If sinh(x) = 6 , then x = (A) 6 (B) In(6+ v35) (C) 6 + v37 (D) In(6 + V37) (E) 21

Q: Q5] Show that F(x, y, z)= +3xz² k is a conservative vector field and then find the work done in…

A:

Q: Q1// Find equations for the normal and tangent to the curve of sin(x²-x) y = x > at x = 1.

A:

Q: Q2. Find an approximation to V9 using 4 steps Newton's method.

A:

Q: 72+J16M=34 M==4

A:

Q: Q2: Evaluate dw dv and w = xy + lnz , x = dw du v2 U at given values of v &u by using the chain…

A:

Q: Q.4// Solve the following system of linear equations using matrices: x+y 2z = 3 3x-y+z=0 3x + 3y +…

A:

Q: Find the root of the equation by Newton-Raphson method. f(x) = sinx- x+1 x-1

A: Given:The given equation is .To Find:We have to find the root of the given equation by using the…

Q: QI) Evaluate (four only) : (a) S dx (e) S X-1 dx Vx2-2x+1 (b) O stectx tanx 4+secx (d) S e*cosx dx…

A: As per company guidelines we are supposed to answer only one question with at most three subparts at…

Q: Q1/ Evaluate the double integral as given in the following function and table by numerical solution.…

A: The given table is:X   | Y0.511.522.544.44.64.855.266.36.66.97.27.588.48.89.29.610To find: The…

Q: Q2: Find all the local maxima, local minima and saddle points of the func f(x,y) = 2 lnx + Iny -…

A: A critical point of a function of two variables  is a point where the partial derivative ofthe…

Q: Euler methed to solve use ycoleo

A:

Q: Q3: For the following cash flow pattern, determine 1- the present equivalent value 2-the future…

A:

Q: Q5/ Find the eigenvalues for matrix A [1 0 -11 1 2 1 2 3 A= L2

A: The given matrix is; A=[1 0 -1      1 2 1      2 2 3]

Q: For r(t) = (3sint)i + (3cost)j + 4k Determine: 1. The unit tangent vector (T). 2. Principal unit…

A:

Q: الموضوع

A:

Q: - 2 x f (æ) = V

A:

Q: Q3:The line L, whose equation is (= y-1 = -2 +z) intersects the line L2 that passes -1 2 through the…

A:

Q: Q5: Draw and Find the Position of the Centroid of the Figure bounded by ye with the x-axis and the…

A: Using integration, we can find the coordinates of centroid.

Q: Q2: Solve the following differential equations: {[1+ y*] sin(xy) + xycos(xy)}dx + {[1+x*] cos(xy) –…

A: Given            1+y2sin(xy)+xycos(xy)dx+1+x2cos(xy)-xysin(xy)dy=0

Q: Q4/ Find the directional derivative of the function F(x,y,z)=x+xcosz-ysinz+y at the point P.(2,-1,0)…

A: The given function is; F(x,y,z)=x+xcosz-ysinz+y

Q: Q2/ Find the area bounded by the curves y x2and y- 2x - x² using numerical integration.

A: We have to find the area bounded by the curves.

Q: A. By using Euler formula, for the following initial value problem calculate the approximate value…

A:

Q: Find d as a function of t if x = t², y = t³ - 2t³ +1.

A:

Q: x+3x+3 (XH) (x*+1)

A: Here we have to evaluate, I=∫x2+3x+3(x+1)(x2+1)dx using partial decomposition;

Q: 4, 2 N/W 2

A: solution is given below

Q: cot x sinx dx

A: By substitution method, integrate the function. Substitute sinx =t

Q: = Evaluate ff3y³ exy dx dy

A: Given,f(x,y) =First integrate by xSubstituting the limits

Q: 2- Change the integral √√1+3x²+3y² dA to polar integral where D is the lower half of x²+y²=9. -2π a)…

A:

Q: b- Solve with naive Gauss elimination X + 2x2 - x3 = 2 5x1 + 2x2 + 2x3 = 9 %3D - 3x, + 5x2 - x3 = 1

A: