At what interval is y=3x- 5x3 concave upward? 2 2.

Q: Integrate f(x,y) = x + y over the curve C: x2 + y? = 9 in the first quadrant from (3,0) to (0,3).

A:

Q: The length of the curve y = 3 - 4Vx for 0 < x < 3 is calculated by the integral: %3D Select one: 3 O…

A:

Q: On what interval is the curve t2 X. dt y% = Jo t2 + t +2 concave downward?

A:

Q: 2x + 7x +3. If Ax = 0.3 at x = 4, use linear Let y approximation to estimate Ay %3D %3D %3D Ay =

A: Given y=2x2+7x+3 if ∆x=0.3 at x=4 we have to approximate ∆y using linear approximation.

Q: UseThe Culerwe method's Sove the: dy %3D xCi+メ)。 y(0)=3,h=0.2

A: This is a problem of Numerical Analysis.

Q: Find the average squared distance between the origin and the points on the paraboloid z = 4 – x² –…

A:

Q: A) The position of a particle P(x,y) at time t is given by: x= (2t +3) , y =+t.Find the distance it…

A:

Q: 5. Using tangent line approximation, approximate the value of: a. V9 b. 3.012 – 4(3.01) + 7

A: The objective is to tangent line approximation to approximate the value of 3.012-43.01+7

Q: rea under the curve y = 2x – x² from x = 1 to x = 2 with n = 4 %3D tonglon

A:

Q: Q6/ Find the moment of inertia and radius of gyration about the x-axis of a thin plate bounded by…

A:

Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0) = 0. Find its maximal interval of existence %3D

A:

Q: 6) What is the tangent plane of f (x, y) = 5x² – 2xy? + 3xy + 4x at point (xo, Yo) = (1, –2) ?

A: The question is solved in step. 2

Q: af Find of f (x, y) = sin %3D dx 1+ Y COS 1+y () Option 1 sin 1+ y 1+ y Ontion 4

A: Partial derivative of a function in several variables with respect to one variable is calculated by…

Q: Evaluate f S S 4.x² + 4y² + 4z² dV, where R is the hemisphere centered at the origin, R having…

A: Given that:- ∫∫∫R 4x2+4y2+4z2 dv where R is thehemisphere centered at the origine havingradius 2.…

Q: A cylinder of radius r and height h has volume V = nr 2h.(a) Use the Linear Approximation to show…

A: Given: A cylinder of radius r and height h has volume V=πr2h a)  show:  ΔVV≈2Δrr+Δhhb)  Percentage…

Q: Evaluate . y? cos(x) dx + 2ysin(x)dy where C is the straight line between (0,0) and

A: The equations of the straight line joining (0,0)to π2,1 are x-0π/2-0=y-01-0=t(say) i.e. xπ/2=y1=t…

Q: Ven dy' j + z k B - yi + 4x ĵ + 3²Ê %3D 3. i x (6x マ×(Gx - マ(マ.) - v* つさ

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: ди ди + x - Əx %| ду 0 =

A:

Q: <plain why y = t² – sin? t cannot be a solution to y" + p(t)y' + q(t)y = 0 nere and q are both…

A:

Q: 4)Solve the followingIVPusing LaplaceTransform y′′−10y′+9y=5t,y(0)=−1, y′(0)=2

A: The differential equation is given as y''-10y'+9y=5t Apply Laplace on both sides, we get…

Q: Solve dy = ytan t, dt using separation of variables given the inital condition y(0) = 15. Assume the…

A:

Q: Find the area between the two curves.

A: The area between the curves y=sec2x and y=sin2x on interval 0, π4:The area between curves is the…

Q: 5. Are there any points on the graph of x2 - y? – 22 = 1 where the tangent plane is parallel to the…

A:

Q: Find the moment of inertia with respect to x-axis the aarea bounded by 2y^2-8y-16x=0 and the line…

A: The moment of inertia is the rotational analogue of mass. The expression for moment of inertia is…

Q: Lây ởy - Find the bounded solution of- ,x>0, t> 0 where y (0, t) = 1, y (x, 0) = 0.

A:

Q: || x dA, R is bounded by y = x, 2x + y = 6 and the y-axis. R

A:

Q: Solve the problem with Neumann boundary conditions, Ut – Uzz = 0, x,t > 0| u(x,0) = f(x) и, (0, t) —…

A: As given by the question There are given that the equation: ut-uxx=0, x, t&gt;tux, 0=fxux0, t=0 And,…

Q: a) Evaluate the line integral S. (2x – y) dx – (x + 3y) dy, where C is a straight line from (1,1) to…

A:

Q: y = secx prove that d² y dx +y 2y

A: For y=sec x, we need to prove that d2ydx2+y=2y3. Here,            y''=secx''      =secxtanx'…

Q: The area enclosed between the curves p(a) =2 +*+ 3 and g(@) = -22 - * + is O 16 47 %3D 18 49 O -49…

A:

Q: The longest interval in which the 1.V.P y"+(tanx)y-xy = x, y(1) = 3, y'(1) =0 surlay has a solution…

A: Given differential equation is. y''+tanxy'-xy=x The initial condition as, y1=3,  y'1=0 On comparing…

Q: Using the approximation dy dy * Yn+1 - Y, and that dr 1, y = 2 dr h when r= 0. Then, y, = A h-2 h+2…

A: Use the approximation hdydxn≈yn+1-yn and that dydx=1, y=2 when x=0. Then y1=?

Q: The longest interval in which the 1.V.P y"+(tanx)y- xy = x, y(1) = 3, y'(1) = 0 surlay has a…

A:

Q: 3. Evaluate the line integral sin(y) dx + (x cos(y) – sin(y)) dy, where C is the straight line from…

A:

Q: . The uejveciion of a beam is governed by the equation d'y + 81y = 0 (x) dx %3D where o(x) is given…

A:

Q: || | /3(x² + y²)dV, where V is bounded by y = 2x² + 2z² and y = 8. %3D

A:

Q: Let y = 4a2 + 8x + 2. If Aæ 0.4 at x = 5, use linear approximation to estimate Ay %3D %3D Ay =

A:

Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle 0…

A:

Q: a) Evaluate the line integral S. (2x - y) dx – (x + 3y) dy, where C is a straight line from (1,1) to…

A:

Q: Solve the boundary-value problem by method of separation of variables: du Su +3 Sy = 2u, given u (x,…

A: A

Q: If f=(3x?-3yz)i +(3y² – 3xz)j+(3z² – 3xy )K, then the value of the integral (f.dī along the curve x2…

A:

Q: OFind the aquahon of the Hangent to the at point Lircle X2 +8Xt PCI,3)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 2)Evaluate er dA , Ris bounded by y = x2,y 1 3)Evaluate I| Vy2 + 1dA , Ris bounded by x = 4 - y? ,x…

A:

Q: 4 i /," x’dx using four subintervals. Calculate the trapezoid approximation of O T5 = 61.24 O T5 =…

A: Dear user, You need to find step height and using this you need to find endpoints of interval. Then…

Q: Express in form y=f(x) by eleminating the parameter x = e−2t , y = 6e4t

A: Here, x=e-2t and y=6e4t

Q: Integrate h (x, y. 2) = yzi+xj+xzk over the indicated path: (a) the line segment from (0, 0. 0) to…

A: definite integrate calculus

Q: The function U(x, y) satisfies the equation = -2, ax2 ' ay2 ду? at every point inside the square:…

A:

Q: The longest interval in which the I.V.P y" + (tanx)y-xy x, y(1) = 3, y'(1) = 0 surlay has a solution…

A: Given,  y''+tanx y'-xy=x It is of the form,  y''+p(x) y'+q(x) y=g(x)