5. y = (x + 1)²(x² + 2x) 6. y = (2x – 5)(4 – x)- |

Q: 7 --y2 Then 2 5 Q2: If z = –x² az + 5x ду az 7y ||

A:

Q: (a) 3 Differentiate y= y 3= us ing first principle. 2x+2

A: we are allow to do one question at a time  if you rest of answere please specify that part and…

Q: 1 If y = V1-x then y' = 2/1-x

A:

Q: Max z = 5x, + 6x2 x1 + x2 S 5 ( Machine A) 4X1 +7X2 S 28 (Machine B) s. to X4,X2 INTEGER

A: Consider the given system of equations.

Q: - (10, 7); 5x-6y = 18 m- %3D とーX5=h 5x+16 (01-x)3こレス G

A:

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

A: Given that  If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7

Q: 21. - 20ху-(-5х) %3D ху-Зу+x х-(ху+x) 22. %3D Зу 5ху -3x +4ух 23. 10хy +4x - (-Зу)

A:

Q: 3. zy if y + x² – 3xz = 222

A:

Q: 3. Differentiate the following x2-1 a) y = x2+1

A:

Q: 2)y"-9у-0 -9Y3D0

A: y''-9y=0

Q: what is perpendiclar to AX+y-5=D0 and contains points (2,3)(-212)

A:

Q: on of y" – 2y' + 2y =

A:

Q: 2y = xx -1-In(x+vx² -1)+c

A: Given the family of curves is 2y=xx2-1-lnx+x2-1+c. Find the orthogonal path of the above curve.

Q: Qil If y , Show that y=2x- 2y3

A:

Q: 16) If x = 5y-3 and y = -2a3, express x in terms of a.

A:

Q: How can I calculate using Excel?   Suppose X~N(193,7), and Z~N(0,1). Then x = 204, is equivalent…

A:

Q: 82z 8. If z = x + y lnxy, show that x- 82z + ミy2 82z 8y2 8x2 δχδν

A:

Q: 2 |12-x²+ x) dz. -3

A: Given: ∫-32(2-x2+x)dx

Q: 3. 2. Z dydxdz 2=0 X=Z

A:

Q: ∫-21 (6-x-(x2+4)) dx= ∫-21 (-x2-x+2)

A: The given equation is,

Q: f(x) = e 6x +7 In (7x- 9)

A:

Q: 2. If 4x² – 9y² = 27, show that y" 9y5

A:

Q: 2. If x =-1 and z = 2y = -3x, find the value of 3xy-z 1+3x²z

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: 1. Differentiate: y = 3(x²-1) A. (In 3) 3(x²-1) B. (2x) 3(x²-1) C. 2x (In 3) (3**-1) D. x²(In…

A:

Q: 6(-ズ) -2Xg +zy= @ y'= -2xy 6ずー+メ =o S(+2x)ず+3x+}=0 3-を

A: Given The given differential equations are (A) (1) 1-x2y"-2xy'+2y=0 (2) y'=-2xy (5) y'-y=0

Q: 10. (x² – 9) – (-2x² + 5x - 3) 11. (5 – 6d – d?) – (-4d - d2) 12. (-4x + 7) – (3x - 7)

A:

Q: y = (1+ v) (2 - 2V=) 11 5 3 -3x+-x 2- 3 -3x 2 2 11 5 - 3. O Option 2 O Option 1 3 5 2 2 3 5 2 2 11 5…

A:

Q: If y= (5x+1) (2x-1-1n7), then y’ will be (5X+1) 2/X2 +1/7 + 5( 2X -1- 1n 7)

A:

Q: - -X-4-z=4 2X- 2X+G-3z=- X 0-42=3

A:

Q: 30x +31x2 - 25x 6 Ehe domain of f(x) = \ 1213 59r2 11la + 30

A: Given function is fx=30x3+31x2-25x-612x3-59x2-11x+30.

Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: * IN 13. g(x) ={Vx+6, -5 sxS1 %3D -+8, x>10

A:

Q: Q2) Show that y = 35 x* – 30 x2 +3 satisfies ( 1- x² )y" – 2xy' + 20y = 0 %3D

A: y =35x4 - 30x2 +3 satisfy (1-x2)y" - 2xy' +20y =0 for this wew find  y" and y' y' = 140x3 - 60x y" =…

Q: x3 2. J Sadx 2. 3.

A:

Q: [ 1-x+2x²-q³ -d.x 6. x(x²–1)²

A:

Q: 3. 5x + 5y = 15 2r - 2y = 10 Y-exie X-8xis 3. 2. -2 -4 -5

A:

Q: 2. Use a trig substitution to evaluate S dx x³√²-16' x> 4.

A:

Q: 32. In y = 2y² - x; (2, 1)

A:

Q: 1) x² + 9y² + 9z² = 81 2) 9x2 + y² + 9z² = 81 3) 9æ? + 9y? + z² = 81

A: Given equations 1)x^2+9y^2+9z^2=81 2)9x^2+y^2+9z^2=81 3)9x^2+9y^2+z^2=81

Q: 1. Find XY when X(-7, 10) and Y(3, 4).

A: GivenX≡-7, 10Y≡3, 4To find XY

Q: 2) Find dy of: 7x 5 上 (3-2x

A: We know that  ddx(xn)=nxn-1

Q: MAX Z= x,+2.x2 X+2x2 subject to X+ x224 2x, +2x0

A:

Q: 3. Is (3,8) a point on y = 3x - 1?

A: if (3,8) is a point on the line y =3x-1 then it should satisfy the equation y =3x-18=33-18 =9-18 =8…

Q: 9) y = вод по- 10) У th 4x 1+₂x exbx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 32. If WY = 15x - 2 and XZ = 9x + 10, find WY. DELL

A: Here I am solving question 1 if you want the answer of second question repost the another question…

Q: x2 + (3y ÷ 6) − z  when  x\ =\ 9x = 9, y\ =\ 8y = 8 and  z\ =\ 11z = 11

A: x2+(3y÷6)-zx=9 , y=8 , z=11

Q: トン メ+??-9 zy +3=8 4X -3y =-2 Ans / X=1 ウ-2?こ4

A:

Q: 2P 2+ y= since) see' (=?)

A: y=sin(z)sec-1(1+zz2)

Q: et xー4x-i7x +12 . Find xS. y'= 3x=-8K-17 y"- 6K -マ y"! =6' i2 y= x- =人 - 6x2 + 3x-2,what is 12

A:

Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.5x2 −…

A:

Q: -y=In(5x -2x+1) 3 In n(5x² -2x+1 %3D

A: This is the problem of function.

Q: 3. 1 S [(2x - 4y)dydx 31 1 -1

A:

Q: ) ŷ+ 2ỳ – 3y = 3e¬* X- -

A: Here is a step by step solution of the given differential equation.

Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows

Q: x² + 4x + 20 = 0 %3D Ay 30 20 10 -9- -4 -2 2 x

A: Let p(x) =x2+4x+20

Q: 5. ) If 3x + 4yi = Z2, what is x + y equal to?

A:

Q: 3. lim (4x + V16х2 — 3х) x--00 А. 3/8 В. -3/8 С. 8/3 D. -8/3

A:

Q: 4.t=3-2x2ー15x+14 5.k)-8x4-43x-15x2+101メト70 l6.(x)=x+5x3-27ッ2 -10x-70

A: As per guideline we have to solve one question Please repost other question again 2nd question is…

Q: (b) Evaluate [(2.x+5)/x² +5x-8 dx, by using substitution method.

A: We use substitution method

Q: Prove Formulas (1) - (9) Differentiate y = √3x². - 1 √5x = = (3x²)¹/³ – (5x)−¹/2

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.