Let f:[0,7] be defined by f(x) = x2-3x+1. Let a(x) = 3I(x-1) + 2I(x-4) + I(x-5) + 4I(x-6), where I is the unit step function. Comute the integral from 0 to 7 of f d(a).

Q: 2. Use the First Fundamental Theorem of Calculus to differentiate the function f(r) = VI+ tª dt.

A: We will use the first fundamental theorem of calculus to evaluate the derivative.   The detailed…

Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

A:

Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000+24563x -…

A: Gauss legendre quadrature gives the result of integration over a symmetrical limit of variavle x…

Q: Show that Q(i) is an integral domain

A:

Q: Find f. f"'(t)  = t   - √t

A: To find f"(t) we integrate f"'(t)

Q: Find f if ∇f=4xyi +(2x^2+8y)j f=____

A: Find f if ∇f=4xyi +(2x^2+8y)j f=____

Q: Suppose v(t) gives a particle's velocity at time t , in miles per hour. Write an integral expression…

A: Let the particle velocity v(t) at time t , (in miles per hour)

Q: 2 =1+ %3D V1+f(t) dt, x 21

A:

Q: Use the Newton-Raphson iterative to find the root of the function f(x) = 2 Sin (X)-X²+1 in the…

A:

Q: Given a rate of 175 pesos per hour, how many hours should you work to earn 35,962.50 pesos

A: If ∆x is the amount earned in time ∆t, then the equation for the rate of the amount earned per unit…

Q: Find the inverse function of f (x) = mx + b. Give one example with specific values of m and b so…

A: Inverse of function

Q: s of stick t

A: Given that it needs 5meters of stick to make a picture frame.

Q: The vertex of the parabola f(x) =(x+3) - 4 is а) (-3, -4) b) (3, -4) с) (3, 4) d) (-3, 4)

A:

Q: Select which function f has an inverse g that satisfies g'(1) = Of(x) = 2x³ Of(x) == x³ Of(x) = x³…

A: To find the function  that has an inverse  that satisfies .

Q: Use the Newton-Raphson iterative method to find the root of the function f(x) = x³ + x² + 4x + 3 in…

A:

Q: Differentiate the function. H'(z) = H(z) = In c²-2² c²+z²

A: H(z)=lnc2-z2c2+z2

Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Find 40, 41, and 42 in rewriting the function of ƒ(x)= {√x 00 f(x)= ΣΑLx(x). k=-x x20 x < 0 in terms…

A: Given: Function, fx=x, x≥00,     x&lt;0To find: A0, A1, and A2 while rewriting fx in terms of…

Q: Find the integration distance (f, g) = √² f(x)g(a) da between the given polynomials. f(x) = -4x-1,…

A: Step 1: Step 2: Step 3: Step 4:

Q: Compute Re f(i) when: f(z)= sqrt(z-1) and f(0)=-i

A:

Q: Let f(t) a+bt+ ct² + dt", denotes the polynomial of degree three through (0, 1), (1,0). (-1,0) and…

A:

Q: Use the Newton-Raphson iterative method to find the root of the function ƒ(x) = x³ + x² + 4x + 2in…

A: The Newton-Raphson iterative method to find the root of the function f(x) is given as follows: xn+1…

Q: Let f(x) = In(x² – 14x + 52) f'(x) =

A:

Q: Let F(x) = - [² 2 √t dt. Find F" (2).

A:

Q: OJennifer Findley Write an approximate measure for each angle shown.

A: