It costs c dollars each to manufacture and distribute backpacks. If the backpacks sell at x dollars each, 2a the number sold is given by n = + b(60-x), where a and b are positive constants. What selling X-C price will bring a maximum profit? Express the total profit P in terms of x. P(x) = ...

Q: (4ху? — 1)x2 + у(2x4 + у)у' %3D5; у(1) — 1

A:

Q: 4. Solve the equation satisfying the conditions: dt ax (i) T=0 when x= 0 and 1 for all t 2х, 0Sx<1/2…

A:

Q: Evaluate the differential equation by Rayleigh-Ritz method also plot the results d’u -u = 0 dx² u(0)…

A:

Q: Q1. Given three vectors A = -a,+2a,+3a, B = 3a,+4a,+5a, and C = 2a, -2a,+7a,, compute : a) Angle…

A: Given the vector A=-ax+2ay+3azB=3ax+4ay+5azC=2ax-2ay+7az

Q: y" +2p(x)y + q(x)y=0 to u" +f(x)u= 0"

A: This is the question from the Differential equation.

Q: What is the domain of the function f(x,y) =Vy-x ? Select one: All points lying on or in the left of…

A:

Q: х —1 dx 2.

A: We have to evaluate the integral ∫x-1x2+xdx

Q: Given the recursive formula, ƒ (n) = ƒ (n − 1) + ƒ (n − 2), n ≥ 3, and ƒ (1) = ƒ (2) = 1. What is ƒ…

A:

Q: 7. Find the perimeter of the figure whose vertices are the midpoints of a quadrilateral with…

A: Distance formula -  √[(x2-x1)2+(y2-y1)2]  Mid point formula -  ( (x2-x1)/2 , (y2-y1)/2 )

Q: Use cylindrical coordinates to find the volume of the solid. Solid bounded by the graphs of the…

A:

Q: Consider the vector-valued function. (a) Show that is continuous at t = -1. (b) Evaluate (R. RY(2).…

A: Like a scalar function, features like continuity and differentiability are also demonstrated by…

Q: A radioactive substance has a decay rate of 0.079 per minute. How many grams of a 200 gram sample…

A: Given Information: Decay rate k=0.079 per minute Initial amount N0=200 gram Time t=1 hour=60 mins…

Q: Which of the following has a graph of a function? Ox2 + y2 = 9 Oy- x? = 4 O x² + y? = 16 Ox2 – y2 =…

A: We know that USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION. Inspect…

Q: Find the point that is one-fourth of the way from (2, 4) to (10, 8)

A:

Q: The bus fare in a city is $1.75 five cents. people who use the bus have the option of purchasing a…

A: Solution of given question is written in below steps.

Q: Question 3 The IVP y-y= 0, y(0) = 1 has O more than one solution with y(0)= 1. O has a unique…

A:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. F(t) = i)…

A: Given that, r⇀t=&lt;t,t2,3&gt; Then we get, Velocity: v⇀t=1,2t,0

Q: Find / f(2) dzand write it as a + ib where a and b are real numbers. What is a – b? -

A:

Q: Consider the following initial value problem: x" - 5x' - 14x = sin(8t), x(0) = 2, x'(0) = −1. Using…

A:

Q: Name a point that is sqrt (2) away from (-1,5)

A:

Q: It is given that three positive integers form an arithmetic sequence. Find these three integers if…

A: Let the three integers be a-d, a and a+d.

Q: -2x³ + 3x² -0.3=0

A: