Let X = R, and M = {0}, then span (M) = %3D %3D OR O {0}

Q: Evaluate O xy?dx + a°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

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Q: Find the value(s) of c such that the area of the region bounded by the parabolae y=x2-c2 and y=c2-x2…

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies…

Q: If we use IBP to evaluate Ixe xe²x dx, then the most suitable choice for u and dv are

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Q: Find f, and fy, and evaluate each at the given point. f(x, y) = arctan(), (2, -2) f,(x, y) = f,(x,…

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Q: Find the average value of f(x, y) over the plane region R.

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Q: In ABCD, H is the centroid. If HF=6 find BF. C E

A: It is known that the centroid of a triangle divides the median in 2:1 ratio. It is given that HF=6.…

Q: Let h(y,z)=y(e)^−z. Calculate ∂h/∂y and ∂h/∂z.

A: Given : hy,z = ye-z

Q: If R is the region boundeb by the square a|+|y = 1 then ffR(y-2)dA is equal

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Q: The numerical value of 34 3dA (where D is the region bounded by lines y=0 and x = 1, D and the…

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Q: 2. ydx = x(1+ xy*)dy %3D

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Q: Evaluate O xy dx + x°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

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Q: Find fy and fy, and evaluate each at the given point. f(x, y) = arctan(), (2, –2) fy(x, y) = f,(x,…

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Q: The area bounded by the curve y3a and the lines z 4 and a-9 above the z-azis is aquare units O 27v0…

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Q: Let G(u, v) = (, uv). Use the Change of Variables Formula to compute the area of the image of [1, 4]…

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Q: Given f(x, y, z) = x³yz². Find f.(1,1,1).

A: The equation we have , f(x,y,z) = x3yz2 We have to find out fz, Now we differentiate f(x,y,z) with…

Q: 3. Find the area of the band cut from the paraboloid x² + y² -z = 0 by the planes z = 2 and z = 6.…

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Q: Find the absolute maximum and minimum values of f(x, y)= xy on the quarter-disk D={(x,y)l x20, y20,…

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Q: the IVP ly a Sum of povers up to and including x5. cx-2) y'= xy, yroje 4 Q.6. Salve pover ceries and…

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Q: am dA y² dx + x² dy = / / ( - əx ду for the given path. hC: rectangle with vertices (0, 0), (2, 0),…

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Q: Evaluate S, y dv with E = {(x, y,z): 0 <x< 3, 0< y < x, (x – y) < z < (x + y)} %3D

A: Use triple integration

Q: Find the ic by using Least cost Method? Di Dz D3 Dy supply 10 20 %3D 15 12 7) 20 2, 25 14 16 18 15…

A: D1 D2 D3 D4 supply S1 10 0 20 11 15 S2 12 7 9 20 25 S3 0 14 16 18 15 Demand 15 15 15 10…

Q: Find the interior, closure, and boundary of E = {q EQ : 0<q<}.

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Q: Evaluate p xy*dx + a*dy, where C is the rectangle with vertices (0,0), (2,0), (2,3), and (0,3)

A: *Concept:- Use Green's theorem.

Q: find the indicated extrema, assuming that x, y, and z ar = xyz z - 12 = 0

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Q: Let D, E ⊂ C be starshaped w.r.t the same z∗ ∈ D ∩ E. Show that D ∪ E, D ∩ E are starshaped

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Q: Find the value of c such that the regionbounded by y = c sin x and the x-axis on the interval [0, ∏]…

A: Given y = csinx and the region bounded by y = c sin x and the x-axis on the interval [0, π] has area…

Q: (b) ſf f(x,y) dA if f(x, y) = y², where R is the triangular region with vertices (0, 1), (1, 2) and…

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x - c² and y = c - z is 1

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x 450. c and y = c – x² is…

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Q: 1. Evaluate I = D xy dA, where D is the triangular region with vertices (0,0), (0, 1), and (1,1).

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: f(x, y) = xy over the triangular region with vertices (0, 0), (8, 0), and (0, 6) O 12 2 96 O 16

A: Solve

Q: Evaluate O xy dx + x°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3).

A: The solution is given by using greens theorem as follows

Q: Surface Area top front width length area of front = h x w area of top = w x 1 area of bottom = w x 1…

A: Explanation of the answer is as follows

Q: 9. Find y", given y = %3D Vx-1

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Q: if z is dirctly proportional to the product of x and y and if z is 6 when x is 3 and y is 4, then…

A: Solution is given below..

Q: Consider the solid lih S,: X=4-y² そ=2

A: Surface: Surface, A two-dimensional collection of points (flat surface), a three-dimensional…

Q: Evaluate p xy da + a dy, where C is the rectangle with vertices (0,0), (3,0), (3,6), and (0,6).

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Q: 2. Cald te SST, Treatment 1 Treatment 2 Treatment 3 n = 10 T = 10 n = 10 T = 20 SS = 16 n = 10 T =…

A: Given: Treatment 1 Treatment 2 Treatment 3   n=10 n=10 n=10 N=30 T=10 T=20 T=30 G=60 SS=27…

Q: If z = e4x + y In(x), find zx and zy. Zx Zy %3D

A: 1) The given function is: z=e4x+ ln(x)

Q: Given that f(1) = 0.5, f(2) = 2, f(3) = 1.5, f(4) = a and f(5) = 3. When Simpson's rule(s) is %3D…

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Q: Find fy and fy, and evaluate each at the given point. f(x, y) = arctan(), (6, -6) fx(x, y) = f,(x,…

A: Given that: f(x, y)=arctanyx

Q: Exercise.8 Find: P,(x), Pg(x), L, Pa(x) Pg(x) dx , LIP,(x)l² dx

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Q: If y = In(x² + y²) then the value of d at the point (1,0) is %3D Select one: O a. 0 O b. 1/2 O c.1 O…

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Q: If X is a RV with f(x) = 0, when x 0, P(X 2 a) <u/a. %3D

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Q: Given f(x, y, z) = x In(yz³), find fay and fyz. %3D

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Q: graph the points z = x + iy that satisfy the given conditions. 5. a. |z | = 2 6. | z - 1| = 2 7. |z…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Find the measures of ZX and ZY.

A: we need first the sum of interior angles for a pentagon this is given by the formula,      (n-2) ×…

Q: This water tank has dimensions as shown, in metres. 1. Show that the volume of the tank, V m3, is…

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