A laboratory uses 600 white mice each year for experimental purposes. It costs $4 to feed a mouse for one year. Each time mice are ordered, there is a service charge of $12 for processing the order. How many mice should be ordered each time to minimize the total cost of feeding the mice and placing orders for the mice? ... The laboratory should order mice per order. ok your ur opl ang for This s

Q: Express as a single logarithm. A) log 5 + log 11

A:

Q: HeWal Compute yG), for the differential eguahion

A: The Laplace transform is a particularly elegant way to solve linear differential equations with…

Q: (2) In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all…

A:

Q: O Analyze the graph of fex), then ansuwer the questions. FOX Coriginal function graph) maximum5)…

A: From the given graph we can conclude that - -->  f(x) has local maximum at x=0       and the…

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: 1. Find the Gradient of the following F = x*e" - y': b. F, = 4x - 3y + 5=? а.

A:

Q: Sign Comment hta Finl the opachin fanPalabolas vertex, fecus and direder for The fallowing…

A:

Q: Find D in the partial fraction decompositon 12x2 -8x+40 Cx+D + x² +9 B (x-4)(x2 +9) X-4 O 9 O 7 O 10…

A:

Q: Let f(x) 2x3 + 9x2 108x – 5. Calculate the derivative f' (x) = Calculate the second derivative…

A:

Q: 24. y = e-, y = 0, x = 0, x= 1

A:

Q: Find the degree and leading coefficient for the given polynomial.   −2x2−7x4+x−8 Degree: Leading…

A:

Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) y dx dy =

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: For the function o graphed in the accompanying figure, find lim p(x). y = 6(x)

A: Limit using graph

Q: Find the radius of convergence and interval of convergence of the series.

A:

Q: Simplify {x²[x-³y(x²-¹)-1}

A:

Q: An isosceles triangle with vertex at (0, -1) is to be inscribed in the ellipse x? + 4y² = 4. Find…

A: We have to find the largest area of the triangle.

Q: polimis ul 4x+5, if x3

A: we will check the left hand and right hand limit at x =3

Q: x +4 f(x) = x +2 s the set of all real number except and its range is the set of all numbers except…

A:

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) Su d 125? V u? +4 + u²…

A:

Q: Find the inverse of f(r) = log, (3z + 1) +2 %3D

A: Find the inverse of f(x)=log43x+1+2

Q: First derivative analysis clefermine increasing /decreasing intervals b) find any max/mins. Second…

A:

Q: 00 Ž (2n)!n 32. it n = 1 n

A: Let's find.

Q: )find the inverse Laplace transform 1 L-1 (p2 +1)2,

A:

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

A:

Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D…

A:

Q: What is the spherical excess of a spherical triangle whose angles are all right angles

A:

Q: A child flies a kite at a height of 70 ft, the wind carrying the kite horizontally away from the…

A:

Q: Given a Bernoulli's equation dy + 3ry = 2y, dz from applying proper substitutions, we obtain the…

A:

Q: (7 Find the absolute extreme values (maxima minima) for gcx) = -x²+(6x -8 on Ca,4].

A:

Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: Let's find.

Q: Evaluate the integral. sin (12x) cos (7x)dx | sin (12x) cos (7x)dx =

A:

Q: V. In each of the following, find the arc length of the curve traced out by the endpoint of the…

A: This is a problem related to arc length of the vector. Based on the general formula of arc length we…

Q: Calculate the derivative. (Use symbolic notation and fractions where needed.) r cos(s) u du = ds J

A:

Q: Find recursive definitions and closed formulas for the arithmetic sequences below. Assume the first…

A:

Q: Consider the following function. f(x) = -7x + 21x + 2 (a) Find the critical numbers of f. (Enter…

A: The given function,      fx=-7x3+21x+2

Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 6, (1, 2, 3)…

A: The solution is given in the next steps.

Q: Find the area of region A in Figure 6. F FIGURE 6 F:r= 18 cos 0, G:r 1 ry = 1, r = 9 Answer:…

A: Solve for area. (Using integration we can find the answer.)

Q: Find the values of xER for which the function given below is both defined and continuous. X+3 f(x) =…

A: The objective of the question is determine the interval on which the given function is defined and…

Q: Solve the following improper integral : x3 + x? x6 +1 8

A:

Q: Consider the following function. f(x) - x2 - 8x (a) Find the critical numbers of f. (Enter your…

A:

Q: Find the moment of inertia of the solid formed with respect to the axis of revolution: region…

A:

Q: Find the exact arc length of the curve over the stated interval. y = 5x/2 – 3, from x = 0 to z = 1…

A:

Q: Ana is five years older than Beth. In five years, the product of their ages is 1.5 times the product…

A: Given problem:- Ana is five years older than Beth. In five years, the product of their ages is 1.5…

Q: Evaluate the integral. 40 sin 80 de cos Scos cos 40 sin 80 de =

A: ∫cos74θsin8θ dθ∫cos74θ2sin4θcos4θ dθ-2-2∫cos84θ2sin4θ dθ-12∫cos84θ-2sin4θ dθ

Q: Itan'x)dx

A:

Q: dy Find if y = 4x° + 5x + 4. dx dy dx

A:

Q: zチー1 メニ」t

A:

Q: To start a new business Beth deposits $1500 at the end of each six-month period in an account that…

A:

Q: The formula A = 24.2 e 0.0786t models the population of a US state, A, in millions, t years after…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…