5. The production cost per a period of time is given by the a+bx², where a and b are some positive real numbers and x represents the number of units. Find quadratic function C(x) = the minimal average cost. (The average cost is the total cost divided by the number of units produced.)

Q: Let f(t) = (t² + 7t + 6) (5t² + 3). Find ƒ'(t). f'(t) = Find f'(5). ƒ'(5) =

A:

Q: Evaluate the following integral using trigonometric substitution. 5x² dx (16+x²)² S

A:

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. 33 #*(~²²-1) dt

A:

Q: 2 Find the volume of the parallelepiped determined by the vectors a = (3, 4, -1), 6 = (0, 2, 1), 2 =…

A:

Q: Use cylindrical shells to find the volume V of the solid. The solid torus (the donut-shaped solid…

A:

Q: 6. y' = x - 4xy

A:

Q: Find the particular solution for this differential equation given the condition where y(1) = 1.

A:

Q: (a) Let S\index{1} be a circle passing through A(0,1) and B(-2,2) and S\index{2} be a circle of…

A:

Q: Find the inflections points

A: Inflection point of a curve f(x) is the point at which f''(x)=0.

Q: Find the r-coordinate of all points on the graph of f(r) = r³-2r² - 4r +3 t which the tangent line…

A: Topic = Application of derivative Correct option = 4

Q: Let Find: f'(x) = f'(8π): - f(x) = 9 tan(x) +7 sec(x)

A:

Q: If f(t) is the distance of a particle from a fixed point after t units of time, then f' (t) is the…

A: Given query is to find statement is true or false.

Q: Determine two coterminal angles (one positive and one negative) for 8 = -503°. O 217°, -143° O 127°,…

A: Co terminal angles are angles who share the same initial signed and terminal sides finding co…

Q: et y = 2 1 3/22 3/22 -1/11 and = 6 6 Write y as the sum of two orthogonal vectors, #1 in Span{u} and…

A:

Q: The following table records some values of the differentiable functions f and g, as well as their…

A: To find the derivative of given function

Q: 4. Given C(x) = 150,000 + 30x and R(x) = x² + 300x where C(x) and R(x) are the cost and revenue…

A: C(x)=150000+30xR(x)=-130x2+300x(a)  P(x)=R(x)-C(x)

Q: Find the derivative of each of the functions below. SIMPLIFY your answers. 3x³-4x+8 28) f(x) = 2x5 -…

A:

Q: At what points of R² is the following function continuous? 3 f(x,y) = x³ + x³y + 4y³ Select the…

A: Please see the below answer.

Q: A wall "h" meters high is 2 m away from the building. The shortest ladder that can reach the…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: Suppose f(t) - 6 t² (a) Using the definition of the derivative, calculate the derivative of f.…

A:

Q: 11. The following table shows values of a periodic function f(t). t 0 1 2 4567 f(t) 4 1 -2 14 1 -2 1…

A:

Q: Find the equation of the line through the points (-4,-1) and (-2,-1).

A:

Q: 3. Part 3 - Discussion Question

A:

Q: Q5.1 Let f(x) = x + 1, ax+b, 3x, x 4 is continuous everywhere. must use a valid mathematics…

A:

Q: Evaluate the polynomial for the give x^(2)-5x-8;x=-4

A:

Q: 13 ft b. fils Two ladders with lengths 13 ft and 5 ft respectively, are leaning on two walls that…

A: See below the answer and calculation

Q: Find the cross product x where = 7i+2j +7k and = (-6, -7,2). u xv= Question Help: Video Calculator…

A:

Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 2t¹0, e-6t). x component = y…

A:

Q: Find the first partial derivatives of the following function. 4 s(x,z)=z¹ cotxz Sx (X,Z) = WI

A:

Q: 5. Evaluate f** dx using the method of partial fraction decomposition.

A:

Q: Let u = (2, 1, 0) and = (-1, 5, 2). (a) Find u. 7: u.v= (b) Find the magnitude of the vectors u and…

A:

Q: Your answer changed from the last one, I need the

A:

Q: Suppose that f is a differentiable function such that f(4) = 4 and f'(4) = 7 If h(x) = √x, then…

A:

Q: Find the percentage rate of change of f at the given value of x. f(x)=√√2x² + 8; x = 2 Xpercent per…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. x² - 2x…

A: Please see the below picture for detailed solution.

Q: Evaluate the following integral using trigonometric substitution. dx 2 x - 36 X>6

A:

Q: how that vectors[ A-2i+ 3j - 2k,B=I +2j+ 4k ] are perpendicular to each o

A:

Q: Suppose f(x) = 8 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = −1. f(x…

A:

Q: After a series of calculations, was found to be = 0.972608±0.048301- Write w with the correct number…

A:

Q: 50) Find the equation of the line tangent to f(x)=3x² -5x+8 at x = 2. Answer in slope-intercept…

A: Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: 3. Use limits to find the horizontal and vertical asymptotes of the curve. 1+x4 x² - x4 y =

A:

Q: When a college won the badminton championship, the Student Congress sold championship memorabilia.…

A:

Q: 3. Determine if the vector field F(x, y, z) = (y-z, xz, x - y) is conservative or not.

A:

Q: Plot the point that is symmetric to (2,4)

A:

Q: A The graph of the function f defined on the closed interval [-2, 2] is shown above. Let g be…

A:

Q: Evaluate the limit below for f(t) = √t and x = 5 in two steps by using algebra to simplify the…

A: Topic-Limits We are given f(t)=tand x=5

Q: Find the x-intercept of the tangent line to the graph of 2x + cos(x) f(x) at the point (0, ƒ(0)). 1.…

A: Given function:- fx=2x+cosx

Q: After using his car for almost a year, Pedro observed that the cost of fuel is equal to the square…

A: Given, Cost of fuel = (running speed)2 Let the running speed be, v, and the cost of fuel be C. C =…

Q: Fill in each box below with an integer or a reduced fraction. 1 (a) log162 = can be written in the…

A: