square...

A:

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

A:

Q: Shoch the hf the n Deph Lopes t Iderh any ata

A:

Q: Evaluate the integral .8 xV x+1 dx

A:

Q: Use implicit differentiation to find y' and then evaluate y' at (3,4). 8x² - y³ - 8 = 0 y' =| y'l(3,...

A: ddxfx±gx = dfxdx±dgxdx dafxdx=adfxdx dxndx=nxn-1.

Q: The Cartesian equation of a line is given by 3x – y + 6 = 0. Determine the acute angle that this lin...

A:

Q: xtra questions: Find the Derivative of 8 1. y = 10 vx ++ x2 2. y = ta n(si n x) 3. у %3D cot?3x

A: