8. The line given parametrically by r(t) = (1+2t, 2+5t, 1– 3t) for t E R passes through a plane at the point (1, 2, 1) and this line is perpendicular to the plane. Find the equation of the plane. Write your final answer in the form ar + by + cz = d.

Q: Approximate (26)"3 by using a linear approximation.

A: (26)1/3 y= f(x) = (x)1/3 When  x=27, f(x) = 3   x + Δ x = 26 Δx = -1;   f(x+Δx) = ?

Q: Show that rejst =rcjs(-0)

A:

Q: X(Ux)-(sinhusinhv,sinhuceshv,sinhu) X= :(coshu sinhv,coshucoshv ,coshu) ne vsinh ugoshv,sinhu sinhu…

A: Product of two vectors using hyperbolic identities

Q: у 3D Vx — 2 А. Domain: х >2 Range : y 2 Range : y 20 С. Domain: х > 0 Range : y > -2 D. Domain:х>…

A: Domain and range of a function

Q: x1-3x2+2x3 x4 + 2x5 = 2 3x19x2 +7x3 x4 + 3x5 = 7 2x1-6x2+7x3+4x4 -5x5 = 7

A: The system of linear equations are: x1-3x2+2x3-x4+2x5=23x1-9x2+7x3-x4+3x5=72x1-6x2+7x3+4x4-5x5=7 To…

Q: Solve the equation: u a uxx 0 0 u(x, 0) = f(x), u(0, t) = u(L, t) = 0_ %3D

A:

Q: 10

A: Evaluate the integral ∫4x4+310dx

Q: 2y" + 3y' - 2y = 3xez* - 2sinлx (Use Method of Undetermined Coefficients (MUC))

A:

Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: Please don't handwriting solution

A: Step 1:Here, the given significance level is 0.10.α=0.10 The sample size is 13.n=13 H1​:μ>μ0​It…

Q: Study the scenario and complete the question(s) that follow: Separable Equations A chemical solution…

A:

Q: Q2/ solve to find y and x, take y(0)=0 and x(0)=0 ý + y- 0.5x = 0.5 %3D * + 0.5x = 0.5

A: For the equation x˙+0.5x=0.5 or dxdt+0.5x=0.5 calculate IF: IF=e∫0.5dt    =e0.5t

Q: (4, -2), (-1, 4)

A:

Q: Find the solution of the equation (D – 2D + 10)y = e" by using the operator method.

A:

Q: 2. Z=f(x,y)= Zx- 2xy+y" %3D h-Xン)1 2x<yミ4,05x<2 Find absolute max and min Draw a a graph

A: We will manipulate the constrained inequalities to form the function f(x,y) and from that we will…

Q: 2. Can there be flow across a streamline? Why?

A: There is no flow across a streamline.

Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

A:

Q: Establish the validity of 9. Exportation [(P^ Q) = R] = [P = (Q = R)] T T. T F F

A:

Q: hi can solve for Cartesian coordinates (Do not solve the integrations)

A:

Q: A company manufactures cylindrical metal drums with open tips with a volume of 2 cubic meters. The…

A:

Q: Distance between (9x,-11x)and(4x,x)

A:

Q: The table below shows the height (in meter) of a javelin as it is thrown and travels across a…

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Q: 3. Find the general solution using the method of Variation of Parameters. y" + y = = sect

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.