x* – 4x² + x 19. f(x) = x + 1 20. f(x) = x- 2 w - 1 2r + 1 21. g(w) = 22. f(x) = Vw + 1 x- 1 24. f(1) = !+ Vi+ 1 1 - Vi - 1 23. h(t) = 12 +1 w2 - 1 25. y = (31 – 1)(21 – 2)-1 26. А (w) w2 + 1 x* + 1 27. g(x) 28. y = (2Vx – 1)(4x + 1)- =

Q: 6x2+7y2=C satisfies 6x+7yy' given the inital condition y=4 when x=6 what is C.

A:

Q: Obtain the general solution. (D² + 1)y= secx O y= C,cosx+ C2sinx + xsinx - cosxln|cosx| O y= C,cosx…

A:

Q: 3 max z = -X1 + 3x2 s.t. X1 - x2 4 X1, X2 2 ()

A: LINEAR programming problem graphical method

Q: Determine the coefficients of the equation y-ax'+bx²+cx+d so that it will have critical points at…

A:

Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

A:

Q: 1 max z = 2x, + x2 - x1 + x2 s 1 Xị + x2 s 3 s.t. 2x2 < 4 X1, X2 2 0

A:

Q: Maximi

A:

Q: 4 + 8z is The antiderivative of the function f(x) -4 4.0z +c 4. + 4.0z2 + c 4 | 4.0z? + c 8 + 2.0r2…

A: Using anti derivatives means integration.

Q: ₁:w+x+y+z=0 ₂:-w+2y=z=14 13:3x-y-2z=4 T₁:7w-x-y+3z=-8

A: to solve the this we use the gauss elimination process to find the solution of the system of…

Q: particular

A: We find particular solution.

Q: The solution of y2 – x²y' = 0 with IVP (1)= . is given by y(x) = 1+x 1 y(x) = 1+x 1 y(x) = 1+ x2 (x)…

A: Given initial value problem y2-x2y'=0    ; y(1)=12

Q: Max z = x1 + x2 s.t. 2x1 + x2 ≤ 20 x1 +3x2 ≤ 15 x2 ≤ 4 x1, x2 ≥ 0

A:

Q: Suppose ay″+by′+cy=0 with y(0)=d and y′(0)=k has a general solution y=5e^(3x)−xe^(3x).   What are…

A:

Q: 8. Find the general solution of (x2 + y2 + 1) dx + (x2 – 2xy) dy = А. х2 - у? - ху — 1%3D Сх В. х2 +…

A:

Q: x + 2y + z + 4w = 3x + 6y + 5z + 12w 11 30 x + 3y – 3z + 2w = -5 бх y - z + w = -9 - 4-6 X, + 2x, -…

A: Gaussian elimination method: This method is used to solve the system of linear equations. It is also…

Q: 2.8 The antiderivative of the function f(x) 5 is -7.9 + 0.7x +c | -2.8 + 2.0x + c -2.8 .0 + 2.0x3 +c…

A: Need to find antiderivative of f(x)

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

A:

Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7…

A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y…

Q: Minimize c = r + 2s + 3t 3r + 2s + t > 60 Subject To: 2r + 3t > 60 And Where: {r > 0, s > 0, t > 0}…

A: According to the given information it is required to solve the given problem:

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

A:

Q: 12x+1 C) (2x+ 1)2 7) If y= then *+2. dy 12x -1 D) (2x+ 1)2 2x12x•5 A) (x+2)2 7 E) (2x+ 1)2 2x B) 22x…

A:

Q: What is the particular eq. of the given:   y"-3y'+2y= xe^x +1

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary…

Q: the general solution of yv1+x²dx + x/1+ y?dy = 0 using variable separable method. 3. Obtain X-

A:

Q: Jy > -x² + 6x – 12 ly -x² + 6x – 12 ly>x² - 4x – 1 Sy -x² + 6x – 12 Lyzx? - 4x – 1 Syx² – 4x – 1…

A:

Q: What is the general solution of xy(xy5 −1)dx + x²(1 + xy5) dy=0 ? A 2x³y³-3x²= Cx² B 2x³y5-3x²=Cy²…

A:

Q: I'm studying for a precalculus exam and I want help on this problem because I am stuck.

A: Given that,

Q: Show that y = - In x + 3x - 5 is a solution of y" -=0. Use y = - Inx+3x – 5 to find y' and y". y' =O

A:

Q: 1. f(x) =x+6r-7x 2. S)=r-7 +2* 3. F(1) (1+7t) 2x+1 4. g(x)= x-1 1-4u 5. h(u) = 1+ 3u 6. H(s) = avs+…

A:

Q: find the (a) domain and (b) range

A:

Q: X - X (x -x* Y (r-F)} (x-X{r-F) Y-F 2 4 3 6. 6. Compute: X = Y = E(X-XXY-Y)- N-1 B A = Y - B*X = 2.…

A: The table is given as follows x (x-xbar) (x-xbar)^2 y (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 0…

Q: 3. Find the general solution of y" – 3y' + 2y = e" using the method of variation of parameters.

A:

Q: the differential equati x²y' – 2y = Inx² is cje2* + c2e¯* – x + 5 O c1x² + c2x=1 – In x + ; O 2 +…

A:

Q: 2y''' - 3y'' - 3y' +2y =(e^x + e^-x)^2

A: We have to solve the differential equation  For which we first solve the homogeneous equation and…

Q: The graph of y=x'-3x-24x +32 is concave upward on the interval (1, oo) because: O'=y"=0 Oy' is…

A: The given function is y=x3-3x2-24x+32

Q: Derivatives of the sum of functions Find the derivative of thefollowing functions

A: We have to find the derivatives of following functions: 19. fx=3x4+7x20. gx=6x5-x21. fx=10x4-32x+12…

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: 6. Find the general solution of (x + 2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 - x - 2y) x + y…

A: Answer is option D)

Q: A particular solution of x¨ − 3x˙ + 2x = t2 + 1 is given by

A: given that x''-3x'+2x=t2+1. we need to find the particular solution for the given differential…

Q: 5. Obtain the general solution. Use homogenous functions for this problem. (2x°y - xy? + y³)d« -…

A: We will solve the following

Q: 2. Obtain the particular solution. y"-y'-6y=0; when x=0, y=2,y'=1

A:

Q: 2x+y-52 +l =. X-y+ 2-6= 0 4x+zy-32+8 =

A:

Q: In x +1 If y = then will be 2x³ – 3x' (2x³ – 3x) G+1) – (In x + 1)(6x² – 3) (2x — 3х)? А. (2x3 — 3х)…

A: SOLUTION-

Q: dy Ify드a2-4x-의. then. dx x2 2x-2) 2-4x-5 einz2-4x-5)- In(z+2)]. x2-4x-5 x2 x2-4x-5 x 2 x 2 2-4x-5…

A: Consider the given equation:

Q: x²y-y -y': у+1 ; у(3) - -1 %3D а. х3— х — Зу- Iny3 - 21 %3D с. х3 — Зх - Зу- Iny3- k d. x3 - 3x -…

A: Given that : y' = (x2y - y) /(y+1).and y(3) = -1. We solve this differential equations by using…

Q: determine the general solution of y''-y=0 given y1(x)=e-2x using reduction of orders

A:

Q: What is the general solution of xy(xy³ −1)dx + x²(1+xy5)dy=0? (A) 2x5y³-3x²= Cx² B 2x³y5-3x2= Cy²…

A:

Q: If f(x, y) = -x³ + y - 4xy - 7x2 - 6y, then in the process of obtaining its critical points we…

A: Critical points

Q: Find the general solution of (x+2y – 1) dx + (x + 2y + 5) dy = 0 x - y + 6 In(7 – x – 2y) А. = C x +…

A:

Q: 2. Solve for x O (x – 4)(x + 7) =0 d) x - 12 = 37 g) x = 10x b) 2x(x + 8) = 0 e 9x = 25 c) x = 4 4x…

A: To determine:Solution of the following equations 1. 4x2=4 2. x2-4=32

Q: What is L[y] if y = u3(t) (t- 3)2? %3D L[y] = e3s . - 3 O Lly) = e3s. 2 L[y] = e-3s. 2 O Lly] = e-3s…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: