Let flup be differentia ble function f x & ys Satislyng df (9,0) = 2 f (,1) = 3 J E,): -3 dy f Co,0) = 1 Lu s be defined implealy by 19(s!.gle.)/ funchion ft, and soo cwhen t =0. Find ds o.Also dt Justiyy your ans wey

Q: Let y =(f(u) + 3x)² and u = x³ – 2x.

A: The given function isand,Also,To find,

Q: Q2/ find dz ond dZ as function ne U and v if of Z=tan (중), X=u Cos V , 9-u sinV

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Q: 3) Let PIASR ond Thi AxC ßeD. Then his a Anction. Te Ø # 4 B and ø 7b cD then that h'(Y x Y% ]=…

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Q: Q1) Answer the questions by true or false 1) If y = In then the derivative of y is = (x2 + 3) * 2x…

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Q: Consider the function f(t, p) 3 (pе' +1—р)". a. Find an expression for f(t, p) and evaluate that…

A: Given that:f(t, p)=(pet+1-p)n

Q: Let h = fog where ƒ : R² → R and g: R² R² is defined by g(x, y) = (3x²y, x – 2y). Find the…

A: Letandfind the derivative

Q: aw aw = f(s³ + t²) and f'(x) = e*. Find and at əs Assume that w=f[s]

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Q: Q10

A: Given F(u,v)be a function of two variables. let Fu(u,v)=G(u,v) and Fv(u,v)=H(u,v) Here f(x)=F(u,v)…

Q: z = f(a + y, 2ry) f we take u = x' + y' and w = 2xy we obtain z, = 2xf, + 2yf, and z, = 2yf, + 2xf.,…

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Q: Find an expression for f (t, p) and evaluate that expression when t = 0. Find an expression for f(t,…

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Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student  Here is the solution of your query

Q: 55. y = aln «

A: As per our guidelines, we are allowed to answer the first question please resubmit the other…

Q: Define a function f : R² → R² by f 2.у 1. Show that f is differentiable on A = E R² |x > 0, y > 0}…

A: To show that the function f defined as below is differentiable on A and compute its derivative

Q: Show that a fuinction F:R>R defired by 3 If I=y=0 1S continous ert (o0)

A: Continuity: Let a function f(x,y) be defined on an open disk B containing the point (x0, y0). A…

Q: Jige If f(2) =-3, g(2) =4, f' (2) =2, and g' (2) =, d. then dx -21 16 9. 16 -13 16 29 16 6 jp 3…

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Q: Pron a. If u = f(x, y), where r = e' cost, and y = e' sint, show that (3)³ + (3) ² - - ² [(-)* +…

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Q: 1. Given f(x, y) = x' + y* find and ax?' dy' axðy дудх 2. Find whether the function F = (r² – y' )i…

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Q: {(u)= (u² -3)*

A: Given the function is  f(u) = 12u2-32. We have to find f'(u).

Q: Consider the three points (2, 4), (4, 6), and (-2,7). (a) Supposed that at (2,4), we know that f₂z =…

A: Let us consider the given function f(x,y) and (a,b) is critical point then fx=fy=0. Determine…

Q: Suppose f is a function for which f'and f" exist. You are given that: S(0) = 1 S'(0) = 5 %3D %3D…

A: here we use the integration by parts see below the answer and calculation

Q: For the function Hlo>x'tle, fnd a)flxth) 5bf(xth)- flx) c) f(x th)-f(x)

A: Given: f(x)=x2+6 To find: a) f(x+h) b)f(x+h)-f(x) c)f(x+h)-f(x)h

Q: Evaluate S xy dx + (x + y)dy along the curve y = 2x² from ( − 3,18) to (-2,8). с Sxy dx + xy dx + (x…

A:

Q: d dx y' z' y" z"

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Q: f lx.y) = x³ - byt +ll Investigate the local + 3xy" - 6x² extremum paints ofthe function determine…

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Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: Explanation of the solution is given below....

Q: Q/ if fx(x)= x and (g) is function of R.V X find the PDF of g(x)= X² ?

A: # Given: pdf of random variable x is f(x)=x  then to find pdf of y=x^2 ?

Q: Differentiate the function. P'(W) = P(w) = 6w² - 4w+2 √w W

A: To differentiate the following function.

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.