Find a function f ( x) such that 5+ f(t) -dt = 4/x for and some number a а.

Q: Find the derivative of In(3t³ – 2t + 1) and then calculate S; + 3 dt (use integration by…

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Q: equilibrium

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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: Find both first partial derivatives.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval: y = ex − x,…

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Q: a?f (or and y. that is, f(x,y) = e² with respect to ayax axay Calculate the second-order partial…

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Q: y = x – 2 + Ce* X-

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Q: [1] Determine the orthogonal trajectories of y(1+2x?)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1)

Q: F(x)= ]7+1 3x t dt 2 F'(x) = %3D

A: We will find the derivative using Fundamental Theorem of Calculus.

Q: Prove the relationship =<- dt

A: we have to calculate  ddt&lt;px&gt;  .....(1) &lt;px&gt;=-ih∫ψ*∂ψ∂xdx .....(2) substituting equation…

Q: Determine two functions, defined on the interval  ( − ∞ , ∞ ) , whose Wronskian is given by  W ( f 1…

A: To determine two functions having the prescribed Wronskian and decide on their linear independence

Q: 11. Find the linear approximation of f(x) = √√x_ at a = 1. Use the linearization to estimate the…

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Q: 4. Find the general form of the function that satisfies dP/dt = -3P(t).

A: A separable differential equation can be solved by separating the terms in each variable and…

Q: The partial derivative fx(-1,0) of ƒ(x, y) = xe³ + x² + 1 is equal to −1. Select one: True False

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) = 2…

A: solution is given below

Q: Find all the second partial derivatives. f(x, y) = ln(ax+by)

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Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δt =0.006t2. At time…

A: According to the given information, it is required to determine the value of m.

Q: of ) Find the first order partial derivative of and for the function f (x, y) = x/y -x²y+y² ây

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Q: Find the partial derivative fx ( x , y ). f ( x , y ) = x ln ( 3x + 4y )

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Q: If f(x) = Α) B C D tanx sec ³x 1 + e tanx 1+tan²x 1+ e tanx sec²x 1+1² 1+e' -dt, then f'(x) equals…

A: We have to find derivative of given integral.

Q: How many second partial derivatives does f(a,b,c, d) have?

A: Let p=fa,b,c,d. Note that, for a function of two variables p=fa,b there are four second partial…

Q: The function f (x, y) = x³y + y3 – 3x?y + 2 has critical points at (0,0), (2,), (2, -) and (3,0).…

A: S

Q: The average rate of change of fx) = ax' Over the interval osxs1 IS a

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Q: From the partial differential eqiuation by eliminating the arbitrary function z=(x2+y2+z2)

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Q: Find both first partial derivatives. Z = In

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Q: 3. Calculate the derivative of f(x) = tan(4t) dt. %3D -1/16

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Q: [1] Determine the orthogonal trajectories of y(1+2x²)=ax.

A: The given equation is:y1+2x2=axy=ax1+2x2              ..............(1) Determine the orthogonal…

Q: 8. Find the orthogonal trajectories of y = cx CX

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Q: Find the derivative, g' (x) for the function 1 t -dt 1+t3 g(x) = 3z+2 9z+6 1+(3z+2) (1+(3z+2)*)-…

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Q: Find both first partial derivatives. z = ln√xy

A: Given  z = ln√xy. We need to find both the first partial derivatives of the above function.

Q: A bounded, 3B > 0 such that |f(x)| < B Vx € (0, 1), continuous function on (0, 1) with unded…

A: We will find an example

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: Find the critical point of the function f(x, y) = 24x – 4y² – In(|x + y|). - - c = Use the Second…

A: see below the answer and explanation

Q: se Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function g(x) : I VR+…

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Q: Calculate the second-order partial derivative of f(x.v) =sin(x³v?) with respect to x and y, that is,…

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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: 2) Find second derivative d'F/dt? of 312-2 F? = 13 and find it at (t,F) = (-1,2)

A: We have to find the required second derivative at the given point.

Q: Find both first partial derivatives. z = x2e2y

A: Given function is z=x2e2y. Partial derivative means derivative of function with respect to one…

Q: x2 - y2 + 2Cx = 0

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Q: (or axay дудх Calculate the second-order partial derivative of f(x.v) = xy with respect to x and y,…

A: Given  f(x,y)=xy

Q: Calculate the derivative 26 dt d (6£4 dx using Part 2 of the Fundamental Theorem of Calculus. 26 dt…

A: According to the fundamental theorem o calculus:

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h (x) =…

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Q: Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.

A: Given function is,

Q: 8. Find the orthogonal trajectories of CX

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Q: Estimate v16.3 using the linearization L(x) of f(x) = /x at a = 16. (Use decimal notation. Give your…

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Q: Calculate the derivative 27 dt d da using Part 2 of the Fundamental Theorem of Calculus. d dx 27 dt…

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Q: ди + 3x- = 1 + u, dx ди -co 0, dt u(x, 0) = f(x).

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Q: 8. Find the orthogonal trajectories of y cx

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Q: d2x/dt2 + 4 dx/dt + 3x = 2 x(0) = x’(0) = 0

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…