2. A manufacturer sells his notebooks for P41.75 and his cost in producing each notebook is P35.25. What is the markup?

Q: E G D H Consider the graph given above. Give an Euler path through the graph by listing the vertices…

A: An euler path in a graph is a path that consists of all the edges only once.

Q: 5. y"-y=1-H(t-2), y(0) = 1, y'(0) = 0. +28(+ 2) (0) 101206 0 (0)7

A:

Q: Find the second order Taylor approximation of the function f(x,y)=3e* sin y + 5x-2y near the point…

A: We are given that      f(x, y) = 3ex sin y + 5x - 2y   => f(0, 0) = 3e0 sin0 + 5×0 - 2×0 = 0…

Q: Estimate the multiplicity of the root near -6.88732 of the equation x¹ + 11.8x³ +21.21x² - 80.24x +…

A: Estimate the multiplicity of the root near -6.88732 of the equationx4 + 11.8x3 +21.21x2 - 80.24x +…

Q: 7.) Find the area of the region bounded by the graphs of the equation given below. 2 y = (x - 2)²…

A: (.)   Area of the region bounded by the graph of  y=x-22 and  y=4-x2  . Then area is given by ,…

Q: Solve the system of equations. If a system has one unique solution, write the solution set.…

A:

Q: Draw a Venn diagram and use the given information to fill in the number of elements in each region.…

A:

Q: Let hn denote the number of ways that a 1×n rectangle can be tiled with red, blue, green, and yellow…

A: Let hndenote the number of ways that a 1×n rectangle can be tiled with red, blue, green, and yellow…

Q: 4. Suppose a heated open-air tank is fed a salt solution with concentration 3 lb/gal via pipe at a…

A: First one must model the problem through an Initial Value Problem.

Q: What is the surface area of a hyperbolic paraboloid described by parametric eqn: z = xy, where x,…

A: The surface area of a hyperbolic paraboloid described by the parametric equation z = xy, where x = u…

Q: {5t sin²t}=

A: We have to find the L{5tsin2(t)} We know that sin2t=(1-cos2t)/2

Q: 2. (Fredholm Alternative) Let A € Rmxn and b = Rm. Show that (I) either the system Ax = b has a…

A: This question aims to prove that for any given real matrix A of size m*n and a vector b of size m,…

Q: Suppose the daily supply equation for noise cancelling wireless headphones is given by D-S(x) - 90 +…

A:

Q: Let S be the surface parametrized by r (u, v) 0 ≤ ≤ 27. What shape is S? a sphere part of a sphere…

A:

Q: Prove that: (A) = {1,2,3,6,7,8) and (BC) (AG) = {2,3,6,7). Show each step in your proof.

A: AUB=elements in A or elements in B. A intersection B= common elements in A and B. A©=All the…

Q: #1 find two other pairs of Polar Cook dingtes of the given Point Cooksinate X70 a) (V₁0) (70 and rco…

A:

Q: The matrix A₁ = -4; 7₁ A = has the following eigenvalues and eigenvectors = -6 (₂₂) 2 2 3 (-1); A₂ =…

A:

Q: (2k

A:

Q: Circle O shown below has a radius of 5 inches. Find, to the nearest tenth, the radian measure of the…

A: A circle of radius 5 inches . An angle x forms an arc whose length are 4 inches  To Find: The…

Q: Assume that x,y,z and b(b)!=(1) are positive numbers. Use the properties of logarithms to write the…

A: The given logarithm expression -3logbx-2logby+12logbz. We have to rewrite the given expression.

Q: Find the flux of F= ²7 + x³z³7 + 3xzk out of the closed region bounded by the planes z = 0, y = 0, x…

A:

Q: 5. The matrix A has an eigenvalue of -5 with corresponding eigenvectors eigenvalue of 7 with…

A: The two eigenvalues of the matrix are -5, and 7. The corresponding eigenvectors for eigenvalue -5…

Q: Consider a vector space V = span basis for V? REH [ {} 1-81-8} ONT 3 } Which one of the following is…

A:

Q: Solve the system. If the system has one unique solution, write the solution set. Otherwise,…

A: I have explained everything with in the solution. Please go through that

Q: Show that ||v||≤||v||₁||v|| about 1¹, 1², and 1 vector norms.

A:

Q: The bookstore marked some notepads down from $2.00 but still kept the price over $1.00. It sold all…

A: An Integer is any number in the set ···,-3,-2,-1,0,1,2,3,···. Integers comprise natural numbers 1,…

Q: After the drug reaches its maximum concentration, how many hours are required for the concentration…

A: Concentration reaches maximum at x=2 hours. For the concentration to reach 16mg/L, Identify point at…

Q: 7. Prove that a Laplace transform is a Linear Transformation. Recall that a Linear Transformation of…

A: We know, for a function f(t), the laplace transform is defined as      L{f(t)} = 0∫∞ e-st f(t)dt

Q: Consider the autonomous differential equation = P(100P), which could be used dt to model the number…

A: Since you have posted a question with multiple subparts, so we will solve only the first three…

Q: Question 3. In this problem show that, if we take two different regular surface patches for the same…

A:

Q: hat value(s) of b can 3 be written as a linear combination of 8 (120)} -2 b

A: For value of b we find when the system have unique value .for this we do the determinant of given…

Q: Yt+2Y(1 + a)yt+1 + ayyt = Go α = 1 글 Y = 9' Go = 1

A: The difference equation yt+2-γ(1+α)yt+1+αγyt=G0withα=1/2γ=8/9G0=1 We use the value of parameter to…

Q: Let S be the unit sphere centered at the origin. What is ffs (3+2) dS? (Use syntax like 2*pi/3.)

A:

Q: 1. a. Calculate the exact value of the Riemann Sum for f(x)= on the interval [1,3]. Use n = 4…

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Q: You want to find an approximation of the true solution r of the equation f(x) = 0 with an absolute…

A: The required absolute error should be below 10-5. The approximation error is xr. So, this yields:…

Q: f(2)= 1 N² (1-2) Separate laurent expansion of the function Z(1-2) according to the powers of z and…

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Q: Classify each singular point (real or complex) of the given equation as regular or irregular. (t² +…

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Q: Let B be the standard basis of the space P₂ of polynomials.Use coordinate vectors to test whether…

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Q: Find the eigenvalues and corresponding eigenvectors for 2 -2 3

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Q: Use Stokes's Theorem to evaluate F. dr. In this case, C is oriented counterclockwise as viewed from…

A: We have to find the value of ∫cFdr using stokes theorem

Q: Joey took examinations in Algebra, Physics, Chemistry and English and scored 84, 79, 88 and 93…

A:

Q: Find the general solution of the following differential equations: (a) (b) (c) xy³dx + ex²dy = 0 dx…

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Q: 6. y" - 2y + y = t²8(t-3), y(0) = 0, y'(0) = 0.

A: An inhomogeneous Differential Equation is given. One must solve it by Laplace Transformation.

Q: Let S be the part of the graph of the function x² + y² that lies above the disk x² + y² ≤ 4. What is…

A: The surface is the part of z=x2+y2:

Q: Evaluate the line integral, where C is the given space curve. [xerza xez ds, C is the line segment…

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Q: juices will be packaged in 2-qt (64-oz) cartons. One carton of pineapple-orange juice requires 7 oz…

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Q: 3. Use algebra of propositions to show that (p ^ q) V (p^~q) → p

A: p∧q∨p∧~q↔p

Q: Arguing geometrically, find all eigenvectors and eigenvalues of the linear transformation below.…

A: Find the eigen value and eigen vector of the given linear transformation:Find an eigen basis and…

Q: Note: N(A) denotes the null space of the matrix A, while R(A) stands for the range of A, viz., the…

A:

Q: ii) 1₁ = √9n²+n- 3n. In = 2.

A: