f(x) = 2x° - 3x2 - 36x + 8 Q (-5,5,1] by [- 90,90,10]

Q: Find the linearization of-ƒ(x, y) = x2 - xy + 1- 2 y2 + 3?

A: Here we have,  f(x,y) = x2-xy+1-12y2+3 at (3,2)

Q: Solve by Chain Rule f(y) = /2y + (3y + 4y²)³

A: Given that       f(y) = √{2y+(3y+4y2)3}

Q: Use Cramer’s Rule to solve x + 6y − 4z = 10 4x − y − 3z = −8 x + y − 2z = 7

A:

Q: Find the derivative of  g(z) = 4z7-3z-7+9x

A:

Q: Solve using MUC. y" +4y=3sin2x 3+3+5+ y = C₁ cos2x+ C₂sin2x - -Xcos2x 4 y=C₁ cos2x + C₂sin2x +…

A:

Q: Find the derivative of the function. 8) q =V10r - 15 -5r4 A) - V10r -15 B) 2/10r - 15 C)- 2/10 - 514…

A:

Q: What is the counterexample of x+x>x ?

A:

Q: Solve 2sinx- V3 = 0 on interval [0,2 t)

A: We have to solve  2sinx - √3 = 0 on interval [0 , 2π)  Since ,  2sinx - √3 = 0  2sinx = √3

Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

A:

Q: Solve the equation 2x+y-z=1,x-y+z=2,5x+5y-4z=3 by Cramers rule

A:

Q: Find the derivative 95x+2 y = 3x2 +5 f(t) = 4tan 3t cos 3t2 %3D

A:

Q: Use method of variation of parameters. y" +2y-8y = 2e-2x - e-x.

A:

Q: find the first and second derivatives

A: Given expression: w=3z7-7z3+21z2

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: Find the derivative by using the quotient rule. 3x-2 (a) 2x +3 Jx +2 (c) x2 3+2x (b) x² +1 (d) *+2

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

Q: h(x) = Vx – 2 on the domain [2, 5]. -

A: The given graph is:

Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative:…

A:

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: By using false position method find f(x) = e* - 2 u %3D

A: Attached solution :

Q: Apply the Gauss-Seidel method to the system

A: the Gauss-Seidel method to the system x1 - x2 = 1 and 2x1 + x2 = 5 with initial approximation [0  0]…

Q: If y = (x+1)/(2x - root x' then y' will be?

A:

Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

A:

Q: I Sdve for dy using the four-step rule 2. y = x"- x 5X-3 ソ= 4- 3X

A: We have to solve the problem

Q: What is the value of x in (2x - jy) + (y - jx) = 1 - j5?

A: We have to find the value of x where 2x-jy+y-jx=1-j5

Q: Solve using Cramer's Rule: (2x z = 14 3x - y + 5z = 0 4x +2y + 3z = -2

A: The equation can be expressed as 2x+0y-z-14=03x-y+5z+0=04x+2y+3z+2=0use Cramer's rule to find the…

Q: Solve by Chain Rule f(y) = /2y + (3y+ 4y²)³

A: Chain Rule of differentiation :      If f(y) and g(y) both are differentiable function and F(y) is…

Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

A:

Q: 7x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?

A: Given

Q: What is the fxx, fyy, and fxy of f=(2x^4)+(y^2)-(x^2)-(2y)?

A:

Q: Use Cramer’s rule to solve for x 2x=3y-4z+11 9x+y=z-1 3x-4y=7

A: Given,

Q: Find fxy(x,y) if f(x,y) = (x² + y²) 7. fxy(x,y) = ...

A:

Q: Verify that 0t ду дх дх ду 2. 3 y 3 f (x, у) %3D 2х*у — х"у — ху

A:

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

Q: the functiOn y sin 2-x+ -2, deter

A: Amplitude, period, phase shift and vertical shift: A periodic function is of the form…

Q: Find the derivative. Using Chain Rule y = (2x2 – 1)3(3x² + 1)³ |

A: According to question,Given Function,y = 2x2-133x2 + 13

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: f'(x) 2 -4 -3 -2 1 2 3 4 -1 -2 -3 Concave down: 1

A:

Q: Calculate Vf when f 3x 2- y z' + 4x'y + 2x - 3y - 5 at the point (1, 1, 0).

A:

Q: 6) qyo -x² +2x + S%y +62=0 sty

A: 6)

Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: maximise I1 + 2r2 I3 subject to z + 4r2 + 13 0, I2 unrestricted

A: The given problem is maximize x1+2x2-x3 subject to x1+4x2+x3≤1,-2x1+x3≤x2,4x1+2x3≥-7,x1≤0,x3≥0,…

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A:

Q: Use Cramer’s Rule to solve:…

A:

Q: Solve Utt - c²uxx = 0, –n 0, %3D и(х, 0) %3D f(x), и(-п,t) %3D0 %3D и(п,t), и,(-п,t) %3D 0 %3Du,…

A:

Q: Use Cramer's rule to solve for y. 5x + 4y + 4z = 39 4x +3y-2z 15 4х - 5y - 4z%3D -15 |

A:

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: find the first and second derivatives w = 3z7 - 7z3 + 21z2

A: Given the function, w = 3z7- 7z3 + 21z2 Differentiating with respect to "z" dwdz =…

Q: If x < 0 and y > 0, determine the sign of the realnumber. xy

A: Let x<0 and y>0

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.