A total cost function (in dollars) is given by C(x) = 116 + 3x + 0.37x. Use differentials to estimate the change in cost when the level of production is changed from 124 to 125 units.

Q: Find the equation of the parabola described below. Find the two points that define the latus​…

A: Here we have to find the equation of the parabola also find the two points that define the latus…

Q: Find the absolute maximum and absolute minimum values of f(x) = 3x^4 +4x^3 −12x^2 +1 on the given…

A:

Q: A truck with 38-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given query is to find the angular velocity and the Frequency.

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z? = 14, (1,…

A:

Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t², where s is…

A: We need to find average velocity.

Q: (1) Find the domain of the functions (a) f(x) = /2 –- 5(x – 1); by solving a corresponding…

A: According to Bartleby guidelines, we are supposed to do only one question . if you want more to be…

Q: Consider the graphs, shown below, of the functions f(x) (blue, first graph) and g(x) (red, second…

A: According to our policies we are allowed to give solution of only one question at time. For other…

Q: 888 Chapter Sixteen INTEGRATING FUNCTIONS OF SEVERAL VARIABLES 1-z2-y2 8. f(x, y, z) dy dz dx 11.…

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

Q: Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity…

A: v0 = Velocity at center of pipe cmsv0 = 195.9 cmsL = length of the pipe cmL =…

Q: A tank initially holds 10 gal of fresh water. At t=0, a brine solution containing lb of salt per…

A:

Q: Use Cramer's rule to solve the following. 2х -Зу %3D13 2x-y = 7

A:

Q: F. 2 22+3x dx = 4 + C G. E 32 %3D 2 In 3 Inxl + C dx H 2 D(x2 - 2 +) dx = x(x* – 4x + 4) + C J. 3…

A:

Q: Determine whether the Ratio Test is inconclusive (that is, it fails to give a definite answer),…

A: We have to determine whether the given series is convergent , divergent or inconclusive

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

A:

Q: The population of a bacteria colony after t hours is given by P() - 20 growth rate of the colony…

A: We can solve the given problem as follows:

Q: Find an equation of the tangent line to the curve y = xVx that is parallel to the line y = 6 + 3x. y…

A: The curve is y=xx, whose tangent line is parallel to y=6+3x

Q: Suppose f( – 1) = 3, f'(– 1) = 6 , and g(æ) = x°f(x). The tangent line to g(x) at x = 1 is given by…

A:

Q: If f(x) dx = (2x – 14)12 + C, find f(x). %3D f(x) %3D

A:

Q: An amount of $25,000 is deposited in a bank that pays interest rate of 4% year, compounded annually.…

A:

Q: Given that lim f(x) = 0 Xa lim g(x) = 0 lim h(x) = 1 lim p(x) = 0 lim g(x) = 0, evaluate if the…

A:

Q: Find a power series representation för the function. (Give your power series representation centered…

A: The given function is f(x)=ln(11-x).

Q: 5. Compute the arc length exactly y =x² -In x , 1 sx< 2

A: Given : y=14x2-12lnx , 1≤x≤2   To Find: Arc length

Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as below.…

A:

Q: Given sinα=0.771 and sinβ=0.716 with both angles' terminal rays in Quadrant-I, find the following:…

A:

Q: 4: Show yor work. a) 1: Find the exact area of the surface obtained by rotating the curve y? +x =5,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose that f, g(t) dt = /2. Find g(1) dt g(u) du а. b. c. [-g(x)] dx 'g(r) dr d.

A: Follow next step

Q: Find the limit or show that it does not exist. V1+4x6 (1) lim x- 2- (2) lim (V9x2-5x+3x

A: 1. limx→-∞1+4x62-x32. limx→∞9x2-5x+3x

Q: 20, 6 = 24, Suppose you have a triangle (which may not necessarily be a right triangle) with sides a…

A:

Q: An open rectangular box having a volume of 108 in. is to be constructed from a tin sheet. Find the…

A:

Q: Solve the IVP by finding appropriate integrating factor an (2² + y² – 5)dx – (y + xy)dx = 0, y(0) =…

A:

Q: Draw the graph of f(x) = – 5" + 3 10+

A: Graph of 5x (a growth function)passes through (0, 1)whereas -5x is a reflection about x-axis.and…

Q: Evaluate the integral using the following values. x³ dx = 260, x dx = 10, 9. dx = 2 10 xp

A: The given question has been solved in detail

Q: The integral 5x – y dA = 59 if R R={(x,y): - 3<x<- 1, 5<y<6}

A:

Q: Graph the function and find its average value over the given interval а. g(x) %3D \x| —1 оп [-1,1]…

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: Let A = 1 a. Find the matrix product A'A b. Find the determinant |A'A| c. Find the inverse (A'A)-1,…

A:

Q: 'ax+b 1) g(x) ) (a and b are constants) = sec ax-b

A:

Q: 1. Find an angle a in the fourth quadrant such that cos a = 0.4 A) 116.4° B) 66.42° C) 285.4° D)…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to be fenced in using two kinds of fencing.Two opposite sides will use…

Q: Let u = 3 - i, w = –1+2i and z = 2 – 3i, where i is the square root of -1. What is (u + w)z? O 13…

A: Given u=3-i, w=-1+2i &amp; z=2-3i To find (u+w)z

Q: Find an equation for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

A:

Q: Use Green's Theorem to evalute this integral where C is a triangle with point coordinates (0,0),…

A:

Q: For the function f, use composition of functiol 7f(x) + 7 Substitute f (x) = 6. 6. 7x-7 f(x) = 7x+…

A:

Q: Two parametric equations are given by: x = cos (t), y = sin³(t) u = sin(t) , v = cos(t) In one…

A: Let's find.

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A:

Q: Find the Taylor series centered at c = -1. %3D f(x) = e5x %3D

A:

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: 3) To evaluate: ∫3x+3xdx Note that: ∫xndx=xn+1n+1+C

Q: 5. Fied ť+, y= t*+t for t=-l equatin ef the lagest limye te the Cume an

A:

Q: Evaluate the integral using the following values. 6. x dx = 16, 6 x³ dx = 320, dx = 4 dx

A: