y(3) + y" = 3e + 4.x2 diferansiyel denklemining %3D dy d'y la y(3) dir.) %3D %3D dr3 y" d.x2

Q: Find the canonic analytical expression of the following quadratic form q: R³ → R, q (x) = 6x,²+x,² –...

A: Given quadratic equation is                                              q(x)=6x12+x22-4x32+4x1x3+4x...

Q: Let: ϕ:R → S be a ring homomorphism. Show that if ϕ is the covering and M⊆R is maximal ideal, then ϕ...

A: Given φ:R→S be a ring homomorphism. Let,, φ is covering and M⊂R is maximal ideal.  To prove that φM⊂...

Q: An object is thrown upward at a speed of 109 feet per second by a machine from a height of 10 feet o...

A: Given: Speed of the object which is thrown upward by a machine : 109 feet/sec Height off the ground ...

Q: Show that if A has n linearly independent eigenvectors, then so does A".

A: Show that if A has n linearly independent eigen vectors, then show that AT has also n linearly indep...

Q: a1=2 a2= 6

A:

Q: This question is from the subject Multivariable Calculus.   Use cylindrical coordinates to evaluate ...

A: Substitute x=rcosθ, y=rsinθ and z=z, to convert the cartesian coordinates into cylindrical coordinat...

Q: 5. (Calc-Okay but show work and leave answers exact) A geometry student wants to draw a rectangle in...

A: A geometry student wants to draw a rectangle inscribed in a semicircle of radius 8. If one side must...

Q: a1=2 a2= 6

A:

Q: Find a series solution in powers of x of the following differential equation. 2x2d2ydx2− xdydx + (x ...

A: Assume the general series solution.

Q: Consider the equation: *(t) = [ - - Find the solution of the equation x(t).

A: Given: The equation is x.(t)=0-11-2x(t)+01u(t).

Q: Test for convergence or divergence of the following sequences

A:

Q: Using any method, find the value of F dr if F(x, y) = (3e+ 9ye") i+ (9e + 3xe")j and %3D Tt C: r(t) ...

A: Given  Fx,y=3ey+9yexi+9ex+3xeyjC:rt=sinπt2i+lntj Therefore, ∫CF·dr=∫16Frtr'tdt        (i) Differenti...

Q: a1=2 a2= 6

A: Construct the polynomial with given points are roots

Q: The productivity of a country is given by ​f(x,y)=13.73x0.437y0.563​, where x is the amount of labor...

A: Given function is fx,y=13.73x0.437y0.563 (A) We have to find fxx,y and fyx,y Differentiate partially...

Q: Find the negation of the following statement: "There exists a real number x such that for every real...

A: Given statement: There exists a real number x such that for every real number y we have xy≥0. If thi...

Q: A rectangular garden has a walkway around it. The area of the garden is 2(3.5x + 1.5). The combined ...

A: Given: A rectangular garden has a walkway around it..The area of the garden is 2(3.5x+1.5). The comb...

Q: At the 2012 Olympics, 15 men competed in the 3000m steeplechase.  How many ways can the gold, silver...

A: Given that at the 2012 Olympics, 15 men competed in the 3,000m steeplechase.  

Q: Solve the following initial value problem: Cos(t)² dy 1 dt

A: "Since you have posted multiple questions, we will answer the first question.  If you want the remai...

Q: Let V = {ao+ai x+a2 x² | ao, a1, a2 E R} be a vector space of polynomial up to degree three, and p(x...

A: To show that   <p(x),q(x)>=p0q0+p1q1+p2q2 is an inner product on V  and field is of ℝ, we need...

Q: Let A = {2, 3, 4, 6, 7, 9} and define a relation R on A as follows: For all x, y e A , × R y → 3 div...

A: Let A=2,3,4,6,7,9. A relation R on A as follows, xRy = 3 divides (x-y). List of all ordered pairs in...

Q: Let a be a arbitrary integer. Show that the rest at division of a2 with 4 is either 1 or 0.

A: We divide integers into 4 different class. Then work on each class of numbers. 

Q: Please solve it on paper

A: Given that (x)=16-x2, -1,4 For n=10, h=b-an=510=0.5 The general form for xn is, xn+1=xn+h Take, x0=-...

Q: Question 1, please

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) 2x² – 7х —...

A: To find why the function is discontinuous at a given number a.

Q: please only calculate a) and b). ignore the hint

A: Given: (a) ∫-∞∞ x2x4+1 dx (b) ∫-∞∞ x2(x2+1)2 dx We have to calculate the (a) and (b)

Q: Solve the equation

A:

Q: I am confused in this question...because according to me A does not satisfy the condition of ideal. ...

A: The question is, If R is Euclidean ring,A is its ideal.Show that ∃ an element a0∈R such that A=a0r:r...

Q: Test for convergence or divergence

A:

Q: Related rates

A: Consider the given information. The diameter of the cup is 4 cm. r=d2=42=2 cm The height is 6 cm. So...

Q: Please

A: Given that B=QRQ-1 where, Q is orthogonal and R is upper triangular. Then, multiply Q on both sides:...

Q: pahelp po please

A: Let number of one and five peaso be x and y respectively. Now, total number of coins is 22. So x+y=2...

Q: The logistic function given by f (x) = is a sigmoid (s-shaped) function useful in many 1+e-* areas o...

A: (a) Given that a logistic function fx is defined as: fx=11+e-x which is a sigmoid function and given...

Q: Determine if each function is continuous. If the function is not continuous, find its [x]-axis locat...

A: Given f(x) = -x2+4x-1x≠2-1x=2 We will evaluate the left hand limit at x=2, right hand limit at x=2 a...

Q: need help with following

A: Let T:R2→R2 be a linear transformation. We have to find the matrix T, which is the reflection over t...

Q: a1=2a 2= 6

A: Given :-  A non-zero and non-constant vector function  Fx,y = F1 x,y i +F2 x,y j such that ∂F∂x , ∂F...

Q: Sketch a graph of C versus n for the entire function in a paper-pencil style. Clearly label the axes...

A: Given that, the function is Cn=600+115nn. Sketch the graph of the function Cn=600+115nn as shown bel...

Q: Show that if A is a real number such that A > 0, then the sequence (xk) defined by A 2xk 1 Xk+1 k >0...

A: Given, A∈ℝ, A>0, xk is defined by, xk+1=12xk+A2xk ,k≥0....1x0≥A2  and xk≥0 ∀k≥0 Now,  xk+12-A=12x...

Q: The number sequence a1, a2, a3, .... is defined by a1 = 8 a2 = 24 and recursion formula 4an + 1 −12a...

A: We need to show that an=5n-12n-2 for a1=8 and a2=24  The given recursion formula is 4an+1-12an+5an-1...

Q: Answer each of the following questions involving direct, inverse, joint, and combined variations. Ch...

A: (13-15) Given :-  The distance it takes to stop a car varies directly as the square of the speed of ...

Q: Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargeme...

A: If the scale factor is greater than 1, the image is an enlargement.

Q: can you solve this question please? Thanks.

A:

Q: Create the neighborhood matrix for the graph given below.

A: Neighborhood matrix or Adjacency matrix of a graph: Let G be a graph with vertices V=v1, v2, v3, …, ...

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.