Given ?(?)=(?+7)(−?2+10)f(x)=(x+7)(−x2+10), find ?′(?)f′(x).?′(?)=f′(x)=
Given ?(?)=?+1?2+?+1f(x)=x+1x2+x+1, find ?′(?)f′(x).?′(?)=
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Given ?(?)=(?+7)(−?2+10)f(x)=(x+7)(−x2+10), find ?′(?)f′(x).?′(?)=f′(x)= Given ?(?)=?+1?2+?+1f(x)=x+1x2+x+1, find ?′(?)f′(x).?′(?)=
Consider the function 4X 1X2 + 5x1 + 6x2 + 7, where x = [21, x2]T E R2. Suppose that we use a fixed-step-size gradient algorithm to find the minimizer of f: zo(k+1) = 2(k) – a V f (zo(k)). Find the largest range of value of a for which the algorithm is globally convergent. conv
Given f(x) k(1 + x2) 2. -1 < x< 2 a) Find k. b) Calculate F(x) and the three quartiles. c) Calculate E(X), Var(X)
Let MM be the capped cylindrical surface which is the union of
two surfaces, a cylinder given by x2+y2=81, 0≤z≤1x2+y2=81, 0≤z≤1,
and a hemispherical cap defined by x2+y2+(z−1)2=81,
z≥1x2+y2+(z−1)2=81, z≥1. For the vector field F=(zx+z2y+4y,
z3yx+4x, z4x2)F=(zx+z2y+4y, z3yx+4x, z4x2), compute
∬M(∇×F)⋅dS∬M(∇×F)⋅dS in any way you like
(1 point) Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by X2 + y2-81, 0 < ž < 1, and a hemispherical cap defined by...
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
5. Use Scilab to create following rational expression matrix: 12x 2 1+x 1x2 1 x2 1 +x 3 x 1+x3x3 5x x3 2 x2 1 x3 6 1+2x 1+ 3х + x2 1-х+x2.
5. Use Scilab to create following rational expression matrix: 12x 2 1+x 1x2 1 x2 1 +x 3 x 1+x3x3 5x x3 2 x2 1 x3 6 1+2x 1+ 3х + x2 1-х+x2.
With explanation!
3. Let B2 be the linear operator B2f (x):- f(0)2 2 (1f (1)2, which maps functions f defined at 0, 1 to the quadratic polynomials Pa. This is the Bernstein operator of degree 2, Let T = B21Py be the restriction of B2 to the quadratics. (a) Find the matrix representation of T with respect to the basis B = [1,2,2 (b) Find the matrix representation of T with respect to the basis C = (1-x)2, 22(1-2),X2]. (c)...
x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с
Given that f(x) Vx )x2 -1, find 2 and g (x )x each of the following, if it exists. [2.2] 24. (f - g) (6) 25. (fg) (2) 26. +&)(-1)
10. Given: f(x) = (x2 + 3x) a) Find dy = f'(x)dx b) Evaluate dy when x = 2 11. Approximate 52 using f(x+ Ax) = f(x) + f (x)Ar and dec = 0.02
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)
7. (10) If 1+ f(x) + x' [f(x)] = 0, and f(1) = 2, find f'(1). 8. (10) Differentiate the function 9. (10') Find an equation of the tangent line to the curve y=9-2x at the point (2,1)