x? + y? - 7y, (1, 3, -4)

Q: c. y=4x-x [1, 4]

A:

Q: i=r(1-rX4-r'), = 2–r?

A: The given system of differential equation in polar form is: r˙=r1-r24-r2θ˙=2-r2 Therefore the…

Q: Find x and Y. -3 x -3 19 12 7. (x, y) =

A: The given matrix is -3xy7=-319127. Find the value of x and y. Here we use the property of matrix: If…

Q: 1. y = x* – 2x3 + 5x? – 4, find y*

A: As there are multiple questions, first one is solved here.

Q: = R - 3 (16,1) (e, -3)

A: The area under curve is given by the formula. Area=∫x=ax=bydx

Q: (x-3)2 + (y + 9)² = 36 C(, ) r=

A: the general equation of the circle is  (x-a)2 + (y-b)2 = r2  where (a,b) are the center of the…

Q: A. y= x - 3x + 4 (1, 2) В. х?+4 у? 3 25 (3, 2)

A: Follow the procedure given below.

Q: The coordinate of the midpoint of BD

A:

Q: 3y – 5x 4y3 – 6x³ Subtract: x² - y? x? - y?

A: The given expression is 3y3-5x3x2-y2-4y3-6x3x2-y2.

Q: Vỹ (v - 3), 1<y < 9 X = |

A: Length of the curve is Given

Q: y =2x+y?, y(0) = - 1

A:

Q: 6) y"-3y'-ay= -de*

A: Nonhomogeneous differential equations are the same as homogeneous differential equations, except…

Q: VXER, 3 yER, x-y =

A: Given that : The statement : ∀ x ∈ℝ , ∃ y ∈ℝ , x - y = 5. The statement is false.

Q: X+2y=3 , x-y=6

A:

Q: -2y: 3.

A:

Q: { 2xy? 9x2 + y4 (x, y) # (0,0) (x, y) = (0,0) f (x, y) ·

A: Topic = Limits and  Continuity

Q: r+y3D5 3. r=y+7

A: Given, x+y=5            ......(1)     x=y+7       ......(2)On rearranging the equation (2)⇒x-y=7…

Q: y = a? – 2, y = 2– a?

A:

Q: (2c - 5t-3u) + (c + 3t ) + (3t - 4u )?

A: Given, 2c-5t-3u +c+3t +3t-4u = ?  We have to simplify the expression

Q: 3. 2x y' = y(3x*+y?)

A: We need to solve the differential equation by integrating factor.   NOTE - As per Bartleby's…

Q: - -x, x-2 4) h(x) = y 16 2

A: We will draw the graph of given function by taking arbitrary values of x , and then We get output…

Q: 9x |_the_r-ne S 9x - - 9xdx

A:

Q: 4 y = -x-8 8. (14,-16)

A: Given equation is y = (4/7)x - 8

Q: 5. y°(2x² + y?) = c². RESP. y? = 2x² In Įkx|.

A: We will find out the required general solution.

Q: x-64, y= 8t, -o<t< ∞

A:

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: (x + 6)2, y2 = 1 26 13 x² + y? = 9

A: Given. (X+6)²/26 +y²/13 = 1 X² +y² =9 We can solve the conics by algebraic mathod.

Q: -5/2 y?-2y 4. -/2 - 2y 1/2

A:

Q: O K+ ty-3Z-3=0 2x-y-2- . 3X

A:

Q: y"" + 3y" +3y' + y = 0, y(0) = 7, y'(0) =-7, y"(0) = 11

A:

Q: y" - 8y = 0, y(0) = 4, y'(0) = 5 and y"(0) = 7

A:

Q: y=5x^3, y=5x, x&gt;0

A: The provided equation is y=5x^3  and y=5x

Q: x1/2 + y?/3 = -4y

A: Given: x12+y23=-4y for finding dydx, we differentiate given expression with respect to x

Q: y -7y +10y= 9cost+7sint, 5, y =-4 2

A:

Q: [y = = V +2 u?-1] 3 Vx2 + 2 u2+1.

A:

Q: x² + y = 25 -8x + y? = -8

A:

Q: Simplify: (r = |7|, 7 = xì+ y} + zk) {

A: The solution is given as

Q: (b) y=x-6, (1, 1)

A: answer is in next step

Q: Find x, y and z. 11. y 3.

A:

Q: в хгу" + (у! y" (y) = , - 2+ C

A: The given differential equation is                              x2y''+y'2=0 To solve this…

Q: { 2xy? 9x2 + y4 (x, y) # (0,0) f (x, y) = (x, y) = (0,0)

A: We will discuss limit by using different paths.

Q: xilyz z?)p-y(z²+x)q= z(x+y')

A: Given partial differential equation is xy2−z2p−yz2+x2q=zx2+y2. We have to solve the given equation.…

Q: y" + 7y' + 10y = 0, y(0)= -4, y'(0)=2

A: If we have differential equation   where a,b and c are constant real number then assume the solution…

Q: y= x y 4 3 (2,) -3 (1, 0) 3 x (-2, –2) (0, -1) -3

A:

Q: x² – y? = 4, x² + y? = 12 %3D

A: detailed solution is given below

Q: A ²/ (√x+2-5) (5√y+2+y+21) + C 3

A:

Q: Find x and y. -2 x -2 19 y 5 18 (x, y) =

A:

Q: 16(y")2-24y'y" + 9(y)? = 4x? + 12x + 9

A:

Q: 6. y" + y' – y = 0; when y(-4) = 7,y'(-4) = 1

A:

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

A: