1 x²+4x+5

Q: If b and c are relatively prime and a / bc then a / b or a /c.

A: Find integers x and y such that: bx+cy=1 ----(A) Then Multiply by a: abx+acy=a Let ab= cq ----(1)   ...

Q: a) If W =(x,y), where x v²-g' and y 2vg calculate W+ %3D

A: We’ll answer the first part of this question since due to complexity. Please submit the question aga...

Q: Determine the domain and range of the quadratic function. (Enter your answers using interval notatio...

A: The given function is fx=x-42+6. Domain: The domain of a function is the set of all input values or ...

Q: Solve the rational equations and check.

A:

Q: Fully simplify. (4V-36)(3/-64)

A: -1 is an imaginary number and is denoted by i. Also i2 is equal to -1.

Q: Find the Integrating Factor of dy OY + 2ytanx = sinx dx O a. sec?x O b. secxtanx O c. secx O d. tan?...

A: Given, dydx+2ytanx=sinx....1 Comparing the given equation with the equation, dydx+Py=Q We get, P=2ta...

Q: Solve (D- 1)'y=o O a. y = ce+C2xe+ c36 O b.y= c,e *+c,xe *+ + C,xeX + O c.y = C1e -

A:

Q: Q3. Using Laplace transform to solve the following differential equation y" + 10y' + 50y = 50 sin 5t...

A: Given the differential equation                  y''+10y'+50y=50sin(5t) with initial conditions y(0)...

Q: Advanced Math Question

A: Note: Since, you haven't mentioned which question you would like to answered. Here, we are providing...

Q: Q5/ Find the volume of the region bounded by the paraboloid z=x*4y and below by the region shown on ...

A:   Given :             The equation of the paraboloid z = x2 + y2             The region is bounded b...

Q: 8. The initial value problem below models a mass-spring system (here µ > 0). 36y" + uy + 25y = 0, y(...

A: (a) So, the problem is 36y'' +25y =0, y(0) =4, y'(0) =-5 Let, y=ekt then, the equation transforms to...

Q: Q2. Find the half range cosine Fourier series of f(x) = 4x² + 2x + 4 %3D in (0, 4)

A:

Q: Please solve it quickly

A: Factor of a matrix: Let,  A=1abc1bac1cab Performing row operations, 1abc1bac1cab R2=R2-R1R3=R3-R1=1a...

Q: Using the method of Lagrange's multipliers, find the largest product of the numbers x, y and z when ...

A: Let f(x,y,z)=xyz with the given constraint g(x,y,z)=x2+y2+z2-9=0 Now, to use Lagrange's multipliers,...

Q: (8) Find the variance of X when X is distributed as N(0, 1). The correct answer is -1 1 -2 N/A (Sele...

A: Given that that X~N(0,1).  

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee ...

A:

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: What are absolute converging, conditional converging and divergent sequences ? Vnln n (n In n)2

A:

Q: Evaluate the directional derivative of the function f=x^2-y^2+2z^2 at the point A (1,2,3) in the dir...

A: Point A(1,2,3) and Point B(5,0,4) ⇒AB→=5-1i^+0-2j^+4-3k^=4i^-2j^+k^ Now we have to find the directio...

Q: QS/ Find the volume of the region bounded by the paraboloid z=x²+y° and below by the region shown on...

A: To find the volume of bounded region we have to find                                                ...

Q: 21.1f A' = 34² where A is n by n matrix, then (a) A= 31 (b) A 31 if rank((A) =n () A" =!1 (d) a and ...

A:

Q: Please sir give me answer immediately

A:

Q: eliminate the arbitrary constant

A: Given y=C1e-2x+C2e3x                                       (1) On differentiating both sides , we ge...

Q: Solve the ordinary differential equation  4x2y” + (1 - 2x)y = 0 . Then evaluate the first four terms...

A: Given equation is 4x2y''+1-2xy=0. That is, y''+1-2x4x2y=0 The indicial equation is in the form  rr-1...

Q: = Prove that E = ehd.

A: We know that Ef(x)=f(x+h)

Q: Represent the following function using unit step functions and find its Laplace transform.

A: Piecewise functions are the function, whose function expression is different in different interval o...

Q: Q2= A) for E= 2xĭ-3Y3+K %3D prove That divc curl È)=0 %3D

A:

Q: Q(1): Find the derivative of following given in attached image.

A: Part A -  We can observe that the power in the expression on the right-hand side contains the variab...

Q: linear algebra

A: Let A be a square matrix of order n. Then ker(A)=x∈ℝn/Ax=0 and Im(A)=Ax/x∈ℝn

Q: How many vertices will a graphs have if it contains 16 edges and all vertices of degree 2

A: Let G be a graph having 16 edges and all vertices having degree 2

Q: Q1 A balloon is rising vertically above a level, straight road at a constant rate of 2 ft sec. Just ...

A: 1 Let the distance between bicycle and liftoff point be xt And distance between balloon and liftoff ...

Q: Salam

A: The percent error is calculated using the formula as follows Percent error = Expected value- actual ...

Q: Answer d and e

A: In this problem we need solve the given inequalities. That is, we need to find the range of values f...

Q: Solve it by using Simpson method

A: Given that, ∫02∫01ex+ydxdy By trapezoidal rule, ∫abf(x)dx≈h2f(a)+2fa+b2+f(b) where h=b-an ∫02∫01ex+y...

Q: Solve the differential equation d2 y/ dx2 + 4y = e3x

A:

Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function 

Q: 120x The rational function f(x)% = models the cost, f(x), in millions of dollars, to remove x% of th...

A: We are given : f(x)=120x100-x, where x is the percent of trash that is to be removed. According to t...

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Consider the recurrence relation: Use iteration to guess an explicit formula for the nth term of the...

A: Substitute k=2,3,4,5... in the relation, ak=2ak-1+3 and generate the sequence. Then, find the formul...

Q: Simplify the expression to a + bi form: (1+ 7i) + (4 – 10i) -

A: The given expression is 1+7i+4-10i.

Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if ...

A:

Q: sin(x) + 2 x4 +1 5. Determine if the integral dx converges or diverges.

A: If the value of integral ∫a∞f(x)dx is finite and unique then integral said to be convergent. Results...

Q: Solve (D+ 1)3y = 0 O a. y = Ce*+c>xe* + czx²e* O b. y = ce-X+ czxe-* + czx²e¬x O c.y = cqe*+c,xe*+c3...

A: Given differential equation, D+13y=0 To find the solution of this differential equation.

Q: Evaluate the following limits:

A: We will use the following results (a) limx→af(x)g(x) = 1∞ then limx→af(x)g(x) = elimx→af(x)-1g(x)   ...

Q: Solve the rational equations and check.

A: Given equation is 3x+4x2=23x2 Cross multiply, we get: (3x+4)×3x2=2x2 Simplify equation by cancelling...

Q: Q3: Find the points on the surface x^2+z^2-6=0, closest to the origin.

A: The distance of the point on the surface is given by d=x2+y2+z2. To obtain the distance insert the v...

Q: find L-1 { 2/(s-2)(s+3)

A:

Q: QI/ Find the curve unit tangent vector and length of the indicated portion of the curve r(t) = (9 si...

A: Here, r(t)=(9sin 2t)i+(6cos 2t)j+5t k The tangent vector is: v=drdt=ddt(9sin 2t)i+(6cos 2t)j+5t k   ...

Q: Q1: A solid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is unco...

A: Prepare the problem as given: Volume covered: f(x,h) = hx2 Restrain: g(x,h) = x2+4hx = 2700 need to ...

Q: How many times do you have to apply Integration by parts technique to evaluate the integration | x5 ...

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.