Find f(t). 2s s3 ]) «(-| f(t) =

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

Q: 2 A manufacturer makes a product, of which the principal ingredient is a chemical, X. moment, the…

A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We have to find arc length L= ∫ab1+dydx2dx

Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

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Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

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Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

A:

Q: Find an equation of the line tangent to f(x) =3 at x 3. %3D OA. y=xln 3+ (1– 3ln 3) OB. y=27(xln 3 +…

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Q: Use the Existence and Uniquness Theorem to verify, with initial value (-2,-1): y' = xy2

A: Consider the differential equation y'=xy2 with initial condition -2,-1 Compare the differential…

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The function that depicts the path of quadcopter is as follows:…

Q: What is frz, fyy, and fyz of f(x, y) = In(y²")?

A: Given:           f(x,y)=lnyx2          fx=∂∂xlnyx2         Treating y as constant variable…

Q: What is the first derivative of q(x) = In (4x² + 3x+2)? Select the correct answer below: In (8z + 3)…

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Q: Expand x'y + 3y - 4 about the point (1, -2) by Taylor' s theorem.

A: Let, the given function be fx,y=x2y+3y-4 and the given point is 1,-2

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A:

Q: Consider f(x, y) =(ax² + by²). Based on the second derivative test, what are the conditions…

A: Answer

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The function that depicts the path of quadcopter is as follows:…

Q: Find dy of Using first principles

A:

Q: A 20 kg wagon moving at a speed of 0.5 m/s towards right collides with a 35 kg wagon which is at…

A: Solution:

Q: Compute 1 t2 – 4t – 21 dt. lim 27 (x – 7)2

A:

Q: Find the orthogonal trajectories of the functiony x + ce which is passing through (-2,0)

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Q: 3x V1-x x = 0. y(x) = at Equation of the tangent line

A: Given,           yx=3x1-x2 at x=0

Q: Find the derivative. (Hint: en a = x) %3D y =S 4 In x et dt O * - 1 4x3

A:

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Find the critical point of the function f(x, y) = 8 – 4x + 7x² – 6y – y? - -

A:

Q: 2. Use second order derivative to derive the acceleration, a for an object that falls where its…

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Q: Y2-1 dy

A: Follow the procedure given below.

Q: Does Newton’s Method fail when the initial guess is a relative maximum of f ? Explain.

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Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

Q: then what is y at x=1?

A: We can find y at x=1 in the following steps.

Q: Give the family of orthogonal trajectories of y^2=Cx^5+5.

A: To find →Family of orthogonal trajectories of y2=cx2+5 -1

Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

A:

Q: Find without using the Chain Rule

A: The given differentiation is:  ddxlnx101 To evaluate the given differentiation, apply the…

Q: which is the best definition of a counterexample

A:

Q: Find the maximum and minimum value of f (x,y) =x' + 3xy² – 3x² – 3y² +4 = X" - -

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The given path as y=fx is y=2.15+2.09x−0.41x2 for 0≤x≤3.6. The arc length is calculated by…

Q: -solve by exact (Differeneial Eauanian (8--メう)+ス dy tメ- Xy よx 二0

A: ''Since you have asked multiple questions in a single request, According to guidelines we will be…

Q: Evaluate the required second order partial derivative. Find fxy(5,-1), if f(x,y)= -2xe5y

A:

Q: 2an-butn Converge bey to

A: The given sequence is an.bnn=1∞ we observe that there is N1>0, so that when n>N1, we have…

Q: 3z2+x 30. If z – xz – y = 0, prove that- =- ax dy (3z²–x)³*

A: Let's find.

Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δ# = 0.006t*. At…

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Q: Classify the critical point (5,-4) for f(x,y) = x² + 4xy + 2y2 + 6x-4y +3

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Q: Estimate the In (1.1) and sec (0.1) Using a linear approximation and without using any kind of…

A: f(x)=ln(x) f'(x)=1/x f(1)=ln(1)=0 f'(1)=1/1=1 linear approximation is then L(x)=f(a)+(x-a)f'(a)…

Q: Compute the derivative of y = In ( VI-2 conh z - (z² + 2) -(2- 1)

A:

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: We will find value of function inside integral and then find end points of interval .At end will…

Q: Compute the derivative of g(x) .3 = [ 1 dt- 1+ t5 3x2 1+ x15 1+ 25x 3x2 2" In 2 1+ x15 1+ 25a 23 1+…

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Q: Explain how successive over relation is obtained from the Gauss-Seidel method.

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Q: Find the maximum directional derivative of the function f(x.y) = x In y + x2y2 at the point (-1,1).…

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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,…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.