find |A^T| |A^2| |AA^T| |2A| |A^-1| A= [ 5. -10] [4, 6]

Q: 2. As an application of partial derivative of multi-variable functions, provide one page abou…

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Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: A non-exact equation can be converted to an exact equation by OA. Multiplying with the Integration…

A: Choose the correct option:

Q: Is it possible to get a example which shows this applied to a model

A: To determine: An example which shows the application of Taylor series in a model.

Q: Find the solution of the equation y= 2x -x- 10 in the interval (2, 4] using derivatives. You can use…

A: To solve an equation  f(x)=0 using derivative of function, we can use the formula…

Q: A rectangular sheet of metal 360mm by 240mm has four equal squares cut out at the corners. The sides…

A: Volume of the rectangular box= (Length)*(Breadth)*(Height)

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A:

Q: How is derivatives utilized in solving for the dimensions and total area of a box?

A: Here we to write how is derivatives utilized in solving for the dimensions and total area of a box.

Q: evaluate using the appropriate method or combination of methods.

A:

Q: Find the critical points of the function by using algebraic partial derivatives test. Rx, у) - -х2 -…

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Q: solve e^-x=lnx using bisection method.

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Q: at the point (2, –1). Find the maximum rate of change of f(x,y): x2 + Y

A: For maximum rate of change we need to calculate magnitude of gradient bat point (2,-1)

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Rate of change

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: The force on a particle is described by 8x3 - 6 at a point x along the axis. What is the work done…

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Q: Two cars start moving from the same point. One travels south at a rate of 60 mi/h and one travels…

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Q: Find the derivative. using chain rule 7 5. у %3 V1-14x2

A: The given function y=71-14x2

Q: Solve the equation in the attached image:

A: Given:

Q: order

A: Given function is: fx,y=cos2xy2-3x2y3 Then we get,…

Q: Find the intergral of 2xsin(x²+1) dx Please make it step by step

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Q: 2) x²-9 = y -7 4 -3 -24 -1 -9-8-7 -6 2 3456 8 9 -1 -2 -3 у-int. -4 -5 x-int./s -6- -7 -1 -9 vertex

A: The given equation of the curve is x2 - 9 = y

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: Why does learning techniques of integration (calculus) important in today's modern world?

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Q: Explain the rule of maximum and minimum using Derivatives with an example?

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Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: can we calculate the derivative of a matrix and the nth root of a matrix ?

A: Yes, derivative of a matrix and the nth root of a matrix both can be calculated.

Q: Define “hyperbolic” trajectories?

A: we have to define "hyperbolic" trajectories

Q: A curve passes through the point (2,5) and the gradient of the curve at any point is given by…

A:

Q: As an application of partial derivative of multi-variable functions, provide one page about Lagrange…

A:

Q: If (an)diverges and (bn)diverges, then {an + bn} diverges.  Is this true or false. Please show each…

A: We have to solve given problem:

Q: How do I calculate sec^-1 (1)?

A: Domain of sec-1(x) is (-∞,-1] ∪[1,∞) and Range is [0,π2) ∪(π2 ,π].

Q: amount of 1500 is invest for 5 years at the rate of 2% for the first two years, 5% for the third…

A: Given query is to find amount after 5 years.

Q: 5z²)* 4/3 %3D

A: (3). The function is given by Hz = 1-5z243 To evaluate: The derivative of the function.

Q: Find if x- costy =- cscy

A: Given that: x-cos2y=xcscy

Q: Find increasing and decfeasing fundn of fu)- e- where

A: Given: The function f(u)=e-unn  where n =782

Q: Solve using partial differentiation

A: Given that  uxy=4eycos2x given that y = 0, ∂u∂y=cosx and u=y2…

Q: Determine the root of f(x)=xr – e* using fixed point iteration and false position method with…

A: Given function is fx=x-e-x The initial value is given as x0=3 In the fixed point iteration process…

Q: 1- Genx :1 CSCX 2 CSCX=1 senx CSCX = I CSCX = 2 %3D 2- Cotx = 3 tanx= 3J3 3. 3 tanx = Cotx 3. 13 353…

A: first one is wrong.because secx=1/cosx.and sinx=1/cosec x.

Q: The function f (x) = ax³ – bx² has a gradient of 2 at point (1,6). Find its gradient when x = 2.

A: Given  f(x) = ax3-bx2

Q: The secant method of finding roots of nonlinear equations is categorized as a (an)_____ method. O…

A: To find- The secant method of finding roots of nonlinear equations is categorized as a (an)…

Q: how do I integrate this

A:

Q: A population of protozoa develops with a constant relativegrowth rate of 0.7944 per member per day.…

A: Given data: A population of protozoa develops with a constant relative growth rate of 0.7944 per…

Q: y = In (cot 8x)

A:

Q: az and ax az Use implicit differentiation to find for x2 + 2y2 + 3z2: 1. ду

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Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

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Q: Find the orthogonal trajectories of the functen X + ce-X which is . passing Thieugh (-2.0)

A: We need to find the orthogonal trajectories of the function y=x+ce-x, which is passing through (-2,…