11. F = (3x2 - 3x)i + 3zj + k

Q: 3tan z sec? x dr 2.

A:

Q: Find: that: fl4) = -8 f'(4)= -8 %3D glx)=r

A: Given: g(x)=x f(x)f(4)=-8f'(4)=-8

Q: Give the general solution to the equation x' Ax where A = %3D

A: To find the general solution of the given system, first we find the eigenvalues and corresponding…

Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

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: 2. F(x, у) %3D — (у i-2x) y2

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 2x –1 1 , show that y"+ y' + xy +1 c) If y =-

A:

Q: To the reci max z Ax1 +B x2 A=6 s.t. 2x +4x 2 12, B=1 -X1 + 2x2 S 2, X1 20, x2 Free.

A:

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: Find the equation bounded by x = 9yeY and x = 3y2, y = 3 and y = 9 %3D %3D Write your answer in two…

A: solution is given below

Q: Čonvert the following equation into standard form. 7x y = - - 3 %3D 2 [?]x+ [ ]y = [ ]

A: The given equation is y=-7x2-3

Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D A y +3

A:

Q: Sketch Z= 2x^2 + 3y^3

A: Given, Z=2x2+3y3 To find: Sketch the plot for Z

Q: I have equation 3x(y-x)=0. Is it true that x here is equal to 0 and y is equal to x? How can I show…

A: To check:  Whether x here is equal to 0 and y is equal to x. Given information: The equation is…

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

A:

Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+C₁e-ax using 2…

A:

Q: f(x, y) = In(4x² - y) %3D

A:

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

A: It is given that, x < 0 and y > 0

Q: Give the general solution to the equation x' Ax where A %3D %3D 3

A:

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

A: The given graph is:

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

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

A: Attached solution :

Q: Dyy 2y-x; %3D

A:

Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using 2…

A:

Q: 1 (b) X(s) (s + 1)³(s + 3)

A: We will find out the required value.

Q: Find the equations of the line that is tangent to f(x) = x4 - 3x² + 2 %3D at x 2

A: To find: The equation of the line that is tangent to f(x)=x4-3x2+2 at x=2. Calculation: The first…

Q: (b) Differentiate (Vx+ 1) with respect to x. 2/3

A: as per our guideline we can solve maximum one question you can repost other questions

Q: y = v1- x+ x2 ||

A:

Q: y = In /2x

A: The function is given by y = ln2x

Q: 2. Differentiate the follow a) y = e 2x -ex %3D ex

A:

Q: Evaluate the Cauchy principal value of 2x² - 1 fo dx. x4 + 5x² + 4

A:

Q: 8r2 te V1-4.a

A:

Q: What is the counterexample of x/x=1

A: Follow the steps.

Q: u+ 3z = 5 y +z = 1

A: Matrix: The matrix isA=1211131-11b=451At first we need to find the determinat of A.Ax=b is the…

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

A:

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: If x < 0 and y > 0, determine the sign of the realnumber. x2y

A: Given, The real number is x2y.

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: Find y' for 4x + 5y* – 1 = 132 at the point (2, – 1). | At (2, – 1), y' = Preview %3D

A: Given: 4x5+5y4-132 To find: y'  at  (2,-1)

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find dy ().-0 (27). and X

A: Given 3x2-y2=t2 and y=tsinθ

Q: Sketch Z= 2x^2+3y^2

A: To sketch: Z=2x2+3y2.

Q: a.y=(x6+1)2o %3D

A:

Q: Find fx(x,y) and fy(x.y). Then, find fx(- 4, – 1) and fy(- 1,3). 23| f(x.y) = In |8 + 5x²y³|

A:

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

A:

Q: find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

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

A: Let x<0 and y>0

Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.