Find the value of d2y/dx2 at the point defined by the given value of t. x = t, y = square root 2t , t = 5   a) 1/10   b) - 1/10 square root of 10   c) - 1/10   d) - 1/square root of 10

Q: Use these 3 methods to approximate , ex dx, n = 8 a. Trapezoid Rule b. Midpoint Rule c. Simpson's…

A:

Q: What is the point of intersection of the given DE (x + 2y – 1)dx – (2x + y – 5)dy = 0 ? Select the…

A: Given,  DE : (x+2y-1)dx-(2x+y-5)dy=0

Q: 1 By using completing the square , dx can be rewritten as /x²-4x – 7 1 VTr- 2)²– 3 1 =dx V(r- 2)? +3…

A: We need to write the following integral by completing the square   ∫1x2-4x-7dx

Q: What is the numerical approximation to 1 3 -dx -1 2+x using the basic trapezoidal rule? (а) 0 (b) 2…

A:

Q: Ifx² + xy +y =7, find the value of dy at the point (1,2). %3D dx

A: Consider the equation

Q: noad Engine dz, C |z-il=2 (d) 군 (+1) dz C:|2| =2

A:

Q: 3y?dx + [2yln () + 3siny] dy = 5x %3D 1, у %3D0 x2+3x +3,

A:

Q: Using the Trapezoidal Rule, an approximate value of 5 V(x + 3x)dx with 5 ordinates, correct to one…

A: Consider the given integral.

Q: a) Find the general solution for UTM dy TM dy +2- dr? dr (1+f) UTM (77 +1)xz² = fip +

A:

Q: '4 I x1/2 dxi n = 8 (a) Approximate its value by using the Trapezoidal Rule.

A: Given: ∫04x dx where n=8 To find: The approximation using the following, a) Trapezoidal rule, b)…

Q: The value of e" dx from 0.2 to 2.2 by using multiple segment trapezoidal rule, n-2 is O 7.8423 O…

A:

Q: Use the Newton-Raphson method to obtain successive approximations of v2 as the ratio of two…

A: Newton's Raphson method

Q: 2. Given that y = (a + bx)e-* where a and b are constants, show that +2 +y = 0 dx2 dx

A:

Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

A:

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: 4,y² – 25 3. dy 4. V21+4z-z? dz

A:

Q: 'ind the general solution and a particular solution by variation of param- y" + y = csc² (x)

A:

Q: solve the bondry value prablem (D2,36/y= Sinbx given ylol0 मि हि

A: See the attachment

Q: ds?--dt? 2tet dx dz +t2" dx? Calculate the tetrad components 7

A: Solu

Q: Evaluate the approximate value of f (2æ² + 2) dæ at n = 3. Solve also for TV and percentage of…

A:

Q: (b) Given y = Ax + Ba?. Show that dy 2x- + 2y = 0. dx2 dx

A:

Q: 3. Check for homogeneity and obtain the general solution. (Let 4C=C) (x² + y?)dx + xy dy = 0

A: We will solve the problem

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on 1. capital…

A:

Q: Use Euler method to approximate the value of y(2.2), given               ay' - by = cx2 + dx   ,…

A:

Q: While evaluating the approximate value of x2 dx, using Trapezoidal rule, taking 3 h = 0.5, the value…

A:

Q: Evaluate 2z dV, where E is the solid hemisphere a + y? + z² 0. E

A:

Q: (b) Consider the IVP, test whether it is exact and solve it. x(x – y)dy = -(3xy – y²)dx y(-1) = 1

A: Given differential equation x(x-y)dy= -(3xy-y2)dx   To test exact or not ,if it is exact then solve…

Q: (a) Use n = 6 subdivisions to approximate the value of 6 Vx + 3 dx by the trapezoidal rule.

A: We need to find approximate value by trapezoidal rule. NOTE - AS PER OURGUIDELINES WE CAN NOT SOLVE…

Q: Eхample : Evaluate the triangle fxy dy - y? dx around the square cat from the first quadrant by the…

A: Given problem is :

Q: The value of fox² dx could be approximated by using Trapezoidal Rule with n = 3. Find the values of…

A: The value of the integration

Q: What is the numerical approximation to -dx -1 2+x using the basic trapezoidal rule? (a) 0 (b) 2 (c)…

A:

Q: (2, 3), dy If x2 + xy = # = 10, then at the point dx

A:

Q: Sahving DES with Homagoneaus Coafficients 2 (2724 y?) dz- xydy- o esson:

A: Rearranging 2(2x2+y2)dx=xydydydx=4x2+2y2xy       =4+2y2x2yxLet…

Q: Find the folution of di fteven tial equation Ufing the variation of parame terg method y - Ily' =…

A: We are given the following differential equation.      y'''-11y'=sec t,  -π2<t<π2 As per the…

Q: y" + y = 0, y'(0) = 0, y' = 2

A:

Q: The point of intersection when the coefficients of dx & dy are equated to zer of the given DDE 『うy」。…

A:

Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² − 15t…

A:

Q: 7.38. Calculate the second moment of area for a 2 × 6 piece of lumber about the x-x and y-y axes, as…

A:

Q: Find the values of "a" such that f(x,t) = e ax + 6t satisfies the equation of 2f ot dx? smallest…

A:

Q: Which integral computes the circumference of the ellipse + y° = 1? %3| 2 16 — За? dx 16 — 4г2 2 -2 2…

A: As we know the differential arc length of a curve is ds=dxdθ2+dydθ2dθ  The parametric equations of…

Q: (a) Evaluate by solving the work for (i) Sxe-*dx.

A:

Q: The number of cars produced when x dollars is spent on labor and y dollars is spent on capital…

A:

Q: Find an upper bound for the error in estimating (5x3 + 2x)dx using the Trapezoidal Rule with n = 10…

A:

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

A:

Q: (a) Use n = 6 subdivisions to approximate the value of Vx + 3 dx by the trapezoidal rule.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the approximate value of + 1) d: using Trapezoidal Rule. Trapezoidal Rules a. Single…

A: Given that,  ∫abf(x) dx = ∫04x28+1 dx a) Trapezoidal rule for single application: ∫abf(x) dx = b-a2…

Q: The Strawhat pirates were running simultaneously at a constant speed of 30km/hr due north of their…

A: The rate of change of value can be calculated using the derivatives. The change in the value of x is…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.