State, giving reasons, which of the following subsets of R² are compact: (i) {(,):22 + 2 =1}. (ii) {(x, y): ry < 1}. (iii) {(x, y): e* = cos y}.

Q: For cos2(xy) =-, evaluate y' when x = 1. 4

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Q: 7. Set f(x) (a) (b) (c) (d) = 2 +4 8 cos 2x, 2sin2, + e-8/2 s² + 4 S s² +4 8 8² +4 (e) None of the…

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Q: Let 7'(t) = (3+ 4t, cos(t), 6e*) and F(0) = (7, 2, 5). Determine 7(t). †(t) = (, , )

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Q: Find f, and f, and evaluate each at the given point. (x, y) = arctan), (2, -2) %3D ,(x, y) = ,(x, y)…

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Q: Prove that B(m, n) = B(m + 1, n) + B(m,n + 1)

A: given,

Q: a) z=cos² (3 xy) onde x=p+eº ey=p²-2e³8 b) z=4x³y onde x=3p²+0² e y=p²-40²

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Q: 1) FIND F'): C P)= (x D(2x+)

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Q: Which of these functions (or none of them): (1) z=e" (ycosx-xsiny) or (2) z=e' (y cosx-xsin x) 0²z…

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Q: Find дх (дхду) 6,e at the point(7,), where g(x,y) = cos(y) [sen(x) + xy].

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Q: Img(:)=v(x.y) and g(-)=g: v(x, y) = 2x-2ry+sin xsly and g (0)=-1.

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Q: Given z(x, y) =In(2xy) where x(u,v)= e" cos(4v) and y(u,v)=e" sin(4v). Find ди 1 cos (4r)+-sin(4v)…

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Q: Let F(2) = f(x) and G(x) = (f(x)) - You also know that a = 2, f(a) = 2, f'(a) = 7, f'(a³) = 15. Find…

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Q: For f(x1, x2) = x2 cos x1 find f'(x1, x2), f'(2,7) and df[(2,7); h]. For f(x, y, z) = (x – 2z)e"…

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Q: Let f(z) = cos and g(z) = tan-(10z) Then if h(z) S(z) find: 9(z) h'(1) = N(즉) = |

A: The given functions are  f(x) = cos-1x/5 , g(x) = tan-110x   If, h(x) = f(x)/g(x)  Find h'(x) and…

Q: Given that f(x) = 2x + cos(x) is a bijective function, find (f-')'(1)

A: The function f-1 represents the inverse of function f. Therefore, if f-1x=y then x=fy represents the…

Q: Let C, be the rectangle with vertices (0,0). (1,0) (0,2) and (1,2) oriented counterclockwise. Find J…

A: Green's theorem problem....

Q: The interval on which the graph of f (x)= cos 2x, xE 0,7 is concave up is: %3D 37 (A) t 37 4 4 (B)…

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Q: Determine r (x) if r(x) = (arccot(x))".

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Q: If f(x) = cos (-x) + 3x + 2, xE [0,1], then f"(5) = %3D A) cos + 17. B) cos()+17" (Sm C) 0. D) 2. E)…

A: Solution of question as follows

Q: Compute the Jacobian at the indicated point. G(r, t) = (r sin (t), r — cos (t)), (r, t) = =(5,2)…

A: Jacobian of the function

Q: If C is a circle of radius 6 centered at the point (3, -1), then evaluate f (4y - e³in (2)) dx +…

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Q: 1. Consider the two functions f (x) = cos 4x and g (x) = ) (a) Write down: (i) the minimum value of…

A: Given: fx=cos4x, gx=x2 we know that cos4x∈-1,1∀x∈R so, minimum value of fx is -1 now, we know that…

Q: z{cos (: -)u(: - )} = a) 3 3

A: We find the given Laplace transform. Formula:  L{cos(at)}=s/(s2+a2)......(1)…

Q: If x(t) , X(f), then show that x(t) cos (@- w. 2 (@ + w.).

A: To find fourier transfer of given system first expand cos wt in form of Eulers form then use the…

Q: |(1) Solve the following D. E's :- a) Y=l+a0lY, b) y'= xy/2, c) xy'= y+Y, d) Y= (x²+ y²)/xY, e) y'+…

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Q: please answer fully on paper and make sure its correct please i keep getting different answers

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