(D²-5D-6)y= 18x² + 12e²x (by Method of Undetermined Coefficients)

Q: 2. (a) How many lines of symmetry does a regular octagon have?

A:

Q: C is the intersection curve between the paraboloid z=x²+y² and

A: Given that C is the intersection curve between the paraboloid z=x2+y2 and the cylinder x2+y2=1.

Q: * Please write explanation and don't use calculator Consider a damped spring-mass system with ? =…

A: Given,m=1kg, k =4kg/s2 ,b =5kg/sand ω=2rad/s

Q: 5.) m<s

A: This is a problem of angular measurement and finite math.

Q: -losed E

A: Volume enclosed by hyperboloid z=1+x22+y22 under the plane

Q: X + y = 6 2x - y = 0 Solves using the substitution method

A: We need to solve the system of equations  x+y=62x-y=0 using substitution method

Q: dy-x+y+2 10. Solve the differential equation = if the solution curve passes dx - x + y + 3 through…

A:

Q: 5. The amount Q(t) measured in milligrams of a prescription medica t hours after ingestion is…

A: The amount of medicine in the body after time t hours is: Qt=5000.75t The general form of decay…

Q: Q5: Use the quadratic interpolation and the following data to find f(1.4) X 1 1.2 1.3 F(x) 0.368…

A:

Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

A:

Q: VI. Find (a) Fourier Cosine Series (b) Fourier sine Series of the following using Half-Range…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Derive a three-point formula of order O(h²) to approximate f'(zo) that uses f(xo-h), f(ro), f(xo +…

A:

Q: Consider the following statement.       "If (n+1)2 is an odd number then n is an even number." (a)…

A:

Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

A:

Q: D. Suppose p, q, r, s are propositions such that p^q is true and rv sis false. Determine the truth…

A: We know that,  A∧B is true if and only if both A and B true  A∨B is false if and only if both A and…

Q: DEICH Q2: If P(A)=0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the following…

A: To find the given subparts using the given condition :-

Q: Q₁: Find indicated partial derivatives дz a) yz = ln(x+z) ax อใน b) u = √r² + s², r = y + xcos t, s…

A: This is a problem of partial differentiation.

Q: 1 4. Given the functions f(x)= -()* and f₂(x)= 10 fi increases rapidly than f₂ fill in the blank…

A:

Q: Q1: A craftsman has three identical boxes, each with two identical drawers. In the first box, one…

A: We have to use Bayes theorem  In Bayes Theorem we find the posterior probability using the…

Q: How many positive integers less than 1,000,000 have a digit sum of 5

A: We have to find the number of positive integers less than 1,000,000 have a digit sum of 5. We know…

Q: Evaluate  f '(3). Also, find the two-point forward difference, two-point backward diffrence and…

A:

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Given: y=x3+2 To find: Area of the surface obtained by revolving the curve on the interval 1, 8…

Q: > Let f be integrable on the interval [a; b] and let F be the integral function of f belong Theorem…

A:

Q: A mass of 1.25 kg stretches a spring 0.08 m. The mass is in a medium that exerts a viscous…

A:

Q: (a) f(x) = sin(x) X at x = 0.

A: a.the function is not defined at x=0. The function has right hand and left-hand limits same and…

Q: Exercises: 1. An object moves in space with acceleration. +4j+(4-t)k. alt (t) = -ti When t = 0, it…

A: i. Here we have given that the acceleration on an object is, at=-ti+4j+4-tk we know that, vt=∫atdt…

Q: Evaluate the integral (t³ In ti+ 3t³ sin (t) j+k) dt.

A:

Q: Use induction to prove that Σmn1(2j + 1) = 3η2 3n²

A:

Q: Obtain the solution of the following differential equation y"-4xy' +(4x² - 2)y = 0

A: We have to find solution of given differential equation  y''- 4xy' + (4x2 -2)y = 0

Q: (b) In the figure, AOC and BOE are straight lines. Angle A and angle B are equal. ED is equal to CD.…

A: Given: In the following figure, AOC and BOE are straight lines. Angle A and B are equal. ED is equal…

Q: wer contain e drawer c x, one draw

A: Given information: There are 3 boxes and 6 drawers in them. Each box contains two drawers where…

Q: 7) A tumor is found with an initial mass of 3.5 grams. Its growth rate is measured and recorded in…

A:

Q: [(x² - 2xy)dx + (x²y+3)dy ans: Verify Green's Theorem in plane for c of the region defined by y² =…

A:

Q: The diagram shows the curve y = ex and the tangent drawn at x = 2. AY X

A:

Q: Q5/ Use double integration in Polar coordinates to find the shaded area in figure (the area inside…

A: The area is A=2∫π6π4∫2 cosθ2 sin2θr dr dθ We now evaluate this: A=2∫π6π4∫2 cosθ2 sin2θr dr…

Q: 1. Given the system of linear equations, X + y Z 2, + 2y + 3z X 5, 2x + 3y + (m-3)z m, where m is a…

A: Augmented matrix AB is obtained by adjoining the constant column matrix B to the coefficient matrix…

Q: COCTEL Q2: If P(A) = 0.25, P (B)=0.45, P (AB)=0.43, draw the Venn diagrams and determine the…

A:

Q: 6-Assuming that the following fixed-point iteration converges 3 Ik+1= 17 (2) 2 a-√3 c-√√5 Ik + to…

A:

Q: Set up only a triple integral that will give the following: Use dV= r dz dr dº the volume of R using…

A:

Q: (b) In the figure, AOC and BOE are straight lines. Angle A and angle B are equal. ED is equal to CD.…

A:

Q: Use proof by contradiction to show that, "The sum(s) of an irrational number(i) and a rational…

A:

Q: 38. 1 2i + z

A: Given: The complex function, 12i+z.   To determine: The power series (about the origin) of the given…

Q: 1. Consider the groups (R+, ) and (R,+). Then R* and R are isomorphic under the mapping $(x) = log10…

A: We use the definition of cosets, isomorphisms to answer these questions. The detailed answer well…

Q: Q4\ Find the average value of f(x,y) = (+√y) where 0≤x≤y and 0 ≤ y ≤ 4.

A:

Q: 1. Use de Moivre's theorem to find all solution to 25 +32 i = 0. Give the solutions in polar form…

A: Note: According to Company Guidelines we are providing the answer of first question. Kindly post…

Q: Write an equation for the transformation of the parent function. 6 4 8 2 g(x) = -(x-4)³ + 2 O g(x) =…

A: As we can see that the red line represents the cubic function. So, from the graph, it has the parent…

Q: 1. Find the linear regression у 0.7 0.19 0.96 0.21 1.13 0.23 1.57 0.25 1.92 0.31

A:

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer (1) p²x+q²y=z z =…

A:

Q: Consider the function v(x, t) that satisfies the PDE vx + 8xvt=0 for x>0 and t> 0, and the initial…

A:

Q: 4. Given the functions f₁(x) = (2) • £.(+)-(!) and 12(x)-(+) = 10 f₁ increases rapidly than f₂ fill…

A: