dx 2.

Q: Calculate x sin(y)dxdy

A: On solving this we will get

Q: 2x x– 3)² A = 6, B = 2 A = 2, B = 6 A= 2, B=-6 A=-2, B -6 A= -2,B 6 None of the Above Other:

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

A:

Q: +4

A: To check the convergence of the given improper integral:∫-∞2dxx2+4

Q: r'y'y'+ xy' = 1

A:

Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

Q: Find the Inverse Laplace Transform of the following functions: 16 a. L4. s(s2-14) b. L4. (25-32)2

A: we have to find       L-1{16s(s2-14)}   we can re-write the function 16s(s2-14) =1614( -1s +ss2-14 )…

Q: Evaluate the limit: r(t + h) – r(t) lim h >0 for r(t) = (t°, sint, 1) h r'(t) = (

A:

Q: Find V· (F × G), if F(x, y, z) = 8xi+j+8yk and G(x, y, z) = xi+ yj – zk. V · (F × G)

A:

Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

A:

Q: Evaluate the line integral / (3x + 9y)dx + (4x – 5y)dy along the curve C : x = 10 cos t, y = 20 sin…

A:

Q: If x + 1 f(x) then find the global minimum of f on the interval [1, c∞)

A: Given; f(x)=x^2+1/x

Q: y = sin3x

A:

Q: Find the volume of the region enclosed by z = 1 – y? and z = y² – 1 for 0 < x < 21. V =

A:

Q: Given that f'(x) is continuous everywhere and changes from negative to positive at x=a, which of the…

A:

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e-4x²…

A:

Q: 6) Find the SVD of the matrix by manually calculating U 4 11 14 A = 8 7 -2]

A:

Q: Find the centroid of the region bounded by y = VI and y = x². U

A:

Q: (4x - lim (4x – V16x2 + 3x – 5

A: Topic:- limit calculation

Q: Find the absolute maximum and absolute minimum values of f on the given interval. ex f(x) [0, 6] 1 +…

A: maxima minima

Q: Find f. (a) f'(x) = 3x4 – 5x? + x

A: Given query is to find the function.

Q: 1. Find the particular solution of the differential equation that satisfies the initial conditions.…

A:

Q: Given the curve v = x3 – 3x find the stationary or turning point

A:

Q: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

A:

Q: Find the length of the curve r (t) = i + 6t°j + 2t°k, 0 <t < V1 L =

A: We will find the length of curve.

Q: Find the unit vector in the direction of (3, -2). Write your answer in component form. Do not…

A: We will find the unit vector.

Q: Find the vector equation for the line of intersection of the planes x – 5y + 2z = 1 and æ + z = 1 |…

A: To find the vector equation of the line of intersection of given planes.

Q: 2. Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

A:

Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

A:

Q: Find div F and curl F if F(x, y, z) = 13y"z'i – 10x°z*j – 7xy°k. div F= curl F=

A:

Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…

A:

Q: Let be A, B, C three matrixes 30 1 B = z A = 2 y C = 5 13 -10, 10 What is the value for X that…

A: We will solve for x.

Q: Find the area bounded by the graphs of 1, y= and X=1 (Ao the right)

A: Find your answer below

Q: find SCE) at timet V=-5t+5, S0) = 14

A:

Q: Let f, g: R → R defined by if x 2 1 ) = {2x –1 ifx< 1 f(x) = and g(x) = 3x + 2. a. Find f-1 and g-1.…

A: ( f○g)(x) = f(g(x)) (g○f)(x) = g(f(x))

Q: Recall the geometric series 1/(1 − x) = 1 + x + x^2 + x^3 + x^4 + . . . for |x| < 1. Determine the…

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A:

Q: If f(x) = cos(2x) then find II f (t|4)

A: Given query is to find the Indicated derivative.

Q: Find the Laplace Transform of the following functions: a. L(sinxcosxe*} b. L{

A:

Q: dx 00 2 X х +4

A:

Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: Find the e v

A:

Q: stimate using the trapezoid rule and Simpson's rule for et dx;n3D8 -2x+5

A:

Q: Consider the function f(x): - 4x + 6x - 8. f(x) has a critical point at x A. Find the value of A: A…

A: For critical points ofa function we first find the derivative of the function and equate it to zero.

Q: x2 dx (x+2)3 In |x + 2| + 4x+6 4x+6 (ar+2)a +C In |x + 2| – (x+2)= Option 1 Option 2 희im lx + 2 +…

A: Given problem:-

Q: 7. If ā = -i+ 3j + k,5 = 31 – 2k and ĉ = 2î – † + 4k, determine 2(ã +5 – 2€) – (35 - 2)

A:

Q: lim (3x + 1) sin(2x) 4x2

A:

Q: Inx 6. lim,

A:

Q: Find curl (8z i + 9xj+4y k). curl(8z i + 9x j + 4y k) = ( i )i + ( i j+( i )k

A: topic- curl of a vector

Q: The velocity of a car is v(t) = 42(t - 2)(t - 4) miles per hour on the time interval [0, 4] hours.…

A: We need to find distance traveled by car.