Find the unit vector i in the direction of the vector v = (6, - 1). Type your answer in component form, < a, b> (where a and b represent some numbers). Round all numbers in your answer to 2 places after the decimal point.

Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A:

Q: How much money must you invest now at 4.5% interest compounded continuously in order to have $10,000...

A: We know continuous compounding formulaP(t)=P0ert where value at time t P0=principal amount r= annual...

Q: Please choose the answers from a to i.

A: To choose the answer from the given options.

Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder. ...

A:

Q: (y? cos x - 3x2y - 2х) dx + (2y sin x - х3 + Iny) dy %3D 0, when x 3D 0, у %3D е

A:

Q: (8,7,11) Figure 1 Figure 2 A(n) 3 in x 12 in piece of cardboard has squares cut out of each corner i...

A:

Q: Use a 45°-45° right triangle to find the exact value of the following trigonometric expression. cos ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the radius of the circle i...

Q: Determine whether the integral is convergent or divergent. The integral from -2 to 14, 7/(x+2)^1/4 d...

A: integration ∫-2147x+214dx

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 ey =x? - y? y' = y' (3,0) =...

A: Let's find. 

Q: A recipe calls for 4 of a cup of flour to make one batch of doughnuts. If Cecilia wants to make 9 ba...

A:

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: Determine whether the equation defines y as a function of x. Please show all the detail steps of you...

A:

Q: tan x sec xdx

A: Follow the procedure given below.

Q: Given the matrix A= 3. Find 1. 2. QR factorization of the matrs A.

A: NOTE: Refresh your page if you can't see any equations. . 3 column vectors of matrix A are

Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A:

Q: If a = [5,-2, 4], b [0, 2, -3], and c = [1, -2,1], find a xb.c -22 38 O(-2, –30, 10] 0.

A:

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The ...

Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the poi...

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.

Q: paxt9_ dx 2X1 hーメクナでメ

A:

Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: A stadium has 55,000 seats. Seats sell for $28 in Section A, $16 in Section B, and $12 in Section C....

A:

Q: Let S(z) = {-3z? + 5z for z 0. 3z2-2 According to the definition of the derivative, to compute f'(0...

A:

Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

A:

Q: 6) Complete the list of all important integrals in the table. 1. [ u"du = 2. = np- 3. [ e"du = S e'd...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: sinh(2 In(c)) = (A) 를 + (B) c² – (C)를 높 2c 1 2c2 (D) c -! 1 (E) 0

A: Topic = Functions

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

A:

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x = Iv...

A: Topic:-  trigonometry

Q: x(x²-x+2) dx is equal to 3

A:

Q: 16 Evaluate ex12 (x4 – 2x² + 1)²dx. 81

A:

Q: Use the Laplace transform to solve the initial value problem y" + 4y' + 3y = 0 y(0) = 2, y'(0) = –1 ...

A:

Q: divergent. If it is convergent, find its sum. n=0

A:

Q: Get the derivative of dz/dx. XY z =

A: Here we will find the derivative dz/dx,

Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: Consider the following Tarski world (same world as the previous question, but different questions): ...

A:

Q: Find the least common multiple (LCM). 45, 56, and 150 O A. 12,600 О В. 1,050 С. 1,260 O D. 2,520

A: We can find the LCM as below.

Q: me pung Find ow and dw for fihe folloing fune W=メboi (xャロ) %3D メ+リ

A:

Q: Let P = (x, y) be a point on the graph of y = VI+3 (a) Find a function d(x) for the distance from Pt...

A:

Q: 1) In Problems 1 through 4, given f(x) = 3× , g(x) = eX, h(x) = In x. Use Dr. Dai's Differential and...

A: Topic:- derivatives

Q: A model for tumor growth is given by the Gompertz equation = a (In b – In V) V where a and b are pos...

A: Given:  A model for tumor growth is given by the Gompertz equation, dVdt=aln b-ln VV, where a and b ...

Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A:

Q: is Convergent divergent. Evahate Determine whether each those that are integral or Converyent. 1 dx ...

A: The given integral,        ∫0414-xdx

Q: Find the General Solution: y" - 3y' + 2y =4e ** -4x

A:

Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

Q: Use a system of linear equations with two variables and two equations to solve.   287 students enr...

A:

Q: Explain why the function is differentiable at the given point. Then find the linearization L(x,y) of...

A: The given function is: f(x,y)=y+sinxyGiven point is:  P=(0, 3)

Q: 33. For what values of x does the graph of f(x) = x +2 sin x have a horizontal tangent? %3D

A: We need to find values for which the function have horizontal tangent.

Q: A volume is described as follows: e2.2x 2.2x2 + 0.4 and x = 13; 1. the base is the region bounded by...

A: