2. DG = 3x - 3 2x +2, EF D. G.

Q: dy = 3x² – 1 and if y= – 1 when × =1, then Y= dx If

A:

Q: 3) Evolvate Ci(0) e²/z dz е

A:

Q: dy Determine = given y = (7u² – 2) if u %3| dx

A: Topic:- derivatives

Q: The numerical value of [² ['ze'dxdy 0 3/2 2e dxdy is equal to ....

A:

Q: If dy/dx= 5y+2 and y(0)= 3. What is the value of x when y=2?

A:

Q: If 4x²-2y²=9, then find dy/dx.

A: Using defination of differentiate

Q: Evaluate the integrals

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: •3 fx(2-x) 10. dy dx 0. r2VIn 3 VIn 3 35. •VIn 3 et dx dy

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (c) S, y*/1- y² dy

A:

Q: S'(1 + v=)dz b)

A:

Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

A:

Q: b) S(2cosx – V) dx

A:

Q: 1. If y? = 10x , then dx2 d²y 5x А. 2ху 2y 5ху С. D. 2x 2 B.

A:

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

A:

Q: | f(x)dx = 3 and f(x)dx = 7 , then (2f(x) +3)dx = If 4

A: TO FIND ∫43(2f(x) +3) dx GIVEN - ∫03f(x) dx = 3 ∫04f(x) dx =7 USE THIS PROPERTY TO SIMPLIFY- ∫abf(x)…

Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

A:

Q: dy -1,-if x²+y?=9 then dx 1- 2- y 3-х-у 4- (x+y)/3 2-

A: The equation is given by x2+y2 = 9                                        .........1 To evaluate:…

Q: By using completing the square dx can be written as V4 + 2x + x2 dx 3 +(x+2)2 dx V4+(x+2)² dx 3 +…

A: Given, ∫x4+2x+x2dx  We have to write it again using completing the square.

Q: zc)z (32- 5х) dx —

A: We have to find

Q: S fAx)dx=10 and | f(x)dx=3, then (4 – x)dx=? -

A:

Q: dy A4. If x = 3t2, y = t³ then dx

A: Given that x=3t2,y=t3 find dydx

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

A:

Q: If x2+3x2y4=y+8, find dy/dx

A: Use the basic concept of derivative and differentiate the given equation.

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

A:

Q: 2. Given that x2 + x-5 and y = when x = 2, find the value of y when x = %3D dx

A: Given: dydx=x2+x-5 and y=53 when x=2. Now, given equation dydx=x2+x-5 can be written as:…

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: j dx (2x-3) 15-12x+cx 2

A:

Q: Evaluate: -2 rz² LLL "3yz² dx dy dz •y+z

A:

Q: HCt-2) Cosh(6(t-2))est ?

A: Given: Ht-2cosh 6t-2e8t

Q: What is the value of (2.0)given y = 2sin(4x) dz

A: This can be done as follows:

Q: (2x² – ye")dx – et dy = 0.

A: Consider the differential equation  2x2−yexdx−exdy=0

Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

A:

Q: d²y if 2x2 + 5y² = 9. Find %3D dx2 Provide your answer below: -口 dy dx2

A:

Q: If x3+y3=19, find the value of d2y/dx2 at the point (-2,3).   The value of d2y/dx2 at the point…

A: x3+y3=19 Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: у4у? -16у +19 dy (y-2)°

A: This indefinite integral can be solved by the substitution method.

Q: If x^(1/3) + y^(1/3) = 4, find d2y/dx2 at the point (8, 8).

A: Applying derivative for the given equation with respect to x:

Q: dy If dx and y = 14 when x = 1, find y(2). 3x-2 27

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Q: Evaluate , Sd-2, r2(1-z) dy dx dz

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Q: dy If dx and y (2) = 5, then

A:

Q: dy If = 3x2 – 1, and if y= –1 when X=1, then Y= dx

A: We need to integrate the given to solve it

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: If x3 + y3 = 16, find the value of d2y/dx2 at the point (2, 2).

A: Given:

Q: (уe*у — 2у3)dx + (хе*У — 6ху? — 2у)dy %3D0 -

A:

Q: r z+9z-2z2+19z-8 (z²+4)² dx

A: Given: ∫x5+9x3-2x2+19x-8(x2+4)2dx first, we perform a long division for the integrand. then use the…

Q: 1. (D* + D' – 7D® + D° + 22D* – 22D³ – 20D² + 40D – 16) y = 0

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Q: dy If y = e4a+19 then dx

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Q: ~2 (c) V2x + 3 dx 0,

A:

Q: 3. to 4. Hox - 9x²+8dx 2- 十一X dx

A: ∫10x4-9x2+8x2dx

Q: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?

A: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.