A company that produces cell phones has a cost function of C = 5x² - 155x + 6619, where C is the cost in dollars and x is the number of cell phones produced (in thousands). How many units of cell phone (in thousands) minimizes the cost function? x = thousand phones produced will minimize C

Q: Exercise 1 (1+4) ³-1 h The given limit lim h→0 Definition of the derivative represents the…

A: Given; Limh-0[(1+h)2/3-1]/h.

Q: Consider the function f(x) = 3x² - 2x +9, 0≤ x ≤ 10.

A:

Q: Using the Second Derivative Test, where applicable, find all the relative extrema of f(x) = 12x³ −…

A: Let's find relative extrema of given function.

Q: Question Let h(x) = f(x)g(x). If f(x) = x² – 2x − 2 and g(x) = -4x, what is h'(x)? Select the…

A: To find the derivative of the given function.

Q: to Use logarithmic differentiation And the derivative, (ar ²-1) 5 -f(x)=√√√²+3x-1

A:

Q: Let z(x, y) = x³y where x = Calculate da dt = t³ & y = 1⁹. = dz dx dy by first finding & and using…

A:

Q: H f(x) = 2x²+x-6 (a) Express fin standard form. f(x) = (b) Find its vertex and x- and y-intercept(s)…

A: We have to find out

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 6t+ 6…

A:

Q: 2. In(2x² + y); x = √i, y = 12/3

A: Need to find out the derivative.

Q: 4.Evaluate y' for y = cos8x-1 sin8x and simplify the answer

A:

Q: f(x)=10x

A:

Q: dz/dt is incorrect

A:

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x - In(6x),…

A:

Q: dy ax + ycotx = 1

A: dy/dx+ yCot(x)=1 It's a linear differential equation.

Q: Question Let h(x) = f(x) g(x)' g(x) = 4x − 3. What is h'(x)? = Select the correct answer below:…

A:

Q: 1. The half-life of a radioactive substance is 3200 years. Find the quantity Q(t) of the substance…

A:

Q: Find the Differential Equation whose general solution is y = C₁e4t + C₂e-3t Oy" - y' +12y = 0 y"+y'…

A:

Q: Find the absolute extrema of f on the indicated interval. f(x) = −3x¹/³(x − 32) on [-1,27]

A:

Q: 5) The manager of a Fast Tech store has found that the rate of sales (in hundreds of dollars per…

A: Given Table:- Number of days =t 0 5 10 15 20 Rate of sales 50 48 40 37 32

Q: Find the derivative f'(x) of the following function. sin x e2x [A] [D] cos x−2 sin x e2x 2cos x+sin…

A:

Q: List all the primes between 20 and 40 in increasing order (in the form 2,3,5,7,9,11). A/

A: I am attaching image so that you understand each and every step.

Q: Suppose R is the triangle with vertices (−1,0), (0, 1), and (1,0). (a) As an iterated integral, ff…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1. sin(In 41x) X dx

A:

Q: Find dy/dx by implicit differentiation. 11. x² + y² = 100 13. x²y + 3xy³ - x = 3 15. 1 + = 1 BE-EE…

A: Topic - Implicit differentiation We are given, 1x+1y=1We know thatddxxn=nxn-1

Q: use the appropriate compound interest to find the amount after 4 4 years the account. io 21,000…

A:

Q: The answer wasnt correct

A: Given; f(x,y)=xy, point (-4,-1) and direction is <-3,-5>.

Q: Find the solution of the given initial value problem: y (4) + 2y" + y = 9t + 10; y(0) = y'(0) = 0,…

A:

Q: The Chain Rule Exercise 8 y = (3.x²+1)³: (a) Decompose the function in the form y = f(u) and u =…

A:

Q: Use the degree 2 MacLaurin polynomial of f(x) = cos(2x) to approximate cos(2). . (Enter a number for…

A:

Q: 8. y'=fln(y²¹) + 1²

A:

Q: The first derivative of the function h is given by h' (x) = x - x³ + x. On which of the following…

A: Solve by derivative

Q: 18,000 invested compounded for 6 years at 4% interest. How do I figure out the annual and semi…

A: 18,000 invested compounded for 6 years at 4% interest. To determine the annual and semi annual…

Q: Only

A:

Q: which one of the following is the same as: -cos(-x)tan(-x) a. sinx b. -sinx c. -cotx

A:

Q: Find the solution of the nonhomogeneous linear differential equation using the method of…

A:

Q: Find the transform of the given function by use of a table. f(t) = 4t³e²t 24 (s+2)4 (B) There is no…

A: We have to find the transform of the function  ft = 4t3e2t.

Q: Solve the equation with homogeneous coefficients. (x² + 3xy + y²)dx - x² dy=0

A:

Q: 1. Simplify the following expressions without the aid of a calculator. a) log, (81) b) log2 (2525) -…

A:

Q: Find the transform of the given function by use of a table. f(t) = 5t sin (5t) + e-st cos (t) A…

A: Given : f(t) = 5t sin(5t) + e^(-5t) cos t

Q: Find the Linearization L(x) of the function at a. b) f(x)=e^x+1 , a=0.

A: To find the Linearization Lx of the following function at 'a'.fx=ex+1, a=0

Q: Find the maximum and minimum values of the function g(0) = 60 – 9 sin(0) on the interval [0, π]

A:

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A:

Q: Suppose that a tank with a capacity of 30 gallons initially contains 18 gallons of pure water. A…

A: Concept: Let w(t) be the amount of salt at any time t Now rate of change of w(t) is the difference…

Q: A set equation is not an identity if there are examples for the variables denoting the sets that…

A:

Q: Suppose that a fourth order differential equation has a solution y = - =-6e5x (a) Find such a…

A:

Q: 1. Let x₁0 for all ne N. (a) If xn0, prove that √x -0. (b) If xn →x, prove that √√√√x.

A:

Q: Suppose a product's revenue function is given by R(q) = - 8q² + 900q, where R(q) is in dollars and q…

A:

Q: A quadratic function fis given. f(x) = x² + 6x (a) Express fin standard form. f(x) = x (x + 6) (b)…

A: GivenQuadratic function f(x)=x2+6x We need to finda. Standard form of fb. Vertex of f, x intercepts…

Q: 2. Separation of Variables Determine which of the following differential equations are separable. Do…

A: Let's find given diffential equation is separable or not.

Q: If R(t) = et costỉ - et sin tj Find the speed, tangential and normal components of acceleration when…

A: