AB5: Use a left Riemann sum with the three subintervals indicated by the table above to approximate SP P(t)dt.

Q: (b) Find the differentiation of tan 4√√x 1-4x

A:

Q: 2. Consider the plane z = 4 - x - 2y. (a) Please find the distance from (1,0, −2) to a point (x, y,…

A: The given plane is z=4-x-2y To find: (a) the distance from (1,0,-2) to the point (x,y,z) on the…

Q: Q4. Differentiate term by term the power series E-o(x-7)". dy Q5. Solve: = y² (1+x²), y(0) = 1. dx

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: H.w 3: Apply the Trapezoidal rule to evaluate SiSit 2xydxdy (1+x²)(1+y²)' taking h = k = 0.25. 110 +…

A:

Q: 4: Which of the following functions has gradient vector [4x₁x₂2 2x² 3x3]¹? A: f(x) = 2x³ + 2x³ +…

A: To find: Which of the given functions has the gradient ∇f=4x1x2  , 2x12, 3x32T.

Q: 5. Evaluate the following integral [² 2x cos² x dx by using Trapezoidal's rule with 6 subintervals.…

A:

Q: Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x…

A:

Q: 3x + 2y = 4 2x − y =-9 x + 3y = 13

A: We have: 3x+2y=42x-y=-9x+3y=13 This can be written as: 322-113xy=4-913 The augmented matrix is…

Q: Solve the differential equation y" + y = 0 y(0) = 1, y'(0) = −1

A:

Q: An investor has $683,000 to invest in bonds. Bond A yields an average of 6% and the bond B yields…

A:

Q: 1. A system is composed of a rod and a disk, as shown at t = 0 below: 6 -6 4 6 -2 -4 -6 The axes…

A:

Q: A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29° and 53° with…

A: We have to find tension in cable.

Q: ii) You invest $10000 in a mutual fund which grows at a certain percent every year. After 8 years…

A: The uniform rate of changing is the part of mathematics where the number is changing continuously at…

Q: Q₁. A: Find x²dx by using Riemann integral. √x=0 Q, B: Let f' be a continuous function on [a, b].…

A: Lets solve both questions

Q: 2. Find the root of the function/ (Take the tolerance as 0.01) 4 by using the Newton-Raphson Method.

A: The given problem is to find the approximate root of given function using the Newton raphson method…

Q: 2. The diagram below was created using equilateral triangles congruent to ABSR. If OS=a and OT=b),…

A:

Q: 9. Wolves were removed from Yellowstone National Park in 1926. After the wolves were gone,…

A:

Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).

A:

Q: 7. By separating a) b) the variables convert the PDE into a system of ODES Sem азт а т + д?хду дхду…

A: By the seperation of variable we consider the unknown is the product of two functions one is the…

Q: gi are stuck in Borderland and are now asked by t olves 4 doors. Arisu must decide between the lig…

A: "Nash equilibrium is computed from a payoff matrix which represents the payoffs of each players from…

Q: an upper bound for Erl and Es

A: The given integral is ∫0π sin t dt To find: (a) the value of integration by Trapezoidal and…

Q: 11: Given the function f(x) = 8x² - 4x₁x₂ + 5x² and Xo = [5 2]. Then G-¹g at Xo is equal ((G is the…

A: The given function is f(X)=8x12-4x1x2+5x22, X0=[5,2]T. To find: G-1g at X0 where G is the hessian…

Q: 1 The polynomial p(x) = ax + bx²-3x -4 has a factor of 2x-1 and leaves a remainder of -10 when…

A: Let us consider the polynomial p(x) When p(x) is divided by s(x) Division algorithm…

Q: 1. Find the numerical Integration of cos(x) + sin(x) where n = 4 using trapezoidal rule.

A:

Q: Let f be differentiable on the interval (a, b) and f'(x) < 4 for all x € (a, b). Then prove that f…

A:

Q: If NG and both G and G/N are soluble, show that G is soluble.

A:

Q: (x) = 6x³-5x² + ax + b has a factc x-1. = 40 and find the value of a.

A:

Q: Find the volume and the dimensions of the largest rectangular box in the first octant with three…

A:

Q: I want to know that the solution of below follows a = a₁v + a2v0 where v is…

A:

Q: Solve the following boundary value problem for the Laplace equation using the method of separation…

A: Let uxx+uyy=0   ……………………………(1)u(0,y)=u(x,b)=0 ,  u(a,y)=u(x,0)=1 Let the solution of equation(1) by…

Q: (b) Find the following integrals: i. f(4x³+ sin x) dx. ii. ₁²(x²+)dx.

A:

Q: X = 1 + 6t y = 2 + 4t, ter z = 2t A line is defined by the parametric equation L : If the point (a,…

A:

Q: The angular position of a point on a rotating wheel is given by 0-4.65 +8.95t2 +4.09t³, where is in…

A: angular position of a point on a rotating wheel is given by θ=4.65+8.95t2+4.09t3 where θ is in…

Q: k It is known that ( + (₁ ²₁₂) + (k) = (²+¹) (k + 1). Prove that r - 2 (k) + ( k + ¹ ) + ( k + ²) +…

A: We will use given formula and value of nr . nr=n!r!×n-r!

Q: The particular solution of the differential equation y" + 2y′ − 3y = 5e²x (Select one) a) yp = e²x…

A: Here we can use operator method to find the particular solution of the differential equation. In…

Q: Find the complete integrals of the equation (p² + q²)y=qz

A: We know that , First order non linear partial differential equation has the form ,  fx , y , z , p ,…

Q: If u and v are the two solutions of d'y dy dx² + P + Qy = 0 dx uv₂u₂v + P (uv₁ - u₁v) = 0 (uv₁u₁v) =…

A: The given differential equation is d2ydx2+Pdydx+Qy=0.....(1) To prove: (a) uv2-u2v+Puv1-u1v=0…

Q: -2 -5 -2 Let A = 3 5 -2 Find the third column of A1 without computing the other two columns. 1 3 3…

A:

Q: 2: The function f(x) = x² + 2x² + 3x² + 4x₁x₂ + 5x₂x3 + 6x₁x3 can be written in the form f(x) XTQX…

A:

Q: Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 rove that f is Riemann integral. X≤0 x < 0

A:

Q: Graph. Given the discrete-time signal sequence, plot the following into graphical form. 1. x[n] =…

A:

Q: 2. Solve the following cryptarithms. In each problem, letters represent a single digit only. a)…

A: Given the cryptarirhms puzzle a) HE2=SHE B) WRONG   +WRONG     RIGHT We have to find digit the value…

Q: mperature T of a heated circular plate with the origin being at th 64 T(x, y): = x² + y² + 2 point…

A:

Q: 3.₁ Don takes out a 10-year loan of L, which he repays with annual payments at the end of each year…

A: Given: L=100Da10|i To find: Value

Q: companies that sell identical products. Compan or Php 27. Meanwhile, Company 2 can sell the e…

A: Game Theory is the study of decision making strategies of two individuals or agents where their…

Q: The polar equation r(0) = 4 + 5. sin(0) is graphed below. 15- 14 13- 12 11 10- 9 8 7 6 5 O 4 3 2 10…

A: Please see the type syntax

Q: Create a proof for the following argument 1. P v (Q⊃R)   2. (S v L) ⊃(Q * X)   3. Q ⊃~P   4. S…

A: We prove the given argument by using rules of inference.

Q: Consider the vectors x¹)(t) = ( 6 ) and x 1 x(²)(t) = ( ² ). 4t (c) What conclusion can be drawn…

A: Let us start solving the problem step by step

Q: The graph of the function f(x)=cotxf(x)=cotx is given above for the interval x∈[0,2π]x∈[0,2π] ONLY.…

A: One sided limit of a real valued function comes when the independent variable moves towards the…

Q: x = 1, y = 5 X₁-2, ₁-3, Given x. -4, y. -1 (a) Use the Lagrange interpolation method find quadratic…

A: