Find a set of parametric equations for the tangent line to the graph at t = to. (Enter your answers as a comma-separated list.) r(t) = (t, In(t), √t), to = 1 Use the equations for the line to approximate r(to + 0.1). r(to + 0.1) =

Q: Use Stokes's Theorem to evaluate F(x, y, z) = x²i + z²j – xyzk S: z = √√√4x² - y² F. dr. In this…

A: Consider the given function, Fx,y,z=x2i+z2j-xyzk and S:z=4-x2-y2 Let us consider that ϕ:x2+y2+z2=4.…

Q: f(x)=x(40-x)/(20+9cos(x)) Let the function and the set V=[10,15,20,25,30]. Consider the set W of…

A: First we calculate f(x) by using value of x  Next we use Lagrange formula to calculate the…

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√²-x-√x² + x)

A:

Q: Find the number of ways to break a group of 12 people into 3 classrooms, no empty classrooms.

A: Solution

Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y y = 0,…

A:

Q: ons Used MY NOTES ASK YOUR TEAC Find the periodic withdrawals PMT for the given annuity account.…

A:

Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: To find  The amount accumulated FV in the given annuity account.

Q: Find the matrix A if 2e2t et e²t - et e2tet 2e2t - et 3e2t3et 3e2t-3et et-e2t et - e2t 3et - 2e²t

A: To determine the matrix A , firstly I have taken the derivative on both sides then putting t equal…

Q: Consider the following system. x = ( ¹ )* X 1 5 -59 X Find the repeated eigenvalue of the…

A:

Q: #1. Prove for all integers n, k, and r with n ≥ k ≥r that "CkxkC₁ = nCrx(n-r)C(k-r)

A:

Q: Consider the following two ordered bases of R³: B = C = a. Find the change of basis matrix from the…

A:

Q: Let V be the vector space of all 3 × 3 matrices with real entries, and consider the linear…

A:

Q: Use Green's Theorem to find the work done by the force F(x, y) = x(x + y) i + xy² j in moving a…

A:

Q: f(x,y) = 3 a) what is the range of f? b) sketch the f for K = 0₁1₁2 c) Sketch the graph of f. x² +…

A:

Q: fix AJR TOUR TEACTI Find all relative extrema of the function. Use the Second Derivative Test where…

A:

Q: Q1: (B): sketch the following waveform in(degree, radian, and time) abscissa 10sin (377t +30°)

A:

Q: el3x-6-2, Given: f(x)=[2x - 5], x² - 9, if x ≤ 2 if 2 3

A:

Q: Q₁: Evaluat the integral:- 플 S S. sec (cosx) dx dy Sin y

A:

Q: -1 5 -2 Consider the matrix A= 2 a) Obtain the eigenvectors (v₁, V2, V3) of A. b) Write a matrix P…

A:

Q: 5. Find the work done by F = (x² + y)i + (y² + x)j + ze²k over the following paths from (1, 0, 0) to…

A:

Q: The figure in this exercise shows a horizontal layer of the vector field of a fluid flow in which…

A:

Q: An Internet Service Provider (ISP) offers three plans, High Speed (H), Medium Speed (M) and Low…

A: ISP changing plan using transition matrix A, using the given data set we make transition matrix  A…

Q: If 1.² FLX TRX f(x) dx = 12 and 24 X Enhanced Feedback Please try again. Remember, [² FOX f(x) dx. +…

A: Please upvote if you like the answer.

Q: Use Green's Theorem to evaluate the integral (x² - y)dax + 3xdy where C is the circle x² + y² = 1…

A:

Q: 1. Find the solution for dt² series solution.) - 2t + 4y = 0 with the initial conditions y(0) = 1,…

A:

Q: (a) J sin (x²) x7/2 dx

A:

Q: Refer to the weighted voting system [15: 9,8,7] and the Shapley-Shubik definition of power.   A.…

A: the weighted voting system [15: 9,8,7] Quota = 15 Weight of P1 = 9 Weight of P2 = 8 Weight of P3 = 7…

Q: Express the function as the sum of a power series by first using partial fractions. f(x) =  8 x2 −…

A:

Q: 2x1 + 11x2 38 x1 + X2 ≤7 -4x1 + 5x2 -5° > X1 ≥ 0, x₂ > 0

A:

Q: If f S f(x) dx = 12 and 24 X Enhanced Feedback Please try again. Remember, f(x) dx = 5.4, find 1. FC…

A: Solution:-

Q: Find the volume of the solid enclosed by the paraboloids z = 16 (x² + y²) and z = 8 − 16 (x² + y²).

A: We have to find the volume of the solid enclosed by the paraboloids z=16(x2 +y2) and z=8−16(x2 +y2).…

Q: fydr - 5rdy where C' is the cardioid Evaluate r = a(4 + 4 cos 0) (0 ≤ 0 ≤ 2π). NOTE: Enter the exact…

A:

Q: 5. Determine whether the foll (a) sin (x²) x7/2 dax

A:

Q: Find the general solution of the given system. dx = 3x+4y dt dy = 8x+7y dt (x(t), y(t)) =

A:

Q: [-/1 Points] WANEFM7 2.3.006.MI. 0/7 Submissions Used DETAILS Find the amount accumulated FV in the…

A: Solution:-

Q: Use the ratio test to find the radius of convergence of the power series R= (If the radius is…

A: To find The radius of convergence of the power series by using the ratio test.

Q: Evaluate the integral. 7 √49-x² √49-x²-22 49-x² 1 √²-3³ (x² + y² + 2²)1/2 dy dz dx =

A: Solution:-

Q: Evaluate the line integral 9x²yzds with respect to s along the 2 curve C: x=t, y = t², z = t³(0 ≤ t…

A: We want to find the integral  ∫C9x2yzds Here  x = t, y = t2, z = 23t3⇒ dx = dt,  dy = 2tdt,  dz =…

Q: 1. Solve the given differential equation and find the interval of definition: y' = x²/y

A:

Q: 3. Solve the differential equation and find the interval of definition: xy' = (1 - y2) 1/2

A:

Q: 11-20 FOURIER SERIES Find the Fourier series of f(x) as given over one period. Sketch f(x). (Show…

A:

Q: 1.1.5 A company produces two types of equipment A and B. To produce them, it needs K, L, and M…

A:

Q: 1. Find the general solution of the system of differential equations d -37 -56 26 -X = x+e4t ) dt 30…

A: Consider the given system of differential equation, ddtx=-37-563045x+e4t26-19 Compare with the…

Q: solve the system of equations and please show work 2x-4y+z=-4 -x+y-z=-2 x-2y=-3

A:

Q: Ex/l let fi [1₂1]-> R be function f(x) = 3 x70 2 x < 0 Is the function integrable and Continuous?

A:

Q: 2. Evaluate the following a. log i b. tanh(3 + i) c. (2- i)¹

A: Solution:-

Q: rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola…

A: Given that a rectangle is constructed with its base on the x-axis and two of its vertices on the…

Q: Exercise 15.2.17. Use Exercise 15.2.16 to prove the following proposition: Proposition 15.2.18. The…

A:

Q: 5 IF I F(X). If f(x) dx = 12 and [R 24 X Enhanced Feedback Please try again. Remember, f(x) dx =…

A:

Q: Solve the PDE by using the Laplace transform: ay/ax + xəy/dt = 3x² хду/дт ду/дх Assume that y(x, 0)…

A: We are given the following system.          ∂y∂x+x∂y∂t=3x2y(x, 0)=0,   x&gt;0y(0, t)=0, t&gt;0 Let…