24 Show that the solution of equation satisfying the condition O T-0, as t0 (1) T-0, for x-0 and x=a for all t>0 (i) T =x, whent-0 and 0

Q: Prove that if F(s) = L{f(t)} then L{t" f(t)} = (-1)" d"(F(3)) ds

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Q: f(x + h) – f(x) f'(x) = lim h-0 %3D h bsnd Diffeentinble A) 7xh2 B) 9x2h C) 5x2 D) 9x2 5) Given (x")…

A: Given that: 4. f(x+h)-f(x)=9x2h+7xh2+5h35. (xα)'=αxα-1

Q: Solve for f(x) the ir f f(x) cos px 8 sin² t

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Q: Let h(z) tan(5x + 5). Then h' (2) is and h'' (2) is

A:

Q: f (x) = 2x+7 if -5=Xcl 8 If X = 1 14X=3 if 11x-2 31 If x > 3 IS this continuous at X=1 ? formula…

A: Any function f(x) is continuous at x=a if  lim x -> a f(x) = f(a) i.e. Functional value at that…

Q: 5) By false position method the equation f(x) = e- 3x has a root between 0.5 and 1.0.

A: This question is about regula falsi method.

Q: Q5) Find f) if you know that g(x)= cos(x - 1), f) 3tan(x) at x-2

A: Given: fx=3tanx2, gx=cosx2-1 For finding ffx, we put fx in place of x in given fx

Q: 13. Find ƒ. (1)ƒ'(x)=x² + 3√x (2) f(t)=2cost+sec²t,-/2 <t</2,ƒ(π/3)=4; (3)ƒ*(x) = 6x+sinx.

A:

Q: '5 Find | f(x) dx if 3 if x < 3 f(x) %3D if x 2 3.

A:

Q: let it be 2= f(x,y) and Y=tan' () and X = === In (r²+5²) Prove that fxx+fxy= (y² + S) (fr+fso)

A: We have to prove

Q: -1 Ax) = 7xsin (x) f'(x) =

A: SOLUTION-

Q: Ql:- Find the domain of the following functions a) S(x) = sin"*(2 – 3x) b) f(x) = sec"*(x – 2)

A: we have to find domain

Q: 3-f(x) = tanh¯1(cos(e*))

A:

Q: dx - = In[F(x)]+C•What is F(3) if C= 0? For (1+*;_u®L x)(g*+ x)

A:

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: Solve using the false rule method f(x) = /x² + 1 – tan x %3D starting at the interval [0.5,1]

A:

Q: 12. Find the second derivative for the function f (x)=4x+12x²-20x-18 and solve the equation f"(x)=0.…

A:

Q: Which of the following is a solution to x' A(f) x +b (t) if -2 1 A (1) = -3 2 b(t)= 2 sin(t) -…

A: To find -

Q: The function f(r) = In(xª + 4x² + 3) is decreasing on Question 4. the interval(s) a) (0, 0) b)…

A: Given function is fx=lnx4+4x2+3. We have to find the decreasing interval. Decreasing function: Let…

Q: Skerch a porsiblea raph aea fmaion informanion beiow. anur I maxma,1dcaiminim…

A: Step:-1 Note:- 1. Inflection Point:- An inflection point is a point in which the concavity of the…

Q: If h (x) = A B sin a ² R csc (x¹ + 1) CSC (t+1)dt for -≤ x ≤, then h'(x) = *< csc (sin³x + 1)…

A: If  for , then to find ..

Q: a)Use the second derivative test to determine whether the function has a local maximum or local…

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Q: S(x) 르 arcsin (금x + 1) -3 Let f '(x) = . a Find f' (x) giving your answer in the form TV (bx(x + c)…

A:

Q: 3) f (x) = 2 x2 + 4000/x +10 a)Find the derivative . b)Find the critical number(s), if any.

A:

Q: Derivative. The derivative of h(x) : 3+ e(4x2 + 5) is O none of the other answers -e(4x + 5)…

A: step 2 complete solution

Q: 03: Let S(x)=12-x-1|-1. -1. Find f"(0) and Find f'(4)

A:

Q: Q1) find dy/dx 1) F(x) = sin’2x tan x² x – 3 ) 2) F(x) = sin( x +4

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Q: Find f such that f'(x)= 7x +7x-2 and f(0)= 8.

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Q: 22. Find f/(x) and simplify 1 -1 a) f(z) 3-52+1 3 b) f(x) 1.8Vc) f(x) = 32

A: Given, functions