x(t) = 4 + 3t Find a plane through the point (2,-3,7) and orthogonal to the line y(t) = 2 - 3t z(t) =-8-t

Q: If st/d and d = ¹/² what form does the intermediate variable u, that is used to determine the…

A: Given: The values are s=tδ and δ=ε12. To find: The correct option for the intermediate variable u,…

Q: Define freedholm, Volterra and Singular is a solution of the integral equation K g(t) _dt = 1 Vx-t…

A:

Q: and

A: according to guidelines we can solved only first question thank you.   According to given…

Q: Exercise 3.19 (TAYLOR polynomial) Provided is the function f : [-1, ∞) → R with f(x)=√1+x. a)…

A: The given function is f(x)=1+x. (a) To Determine: Taylor's polynomial of degree 3 around  x0=0. (b)…

Q: Show that R^n\0 is connected only for n other than 1 (with the usual topology of R^n).

A:

Q: f(t) = u(t) eosst = u(t)= + (21st 1st) +jst 2 jst [u(t)e + ult) 21st] e F(W) = + [TS(W=5) + +TS(W+5)…

A:

Q: Test for Convergence tF1 (arctan n) 1+n²

A: What is Convergence of a Series: If we add the terms of a sequence term by term, it produces an…

Q: Let the basis vectors be given by a = [3,1] and 6 = [3,3]. Give the image of a general coordinate…

A:

Q: Verify that the functions y1(t) = t^-2  and.   y2(t) = t^-2 ln(t) are solutions of the differential…

A: The general form of a second-order nonhomogenous linear differential equation is given by…

Q: Question 13 Use Mathematical Induction to prove that for all integers n ≥ 1: (1 x 2) + (2 x 3) + (3…

A:

Q: let {f} bacauchy sequence in anormed Space X-Show that there exists as bsequence such that UKEN 11…

A:

Q: Question 4 Use the mehod of Frobenius to obtain two linearly independent series solutions about a…

A: Given below clear explanation

Q: 2. Construct a truth table for: a. (-pq) → (q+r) b. (pⓇq) A (p Ⓡ-q) 3. Show if the following is a…

A: Disclaimer: As per your request, only question number 3 is solved. Please find the answer below.…

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. Carry out the…

A:

Q: The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive…

A:

Q: Variables x and y are connected by the equation y = 3 + ln(2x - 5) Find the approximate change in y…

A:

Q: Problem 8: Prove that three dimentional volume element "dx dy dz" is not invariant butfour…

A: What is Lorentz Transformation: The Lorentz transformations are a family of linear transformations…

Q: Find the general solution of the given differential equation. - y = x² sin(x) y(x) = dx Give the…

A: What is Linear Differential Equation: A linear first order linear differential equation is a type of…

Q: What Hint: if you're confident, you can do this without integrating anything. O O is the complex…

A: Consider the given function, ft=cost Here we need to find the complex Fourier series without any…

Q: Given G = 6.66 x 10-8 C. G. S. unit, c = 3 x 10¹0 cm/sec. M = 1.99 x 1033 gm. Also if in the case of…

A:

Q: Moving to another question will save this response. Question 7 Let A = OOO O w O-1 - N 2 2 (²1).…

A:

Q: Show that the function y = x¹/², x > 0, is strictly concave

A: Given that y=x1/2 Differentiate both sides w.r.t x, y'=12x1/2-1y'=x-1/22 Again differentiate w.r.t.…

Q: 1- y"+y'-2y = x² + e³x what is the particular (nonhomogenous) solution of the given ode? OA) Y =…

A:

Q: find Fot the: f(t) = 35gh (st) - 1 1+jW let: 35gh (34) = 6 ju

A: What is Fourier Transformation: Integral transformations include Fourier transformations. It…

Q: 15 16 17 18 The number of integers between 15 and 100 that end with 4 or 6 is QUESTION 5 2 3 The…

A:

Q: (a) Make use of De Moivre's Theorem to calculate (3√3+3i)5 and leave your answer in the form a + ib.…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: se the graph to determine whether the following atement makes sense. U Smokers 1 A 4 30/ Suffer…

A: Given below clear explanation.

Q: Q3)) Let (Z8, +8) and H=(0,2,4, 6} .Find the normalizer of (H, +8) in (Z8, +8).

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Zeros row in row echelon form matrix should be on the top. O True False

A: Consider the given statement,  "Zeros row in row echelon form matrix should be on top". Definition…

Q: Show that every group G of order n is isomorphic to a subgroup of Sn. (This is also called Caley's…

A:

Q: 7: From an integral equation corresponding to the differential equation d²y dx² dy - sin x- +exy = x…

A: What is Integral Equation: Like differential equation, there is also integral equation. In integral…

Q: This question concerns the vector field F defined in Question 5. (a) State whether F is…

A: Given F=2xz i+2yz j+x2+y2k (a) So, p=2xzq=2yzr=x2+y2 Now, py=0pz=2xqx=0qz=2yrx=2xry=2y So, we can…

Q: If lim (a.) 2 (b.) 4 L(C.) 16 (d.) 64 1+ cx 4, then lim (1+2cx 1-2cx, IS

A: The given limit is: limx→01+cx1-cx1/x=4. To Evaluate: limx→01+2cx1-2cx1/x.

Q: 4. A college conference has total 160 papers, with 25 papers more from mathematics department than…

A: Elimination method: It is a technique to solve the system of linear equations by eliminating a…

Q: Consider the unconstrained minimization problem minimize f(x) where f R²R is defined by : f(x) = x²…

A: As per the question we are given a minimisation problem with cost function f(x) And we have to prove…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Use the mehod of Frobenius to obtain two linearly independent series solutions about a regular…

A:

Q: find F.T the: f(t) = 35gh (36) - FW let: 35gh (34) = 6 0/3 ju

A: What is Fourier Transformation: Integral transformations include Fourier transformations. It…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: Determine which of the following forces are conservative. If a force is conservative, find its…

A: Let us consider the force F→ The curl of the F is obtained as curl F=ijk∂∂x∂∂y∂∂zFxFyFz If F is a…

Q: əc Ət - 8²c əx² kc where k represents the elimination rate. (g) Non-dimensionalise equation eqn…

A:

Q: In Cartesian coordinates, a vector field takes the form F = 2rzi+2yzj + (x² + y²) k (b) Calculate…

A: What is Potential Function: Potential Function is related to a vector field. If there exists a…

Q: a. b. C. List three points in 3-space which satisfy the Cartesian description: [x=2 \y = 5 Write a…

A:

Q: Use Euler's method to obtain a four-decimal approximation of the indicated value. First use h = 0.1…

A:

Q: Solve the given initial-value problem. dy dx y(x) = = x + 4y, y(0) = 6 Give the largest interval I…

A: Given differential equation is dydx=x+4y, y0=6

Q: * J²Z d²z дуг dx²² 1 = tan ³x tany - tanxton³y

A: Given that  ∂2z∂x2-∂2z∂y2=tan3xtany-tanxtan3y

Q: Linear Programming "The Possibility Restaurant Hazel and were food and nutrition majors at State…

A: let fish dinner be x1 and beef dinner be x2 objective function Max z=600x1+800x2 according to…

Q: Use the 68-95-99.7 Rule to approximate the probability rather than using technology to find the…

A: As per guidelines we are allowed to solved maximum three sub-parts so i am solving first three…

Q: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: Show that a function f : R2-R defined by f(x,y)= x3- y3 / x2+ y2, if (x,y) is not equal to (0,0)…

A: What is Continuous Function: A function is referred to be continuous at a certain point in its…