n one of the warehouses of a construction firm, cement is being released from an elevated storage bin at a rate of 29 ft3/min. A wide and flat metallic sheet below the bin catches the cement which forms a conical pile. The base diameter and the height of the pile is maintained at a 1:1 ratio. Find the rate at which the area of the base of the cone is increasing when the diameter is 14 feet. Provide both the working equation and the differentiated equation of this problem

Q: Use the chain rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(0), y = r ...

A: We have to find out derivative

Q: An airplane flies from City A in a straight line to City B, which is 110 kilometers north and 155 ki...

A: In this question we have to find the distance traveled by the Plane.

Q: Find the dot product of the following vectors u and v. %3D

A: The dot product of u and v Vectors is -16

Q: Find a unit vector n that is normal to the surface 4z? – 2x* – y = 18 at P = (1,2,3) that points in ...

A: Solution of question is written in below steps.

Q: (5) Given f(x) = x° + 2x-5x- 4, how many values of x does f(x) = 2, for 0 < x < 10? (A) None (B) One...

A:

Q: If a1, a2, a3, ..... , an are in AP witn common difference d (where d + 0) then the sum of series : ...

A:

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x – x°...

A:  

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

A:

Q: P = xi + yj +zk Q = x²i -z²k R = xy²j – yzk PROVE THAT (QX R) *(dot) P = R *(dot) (P X Q)

A:

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the gr...

A: In this question we have to find the deaths by AIDS in 2003.

Q: b a

A:

Q: You have been given the function fcx,y,z)= y Find the valve of the partal derivotives below- Don't r...

A:

Q: az az Use the chain rule to find and əs at z = tan(x° + y°), x = s In(t), y = tes az as az at II II

A:

Q: '5 7 Given f(x) dx : = 12 and f(x) dx = 4, evaluate %D 7. (a) f(x) dx. 0. (b) / f(x) dx. '5 (c) f(x)...

A:

Q: 00 n- 1 Given the series Does this series converge or diverge? O diverges O converges If the series ...

A:

Q: Consider the equation and the given point. f(x) = (x - 3)(x? + 6), (1, -14) (a) Find an equation of ...

A:  

Q: Explain why the function is differentiable at the given point. f(x, y) = x*e", (1, 0) The partial de...

A:

Q: Explain why the function is differentiable at the given point. f(x, y) = x³y?, (-2, 2) The partial d...

A: L(x,y) = fxx0,y0x-x0+fyx0,y0y-y0+f(x0,y0)

Q: Determine the particular solution. [xcos2 – y]dx + xdy = 0' ×=1, y=r/4 tan(y/x) + In(x) = -1 O cot(y...

A: Given the differential equation is x cos2yx-y dx + x dy = 0;  x=1, y=π4

Q: [17(xe" +e* )sin(xe*)-14sin(x)dx

A:

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] 4x r(x) = 5 х0.1 + 4 6 4 5x1.1 r'(...

A: Given query is to find the derivative of the function.

Q: A solid E lies within the cylinder x2 + y2 = 1 below the plane z = 10, and above the paraboloid z = ...

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

A:

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Given :  z = &lt; 3, 2, -7&gt; Let's find the parallel vector-    

Q: Find the critical points then sketch the graph of the function below. Provide the first derivative a...

A: Derivative test for maxima and minima: A point x=a is said to be a critical point of a function y=f(...

Q: Use the Divergence Theorem to evaluate the following integral and find the outward flux of F through...

A:

Q: . A 1000 square yard rectangular lot along a highway is to be fenced off such that one side of the f...

A: Explanation of the answer is as follows

Q: In the figure below, find the following. (Round your answers to three significant digits.) 36.8 сm 1...

A: Given problem:-

Q: Consider the following. z = x2 + y2, x = 3s + 7t, y = s +t az az and as Find by using the chain rule...

A:

Q: 2x (1 – x²)² Let the function be 1) Convert the provided function into a POWER SERIES +oo Σ 4n-1 n=1...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: You have been given the graphs below, which one of them represents f(x,y)=9-x²-y² ? 1) 2) 3) 4) 30 2...

A: Here we have to represent the graph of the given equation f(x,y)=9-x2-y2 ..............................

Q: A piece of wire of length 61 is cut into two pieces. One piece is bent into a square and the other i...

A:

Q: Find the slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

A:

Q: E Homework: M6 MML Homework Question 28, 5.4.61 HW Score: 88.89%, 42.67 of 48 points O Points: 0 of ...

A:

Q: If y = Eo(k + 1)z*+3 then y' = .

A:

Q: Find the directional derivative of f(x, y, z) = xy + z° at the point P = (3, –2, –1) in the directio...

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Here we have to maximize the area.

Q: (3, 2) 1- 1 3 4 Graph of g' The graph of g', the first derivative of the function g, consists of a s...

A:

Q: GROWTH OF TABLET AND SMARTPHONE USERS The number of tablets and smartphones in use worldwide (in mil...

A: Given query is to find the rate of change in 2011.

Q: The velocity of a car is f(t) = 5t meters/second. Use a graph of f(t) to find the exact distance tra...

A:

Q: g(b) Use the substitution formula, f(g(x)) g'(x) dx = | f(u) du where g(x) = u, to evaluate the foll...

A:

Q: + 9u, +18u =0:

A: Differential equation

Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = + 2x on the int...

A:

Q: 9) In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. ...

A:

Q: Find the total length of the astroid defined by the parametric equations x(t) = acos't and y(t) = as...

A:

Q: n Cos 3n (g) 2 1+ (1.2)" n=1 n ( 1 ) Σ (h) (1+2n²)" n=1 n 1. 3.5. .... (2n – 1) (i) - 5nn! n=1

A:

Q: Find f'(x) and f"(x). f(x) x² – 8 f'(x) = f"(x) Nood olp3

A: Given query is to find indicated derivatives.

Q: dz a) $. Y z – 10

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: 6. DETAILS BERRAPCALC7 3.6.025. 0/2 Submissions Used For the equation, find dy/dx evaluated at the g...

A: We will find the implicit differentiation at a point. 

Q: Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi

A: Given:       F = ( y , sin(x) )      viewing window :  (-2pi  ,  2pi)