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1 Calculate maximum value of y= arctan )...
Question 1 12 Evaluate: So x2 arctan(x) dx = HTML Editor B I y A -...
Question 1 12 Evaluate: So x2 arctan(x) dx = HTML Editor B I y A - A - IX EE 3 7 2 xx, 5 E * CV TT: 12pt
3) Find the absolute maximum and absolute minimum values of x2 Y2 2x2 Зу? - 4x...
3) Find the absolute maximum and absolute minimum values of x2 Y2 2x2 Зу? - 4x - 5 on the region 25 + + 2Y2 Show that the surfaces 3X2 Z2 4) 9 and x2 Y2Z - 8X - 6Y - 8Z + 24 0 have a common tangent plane at the point (1, 1, 2) Find the maximum and minimum values that 3x - y 3z attains on the intersection of the surfaces x + y 5) 2z2 1...
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 +...
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 – 4x – 5 on the domain x2 + y2 < 100. The maximum value of f(x, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(x,y) is: List points where the function...
Q5.1 8 Points 05.16 Show that of arctan x3 - dx = € (-1/n+1 23(2n –...
Q5.1 8 Points 05.16 Show that of arctan x3 - dx = € (-1/n+1 23(2n – 1)2 2 Q5.2 8 Points Determine at least how many terms of the series in part Q5.1 should be added up to approximate the value of - dx with an error less than "Jo X arctan x3 300
15.8.15 Question Help The function f(x,y) = 4x2 + y2 has an absolute maximum value and...
15.8.15 Question Help The function f(x,y) = 4x2 + y2 has an absolute maximum value and absolute minimum value subject to the constraint x² + 6y + y² = = 40. Use Lagrange multipliers to find these values. The absolute maximum is & 11 ULUIT.JU, JU UI 40 15.8.23 Question Help The function f(x,y,z) = 2x +z has an absolute maximum value and absolute minimum value subject to the constraint x2 + 2y2 + 2z2 = 9. Use Lagrange multipliers...
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3....
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
Find dy/dx of the next relations Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b&#...
Find dy/dx of the next relations
Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b'x 4) y= atan (t); x = bcor (t) 6) x+2 7) y = 2v+ 45; donde v 52., W sec X 8)4x+3 8xy+e -e+ 8cos[tan(y)] = 0 arcsec (); x = elog2 (Int) 9) y 10) y sen[tan(x )] 11) y = cos[sen' (x)] cot + 4 12) y 13) y = [sec'(secx))P 14) y [Beae...
4. Define the function f: 0,00) +R by the formula f(x) = dt. +1 Comment: The...
4. Define the function f: 0,00) +R by the formula f(x) = dt. +1 Comment: The integrand does not have a closed form anti-derivative, so do not try to answer the following questions by computing an anti-derivative. Use some properties that we learned. (a) (4 points). Prove that f(x) > 0 for all x > 0, hence f: (0,00) + (0,0). (b) (4 points). Prove that f is injective. (c) (6 points). Prove that f: (0,00) (0,00) is not surjective,...
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures an...
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures and present it below (12 points): your mumerical result for the ae ust be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark...
PLEASE SHOW WORK!!!!!! 9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x))...
PLEASE SHOW WORK!!!!!!
9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x)) = 10) From a point on a cliff 85 feet above water level an observer can see a ship. The angle of depression to the ship is 40. How far is the ship from the base of the cliff? sec? x 11) Verify the identity: -tan’x = tan x cotx 12) Find all solutions algebraically in the interval [0, 2T): sec? - 3 tan...
Question 1 12 Evaluate: So x2 arctan(x) dx = HTML Editor B I y A - A - IX EE 3 7 2 xx, 5 E * CV TT: 12pt
3) Find the absolute maximum and absolute minimum values of x2 Y2 2x2 Зу? - 4x - 5 on the region 25 + + 2Y2 Show that the surfaces 3X2 Z2 4) 9 and x2 Y2Z - 8X - 6Y - 8Z + 24 0 have a common tangent plane at the point (1, 1, 2) Find the maximum and minimum values that 3x - y 3z attains on the intersection of the surfaces x + y 5) 2z2 1...
(2 points) Find the maximum and minimum values of the function f(x, y) = 2x2 + 3y2 – 4x – 5 on the domain x2 + y2 < 100. The maximum value of f(x, y) is: List the point(s) where the function attains its maximum as an ordered pair, such as (-6,3), or a list of ordered pairs if there is more than one point, such as (1,3), (-4,7). The minimum value of f(x,y) is: List points where the function...
Q5.1 8 Points 05.16 Show that of arctan x3 - dx = € (-1/n+1 23(2n – 1)2 2 Q5.2 8 Points Determine at least how many terms of the series in part Q5.1 should be added up to approximate the value of - dx with an error less than "Jo X arctan x3 300
15.8.15 Question Help The function f(x,y) = 4x2 + y2 has an absolute maximum value and absolute minimum value subject to the constraint x² + 6y + y² = = 40. Use Lagrange multipliers to find these values. The absolute maximum is & 11 ULUIT.JU, JU UI 40 15.8.23 Question Help The function f(x,y,z) = 2x +z has an absolute maximum value and absolute minimum value subject to the constraint x2 + 2y2 + 2z2 = 9. Use Lagrange multipliers...
2 + COS- 2.ry dy d 1+y2 = y(y + sin x), 7(0) = 1. 3. [2cy cos(x+y) - sin x) dx + x2 cos (+²y) dy = 0. 4. Determine the values of the constants r and s such that (x,y) = x'y is an Integrating Factor for the following DE. (2y + 4x^y)dr + (4.6y +32)dy = 0. 2. C = -1 You need to find the solution in implicit form. 3. y = arcsin (C-cos) 4. r=...
Find dy/dx of the next relations
Sol: y ylx 1 1-Cx C 2) 1+cx y' (1+cx1-cx a+bx ab 3) y= In Va-bx y's a2-b'x 4) y= atan (t); x = bcor (t) 6) x+2 7) y = 2v+ 45; donde v 52., W sec X 8)4x+3 8xy+e -e+ 8cos[tan(y)] = 0 arcsec (); x = elog2 (Int) 9) y 10) y sen[tan(x )] 11) y = cos[sen' (x)] cot + 4 12) y 13) y = [sec'(secx))P 14) y [Beae...
4. Define the function f: 0,00) +R by the formula f(x) = dt. +1 Comment: The integrand does not have a closed form anti-derivative, so do not try to answer the following questions by computing an anti-derivative. Use some properties that we learned. (a) (4 points). Prove that f(x) > 0 for all x > 0, hence f: (0,00) + (0,0). (b) (4 points). Prove that f is injective. (c) (6 points). Prove that f: (0,00) (0,00) is not surjective,...
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures and present it below (12 points): your mumerical result for the ae ust be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark...
PLEASE SHOW WORK!!!!!!
9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x)) = 10) From a point on a cliff 85 feet above water level an observer can see a ship. The angle of depression to the ship is 40. How far is the ship from the base of the cliff? sec? x 11) Verify the identity: -tan’x = tan x cotx 12) Find all solutions algebraically in the interval [0, 2T): sec? - 3 tan...
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