1 1 J(A) = ,T AX 2 i=1 j=1 =;(x1A11x1 + X1A12×2 + X2A21X1 + x2Az (A - yariable, X-parameter)

Q: 3) V12-b+4= 6

A: #3 Given,   12-b+4=6

Q: Find ∂y/∂x1 and ∂y/x2

A:

Q: Show that f(x) = (3x + 2)/(5x-1) is invertible. Determine the domain and range of f and f-1.

A:

Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

A:

Q: Q/IF it was AY ₁2) = -12 Y(2) ℗ Y³ (2) = − 12 ⒸY² (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13…

A: Given

Q: Find the counterexample to show that the following conjecture is false. (x + Y)^2 = x^2 + y^2  is…

A: We need to show that the conjecture: x+y2=x2+y2 is false using a counter example. It is known that…

Q: Exercise 21 Simplify the following: (2x - 1)(x - 3x - 1) (3x + y}(9x² - 3xy + y) 2. 1. (x+2)(x² +…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: Solve For the orthogonal trajectories (a+x) y² = x² (3a-x)

A:

Q: Select the expressions that are equivalent to 7(q+5)

A:

Q: Transform ϕ (xmyn) ydx + ψ (xmyn) xdy = 0 to the type variables separable by the substitution z =…

A: Given differential equation is 2+4x2+yydx+x3ydy=0......1. Compare equation 1 with Mdx+Ndy=0, we get…

Q: Suppose a firm's technology is represented by the production function f(L, K) = min(L, 2K), where L…

A: As we know that all isoquant curves are strictly negative sloped hence, if one of the point is (4,…

Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

A:

Q: 3. Suppose X~ Bin(4,2/3). Let Y = 2X+1. Find py (y), and fill out the table below. You may not need…

A: Ans#- Given, X ~ Bin4, 23. Let Y = 2X + 1            Find PY(y)        We know, In the binomial…

Q: 2-5 Secxtanx edx 4-Sečx

A:

Q: Find dz (3z4+4) 1 3a1-72+4 Option A Option B 36a° /E(3a1+4) (3r-4)* 3a -6r+4 -69r+4 VF(324+4) Option…

A:

Q: Express ƒ(z) = 4x² + i4y² by a formula involving the variables z and ž.

A: Let,

Q: 10. Differentiate each function. a) y= -3x² + 4x- 5 b) f(x)=6x-1- 5x-2 ) flx)= 4\x d) y= (3x² –…

A:

Q: 1. 4x (7x - 10) 4. -7y'y - 2y - 3y - 3)

A: 1) 4x2(7x-10) =  4x2(7x-10) = (4x2)(7x)+(4x2)(−10) = 28x3−40x2    4x2(7x-10) = 28x3−40x2 is the…

Q: Find the differentiate

A:

Q: Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

A:

Q: S(x) = 2x" + 4x + 2x + 1 g(x) = (x + 1) Find (fg)(- 1)

A: Given  f(x) = 2x3+4x2+2x+1 g(x) = (x+1)   We have to find (fg)(-1).

Q: find

A:

Q: 3-2 7) 6 – z*

A:

Q: ). Find two linear maps T, S: R² R² such that TS=0 but ST # 0.

A:

Q: Example: Solve xy(2dx+ dy) = 2(3xdx+ ydy)

A:

Q: F(x)=√(x^4-5) invertible or not.

A: The given function is: F(x)=x4-5 The function is invertible if it is one-one and onto.

Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: 1 4[Vx(ax* + bx +c ]= 2Nx -(5ах* + 3bx + с) b)

A: We have to find  the derivative for the given function

Q: Min 2こ d 2 t0125 + 3 X2 X + X 2 X, i XZ

A: Min Z =   2 x1 + 3 x2 subject to   0.5 x1 + 0.25 x2 ≤ 4     x1 + 3 x2 ≥ 36     x1 +…

Q: 0 < x < 1, So, f (x) = x – 1, 1<x < 2 * (x) = 2 – x, 0 < x < 2 nswer Solution 2. Even Extension -2…

A:

Q: V9 – x² .2 .2

A:

Q: 1. (2D³ – 7D* + 2D³ + 3D²)(f) = 0

A:

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.