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function f(2) In Exercises 25-30 determine whether the expression can be...
Question 4(25 marks) Find the critical points of following function, then determine whether they are relative...
Question 4(25 marks) Find the critical points of following function, then determine whether they are relative maximum, relative minimum or saddle points i. f(x,y) 3x2-2xyy2- 8y [Smarks] [5marks] [5marks] iii. f(x,y)--2x + 4y-x2-4y2 + 9 b) Find the divergence and curl of the following vector fields i. F(x, y, z) = x2 yi + 2y3zj + 3zk [5marks] ii. F(x, y,z) x sin y i+4xyz j - cos 3z k [5marks]
26. This exercise and Exercises 27 and 28 give Dirichlet's beautiful proof that 2 is a biquadrati...
26. This exercise and Exercises 27 and 28 give Dirichlet's beautiful proof that 2 is a biquadratic residue modulo p iff p can be written in the form A 64B', where A, Be Z. Suppose that p1 (4). Thenp b by Exercise 24. Take a to be odd. Prove the following statements (a) (a/p)1 b) (a b)lp) a (c) (a b) 2ab (p. (d) (a b(2ab)4(p). [Hint: 2p (a + b)* + (a bJ p-1V2 P14
26. This exercise and...
Question 25, 27, 39 Question 25, 27, 39 For Exercises 25-32, use the following graph of...
Question 25, 27, 39
Question 25, 27, 39
For Exercises 25-32, use the following graph of F to find each limit. When necessary, state that the limit does not exist. YA 6 F 4 2 1 $-4-3-2-1 1 2 3 4 5 6 -3 25. lim F(x) 27. lim F(x) 29. lim F(x) 31. lim + F(x) x-2 X-5 26. lim F(x) X2 28. lim F(x) 30. lim F(x) X-6 32. lim_ F(x) --2- X4 For Exercises 33-40, use the...
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v and the net is described by the given equation...
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v and the net is described by the given equations. 26. v = (x _ y, z + y 4, z~ ), net given by y = I-x2-z2, y 0, oriented in the positive y-direction
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of...
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the net if the velocity vector...
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v and the net is described by the given equations. 28. v (zy, xz, xy), net given by y = I-x-z, for x, y, z ented in the positive y-direction 0 ori-
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the...
In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2...
#35,37
In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
Write the codes as a text so I can copy them pls. ALso, post a picture...
Write the codes as a text so I can copy them pls.
ALso, post a picture for testing by using
MARS
Dont forget to coment each step pls
Write a complete MIPS-32 assembly language program including data declarations that uses a function "Eval-Z', which evaluates the following expression Z = X-3(Y/ 8 + 125). Assume that caller program passes the values of X and Y to the function using registers Sa0 and Sal respectively while the result of executing the...
9,17,33 and ill like cos 22 14. 2+1 In Exercises 1-26 find the Taylor series for...
9,17,33 and ill like
cos 22 14. 2+1 In Exercises 1-26 find the Taylor series for the function about the given point. In each case determine values of z for which the series converges to the function. 3 1. + about zo = 0 2. 1+2 about = 1 3. (1 - 2)2 about 20 = 0 4. e* about 20 = 1+i 5. sin z about 20 = i 6. cos z about zo = 2 - 7. sinh...
pt 3 (1 point) The expression can be written as eft), where f(x) is a function...
pt 3 (1 point) The expression can be written as eft), where f(x) is a function of . Find f(x). f(x) = x+2
number 1 and 2 pls Problem 1.1. Suppose that f: R → R and that f...
number 1 and 2 pls
Problem 1.1. Suppose that f: R → R and that f is differentiable at z = a. 1. Show that, given an angle 6, we can choose 6(0) > 0 small enough so that for all r such that r - al < (0) we have that the graph of f(r) lies inside of the cone with angle e around the tangent line. 2. Can you find explicit formulas for 6(0) for the function f(x)...
Question 4(25 marks) Find the critical points of following function, then determine whether they are relative maximum, relative minimum or saddle points i. f(x,y) 3x2-2xyy2- 8y [Smarks] [5marks] [5marks] iii. f(x,y)--2x + 4y-x2-4y2 + 9 b) Find the divergence and curl of the following vector fields i. F(x, y, z) = x2 yi + 2y3zj + 3zk [5marks] ii. F(x, y,z) x sin y i+4xyz j - cos 3z k [5marks]
26. This exercise and Exercises 27 and 28 give Dirichlet's beautiful proof that 2 is a biquadratic residue modulo p iff p can be written in the form A 64B', where A, Be Z. Suppose that p1 (4). Thenp b by Exercise 24. Take a to be odd. Prove the following statements (a) (a/p)1 b) (a b)lp) a (c) (a b) 2ab (p. (d) (a b(2ab)4(p). [Hint: 2p (a + b)* + (a bJ p-1V2 P14
26. This exercise and...
Question 25, 27, 39
Question 25, 27, 39
For Exercises 25-32, use the following graph of F to find each limit. When necessary, state that the limit does not exist. YA 6 F 4 2 1 $-4-3-2-1 1 2 3 4 5 6 -3 25. lim F(x) 27. lim F(x) 29. lim F(x) 31. lim + F(x) x-2 X-5 26. lim F(x) X2 28. lim F(x) 30. lim F(x) X-6 32. lim_ F(x) --2- X4 For Exercises 33-40, use the...
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v and the net is described by the given equations. 26. v = (x _ y, z + y 4, z~ ), net given by y = I-x2-z2, y 0, oriented in the positive y-direction
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of...
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v and the net is described by the given equations. 28. v (zy, xz, xy), net given by y = I-x-z, for x, y, z ented in the positive y-direction 0 ori-
In Exercises 25-28, a net is dipped in a river. Determine the flow rate of water across the...
#35,37
In Exercises 21 through 38, differentiate the given function and simplify your answer 21. f(x) (2x 3)14 22. fx) 23. f(x) = (2x + 1)4 24. f(x) = V 5x6-12 25. fx)-(a 4r3 78 26. ft) (3r 729)5 27, f(t) = V5 3x 28. f(x)=- (6x2 +5x+ 1)2 5rt_ V4x2 30. 4x +1 31. f(x)=: (1-x2)4 2 3(5x4 1)2 32. f(x) = (1-x2)4 (135) f(x) = (x + 2)3(2x-1)5 36. f(x) 2(3x 1)(5x 3)2 (1 -x 1 - 5x2...
Write the codes as a text so I can copy them pls.
ALso, post a picture for testing by using
MARS
Dont forget to coment each step pls
Write a complete MIPS-32 assembly language program including data declarations that uses a function "Eval-Z', which evaluates the following expression Z = X-3(Y/ 8 + 125). Assume that caller program passes the values of X and Y to the function using registers Sa0 and Sal respectively while the result of executing the...
9,17,33 and ill like
cos 22 14. 2+1 In Exercises 1-26 find the Taylor series for the function about the given point. In each case determine values of z for which the series converges to the function. 3 1. + about zo = 0 2. 1+2 about = 1 3. (1 - 2)2 about 20 = 0 4. e* about 20 = 1+i 5. sin z about 20 = i 6. cos z about zo = 2 - 7. sinh...
pt 3 (1 point) The expression can be written as eft), where f(x) is a function of . Find f(x). f(x) = x+2
number 1 and 2 pls
Problem 1.1. Suppose that f: R → R and that f is differentiable at z = a. 1. Show that, given an angle 6, we can choose 6(0) > 0 small enough so that for all r such that r - al < (0) we have that the graph of f(r) lies inside of the cone with angle e around the tangent line. 2. Can you find explicit formulas for 6(0) for the function f(x)...
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