= x? and r+ 3y = 6, If R is the region in the first quadrant bounded by r-axis, y evaluate 1. x dA. R.

Q: Determine the value of y in the given equation in the interval [0, 2rT): 2cos-y - 3cos y = -1

A:

Q: # Dioeribe the range of fiz) =2z for the fire quadrant, Re z20,Imz>0.

A: Given: fz=2z2, Rez≥0, Imz>0 Let z=x+iy Then, x≥0, y>0 fz=2z2⇒fz=2x+iy2⇒fz=2x2-y2+2ixy

Q: What is the area of the region in the first quadrant between the x-axis, the graph y = O O Select…

A: The function of the graph is The shaded region starts from  and goes to infinite distance.

Q: 4. Find the inflection points and determine the concavity. y = t - 6t +4

A:

Q: frinal d ouer the disonibed.regian.R. R R「メ=3 fa).

A: We have to use double integration.

Q: h.w: find Df, R1 y = Vx2 -6x + 8 %3D

A:

Q: where P is the parallelogram Spanned by the Vectons 24,13 and <3,3) with tHanformation X=4u+3V and.

A: Given that ∫∫Pe4x-ydxdy where p is the parallelogram spanned by the vectors 4,1 and 3,3 with…

Q: The area of the shaded region is x3 + Vy = 1, 0<Isl Select one: a. 3 O b. 3 3 4 d. 9 14

A:

Q: b. Find the total area of the shaded region in Figure Q6b. y=(x+2)° T x+2 -13 -1 -0.3 0.3 Figure Q6b

A:

Q: f circle, x2 + y2 = S.

A:

Q: dx Evaluate J, +6x+10 by dividing the interval into 8 equal parts by using Trapezoidal rule.

A: The integral ∫15dxx2+6x+10. We have to evaluate this integral by dividing the interval into 8 equal…

Q: Evaluate . F dr where F(x, y, z) = zi + x²j + yk and C is the line segment from (1,2,3) to (4,3,2).…

A: Given Fx,y,z=zi^+x2j^+yk^. We have to evaluate ∫CF⋅dr, where C is the line segment from 1,2,3 to…

Q: 3. Evaluate ff x²dA; for the region in the first quadrant enclosed by xy = 1, y = x,y = 2x.

A:

Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: H.W. 2: Determine the first moment of the shaded area with respect to a axis. 3. a a -X² = 9y X 1,3…

A: Given:

Q: The area, in square units, between the curve y = 4|x and the x-axis on the interval [-3,4] is…

A:

Q: Sketh the region and fined the Centroicl of the region bonded by the corves y =2-x? and y =X

A: Topic- centroid of region

Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: Ris the region enclosed by the positive x-axis, the positive y-axis and the circle x2 + y? = 2².…

A: Double integration

Q: l, (2 Y - x ) dA,where R is the region of the first quadrant bounded by the circle x2 + y? = 4 and…

A:

Q: Evaluate y ds, C: x = t², y=t, -5 < t < 4 C

A:

Q: Find the distance between the following two points: (0, -1) and (2, 0) O 2 O V5 O V13

A:

Q: Use the composite trapezoidal rule to compute Jo e dx correct to 3 significant gures, taking 5…

A:

Q: 2.

A: