Which of the following functions is an antiderivative of f(x) = e +4? O-re-1 O et + 4x + 2 (x+3) e²-3 +5 O (+1) e-1

Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x)…

A:

Q: determine L−1[F].

A: Inverse Laplace transformation of function

Q: -= In[F(x)]+C. What is f(3) if C= 0? (x+x³) (x Tan-'x+1) A 3 B 6. 3 D V3 6 . + + -1/5

A:

Q: Q6: Find the inverse F.T of the: e-j2w F(w) : (1+ jw) %3D Ans. f(t) = e-(t-2) u(t) H(@) = %3D (4 +…

A: Given  Fω=e-2jω1+jω It is known that Fe-tut=11+jω Therefore, using shifting property,  Inverse…

Q: d-x d-x Show that g(x) is decreasing, while is increasing || V62+(d-x)² c1 Va²+a? C2 nction of x.

A:

Q: 23. Let f(x) = 3x - 1 and g(x) = x – 2. (a) If f(2x) =g(3x), find the value of x. (b) If H(x) =…

A: Given:fx=3x-1gx=x-2 To find: (a)   If f2x=g3x, find the value of x (b)   If Hx=3fx+2gx and Ha=5,…

Q: The antiderivative of the function f(r) 3. +10x is + 20.0r 1 e 5.0a FC 10 1 1.5z c 3. 15.0z2 e 3

A: Use the basic integration rule ..

Q: Given the functions f(x) =x' + 8x² +16x and g(x)= x + 4 , determine the equation for the combined…

A:

Q: If f(x) = x2 – 4, what is the simplest form of f (x -1), x+ 1

A: Given,         fx=x2-4

Q: Find the absolution extrema of f(x) = (In x)2 on [1, e].

A: We have to determine absolute extrema of girls question

Q: Jx +4 -2 when x >o x >0 IF Fx) x4 12x²+ 025 when X< o is +he function continuos at

A:

Q: e antiderivative of the function: f(x) = 4x³ – 7 25-28+c ³-x+c Ox-x8+c

A:

Q: The integral 1 da can be rewritten as ff(u) du by making the substitution u = 5 x + 4. √5x+4 What is…

A: ∫15x+4dx

Q: 6 - 3x2 + 3 Find the general antiderivative of f(x) - - - x5 + C

A:

Q: Consider the expression ƒ V4 – x² dx = F(x) + C. The expression F(2) – F(-2) is equal to A) в) 1 ©…

A: We know, ∫a2-x2=xa2-x22+a22sin-1(xa)+C       .. .(1) Now, given…

Q: The value of k that makes x2 – kx + 2x – 2k f(x) x # -2 x + 2 4, continuous at x = -2 is x = -2 O 2…

A:

Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

A:

Q: The antiderivative of the function f(x) = -+ 1lx is x2 -5 + 5.5x2 + c -5 5.5x2 + c -11 + 2.5x2 + c +…

A: We know that, The expression to calculate the antiderivative of the given function: Fx=∫fxdx The…

Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: x³ – 6x2 + 9x 8. Suppose that f(r) is a function such that f'(x) = Find x² + 5 the interval(s) on…

A: Given,  f'(x)=x3-6x2+9xx2+5

Q: Express the following functions in the form u+iv f (2) = In(2)

A: We know that the complex number z=x+iy can be expressed in the form z=r·eiθ where  r = x2+y2 and…

Q: -3 +2.2а° + с -3 2.24 + с 3 +2.24 + с 6- +0.824 + с -3 .5+ 2.23 + с 4

A:

Q: Let h(x) ,where f(x) = x + 1 and g(x) = x² + 3x - 2. What is h'(x)? %3D

A: Quotient rule f(x)g(x)'=f'(x)g(x)-f(x)g'(x)(g(x))2 Here, f(x)=x+1, g(x)=x2+3x-2f'(x)=1, g'(x)=2x+3

Q: 2: Find the general solution of ODE: x*y(3). 3x²y(2)+ 6xy(1)-6y= x*. Inx

A:

Q: The antiderivative of the function 4 .3 + 10x³ is, 4 f(x) - -4 .3 + 2.5x³ + c 4 -10 + 1.0xª + c -4 +…

A: According to question given f(x)=44.3+10x3We have to calculate the antiderivative

Q: Given x (0) -2,x (1) =1, x (2) =2 evaluate X(k) by using DFT.

A:

Q: 0<t<5 Write the function f(t): using the unit %3D 125 step function, the equivalent form of f(t) =…

A:

Q: Decompose the following functions (write them as compositions): (a) If h(x) = V13² + 3, what are two…

A:

Q: x²+2x Evaluate J x+1)² 17. C. +1+C A.x ++ C x+1 x+1 B. D. + 2x + C + C x+1

A: