Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200, where x is the number of units sold with 0 ≤ x ≤ 30. Find the number of items that will maximize profit.

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A:

Q: Consider the following. de Use the substitution u = sin(0) to rewrite the given integral. SCC du The…

A:

Q: B)Evaluate the integrals: i) f/2rdrde, "1/2 ii) f/²/2finx 2² siny dz dy dx.

A:

Q: Find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then…

A:

Q: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

A:

Q: Does the sequence converge? If so, what is its limit? If not why not? ne-n nten n=1

A: 1) The given sequence is;  (ne-n/(n+e-n))infinity n=1. 2) The given series is 2/(-5)n.

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: e The median weight of a boy whose age is between 0 and 36 months can be approximated by the…

A:

Q: Q2A)Matrix A = 4 ,find Eigen values of A².

A: Solve by matirx

Q: Find the center of mass x of the point masses lying on the x-axis. m₁ = 8, m2 m₂ = 8, m3 = 8, m4 =…

A: We have to find center of mass.

Q: determine the average rate of chnage for the funcation f(x)=4log(x^2)+ 2/x betweem x=3 and x=5

A:

Q: Sir Lancelot 40 TO 54° X = Sir Robin 1000 4x-12 X= 26° Sir Galahad C X= Sir Bedivere 16 16 9 2x + 34…

A: Concept: Secant and tangent: A secant line connects two or more curve points.A tangent line only…

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: )

A:

Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x…

A:

Q: The region in the second quadrant bounded above by the curve y = 4-x², below by the x-axis, on the…

A: Solution is given below:

Q: A 13.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the…

A:

Q: Find an approximation of the area y = 16 - x² over the interval [0,4] using L6 (left end point…

A: Use: Area=∆xf(x1)+f(x2)+f(x3)+f(x4)+f(x5)+f(x6)       where ∆x=b-anwhere n= no. of rectangle…

Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: Q2A)Matrix A =[42],find Eigen values of A².

A: We need to find eigen values.

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A:

Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

A:

Q: Q2A)Matrix A = 42find Eigen values of 4². dy -(x²+y) B)Solve differential equation x+siny

A:

Q: Əw 1. If w=x" f() show that x ax +y Əw ду = nw where n = integer.

A:

Q: B)Is w = Zez analytical function or not?

A:

Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

Q: Suppose the Candy Company chose to use design C. How many cubic centimeters of material would they…

A: Concept: The volume of the Cylinder: V=πr2h Here r is the radius of the base of the cylinder and h…

Q: 3. The population of a specific bacteria growing in a Petri dish is modelled by the function t P(t)…

A: Population of bacteria is  P(t)= 12000(3)t/4  a) determine the value of t when P(t) =324000  b) what…

Q: If f(x) = x² - 4, which of the equations below describes the average value of f(x) over the interval…

A: Let fx be a function, the average value of fx over an interval a,b can be calculated using the…

Q: d dx (f³x²) = ○ 6x63x² (In b) ○ 6³x² (6 ln b) 6x6³x² ○ xb³x² (ln(6b))

A:

Q: Pls help ASAP. Pls show all work.

A: Given, y=14 Aim : Find derivative

Q: Rewrite the following equation with the variables separated: y' = dy cos y = (3x + 5) dx dy = cos y…

A:

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: A balloon rises at a rate of 3 meters per second from a point on the ground 60 meters from an…

A:

Q: 2. Find the domain for the following functions: x 4 3x a) b) c) √√x-7 x²+x-56 x²+4

A: As per Bartleby guidelines rule I am answering only three sub-part of a question. This question is…

Q: b. 1 1 + In u น - du

A: We can you evaluate the given integral by using the substitution v = ln u

Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

A:

Q: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

A:

Q: Evaluate x+1 S ex x² dx O e.e= + C O-e e + C O e e + C e = + C O

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: Use the derivative of a function definition to find f ′(a) at the given number a. f(x) = (5x+6)1/2…

A:

Q: QUESTION 16 hexagons can form a tiling of the plane. A. All OB. No C.Some

A: Option (C) is correct.See below the answer and explanation

Q: Assume that f is continuous on the set of real numbers. Find a and b given that cb 3 f(a)da - [³…

A:

Q: Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x² + y²…

A:

Q: ΗΣ 1 an find limnoo Зп σο n=1 - 2 11 ∞ Ο 0 Ο 3 Ο 52 sin(an)+11 4

A:

Q: 3)The solution of the differential equation=x+1-y is y=(x-e-xc). True O False

A:

Q: e tangent to the function f(x

A:

Q: the complex number 6√3+6i in polar form 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

A: