-1 0 2 f(t) = 2

Q: Find f(t) if L (F) equals 20 3 S-2TTS

A:

Q: Suppose f is continuous everywhere, and | f(x) dx = -1 and 3 Find f(2)dz. f(x) dx 2. Find dx. Cannot…

A: As per our guidelines we are supposed to solve only one question i.e. the first question. For the…

Q: For the function f(x) = x - 8x2 +10 find %3D a) the intervals where f is increasing, decreasing b)…

A:

Q: t+1, if 0 <t< 5 4 - s(t) = %3D 3/5VE - 51 if 5 <t < 10 4.

A:

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: 4x+7 18x<2 (ii) If f(x) = , determine whether the function f(x) is continuous 4x-1 2<xs4' throughout…

A: We determine whether the function f(x) is continuous throughout its domain.

Q: r what value of a is the function f (t) = 08 O-15 O -30 O 24 t -a, -10 < t ≤ 3 t² + 8t, 3 < t < 10…

A:

Q: Find L{f(t)}. (Write your answer as a function of s.) L{f(t)} = (s > 0) f(t) † (2, 2) 1

A: Handwriting solution

Q: 0st<3 f(t) = 5+ 6(t – 2)et-3 t2 3

A: By using table of Laplace transform I solve your problem as follows :

Q: 4. A cold drink is placed into a warm room. The temperature of the drink after t minutes is given by…

A:

Q: t if t3 Find a value of A such that the function f(t) is continuous for all t.

A: We have given f(t).  And f(t) is continuous for all t.  It means f(t) must be continuous at t=3

Q: Q1: - Find C that make the function f(x) continuous f(x) = {| x +3 Сх+ 6 x 2

A:

Q: Find F(s). F(s) = Le{(2+ (2t + 1) U(t − 1) -

A:

Q: A store noticed that it could model its yearly profit by the function p ( t ) = 0.3 t 2 + 4.8 t − 9,…

A: The function is pt=0.3t2+4.8t-9.   Substitute 1 for t in the equation pt=0.3t2+4.8t-9.…

Q: Find L{f(t)} given   f(t) =       t,    0 3

A: given piecewise functionf(t)=t0&lt;t&lt;34t&gt;3we know Laplace transform formula…

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

Q: cott Examine the function f (t)={n/ 2-t 1, t# a/2

A:

Q: The force of interest 8(t) is a function of time, and at any time t, measured in years, is given by…

A:

Q: Write this function as a step function fe-(t-1) 0≤t 1 X3

A: A step function  can be written in the form:for all real numbers x.If n ≥ 0, αi are real numbers and…

Q: Jx+1 State the interval(s) where the function f(x)=- 2x+ x² is continuous.

A: The given function is,

Q: If an object's position over time is given by the function d(t) = (t² + 3)e for t > 0, on what…

A:

Q: The total number of units produced by a worker in t hours of a 10 hour shift can be modeled by the…

A:

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.