4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

Q: Find the point on the planez = x + y + 1closest to the point P = (1, 0, 0). Hint: Minimize the…

A: Let Q(x,y,z) be the point closest to the point P. Let D be the distance between these two points.…

Q: 3. Find the average height of a point on the semicircle y =4- x over the interval -2 < x S 2.

A:

Q: Solve the given optimization problem by using substitution. Minimize S = xy+xz + yz subject to xyz =…

A:

Q: The minimum value of n required to approximate x'in(x) dx by composite Trapezoidal rule with an…

A:

Q: Find the length of the curve /- y = Vcos 2t dt from x = 0 to x = "/4.

A:

Q: Find y' for y = vTy at the point (9,1).

A: Given: y=xy ⇒y=x12y12 ⇒y12=x12

Q: -Find the D.f ofr (x, y) = (x² – y)' at Po(3, 1) with

A:

Q: Use the composite trapezoidal rule to find approximations to I = (t- cost) dt with n= 1, 2, 4, and…

A: The composite trapezoid rule: ∫abf(x)dx=h2f(a)+2∑i=1n-1fxi+f(b), where h=b-an,xi=a+ih,i=0,...,n The…

Q: Z=8x+12y subject to 4x+6y>14 , 4x+5y > 9, x20, y20 x=? (2 decimal places) Minimize

A:

Q: The third iteration, when the positive x-intercept of y=f(x) is approximated via the Interval…

A: The root of a function can be calculated using a numerical method. The value of the function is…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to | (-x* + 14x³ – 36z² +…

A:

Q: 8) Find the family Coff esponding to of orthogonal trajectories y=kx".

A: To find the orthogonal trajectories corresponding to below curve.

Q: 7. what is the durivative oF q= arc cSc V1-3X %3D 3 Cz -Gx)I- 7 X 3. C2-6x)1-3x (-3x)-3x 3 C1- 3x)-3

A: First make it in simple trigonometric functions then diffrenciate it and just put all the given…

Q: Find the length of the curve. 33 x = 11t°, y =,, 0sts 3 33 t on 0stsv3 is The length of the curve x…

A: Ans: The length of the curve is 77

Q: 27The platis that passes through the e Point C672) and contains the lihie メー4-2t)X= 345t) Zと+4t 4. こ

A: We have to find the equation of the plane which passes through the given point and contains the…

Q: 2. Use the method of Lagrange multipliers to show that for x, y ≥ 0, we have z"+"> (²+)" 2

A: Introduction: For minimizing a multi-variable function under some certain constraint or constraints,…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: 7  please answer, type the solution if you can please. or write clearly

A:

Q: The first provider can provide at most 5 tons, and the second one at most 3 tons. Finally, in order…

A: (2): Given equation is x≥2y-1 Draw the diagram of domain P

Q: The minimum value of n required to approximate xedx by composite Trapezoidal Rule with an error less…

A: The given integral is ∫02xe-xdx here b=2 , a=0 the error formula for the composite trapezoidal rule…

Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3…

Q: 10, 6J. the Midpoint Rule with timate the folllowing. IL x. v) da How could you improve your…

A: As m=n=2 Therefore let us take the subintervals as: 0,3 and 3, 6 The midpoints od these subintervals…

Q: • Use the trapezoidal rule with n = 14 to estimate: -dx √√1+x²

A:

Q: Find the particular soluti y' + 3x²y = 3x² %3D Initial Condition: y = 6 %3D

A:

Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x, y, z) =…

A:

Q: Q1: Use ewton- Raphson method to estimate the Yoot of fcx) = x -x -1 , emp loying an initial %3D…

A:

Q: Y2-1 dy

A: Follow the procedure given below.

Q: 4. Find the orthogonal trajectories of the family of curves: y = ke* %3D

A:

Q: 2. y = V4-x , x=0 and y=0 about the y- axis

A: Given that y=4-x2, x=0 and y=0 about the y-axis

Q: Identify the transacation of point P x + 3, y + 1). ddf2d92a ddf892d342a ddf892d342a dd1892d342a…

A:

Q: ||| V3(x² + y²)dV, where V is bounded by y = 2x² + 2z² and y = 8.

A:

Q: 8. use the method variation o f parameters to find the general SOlution ot y"+ y =secX

A: G ji

Q: (4) Find the orthogonal trajectories of the family of curves z +y 2C?, where C being %3D a…

A: Note:-    as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Solve for what is asked: 1. Use Simpson's rule with n = 6 to estimate f Vx3 + 1dx. 2. Use…

A:

Q: der to evaluate t son's 1/3rd rule e used at x = 0.C of the error of

A:

Q: Q2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: (4) Find the orthogonal trajectories of the family of curves z +y = 20C?, where C being %3D a…

A:

Q: Find the local minimum ond local moximunm Cit exists) for the funetion fex,ys = 2x? + y? + 8x -by…

A: We have to find the local maximum and local minimum of the functionf(x,y)=2x2+y2+8x-6x+20 we denote,…

Q: 27. Find the length of the curve Vcos 2t dt y = from x = 0 to x = "/4.

A: The given curve is We know that by Second Fundamental theorem of calculus ,if F(x) is continuous on…

Q: At what interval is y=2x4- 4x2 concave downward? Ux> 3 3 3 3 V3 3 <x< 3 3 <x< V

A:

Q: 4. What is the maximum possible error if T4 is used to approximate | f(x) dx f(x) dx

A:

Q: What is dufferential equation of x'=4x-y and y'=-4x+4y when t=0, x(0)=1 and y(0)=1

A:

Q: 5. Derive the least square equation for fitting curve of the type b (i) y=ax += (ii) y = ax to a set…

A:

Q: 2. Use the secant method to estimate the root of f(x) = a° + a³ + 3. %3D By starting with the…

A:

Q: 3. Find general Golution y" + y= Secx

A: Given that, find the general solution y''+y=sec3x (D2 +1)y=sec3x

Q: f(x) = 2x5 + 15x4 - 3x3-4x2+ 7x+ 14 1)Trapeaoidal rule 2) Trape20idal rule with n=2 3) 1/3 Simpson…

A:

Q: The fourth interaction when the positive x-intercept of the y=f(x) is approximated by the interval…

A: As per the question we are given the graph of the function y = f(x) and the statement : "The fourth…

Q: 4.1 Use the trapezoidal rule to find an approximate value for V1+x'dx with n = 4.

A:

Q: How many subdivisions should be used in the trapezoidal rule to approximate S with an error whose…

A: Trapezoidal rule is an integarl used to approximate the area under the curve by dividing the area…

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

A: