Discussion: 1- Show that Ramp(t) = u(t) dr = t * u(t)

Q: X =. Vy, x = -y,y = 2 about the x-axis

A:

Q: 19. f(x, y) = x + y+y+ 1, constrained to the triangle with vertices (0, 1), (-1,–1) and (1, +1). %3D

A: As per bartleby guidelines i can answer only one question, kinldy upload rest questions separately.…

Q: az əz of Z = - у2 +х at the point (x, y)= (1, 1). 1. Find дх ду

A: We have to solve one question as per guideline Please repost other question again

Q: In Exercises 11-28, use Separation of Variables to find the generalsolution. dy - = ytant dt

A: The given differential equation is dy=-ytantdt

Q: A force F = -3i +j+6k acts through the point (5,-2,-1). Find its moment about the point (3,0,2).

A: Moment of force about the point is given by cross product of position vector r about a point and…

Q: Find the linearization L(x, y) of the f(x, y) = x°y® at the point (2, 2). L(x, y) = %3D

A:

Q: Find a parametrization of the line passing through (2, 0, 4) and (4, 1, 2). r(t) =

A:

Q: F(x, y) = (2x + y)i + (3y – x) j on a particle that travels on a plane along the straight lines from…

A:

Q: X, P3 = = x². 2. What is the most general solution to u + v + w = 1, u – w = 2 in vector form?

A: Q1. p = 4 - 3x + x² = (4)p1 + (-3)p2 + (1)p3  So, [p]β = [4   -3   1]

Q: Example: » - ( ) F(r,y) = | x² + y² ' x² + y², on the curve C : R(t) = (cos t, sin t), t e [0, 27].…

A: Given : vector field F→x, y=-yx2+y2, xx2+y2 on the curve C : R→t=cos t, sin t , t∈0, 2π

Q: Find a vector parametrization of the curve x = -3z² in the xz-plane. t as the parameter in your…

A:

Q: Find the solution u(t, x) to the system Jau +30₂u+u²=0 for t≥0, 20, u(t = 0, x) = cos(x). Start by…

A:

Q: 4- Find the length of the curves in Exercises. 1. y = (1/3)(x² + 2)³/2 from x = 0 to x = 3 3. x =…

A: for a function of the form y=f(x) length of the curve from x=a to x=b is: L=∫ab(f'(x))2+1dx and for…

Q: The line of action of the 4800-lb force F runs throu the points A and B as shown in the figure.…

A: The scalar component a→ along with b→ will be:                     Compb→a→=a→.b→b→…

Q: EXERCISE 4.4 Given P₁ = (-1, −1, 0) and P₂ = (1, −1, 0), derive the parametric expression (P(u, 0))…

A:

Q: Exercises 3.4/p.170 40 Find the point on The curve ytanx). - < x< here the tangent is parallcl to…

A: Given equation of the curve is y=tanx, -π2&lt;x&lt;π2

Q: 4- Find the length of the curves in Exercises . 1. y = (1/3)(x² + 2)³/2 _from x = 0 to x = 3 3. x =…

A:

Q: (b) part of parabola y = −2x² from (−1, −2) to (2, —–8)

A: Given Equation of parabola y=-2x2 from -1, -2 to 2, -8.

Q: Find the lengths of the curves in Exercises 13–14. 13. y = x^1/2 - (1/3)x^3/2, 1&lt;=x&lt;= 4 14. x…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Deternime the equation of the tangent plane to the surface givne by the equation G(u, v) = (u^2 –…

A:

Q: Line WY bisects Line UV at Y. If UY = 2x + 1 and YV = x +7, find UV.

A: Meaning of biscsts is dividing into 2 parts .

Q: Find and determine type of stationary point for ƒ(x,y)=x' – 3x² + 2xy – y

A:

Q: b) Use chain rule 1 - arctan u, where u = e* y =

A: Given y=1u - arctan u, where u=ex apply derivatives on both sides…

Q: Find the lengths of the curves in Exercises 19–22. 19. y = x^(1/2) - (1/3)x^(3/2), 1&lt;= x &lt;=4…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Exercise 1.3.2 Give a paramatrization for the curve curve y = x³ + ()x-¹, then deduce the length of…

A: Given curve is  y=16x3+12x-1

Q: (ii) Use the rescalings s = S/N, i = I/N, t = BN1, c = µ/(BN) and d = y/(BN) to non-dimensionalise…

A: differential equation representing disease with classes S , I , R dSdt=-βSI+γRdIdt=βSI-μIdRdt=μI-γR…

Q: Transform pentagon BEARS according to (xy) → (x + 6, y+8). Write the coordinates for pentagon…

A: Given Data: Traformation: x, y→x+6, y+8   The given figure in the problem represents the pentagon…

Q: 1 Suppose v, = -3,v2 = 9. V3 For what value(s) of h is vz in span{v,,v2}? How do you know? b. For…

A:

Q: e point on the plane x+y+z:

A:

Q: f(x, y, z) = xe z2, piecewise linear path from (0, 0, 1) to (0, 2, 0) to (1, 1, 1)

A: To Determine: calculate ∫cxez2dx Given: we have piecewise linear path from (0, 0, 1) to (0, 2, 0) to…

Q: (a) Assume that traffic flows at a rate of 240 vehicles per hour on the stretch of road between…

A: The number of vehicles coming and leaving the signal is same in all the signals. That is, Total…

Q: P. let f-uti and fcz)=z= Prove that U and v Stadify lasplare equation

A: A function f(x,y) satisfies Laplace equation if fxx+fyy=0 Given function is f(z)=z3 Substitute…

Q: 2 € C: |Re 2| < 2 < 2

A:

Q: x² + y? Find a vector function that represents the curve of intersection of the paraboloid z = and…

A: Given curves are the paraboloid z=x2+y2 and the cylinder x2+y2=4

Q: (b) Let z(r, y) = exp(-|r|) cos r + y², where r + y /9 = 1. Show that z(r, y) has minimum points…

A:

Q: Q3) Detirmine tehether thi given Vecters are linearly defendont or linearly indyfenclent 4 3. -3 6.…

A: These are linearly independent.

Q: Findauihtvectorhermat to thesuFace X Y +X2=1 et the Point (-1,1,1)

A:

Q: Find the linearization L(z, y) of f at the given point. Surface: f(a, y) In(x +9y) Point: (11e5,e)…

A: Given :

Q: az and ди az Given that z = exy, x = 2u + v, y = , find (using chain dv rule).

A:

Q: arametrize the monkey saddle z=x^3−3xy^2 by using u=x,v=y as the parameters.  plot the image

A: Given equation is, z=x3-3xy2 Take u=x,v=y Then the equation becomes, z=u3-3uv2 The counter map is,

Q: The boy at A attempts to thrown aball over the roof of a barn such that it launched at an angle…

A:

Q: Evaluate (x+y)ds where C is the straight-line segment x =t, y= (2- t), z =0 from (0,2,0) to (2,0,0).…

A: We need to evaluate ∫C(x+y) ds. We are given that C is the straight line segment x=t, y=2-t, z=0…

Q: (a) How do you find the velocity, speed, and acceleration ofa particle that moves along a space…

A:

Q: In Exercises 1-4, r(() is the position of a particle in the xy-plane at time t. Find an equation in…

A: As per the company guidelines, we can answer only the first question when multiple questions are…

Q: A Show that the curve F(t) = lies in a plane.

A:

Q: A researcher is nunning a simulation of an upward rocket to study the upward velocity of the rocket…

A: v = ulnmomo-qt -gtv=upward velocity 680ms                                u=fuel expelling velocity…

Q: 4- Find the length of the curves in Exercises. 1. y = (1/3)(x² + 2)³/2 _from x= 0 to x = 3 3. x =…

A: