Question 1: The lateral surface of a (right) cone is given by LA = TrVh² + r2 where h is the height of the cone, and r is the radius of the cone. The volume of a cone is given by V = h. If r = 2 and is constant, dV/dt = -1 and h = 1, find dLA/dt.

Q: du If u = x²y + y²z + z?x then at (1,1,0) is ax %3D -

A: Given that u=x2y+y2z+z2xTo find :∂u∂x  at 1,1,0Solution :u=x2y+y2z+z2x∂u∂x=2xy+0+z2∂u∂x=2xy+z2

Q: Imaginary and Simplify: 1) (4 + 2i) + (-3 – 5i) 2) (-3 + 4i) – (5 + 2i) 3) (-8- 7i) – (5 – 4i) 4) (3...

A:

Q: The population of a city is 45,000. The city grows continuously by 2.8% per year. If this trend cont...

A:

Q: Let u = (6, 3), v = (2, -9). Find 4u - 6 v.

A:

Q: Joes the graph of the function below have any horizontal tangent lines in the interval 0 sXS 2T? It ...

A:

Q: 4. Evaluatelim X-1 Show your complete x-1 solution.

A:

Q: Find the indicated vector. Let u = (-3, -9). Find -4 u. O (12, 36) O (-12, 36) O (12, -36) O (-12, -...

A: We have to find out vector

Q: W = f(T,v) where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A ...

A:

Q: Evaluate the following integrals of inverse trig functions. NOTE: SHOW COMPLETE SOLUTIONS 1.∫ sin^...

A:

Q: -7 -4 A = -12 -3 -12 8. 50 has 1 = -3 as an eigenvalue with multiplicity 2 and 1 = 1 as an eigenvalu...

A:

Q: 10. Prove that lim x2 = 4 using the epsilon-delta definition of a limit. %3D X-2

A: limx→2x2=4

Q: Determine the general solution for each given higher order differential equation or particular solut...

A:

Q: If g = 1110°, simplify the expression sin- (sin g). If undefined, enter Ø. Provide your answer below...

A:

Q: A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pe...

A: Given:- A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into...

Q: Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. fx.y) = - 2 + 7xy - 6...

A: We have to find the maxima and minima of the function.

Q: Draw the Rollowin functions ゴ= 4メ-1

A: We have to draw y2=4x-1

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

A:

Q: Suppose f(x,y) = sin-' (6 – 2x2 – y²) and g(x,y) = 4x2 – y2. Determine the continuity of the functio...

A:

Q: Consider the function y= ln(x+1) . what valves" of x is For at y vndefined 7

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

A:

Q: Find the length of the curve x = (y − 5)3/2 from y = 5 to y = 6.

A:

Q: ve f (cot x + tan x) dx then evaluate the an

A:

Q: A company produces a special new type of TV. The company has fixed costs of $494,000, and it costs $...

A: NOTE: Refresh your page if you can't see any equations. . here fixed cost is $494000 and the variabl...

Q: Suppose that f is a linear function with slope 2.2 and that f(5) = -3. What value of x gives f(x) = ...

A: We have to find out x value for which f(x)=0

Q: 8. find c in the int erval[-2,1] for f(x)=x' +x+3 use f'(c) = (b)-f(a) b-a 8.

A:

Q: X = 1 mod 3 x = 7 mod 4 X = 2 mod 19

A:

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A:

Q: 16. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem...

A:

Q: Simplify: 1 2 3 3 2 + 2 1 1 2 2 2 3 4 5 6.

A: We will simplify the given operation of matrix in the following step.

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: Evaluate the following expression. arctan(-/3) Report your answer as a simplified fraction. Provide ...

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A:

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

A: NOTE: Refresh your page if you can't see any equations. . x=number of rooms y=price per room from th...

Q: If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 20°C, then, ...

A: Given query is to find the average temperature of the coffee in the first 40 min.

Q: Find what value of c does L dx = 1 ? x4 Answer:

A:

Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the po...

A: A-9,-5,5 and B-4,-12,8

Q: |(1 – 32)} dx [a (1 – 43)! (1— 4х): (1 – 4x){ + C 3 + C 4 + C 3 none of the above

A:

Q: 8. A company is increasing production of oven mitts at the rate of 4 per day. All oven mitts that ar...

A:

Q: Let us try to find where a function is increasing or decreasing given the following.  f(x) = x3−4x,...

A: Topic:- calculus

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x4 − 8x2 + 4 (a) Find...

A: As per bartleby guidelines we only give first three question answers. 

Q: (iv) Which one is the correct statement (the next step to find f' (æ) by definition)? 13(Vz +3 – VE ...

A:

Q: 2+x 5. Given f(x) =<tX Find X-4 %3D a) fe) b) f(a+1) c) f(x) + f(h)

A:

Q: Solve the following problems a. Which of the following are the coordinates of a point where the tang...

A:

Q: 1. y" + 4y = 4 cos x + 3 sin x – 8 %3D -

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: — 3 6 -4х + 10у 2x – 5y = 3

A:

Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:

A:

Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: What is the distance between the line with Cartesian equation x-1 = y-6 = z and the line with Cartes...

A: Given:- The line with cartesian equation x-1=y-6=z and the line with the cartesian equation x-1=y-6=...