Q: Find the surface area of the object obtained by rotating y = 1 +. 8x2 , 2<x 3 about the x-axis. 4
A:
Q: Sketch the surface..........CYLINDERS............. x2 + y2 = 4
A: x2+y2=4 Now, rewrite the above surface for the function as, z=fx,y. z=fx,y=4-x2-y2
Q: Find the tangential and normal components of acceleration for a projectile fired at an angle 0 with…
A: we know that for projectile fired at angle θ with the horizontal tangentialTt and normalNt…
Q: find a parametrization for the curve. the left half of the parabola y = x^2 + 2x
A: First, we will find the symmetric line of the given parabola y=x2+2x. We know that the symmetric…
Q: Find the Contour integration to
A: ∫-π-π11+sin2xdx∫aafxdx=0, a≠∞=0
Q: ) Jar t, < t 3 tz+ operator DP(x), stating cle scalar equation ÿ + y3 VI
A: The one to one function is shown as,
Q: Two children weighing 18 and 20 kilograms are sitting on opposite sides of a seesaw, both 2 meters…
A:
Q: Parametrize the osculating circle to y = √x at x = 4.
A: Given that the osculating circle y = x
Q: Use cylindrical coordinates to evaluate d V when
A: The given integral is ∭RxdV where the region R is defined by R:x2+y2≤1, x≥0, y≥0, 0≤z≤2. Converting…
Q: A body of mass m falls from the rest in a medium offering resistance proportional to the square of…
A: We are authorized to answer one question at a time, since you have not mentioned which question you…
Q: Give two different parametrizations of the line through (4, 1) withslope 2.
A: Solution:GivenA point(4,1) with slope 2Formula:Equation of the line at (x1,y1)y-y1=m(x-x1)
Q: Find a parametrization for the curve described below. the line segment with endpoints (- 2,4) and (-…
A:
Q: determine the magnitude of the force exerted by block Y on block X during this acceleration.
A: In this question, we need to find the force exerted by block Y on block X.
Q: Express the velocity and the acceleration of a moving point p(r,0)
A: We have given a curve in polar coordinate : r=1+sin(θ) with θ=t2…
Q: What is the area of the conic (x + 3) + y 25
A:
Q: Solve 3x – 6 ≥ 0 graphically intwo dimensional plane.
A:
Q: Evaluate | (3z2 – 22) dz, where C is parametrized by z(t) = t+iť, 0<t< 1. -
A: Given integral is ∫C3z2−2zdz ,where C is parametrized by zt=t+it2, 0≤t≤1. We have to evaluate the…
Q: Represent the parabola y = x2 + 1 by a vector-valued function
A:
Q: Find three different parametrizations of the graph of y = x3.
A:
Q: How can I parametrize this 3D shape with two variables? x ≥ 0, 0 ≤ y ≤ x, x^2 + y^2 ≤ z ≤…
A:
Q: Is the bicyclist's acceleration positive, negative or zero? Explain.
A: To determine whether the bicyclist's acceleration of positive, negative, or zero.
Q: Find a parametrization of the curve. The vertical line passing through the point (3, 2, 0)
A: Consider the given point 3 , 2 , 0
Q: Is of both lines through the point (-2, 6) that are tangent to the parabol
A:
Q: solid that results when R is revolved about the y-axis.
A:
Q: Solve using method of variation of parameter: 4y" - y = xex/2, y(0) = 1, y'(0) = 0.
A: Let us consider a second order differential equation with constant coefficient , y''+ay'+by=Q(x) To…
Q: Two particles travel along the space curves r(t) and u(t). If the particles collide, do their paths…
A: Given that Two particles travel along the space curves r(t) and u(t) collides. That mean there exist…
Q: Determine the parametric equation for a line that is tangent (intersection) of the two fields below:…
A: We have to find out parametric equation for a line that is tangent (intersection)of the two fields…
Q: Use cylindrical coordinates to evaluate Vio-ri-p2xy dzdydx
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Find the Parametrization of the line.
A:
Q: For time 1 > 0, the position of a particle moving in the xy-plane is given by the parametric…
A: Velocity==rate of change of distance per unit time=displacementtime=dsdt. Given that: x=4t+t2 and…
Q: Find an equation of the conic described.Graph the equation.
A:
Q: Two children weighing 16 and 24 kilograms are sitting on opposite sides of a seesaw, both 2 meters…
A: Given, Two children weighing 16 and 24 kilograms are sitting on opposite sides of a…
Q: Classify the equation yʻuxx + 2xyuxy + 2x-uyy + xux = 0, and reduce it to canonical form.
A:
Q: (iii) dz< 22 + 2 where here y parametrises the straight line segment from 0 to 1- i.
A:
Q: Use sine and cosine to parametrize the intersection of the surfaces x² + y² = 16 and z = 4x³. r(t) =
A:
Q: Differentiate parametrically to find x=3t², y=6t dy dx in terms of t:
A:
Q: 它们也称 Use spherical coordinate to evaluate Vr² + y² + z² dz dy dx. 0,
A:
Q: Exer. 35-36: Find equations of the tangent line and normal line to the hyperbola at the point P. 3…
A:
Q: Locate the centroid of the shaded area shown. y%3D 4 3 -3 -4T-
A: The centroid represents the centre point of the curve . For example if we have a point in…
Q: are two linearly independer d'y 3dy equation dx? dx
A:
Q: Linearize: around %3D
A:
Q: Calculate the tangential component of acceleration for r(t) = 2ti+t j+t°k. Write your final answer…
A:
Q: of the solid in revolution as it axis and the function 2 – x) 0<x< 2
A: The given function is fx=x2-x, 0≤x≤2. Find the volume of the solid in revolution as it rotates…
Q: Find the orthogonal Trajectory of y=c sinx.
A:
Q: What is the maximum height of a particle whose path has parametric equations x = t9, y = 4 − t2?
A: The height of the particle is given by it's y position: y = 4 - t2 At the maximum height, dy/dt = 0
Q: Parametrize the given curve. 4x + 6y2 = 3 c(t) =
A:
Q: z=r^2+2r
A:
Q: Find the centroid when revolved in y-axis: y³ = x² ; y = 4.
A: As per the question we are given a solid of revolution obtained by rotating the area between y3 = x2…
Q: Derive the equation of torsion and discuss its usefullness and limitations in detail ?
A:
Step by step
Solved in 2 steps with 2 images