Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) fixed cost of $330. Find the total cost function. Total cost = = 2.5x +115 with

Q: Find the arclength of the curve x = 20t 8, y = 21t + 4 with 2 ≤ t ≤ 9.

A:

Q: The point of intersection between these two lines 2x + y = 4 x + 3y = 7  is  ....

A: Given the equations are  2x+y = 4 ......... (1)  X+3y = 7 ...........(2) Multiply the equation (2) *…

Q: If sin x=3/5, x in quadrant I, then find (without finding x) : sin(2x)=___ cos(2x)=___…

A:

Q: (c) [*e*dz = e² dr (d) [₁ 2³ d dr

A: Let's solve given integral.

Q: log3x18 3/ = = √3²) 2 - Blog (y) 1083 = A log3 x + Blog y then a + log₂ (2182) log2 (x) X syntax

A: Given query is to find the value of A and B.

Q: Σ n=1 5 n(n+1) 1 (-2)] (Hint: use partial fractions)

A: To find the convergence and divergence of given series.

Q: hape of a box with a square base. It is to have a volume of 686 cubic feet. The concrete for th the…

A:

Q: 2. xy + y = (xy) ³/nx

A:

Q: The marginal revenue derived from producing q units of a certain product is given by R'(q) dollars…

A: To solve the following problem

Q: A radioactive chemical has a decay rate of approximately 10% per year. Suppose that this chemical is…

A:

Q: Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A:

Q: 11. Suppose the population of a town is 23,000 people in 2010. Write an equation for the population…

A:

Q: 4) Write an equation for a sphere centered at the point (4,6,-1) with radius 8

A:

Q: Evaluate. Use a capital C for any constant. [2√x = 3 dx = |

A:

Q: Prove that the inverse hyperbolic function can be written in terms of logarithms: cosh¹x =…

A: We have to prove that cosh-1x=lnx+x2-1 for x≥1.

Q: 2) Find the following: a) f(x, y) = x³y + exy², find i) fxy and ii). b) Suppose that w = Əw Əw find…

A: As per guidelines,  I can answer one question and maximum three subparts of a question.  Since you…

Q: Find the exact value of each of the following under the given conditions. a. cos (α + B) b. sin (x +…

A: Explanation of the answer is as follows

Q: Find all the relative extrema and saddle point(s) of f(x,y) = 3xy2 + x3 - 3y2 - 3x2 +

A:

Q: The velocity of a body is given by v(t) = 2t, 1≤t≤5        = 5t2 + 3, 5<t≤14 where t is in…

A: Given function:- vt=2t1≤t≤55t2+35&lt;t≤14

Q: Which of the following differential equations is solvable by the transformation y=vx, where v is a…

A:

Q: Differentiate. d| y=9*.log7x dx (9²-log,x) = 0

A:

Q: Suppose f(t) = 5t² + t + 3. Evaluate: lim f(t) = t→-2

A:

Q: Evaluate the surface integral positive (outward) orientation. SS.F. F. ds for the given vector field…

A: Let's find flux across S.

Q: Write the complex number 7 - n(0)), with r> 0,0 ≤0 ≤ 2. 6ż in polar form, r(cos(0) + i sin(

A:

Q: If f(x) = [² cos(t)dt then f'(x) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 6. Use the method of Lagrange multipliers to find the points on the Sphere are closest to x² + y² +…

A: Given equation of sphere x2+y2+z2=36 let  any arbitrary point on sphere is  (x,y,z) now distance…

Q: f(u) -Using the u-substitution, u = x + 3, identify f such that the integral√x +3 dx, takes the form…

A: ∫xx+3dx

Q: If the common ratio is 0.6, what is the percent change?

A:

Q: Use an appropriate test to determine whether the series converges. Σ k=1 k! 7kk

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: Let f(x,y)=x²-3xy-y2. Compute f(2,0) and 1(2. - 6). f(2,0) = (Simplify your answer.)

A:

Q: Solve the given LDE using the method of variation of parameters.  (D2+1)y = csc x

A:

Q: Use sigma notation to write the sum. 1 5(4) Σ i = 1 + 2 5(5) + 3 5(6) + + 10 5(13)

A:

Q: find the average vaim of the function fcx) = x² = 5x + 6 cosx on th Interval [-1, [-1,3].

A:

Q: could you please write the answer properly please and clearly

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: (+/- 4√x²) dx 2x³

A:

Q: 26. Let H(t) = 5+2e-t. Find the exact value of H-¹(9).

A:

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

A:

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

A:

Q: Find the equation for the parabola that has its focus at (−35/4,−3) and has directrix x=-29/4.

A:

Q: For the D.E. d+7x²y = 0 y(0) = 2, the value of y(1) is

A:

Q: The graph of g(u) = - 2u + 2 is given below. + -4 -3 -2 -1 Q Use the limit definition of the…

A:

Q: 2. (I+x)y'= x'li+x³'2-ху xy

A: To solve the following linear differential equation.1+x2y'=x-11+x212-xy

Q: Given the information below, define a set of parametric equations, x(t) and y(t) to model the…

A:

Q: Simplify the following: (3q - q-¹)² a. -9q² - 6+q² b. 9q² + 6-q-² C. 9q² - 6+q-²

A: Given query is to simplify the expression.

Q: Solve the given LDE using the method of undetermined coefficients. (D2+D-2)y = 2x -40 cos 2x

A:

Q: The function V(x) = x(14-2x)(15-x), 0<x<7, models the volume of a box. (a) Find the extreme values…

A:

Q: Using the graph of f(x) above answer the following. If a limit does not exist, type DNE: f(x) = a)…

A: Graph of the function is given, we have to find the limits a) limx→6-fxb) limx→1fxc) limx→-∞fxd)…

Q: Calculate the divergence of D at the point specified: D = (1/y2) [ 4xyz2 ax + xy2 ay – 10xy3 az] at…

A:

Q: 1. Bernoulli's Equation. Find a particular solution of the differential equation y^2dx + (2xy -…

A: solution is below.