For the following exercises, consider a right cone that is leaking water. The dimensions of the conical tank are a height of 16 ft and a radius of 5 ft. Find the rate at which the surface area of the water changes when the water is 10 ft high if the cone leaks water at a rate of 10 ft3/min.

Q: (a) Determine which of the following statements are correct. Select all that apply. sin (1) = 0 O…

A: according to bartleby policy we do only first part (a)  (i)  we know sin(0)=0sin(π2)=1

Q: 6. a. Find all relations from (4, 5, 6) to {1, 2}. b. Find all functions from (4, 5, 6) to (1, 2).…

A:

Q: ving the ial value lane the differential equation. problem depends In each of Problems 13 through…

A:

Q: Assume that z = f(x, y) is a continuous function over the region R. Assume a = 8. 0₁ = fl r1 = R r=a…

A:

Q: Given f(x, y) = x¹ - 5x²y³ - y², find

A:

Q: Find an equation of the tangent line to the hyperbola 22-22²2=2 at the point (xo, Yo). y = = 1

A:

Q: Step 3 Substituting m 0 and (x, y) = (1, e) into y yo = m(x-xo) and solving for y, we can conclude…

A: Given that m=0 and (x0 , y0)=(1 , e)We substitute, m=0, x0=1 and y0=e into y-y0=m(x-x0)

Q: 12) y = ex²/2 solves y' = xy

A: if given function is solution of differential equation than it will satisfied it d dx(ex)=exd…

Q: Find dy by implicit differentiation. dx 5x² + y² = 25 dy dx =

A: Given equation 5x2 + y2 = 25

Q: Graph y=2+ sin 0. First choose the appropriate starting graph from the ones below. Then transform it…

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: Suppose that you are on the beach on December 25 and notice that the high tide occurs at 2:00 pm…

A: We need to find sinusoidally equation data.

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. 9 a₁ = (1 + ²)²…

A:

Q: Find the function. Find the function that is finally graphed after the following transformations are…

A: Given parent function:- y=x

Q: Find two nontrivial functions f(x) and g(x) so f(g(x))=(1-x)4

A:

Q: 5 - S₁² V(t) = 200e-0.03t dt

A:

Q: B. Ship A is sailing west at 25 mph and ship B is sailing south at 30 mph. How fast is the distance…

A:

Q: On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature…

A:

Q: 28. 239Pu 24,100 0.4 g

A:

Q: Graph the following equation using reflections and shifts. f(x)= (-x+ 1)² +2 O O O

A:

Q: S F. ds for the given vector field F and the oriented surface S. In other words, find the flux of F…

A: Given that: F(x, y, z)=-x i-y j+z3 kS:  z=x2+y2 ;         z=1  and  z=4

Q: A Street light is at the top of a 16 foot tall pole. A 6 foot tall woman walks away from the pole…

A:

Q: Several unit vectors r, s, t, u, ñ, and e in the xy-plane (not three-dimensional space) are shown in…

A: Solution: Definition of dot product: e.s = |e|*|s|*cos(theta),

Q: rough 8 is 14. Show that any separable equation ) y' = 0 roblem d. given brem sible M(x) + N(y) y' =…

A:

Q: Find the limit. Enter DNE if the limit does not exist. 8xy lim (x,y) (0,0) x² + y²

A:

Q: The graph in the figure is a horizontal and/or vertical shift of the graph of y=x². Find a formula…

A:

Q: The domain and range of the square root function below is: Domain: [1, 0o) and Range: (-00,-1]. K о…

A:

Q: Question 6 The Wronskian is the determinant of a matrix whose entries are functions and its…

A: To find the size of wronkian for the given function.

Q: Consider the function f(x) = 25 - 5x³ 1. On the interval [-3,3] find the absolute maximum and…

A: According to extreme value theorem if a function is continuous in a closed interval a,b then its…

Q: A company is considering expanding their production capabilities with a new machine that costs…

A:

Q: Find by implicit differentiation. dy dx dy dx || x2+ + 11xy + y2 = 4

A:

Q: Find the limit of the sequence using L'Höpital's Rule. (ln(n))² 5n (Use symbolic notation and…

A:

Q: Evaluate (if possible) the vector-valued function at each given value of t. r(t) = t²i – (t − 1)j

A:

Q: Let f(x, y) be a C-class function of two variables (i.e. its first order partial derivatives are…

A: We need to find h'(u).

Q: Resonance Occurs. Find the solution of the initial value problem: x" + 4x = 8 sin(2t), x (0) = x'(0)…

A: Solution: Given data, x" + 4x = 8sin(2t) Let's compose the characteristic equation m2 +4 =0 m1 = 2i…

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(0, -1, 4),…

A:

Q: II. For each function below find the critical points, the values at all critical points and…

A:

Q: Given f(x)=√2-x.where x ≤ 2, and g(x)= x2 + 1, find (gof)(x). O X-3 O√3-x³ O √1-x¹ O 3-x

A: Given function:- fx=2-x and gx=x2+1

Q: dy Use implicit differentiation to determine given the equation x + y = 10. dx dy dx

A: Given equation:- x6+y4=10

Q: 4) y = 3 - x + xlnx solves y' = lnx

A: Given query is to find expression is solution of differential equation.

Q: Find the maximum value of f(x,y) = x5y8 for x,y > 0 on the unit circle

A:

Q: Write the equations in rectangular coordinates x and y. 3π 4 (Express numbers in exact form. Use…

A:

Q: 49. e² = xyz (ar and az/av

A:

Q: A ball with mass 0.12 kg is thrown upward with initial velocity 10 m/s from the roof of a building…

A: The details solution of the given question is given below in step 2.

Q: dP The population of a suburb is growing at a rate given by dt population is 9600 people. = 180 -…

A:

Q: exact value

A: Here we have to find the partial difference.

Q: etermine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Given query is to find sequence converges or diverges.

Q: Calculate the limit. n lim no 11n + 20 (Give an exact answer. Use symbolic notation and fractions…

A:

Q: Complete the parametric equations of the line through the points (-8,2,-6) and (-2,6,-1) x(t) = 8 +…

A:

Q: Given the 3 functions. F(x,y) = 2x+y. G(x,y) = x^2 + y, and H(x,y) = (x^3 + y^3) / (x^2 + y^2)…

A: Given: Fx,y=2x+y, Gx,y=x2+y, Hx,y=x3+y3x2+y2To classify each of the above given function as linear,…

Q: Find the curvature of the curve r(t) = (-2t, 3t5, −5+³) at the point t = 1. Give your answer to 2…

A: