15. Kitchen's Contracting determines that the marginal cost, in dollars per square foot, of installing x square feet of kitchen countertop is given by: C'(x) = 4x1/3 Find the cost of installing 50 square feet of countertop. Hint: C(x) = f C'(x)dx.

Q: Solve the given equation.. dy dx .Y=xe*, y(1)=e-1 X v(x)= xe X − x y(x)= xex −x2 V(x) = xex +x-2…

A:

Q: 1. What is the maximum of the function H(t)? 2. What is the height of the center of the Ferris…

A:

Q: Find all complementary functions of the equation x³y"" + xy'-y=0, x>0 1, x, x³ 1, xlnx, x2lnx x,…

A:

Q: In each problem sketch the graph of the given function and express f(t) in terms of the unit step…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Let f: R R be a function. Select ALL of the following statements which are equivalent to the…

A:

Q: Complete the following. (a) The graph of y=f(x) is shown. Draw the graph of y=2f(x-1). Continue O…

A:

Q: √ ² √√²-x² √²-x²-y² 0 v) fő 51-x²-y² (1 + x² + y²) dzdydx 0

A: We are given a triple integral. Our aim is to evaluate the value of integral.

Q: Which of the following are solutions to the trigonometric equation tan(x + 2) - 3 = -4 sin(2x − 1)…

A: The Newton's method is an iterative technique which is used to find the approximation of the…

Q: Find the Annihilator of the given function(s) f(x) = cos(2x) + 4sin(3x) a. (D²+3)² b. C. d. D² -3D+4…

A: answer is b

Q: Use Lagrange multipliers to solve for the dimensions of a closed right circular cylindrical can with…

A: The volume of the can is 2π in3

Q: For each of the following series, determine whether the series converges, diverges to ±∞, or…

A:

Q: 15. Kitchen's Contracting determines that the marginal cost, in dollars per square foot, of…

A: The given marginal cost: C'(x)=4x13The cost is given by:C(x)=∫C'(x)dx        =∫4x13dx…

Q: 2a₁b₁ Let A = ab₂ + a₂b₁ abz+azb a₁b₂+ a₂b₁ 2a₂b₂ azb₂ + a₂b3 a₁b3 + c3b₁ a2b3 + a3b₂. Expressing…

A:

Q: From step 1, why is it p(0) and p(1)? Isn't it supposed to be alpha(0) and alpha(1).

A: The objective is to check some variables.

Q: Solve using undetermined coefficients. Use A, B, C and etc. for constants. (D^2+25)y=x^2 cosx

A: Given: D2+25y=x2cosx We have to solve the given differential equation using the method of…

Q: In this assessment, we will employ the group problem-solving process. Given an inhomogeneous…

A: We are given the following equation.        utt+utx-2uxx=t,          ------(1) Now, we will be…

Q: Consider the following multivariate function: CT = (v/C(G-1)/G + (1 - VG)¹/4G G(HG-1)/ra Which of…

A:

Q: Convert the integral So fa+√a²-x²-y²x dzdydx from rectangular coordinates to both cylindrical and…

A:

Q: Solve the following DE: (x² + 2xy-4y²) dx - (x²-8xy-4y2) dy=0 Ox²+4y²=C(x+y) Ox²+2y²=C(x+y) O x² +…

A: Given DE is x2+2xy-4y2dx-x2-8xy-4y2dy=0 The solution is determined as shown below.

Q: A fence must be built to enclose a rectangular area of 20,000 ft². Fencing material costs $2 per…

A: Given area of Rectangle=20,000 ft2 Let  L be the length and b be the breadth of the plot. L×b=20,…

Q: Show that any sequence of positive real numbers either has a subsequence that converges, or else a…

A: We have to show that any sequence of positive real numbers either has a subsequence that converges,…

Q: A bond with a face value of $13,000 and a 4.8% interest rate (compounded semiannually) will mature…

A:

Q: The lengths of the major and minor axes of an ellipse are 10 and 8 units, respectively. Find the…

A:

Q: Q 3: Solve the following differential equations: A) (x + y 1)dx + (2x + 2y + 1)dy = 0. B) (x² +…

A:

Q: 14. Find the consumers' surplus and producers' surplus for D(x) = 71 10 x and S(x) = 35+¹x. 20

A:

Q: You open a brokerage account and purchases 100 shares of a stock at a price of $20 per share. You…

A: Given that, You open a brokerage account and purchase 100 shares of a stock at a price of $20 per…

Q: So So √√₁-x² √1-x²-y²³ (1 + x² + y²) dzdydx 0

A: The given problem is to evaluate the given triple integral over the given limits of integration.

Q: Estimate the error if e-² is approximated by 1-2² +21 in the integral L²e-2². dx.

A:

Q: A 2 kg weight is attached to a spring with constant k = 8 kg/m and subjected to an external force…

A:

Q: Which of the following statements is correct about the set S = 2 3 ··· 2 3 2 4 []}} ? 0 Select one:…

A: The given set S=212, 122, 334, 1-10. We have to check whether the set S is Linearly independent or…

Q: Bank One offered a 14-year certificate of deposit (CD) at 4.76% interest compounded quarterly. On…

A:

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: Here we will find possibilities of each places and then multiply  them to get the total possible…

Q: True or false: Let f: [0, 1] → R be a function with f(0) > 0 and f(1) < 0. Then, for all v E (f(0),…

A: Let f:0,1→ℝ  be a function with  f0&gt;0 and f1&lt;0. Then for all v∈f0,f1 there exist  c∈0,1 with…

Q: Suppose the domain of discourse D is all dinosaurs and w F(x): x had feathers; • S(x): x had scales;…

A: This is a question of Predicate logic. One has to translate the natural language to its logical…

Q: (15 points) Prove the ring Z[√−2] = {a+b√−2 | a,b ≤ Z} is a Euclidean domain with norm 8(a+b√2) = a²…

A:

Q: The region R is sketched below in coordinates coordinates where u = 2xy and v= 2y - x. + -3 -2 3 2 1…

A:

Q: Suppose the supply and demand for a certain textbook are given by supply: p=- 19². quantity and the…

A:

Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

A:

Q: A berry box, sold to contain a quart of berries is in the form of a frustum of a right pyramid 15…

A: Area of the top of the frustum is 15 in2 Area of the bottom of the frustum is 12.5 in2 The height of…

Q: Given the linear transformation defined by T(x) = Ax and A a. Ker(7) b. Nullity(7) c. Range(7) d.…

A:

Q: 2. For each of the following numbers n, provide a Miller-Rabin witness for the compositeness of n.…

A: Given:  a n=15, b n=21, c n=25, d n =35 To find: Compositeness of n.

Q: If the graph of f(x) is concave up, then the tangent line approximations to f(x) near the point of…

A: False

Q: The Wronskian of the function y₁ = 1, y2 = x and Y₂ = x is

A:

Q: Obtain the particular solution. (HOMOGENOUS EQUATION) 4. xydx + 2(x² + 2y²)dy = 0, when x = 0 and y…

A: The given differential equation is, xydx+2x2+2y2dy=0. To Find: Particular solution when x=0, y=1.

Q: Forever 21 is expected to pay an annual dividend of $2.31 per share in one year, which is then…

A:

Q: QUESTION 3 Solve (by hand) the following IVP of order one on x = 0, 0.2, 1 using Euler method. If…

A: Since there are many questions, so find the solution of first question.

Q: Question. 1) The dimension of the subspace of P3 consisting of all vectors of the form at³ +bt2 +…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that every metric space is an Hausdorff space.

A:

Q: Match the formula of the logarithmic function to its graph. Graphs of Logarithmic Functions 4 v Q…

A:

Q: Find the equation y = mx + c

A: To find the line y=mx+c by using least square method.