Verify that the two lines are parallel, and find the distance between the lines. (Round your answer to three decimal places.) L1: x = 2 - t, y = 3 + 3t, L2: x = 3t, y = 1 - 9t, z = 4 + 2t z = 4 - 6t

Q: Trigonometric Substitutions The three basic trigonometric substitutions are in the table below. Inte...

A: Here we have to solve the integral by using trigonometric substitution.

Q: Find the area bounded by the curves y? = 6x and x? = 6y. A. 15 sq. units B. 18 sq. units c. 9 sq. un...

A:

Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: I, Use Stoke's theorem to evalueate S.Fidr, where F Cau2)= - it +x3 + 2î aind C is the Ceurve of int...

A:

Q: evE dx

A:

Q: 2. Let C be the graph of the equation In(3y – 2e*) = sinh (Tx) – tan(y – 1) dy (a) Find dx (b) Find ...

A:

Q: x+1 Evaluate f dx x2 A. 를 (1+즐)를 B.-름 (1+즐)를 c.(1- - - - (1- ) + C + C (1 + 3 + C + C D. 3. A OB C

A:

Q: Calculate the error of approximation E, for: f(x) = v3x + when x = 8. Ax = dx = 0.1

A:

Q: Differentiating Exponential Functions Find the derivative of the function ex + 2 f(x) ex - 2 f'(x) =...

A:

Q: a Disaster Strikes Gridtown: there is a pothole on 8th ave between Seh st and 10th st. How many rout...

A:

Q: Prove that the equation is an identity. 1 - sin 0 = cot 0 cos 0 sin 0 Working from the left-hand sid...

A: Using 1-sin2 x=cos2 x

Q: Calculate the error of approximation with EA for the following functions TC f(x = 4 cos 5x when x = ...

A: We know: lim∆x→0∆y∆x = dydx                                                                         ...

Q: For the given function, find all values of c over the interval (, 22) stipulated by Rolle's f(x) = x...

A: To find the value of "c" by using rolles theorem. 

Q: Decide which of the following properties apply to the function. (More than one property may apply to...

A: Given the function y = 2e-x It is an exponential function.

Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

A: The objective is to graph the functions and find its average value over the given interval.

Q: Let f be a continuous function such that f (x) dx = -7 and 1 f(x) da = -2. What is the value of 3 (x...

A: Given query is to find the value of the indicated integral.

Q: xdx Evaluate Vx-16 Vx2+16) +. Vx2-16 + C A. In In +C C. In In ) x-16 x--16 в. In In + C D. In In + C...

A: Given

Q: Question: * Using integration by parts, integrate S In 5x dx A. xln 5x – x+ c с. 5xInx - х+ с в. х? ...

A:

Q: 2x-5 dx 73

A:

Q: Find a value a > 0 so that the graph of the exponential function f(x) = a" contains the point (3, 1/...

A:

Q: (a) The total reserves of a non-renewable resource are 400 million tons. Annual consumption, current...

A: Given: The total reserves of non-renewable sources are 400 million tons. Annual consumption, current...

Q: A third-order homogeneous linear equation and three linearly independent solutions are given below. ...

A: Given that Third order diffrancial equationy3+2y''-y'-2y=0,  y0=8,y'0=10,y''0=0Solution :y3+2y''-y'-...

Q: Express the sum using summation notation. Use 1 as the lower limit of summation and i for the index ...

A:

Q: Find the directional derivative of the function at P in the direction of v. V2 (i + j) f(x, y) = x³ ...

A:

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: 2) Which of the following expressions is equal to lim (x+h)100-x100, h-0 h A) x100 B) 100x99 C) x99 ...

A:

Q: dx Integrate: J. 3n B. A. EIN

A:

Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x + ...

A:

Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

A:

Q: 4x + 300 A garden shop determines the demand function q = D(x) = during early summer for tomato plan...

A: We have to find elastricity and in small price cause the total revenue to increase or decrease

Q: What are the advantages and disadvantages of piecewise polynomial interpolation?

A:

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: Given graph  

Q: A region is bounded by the curve x? = 4y and the line x=y. if the bounded area is rotated about Find...

A: Volume of revolution

Q: sec22ydy cotzy(3+tan?2y) : 1n(3 + tan?2y) + C D. - In(3 + tan²2y) + C Evaluate the integral: J 1 С. ...

A:

Q: Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f...

A:

Q: (b) Find the direction e of the vector u = .(angle between the positive x-axis and the vector)

A: Topic = vector

Q: x +3 (x + 3)- 1+ 22 32

A:

Q: ds s2V9-s? V9-s2 9s

A: Please refer to the image below

Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y2 + z2 = 26, (1, ...

A: Given problem:- (a) Find an equation of the tangent plane to the surface at the given point.   x2 + ...

Q: Evaluate the integral. 9. t3 J3v2 dt t2 - 9 V3 24 1 8 4

A:

Q: What is the area bounded by the curve x² = -9y and the line y +1 = 0 ? A. 4 sq.units B. 2 sq.units c...

A: I am attaching image so that you understand each and every step.

Q: 2. Suppose g(2) = 8 and g(5) = 512. (a) Write an equation for g(x) assuming it is linear. (b) Write ...

A: Given query is to find the equation for g(x) for linear and exponential modal.

Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

Q: ; Use Gausss D.T. to evalu arte where F=4 xi -zy'i+zk auds is the sarfece bounding the regioh x?+y=4...

A:

Q: Evaluate and simplify the integral +x+3 ad +6xª +9 °

A: This is a problem of integration. Based on the general formula of partial fraction decomposition we ...

Q: Use Cramer's rule to solve the system. 4x- 2y - z= -6 3x - 5y - 5z = -6 = 2 2х- Зу ... Write the fra...

A:

Q: 3n 2n TE S. (sin x + cos y)e dx dy dz A. 2n(e2n + e3) B. 2m(e2 – e3") c. 2m(e + e2") p. 2n(e- e")

A: For the solution follow the next steps.

Q: Use the given information to determine the values of the remaining five trigonometric functions. (As...

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2) co...

Q: the given double integral the indicated Compute rectangle: ex 4x-1 over SS- dA R = [-1,0] x [1,2] A....

A: Let's find. 

Q: Find tan x dx.

A: