Find the rate of change of total profit, in dollars, with respect to time where R(x) = 80x - 0.5x² and dx C(x) = 30x + 6, when 10. dt = 40 and Select an answer ✓

Q: (3) A person pays $200 at the end of each month for 10 years into a fund paying 1.8% interest…

A: Monthly payment $200 Total number of month of investment =120 month Rate of interest1.8% At the end…

Q: Mike's Parts Inc, has a certain motor whose total revenue is R = 25x -0.04x² a) Find R(110) : ) Find…

A: Since you have asked a question with multiple subparts, we will solve the first three sub parts for…

Q: Solve the given differential equation. xy(4) + 7y¹ = 0 7y"" y(x) = || X

A:

Q: Which of the following subsets of R 3 are actually subspaces?(a) The plane of vectors (b1, b2, b3 )…

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for…

Q: find general solutions  (x^(2) + 1) dy -xydx = 0   b) dv/dx - v = 3e^(x)

A:

Q: A plane flew due north at 400 mph for 4 hours. A second plane, starting at the same point and at the…

A:

Q: Solve the differential equation using the power series method around the ordinary point x = 0 (1 -…

A:

Q: 2. Assuming the following predicates: • L(x, y): x is strictly less than y (x0); D(x, y): x divides…

A:

Q: The admission team at a new university are trying to predict the number of student applications they…

A:

Q: 15. In a video game, a robot is programmed to walk from A to B along the gridlines. The robot can…

A:

Q: Prove (using the subgroup condition rather than using the axioms) that the set a -{(8 %); is a…

A:

Q: Write down the log-likelihood function for the problem and obtain an analytical solution for the…

A: Let y1,y2,....,yn be the random sample for the given distribution function Given distribution…

Q: Prove that the zero transformation and the identity transformation are linear transformations. (a)…

A: Given information Let V and W be a vector spaces, let v and w be vectors in V and W.

Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b2, b3}. b₁ 11 1 -1, b₂ = -4…

A:

Q: . Which of the following sequences are eventually monotone (or strictly) in- creasing (or…

A:

Q: a) Solve using naive Gaussian elimination with three digits round）arithmetic and compare  with the…

A:

Q: Solve the given initial-value problem. dx dt dy dt 16x - Y x(1) = 0, y(1) = 1 x(t) = y(t) = = -9x -…

A:

Q: 4. Use the Corollary to the Integration Theorem to integrate the geometric series ∞ -Σt tn n=0 term…

A:

Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A:

Q: xy^(2)y' = x^(3) + y^(3)

A:

Q: Suppose S, T € L(V) are such that ST = TS. Prove that N(S) and R(S) are invariant under T.

A: It is given that S,T∈ℒV are such that ST=TS. It can be observed that for any v∈NS, Sv=0. Since,…

Q: Determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. I (a)…

A: The open interval is represented using: (   ) and the closed interval is represented using:     . A…

Q: of subsets for M = {x | x is an integer between 1 and 7} Set M has subsets.

A: We have to check whether given statement is true or false.

Q: Two sides of a triangle measures 6 cm and 8 cm and their included angle is 40 degrees. Find the…

A:

Q: are given the following collection of points and a classification of those points (3,1,2) Maize…

A:

Q: A piano has 88 keys. Assume that at least one key is played. i. How many ways can up to three keys…

A:

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locat point C…

A: Given ∠A=53.9°, b=382yd, a=470yd we have to find c=?

Q: y"+ 6y'+ Sy -3t -st 1 - е se / у (о)= qў(o)=o

A: The differential equation is given by:  y''+6y'+8y=e-3t-e-5t      ,y(0)=0,y'(0)=0 We have to solve…

Q: What are the two countries listed in the continent Eurasia? Antartica and Argentina Russia and China…

A: The countries involved are

Q: Example 6.29. Compute y(0.3) for the differential equation dy dt = t - y², y(0) = 1 = 0.1 using the…

A: Given differential equation is dydt=t-y2 The initial condition is y0=1 y0.3 for the differential…

Q: How

A: Please find the answer in the next step

Q: Solve the given system of differential equations by systematic elimination. dx 2- dt dy dt dx dt…

A:

Q: the equation of motion of a particle is given by subject to the initial conditions - 2 and ai - 1 Xo…

A: (a) Consider the given equation, x˙0=x1…

Q: Find the x-values of the inflection points of f(x) = 4x4 + 54x³ - 42x2 + 6. (Give your answers as a…

A: The inflection points are the points on the graph where the second derivative is equal to zero or…

Q: 43. If f(x) = |2x - 21 x² - 3 and g(x) 4x + 1 then (fog)' (2) = ? x<1 x 21

A:

Q: Given that p and q each represents a simple statement, write the indicated compound statement in its…

A:

Q: T: R³ R³ be the linear transformation that projects u onto v=(2,-1,1). Find T(x, y, z) Find A, the…

A: Linear transformation and associated matrix

Q: 2. How much work is required to pump all the water out of a cylindrical tank with a height of 10m…

A:

Q: Given the following vectors: A-15.0 m at 40.0° counterclockwise from the +y-axis, B=20.0 mat 15.0°…

A:

Q: Define the linear transformation T: R. A = *- [9] dimension of R dimension of RM RM by T(v) = Av.…

A:

Q: Suppose (x1,x2) + (Y1,Y2) is defined to be (x1 + Y2 ,x2 + Y1). With the usual multiplication cx = (…

A: It is given that the addition is defined as x1, x2+y1, y2=x1+y2, x2+y1 and the multiplication is…

Q: Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 105…

A: (a) It is given that solution pumped into the tank at the faster rate, compare to the rate at which…

Q: Without using Venn diagrams, write (A' UNION B)' INTERSECT A' in its simplest form.

A: Definitions:   (a)  A∪B={x/x∈A or x∈B}                      (b)  A∩B={x/x∈A  and  x∈B}…

Q: Question 36 The distance d(u, v) between 1 and 2 is the maximum length of a - v path for a graph G.…

A:

Q: Solve the given initial-value problem. y(x) = 15 Use a graphing utility to graph the solution curve.…

A:

Q: By about how much will f(x,y,z) = In √√x² + y² +z² change if the point P(x,y,z) moves from Po(4,1,3)…

A:

Q: (p⇒r) V (q→r) = (p^q) → r

A:

Q: 9. 214 dz 215 R¹5 where C is once around the circle [z - R = R

A:

Q: Use the trapezoidal rule to calculate the absolute error of f¹ (6x³ +5x²) dx using 4 subintervals.…

A:

Q: The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods…

A: The sum of the present value of 1 paid the end of n periods and 1 paid at the end of 2n periods is…