2. The volume of a cube is increasing at the rate of 6 cm /min. How fast is the surface area increasing when the length of an edge is 12 cm? (V= e' and SA = 6e*)

Q: 12 of 13 Find the value of k that will make the function (x) f(x). continuous everywhere c 2 f(x) =…

A:

Q: f(x) = = hen -6x I+3 f'(3) =?. (Answer accurate to 2 docimal

A: Given f(x)=-6xx+3f'(x)=ddx-6xx+3…

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f…

A:

Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

A: Solution: Let x be the side of the square while y be the height of the open box, then as per the…

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A:

Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: Derivatives: Determine the derivative of the following using the definition (4 step rule). 1.…

A: Since you have posted many question, as per company guidelines we will solve first three for you. To…

Q: Profit. Suppose the profit of a product is modelled by the function f(x) = 2x3 – 21x2 + 36x + 9 The…

A:

Q: 3x2 — 9х + 11 2х + 4

A: Given query is to find the derivative.

Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: Second Derivative Test. Consider the function f(x,y) = 2xy + 3ln(x) + 10y (a) The critical point of…

A: The given function,   f(x,y)=2xy+3ln(x)+10y

Q: Find the equation of the tangent line to the curve y = (2? - 8)' at point (5, 2). y =

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the vector projv u if v= 5i +jand u = 2i+V17/

A: Use vector projection formula and dot product.

Q: 16. Find the number of units x, measured in thousands, that will minimize the average cost function…

A:

Q: Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0, 0,0), (6, 0,…

A:

Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

A:

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x<24x2+6x+8if x≥2

Q: The line y=-Lx+8 has perpendicular whrich is fangent to the graph of Find the value of ke y = (x²2)…

A: Explanation of the answer is as follows

Q: Find the unit vector e, if i = ( – 2, 2) ey =

A:

Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

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

Q: se Exact Differential method (Rule II) to solve : x² – y²)dy = xy dx.

A:

Q: A joint density function of the continuous random variables x and y is a function f(x, y) satisfying…

A:

Q: Find the exact length of the curve. x- 2, y =? - 2, Osts9

A:

Q: Kareem deposits $30,000 into an account that pays simple interest at a rate of 3% per year. Linda…

A:

Q: F(cotx + tanx)² dx

A:

Q: Given the following differential equation y' - 3y = 0 Plug in the appropriate power series for "y"…

A: Use power series  for finding the correct option

Q: Consider a triangle ABC like the one below. Suppose that C=121°, a=64, and b=68. (The figure is not…

A: Given C=121°, a=64 and b=68We know cosine rule is…

Q: x2 - c2 x c -3

A:

Q: Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of…

A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

Q: PidliLS aiiu I 3. Calculate Duf (0, –2,5) in the direction of v = -3i + 12j – 4k for the function f…

A:

Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. -12x-9…

A: Our Aim is to set up the form for partial fraction decomposition given that:--12x-9x+85x-1-(i)

Q: -The magnal cost of a produt is modeled by , uhen x-(5, C=40. Find the cost functon.

A: Given query is to find the cost function.

Q: ............................................... Flight of a Model Rocket The height (in feet)…

A:

Q: 4. Represent each of the following in the exponential form: (a) 1+i (b) Vz (c) vi, V-i

A: The objective is to find the exponential form.

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: Evaluate the iterated integral. T/2 r10 cos(0) r dr de

A:

Q: Graph the constant profit lines for the objective P=5x+8y through (4,4) and also through (6,6). Use…

A: Please refer attached file for solution below

Q: 16. SHOW ALL WORK Given the two complex numbers in trigonometric form, perform the indicated…

A:

Q: Can you solve the system of equations  dx/dy = [ 15   - 18 ]             [   12  -15  ] when it…

A: Solution:  Given that

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate of…

Q: Given the power series expression E n A xln + 2) n = 1 + 2 3 A x" n = 1 1. Force the first power…

A:

Q: = [[[In(x² + y² )dxdydz

A:

Q: biscee HOM VIT MOBKI (-) = (x)f %3D (x? – 7x+13) for 8. Identify any asymptotes, extrema, points of…

A: Given that the function is       f(x) = (x2-7x+13)/(x-4)

Q: NOTE: Each question must be submitted individually. Press 'Submit Answer' for each question before…

A:

Q: 7ェ +8 If f(x) = find: 4x +3 f'(x) = !! f'(4) =

A: The objective is to find f'(x) and f'(4).

Q: 4 Suppose that r + y* = 82. dy (1) Use the method of implicit differentiation to find da dy dx (2)…

A: Please see the answer below.

Q: 10. (Section 4.4) Find the area of the region bounded by f(x) = x² + 3x + 1 and g(x) = 6x + 1.

A:

Q: Use implicit differentiation to find the specified derivative at the given point. Find dx dy at the…

A:

Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

A:

Q: True or False: If lim f(x) = 4 and lim g(x) 3, then %3D %3D lim[-3f(x)² – 49(x)] = -60 O False O…

A: