2s+3 13. F(s) = s2–5

Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: CoS z 5,⁰ √1+4t2 dt, find F'(x) 11. If F(x) =

A: The objective is to find F'(x).

Q: The function f defined by the rule f(z, y) = In(xy) increases fastest in the direction of T. F (1,…

A:

Q: Find the differential of the function f(x,y)=x(e^-y) at (2,0). df=?

A:

Q: Q3) Reversing the order of integration f 2 y? sinxy dy dx

A:

Q: integrate ​f(x,y)=x2−y over the curve​ C: x2+y2=4 in the first quadrant from (0,2) to 2,2.

A: The solution are next step

Q: Use the differential dy to approximate Ay when x changes from x = 2 to x = 2.04. y = V3x – 2 A. 0.01…

A: Given that: y=3x-2x=2 to x=2.04

Q: Q4/ Find the direction in which the function f(x,y) = /xy² + 1 increases most rapidly at P-(1,-1)…

A: Here we will differentiate f(x,y) with respect to t and solve this question.

Q: Find the length of the curve y = Vcos 2t dt from x = 0 to x = T/4.

A:

Q: 2. Approximate v1.02 +0.02 using an function f(x)=√x + 1 + e*. appropriate local linear…

A:

Q: Find the linearization of the function f (x) = x' at x = 1. a ab Va |a| sin (a) 7 х-6 L (x) Using…

A: Given a function,

Q: valuate S S Se(3 – 4x)dV, whe e xy-plane defined by 0 < x s

A: To find: ∫∫∫E(3-4x) dV

Q: ) L -dx (x² + 1)²(x² + 2x + 2)` sen? t dt, for 0 <b< a. a+b cost

A:

Q: What is laplace y(s)=(s^2+2s)/s^4,find y (1)?

A: Use laplace inverse

Q: integral f t^3 In t dt

A:

Q: Using the linear approximation of f (x, y) near (x, y) = (1, 0) tells us that f (0.98, 0.05) is…

A: The linear approximation of a function f(x, y) at (a, b) is L(x, y) = f(a, b) + fx(a, b)(x − a) +…

Q: A particle is moved along the x-axis by a force F(x) = x² + 5x – 6 . How much work is done in moving…

A:

Q: Compute fe F d where F (x, y) = x² + y). (2xy + x, Hint: Is F conservative?

A:

Q: Q4: Given: d²y =[f(x-t)dt -show that = f (x)· dx? y %3D .2

A: Differentiation of integration

Q: 3. Integrate numerically the given function, f(5+ 3sinx) dx using (a) single application of the…

A:

Q: Find fr, fy and fz. f(x, y, z) = x – Vy² + z? |

A: Given f(x,y,z)=x-y2+z2. The objective is to find fx,fy and fz.

Q: Find the total differential z = 1/2 (ex2+y2− e−x2−y2)

A: The given function is z=12ex2+y2-e-x2-y2. Note that  ∂z∂x=12ex2+y22x-e-x2-y2-2x=xex2+y2-e-x2-y2…

Q: In integrating the function fx* in Sx dx using integration by parts, what would you choose for your…

A:

Q: Integrate f(x,y) = x-5y over the curve C: x +y = 64 in the first quadrant from (0,8) to (V32,/32).…

A: Formula Used:Line integral ∫Cf(x, y) ds=∫abf(x(t), y(t)) dxdt2+dydt2dt

Q: Find fr and fy- f (x, y): 6e dt 4 fa(x, y) = fy(x, y) =

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: 2. Is there a difference between finding the general antiderivative of a function f and evaluating |…

A:

Q: Find the zeYo k its ovdev for Sunction f2)=1-Ti + Z+ e.

A: Given the function, f(z)=1-πi+z+ez. Now, in order to find the zero of the function f(z), we will…

Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given: hx=x4 To approximate the values of 34 and 44 using linear approximation of hx. Note: the…

Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

A:

Q: Find He valve of fe2) when fg functions such that are dilferentrable %3D g(x) >o 1 for all x, while…

A:

Q: (i) Find the linear approximation of the function f(x, y) = 1 - xy cos πy at (1, 1) and use it to…

A: Here, the given function is: f(x,y)=1-xycos πy To find the linear approximation of the function. For…

Q: find the general selution of the differential equetion by the fimear methodi sxy'-2y=x

A:

Q: Find the total differential. z = 10x4y5 dz = (No Response)

A:

Q: 6s-2 15. F(s): 2s²+4

A:

Q: b) Change the order of integration for So Sx - y) dxdy then evaluate it.

A:

Q: find for x=1 the y value for partivular solutiom, (D^2+3D-10)y=0, when x=0, y=0 and x=2, y =1

A:

Q: Find fr and fy- f (x, y) = | 5e dt %3| fa(x, y) = fy(x, y) =

A: We apply fundamental theorem of calculas and solve it.

Q: Q3/ Evaluate 2 vsinx dx, using i- Trapezoidal rule ii- Simpson's 3/8 rule Ans. 1.1615

A:

Q: Verify Young's Theorem f(x,y) = e(2x+y) In(xy)

A:

Q: 11. F(s) = s-8 F(S 1.

A:

Q: r an antiderivative of f(x). Do not enter +cas ver: +c

A: topic:- integration

Q: Q4/ Find the direction in which the function f(x,y) = xy2 +1 increases most rapidly at P-(1, -1) and…

A: We have to find the direction in which the function fx,y=xy2+1 increase most rapidly at P1,-1 and…

Q: f 5 J of work are needed to stretch a spring 10 cm beyond equilibrium, how much work is required to…

A:

Q: 14. F(s) s2-25 3.

A:

Q: [4xy + 2x] 5) Let F(x, y) =[ 2x² + 1 Is F conservative? If so, give a potential function for F. %3D

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

Q: 12. F(s) s²+2

A:

Q: (1) Where on the line r = ay does the function f(r, y) = (x – a)² + (y – 2)² attain its smallest…

A: We need to check on the line x=ay.....................(1) if there exist a minimum for the function…

Q: Find the linearization of the function f (x) = =° at z = 1. L (1) = Using this linearlization, ƒ…

A: