A) Determines the intersection of the lines: r, (t) = (1,4,0) + t(-2,1,1) and r,(s): x = 2- 3s,y = 1+ 4s, z = 2 – s.B) Find the equation of the plane that contains the previous lines. C) Graph the plan of subsection (B).

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

A:

Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: 1. Refer to the hexagon pattern below. ASsume that each edge of the hexagon measures 1 cm. Assume th...

A: H(n) be the function describing  the perimeter as a function of the shape number.

Q: 3. Let P= and Q = . Find the values of a and b such that Pis parallel to Q.

A:

Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital Rulelimx→-13x2+4x+14x-1=3(-1)2+4(-1)+14(-1)-1=3-4+1-4-1=-1...

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

A:

Q: MY NOTES AŠK YOUR TEACHER PRACTICE ANOTHER Use the shell method to set up and evaluate the integral ...

A:

Q: x +1 if r -1 Determine if lim f(x) exists. 2-1

A:

Q: = Z

A:

Q: dy (8y – 2²y) + x – xy² = 0

A:

Q: a, Compute the Laplace transform Lf(s) of the function f(x) = x for s > 0. See Exercises 88–91 in Se...

A: Given that: a. f(x)=xb. f(x)=x2eαx

Q: f(x) = -2x2-2x+4 is %3D x-1

A: Follow the procedure given below.

Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

A:

Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

A:

Q: SITUATION A. For the given DE, (xy+.x- 2y +3)dx +2(x*y – 2x- 2y)dy = 0 1. Solve for the partial of f...

A:

Q: Evaluate the iterated integrals  ∫1 0  ∫1 0 dxdy

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

Q: Test each of the following series for convergence by either the Comparison Test or the Limit Compari...

A:

Q: Express the repeating decimal as a fraction. 0.101010...

A:

Q: sec" y dy- (f) tan y

A: Topic = Integration

Q: Differentiate y = 21/2 4 - x (4 – x³)'"2 -

A:

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

A: To determine the sum of the following series.71⋅3+72⋅4+73⋅5+ ...  

Q: Determine the speed (in meters per second) of a particle with a trajectory (3 sin (3t), 8 cos (3t)),...

A: We have to find dsdtt0=π4

Q: Perform the indicated operation without the use of a calculator and express each answer in decimal n...

A: Topic = Algebra correct option = C

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

A:

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:  

Q: I+ Vr4 – 3r lim -0 1 - Vr+ 3x * + 3r

A:

Q: Find the equation of the plane that contains the point (3, 2, 3) and the line  x = -4 +4t, y = -3t,...

A:

Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

A:

Q: dり me me pag

A:

Q: The reverse variation formula where x is the nonzero independent variable y is the dependent variabl...

A: The  reverse variation formula

Q: A ball thrown vertically downward from the top of a building at a velocity of 64 ft/sec hits the gro...

A: Projectile motion 

Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

A:

Q: 3, use the separatibn of Variables and solve the following equatibn %3D

A:

Q: Evaluate the integrals C f (z) dz, where C is the unit circle centered at the origin and f (z) is g...

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: A projectile is shot upward from the top of a 220-foot building with an initial velocity of -22 feet...

A:

Q: Critique the validity of the expression d2y dy dx2 dx A) It is not valid, because the notation d?y d...

A: The objective is to critique the validity of the expression. 

Q: Please choose the answers from a to i.

A: To choose the answer from the given options.

Q: Express the following functions in terms of function f where y=f(x). Professor Lapan's Helpful Hint...

A: We can solve both the part as below as per the instructions of Professor Lapan's Helpful Hint:.

Q: Question Calculate for the function f (x, y) = 5x - cos (r - y").

A: Using differentiation with rest to x,

Q: Let f(x) = and calculate x(In(x)) f(x) dx by using integration by substitution. What was your substi...

A: Given that: f(x)=1x(lnx)6

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its ...

A: Follow the procedure given below. 

Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4<x<0x2-7x+4,          0≤...

Q: Let R be an equivalence relation on A - {a,b,c,d) such that a Rc and bRd How many distinct equivalen...

A:

Q: HW/Sketch 2x-1 The graph of FLx) = 3

A: This is an exponential function. 

Q: 2х-3 3. у %3 Зx+4

A:

Q: (х + 3)2 dx. J V40 – 6x - x²

A: Evaluate ∫x+3240-6x-x2dx=?

Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8, 3)...

A: Given query is to find the equation of the line passing through indicated points 

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

A:

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: 3 lim tan³ 2x x→0

A: