Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x where C(x) is the cost and x is the number of units of bananas produced. If the cost is $400 to produce 1 unit, what is the particular solution? Write your answer in the form C(x)  =  C1 ln x + C2xn + C3. (a) What is the value of C1? (b) What is the value of C2? (c) What is the value of C3?

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

A:

Q: 12. The volume of a spherical cancerous tumour is given by the function V(r) = {ar³, where r is the ...

A:

Q: esin x dx secx

A:

Q: Find the component form of v given its magnitud and the angle ir makes with the positive x-axis. Mag...

A: Given that: Magnitude of v, ||v||=43 and angle, ∅=90°.

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: Let g (x) = 12/x+ 10x . Use the limit definition of derivative to find the derivative of g (x) at 2....

A:

Q: Question Suppose that the following functions all have the given limit at a = -1. lim f(x) = 0 lim g...

A: Given that:                  

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: D Find a singular saluhion of DE: %3D

A:

Q: Find y''' (3rd derivative) of y = sin^2 (tan(6e^x))

A: Here,              We have given a function and we have to find its 3rd derivative.         So , the...

Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

A:

Q: Compute the directional derivative in the direction of v at the given point. f(x. y) = xy - x, v=i-j...

A:

Q: Evaluate f 8e7x+e7= da

A:

Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

Q: For the following exercises, use shells to find the volumes of the given solids. Note that the rotat...

A:

Q: Find the values of 'a' and 'b' that make the following piecewise function differentiable everywhere....

A: We have to find value of a and b for given Questions.

Q: 1 The function is equivalent to the series: 1-2t Select the correct response: 3 5 -1 -t--t2 2 t3 + ....

A:

Q: Find the limit, if it exists: (Do not use L'Hospital's rule) 94x2 + 19x + 5 lim x→00 182x25 + 3x – 9...

A:

Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: (1-))csc²( 1– y)dy

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute  ............

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: 3. )dx \1+x

A: As per our guidelines we are supposed to answer only one question i.e. the question no (3). For the ...

Q: QUESTION 3 Find dy/dx if sin(2x) + e = 2xy+ In(2y) by using implicit differentiation.

A: Use implicit differentiation

Q: f y=x^5, then y’=

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: The point (-3,0) is the single x-intercept for the function f(x). The corresponding x-intercept for ...

A:

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

A:

Q: 1. function f(r, y) = 4(x² + y²)e *. Find the local maximum and minimum values and saddle point(s) o...

A:

Q: 41. D 6x° A 30° ДАСD 3D ДАСВ

A:

Q: x²+2 dx x+2

A: We can solve the integral as below.

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)). Uploa...

A:

Q: Estimate the slope f'(3.5) for f(x) = sin(3x) using: %3D a. Forward difference approximation with h ...

A:

Q: 17. An open top box has the dimensions as follows: height: x width: (13-2x) length: (17-2x) a.) Writ...

A: Given: height= x width= 13-2x length = 17-2x  

Q: Problems 24-27 concern g(t) in Figure 2.29, which gives the weight of a human fetus as a function of...

A:

Q: One the first day of class, a professor asks each student what country they are from orginally. What...

A:

Q: 22. n/2 sec (t/2) dt 24. | (tan?x + tan*x) dx

A: using the properties of integral we find the given integral 

Q: e that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The colon...

A:

Q: Let f (a, y) — 5x? — 8ӕу + 2у - fy 10х - 8y 4y -8х + 4y 10х -8х + 4у

A:

Q: (Hint, the parentheses, are where you are renaming in terms of sin or cos, or when you are getting a...

A: Topic = Trigonometry

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/ or constant mul...

A: The given question can be solved as shown in step2.

Q: 9. y(x) = V + ti dt

A: Fundamental theorem of calculus 

Q: Find a set of basic vectors {ü, i} in R“ so that every vector in the solution set of the equations c...

A:

Q: Suppose y = (x² + 5)³. (a) Find the differential: dy dx. (b) Compute the differential when x dx 2 an...

A:

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

A:

Q: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

A: A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the...

Q: Sketch the region bounded by the graphs of the equations and find the area of the region. y = cosx, ...

A:

Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: f(x)=2x^2+5x+3 find all values of x where the slope of the tangent line to is 0

A:

Q: (4x^4+x^3(y)+y^4)dx+x^4dy=0, Solve for HOMOGENOUS DE

A:

Q: 1아 %3D %3D 3D -10 -15- lim_f(x) 2. lim f(x) x→-1+ 3. lim f(x) 1. x→-1- x→-1' 4. lim f(x) 5. lim f(x)...

A: Given problem:-

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + cze3x (2) by eliminati...

A: