30. S = {-3 + 6x, 3x², 1 – 2x – x}

Q: 2. y = Vtan x

A:

Q: So lve メi4,3. &メ ーツ +豆 =4 X + 3y -Z =l| 4x + リーZ =14

A:

Q: Eliminate the arbitrary constant in cy^2 = x^2 + y. *

A: To eliminate the arbitrary constant in the given equation.

Q: Compute R' (x). OR (a) = 70 + 0.04x %3D OR (x) = -70 + 0.04x OR'(x) = 70 – 0.04r %3D OR'(x) = 70x –…

A: We have to find R'(x).

Q: 26. sec (- 2r) = - V2

A: Given that sec-2x=-2. We know that secx=1cosx.

Q: [- 10,10] Xscl = 1 [- 500,500] Yscl = 50 f(x) =x - 10x - 12x2 + 234x- 463

A:

Q: 2. Differentiate: y=7*in¨"x

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: 2-fx (sec²x)dx

A: Given:

Q: where wage is measured in hourly wage and female is a dummy variable (1 if the person is female, and…

A: a) Formula for R2: R2=1-RSSSST    =1-SST-SSR148.33   =1-148.33-127.62148.33   =1-0.1396   =0.8604…

Q: dt 1). S V16-9t2

A:

Q: S√4t² + 3 dt

A:

Q: Min Z = 5x1+10x2+2x3 s.t: 7x1+3x2+2x3 > 50 8x1+x2+3x3 0, x2 Unrestricted x3 <0

A: We are given the following system. Min Z =   5 x1 + 10 x2 + 2 x3 subject to   7 x1 + 3 x2 +…

Q: 5. x Sx+2 12 6. mZx and mZy 135

A: Isosceles triangle: An Isosceles triangle is a triangle which has two equal sides. Also, the two…

Q: if 5. 1.6x* +4.3 コつ dy ニ

A: We first write y using exponents. y=1.6x2+4.35y=1.6x2+4.315

Q: Ex (S-5) (S-5)-

A: Explanation of the answer is as follows

Q: 16 2){-1 ls(s² + 4)²,

A:

Q: 2- S --y Vty zdzdxdy

A:

Q: 1.X" to qx' +5x, = 5ot x'l6) :: -5 , x6) - 5

A:

Q: 5. 1 Z+₁ 3z 2 dz

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: (4x+3y 2 12 7x+6y S 42 2) x20 y20

A: Since you have posted more than one question, we solve the first one for you. For the remaining…

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

A: The given equation is,

Q: Max Z= 5x1 + 7x2 S.T X1 + X2< 4 3x11 + 8x2 <24 X1 and x2 2 0.

A: The LPP is given as Max z=5x1+7x2 subject to x1+x2≤43x1+8x2≤24x1≥0x2≥0 We will solve it by Graphical…

Q: $. 12-1 (2²+-)(2-2) 1-4z+6z² 1 -dz .d

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Ex: 5 : R Ex: 5 € → R -5x1 – x2 – x3 T X2 x1 + 4x3 x3 Ex: 5 T -1 Ex: 5 -3

A:

Q: max z = 3x1 + x2 s.t. 2x1 + x2 < 6 X1 + 3x2 < 9 X1, X2 2 ()

A:

Q: d/dt ŷ = [3 1] ŷ, ý(0) = [8] [-2 1] | [6]

A: Given that dy^dt=31-21y^ with initial condition y^(0)=86 Let A=31-21 and eigenvalue of A is λ. Then…

Q: 13B 1 x z+7;0<x< 1 x 21 Fx (x) = 0; x< 0.

A: Part (i) The relation between Probability density function and cumulative distributive function is,…

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

A:

Q: 13. -(р — q) -рл-а 14. (р — q) л(р — г) %3D р — (q л г) 15. (р — г) л (q - г) %3 (pvq) — r

A:

Q: Calculate x-z lmage 24 ) 8х -2 2x + 1 z + 22 3z O 10 O 10

A: Solution

Q: x3 2. J Sadx 2. 3.

A:

Q: 18y - 17 dy 3/2

A: Topic = Integration   Formula used∫x dx = xn+1n+1+C

Q: Solve for x: V3x +6 +V4x – 5 = 3 (4х — 5 3D 3 x= – 74+42/3 74+ 42V3 x = 74 – 42/3 x = 74 +42y3

A:

Q: 1 L-1 (s²(s + 1).

A:

Q: 7 5. S dx 2 2 3 xVx-4

A:

Q: 2) Min(Z) = 4X1 + 6X2 S.T. 5X1 + 10X2 12 X1,X2 20

A:

Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: the 1) By uing of far 3 deliv ahve 3x at X-2 . %3D

A:

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: 11 7 -4 dx = V7x + 5 7

A:

Q: 43. YA 3 -1 y=2x L (3, 3) 3x

A:

Q: ∫_0^2▒dt/√(4+t^2 )

A:

Q: 6. S(1+ 3*)²dx

A: First of all we need to integrate the function then apply the limits

Q: Estimate (8.06)-/³ using differentials. (8.06)2/3

A: The given expression is

Q: Assume that y = 69 when x = -3, y=-72 when x = 15 and y = 99 when x = 27. If we…

A:

Q: 8. 5) Evaluate | x2n-1e-kx² dx

A: Definition of Gamma Function:  The function which is given by the improper integral  Γ(n)=∫0∞ xn-1…

Q: 12. Find the antiderivtive: 9x°- 6x -2

A:

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

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

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.