4. Rate of Change in Context. Jennie was on her way to school when shortly after leaving realized she forgot her homework so she had to return home and then head back to school again. The function J(t) = 4t3 – 120t² + 900t represents the distance (in feet) Jennie is from her home after t minutes such that J'(t) represents the rate change of distance versus time at any given moment t. If you want to graph this function, I would suggest something like -5

Q: Solve the laplace transform of f(t) = sin (10t). Hint: You may convert the given to whichever form p...

A:

Q: (D² – 2D + 1)y = 2sinx 2 Yp= Ур = 2sinx · Yp = = COSX Ур 3 Sinx- 2cosx Yp = sinx+ COSX

A: I have used the rule for finding particular solution and find that  Option (B) is correct.

Q: Evaluate the integral |-1|2 – 4z| de

A:

Q: Let f(x) = 1 ,and compute the Riemann sum of f over the interval [2, 5], using three subintervals of...

A:

Q: Sketch the region bounded by the given curves, then find the area of the region. 25 y = 23. y = x = ...

A: Formula:    Area=∫abf(x)-g(x)dx We have, f(x)=25x3, g(x)=5x2, a=2, b=12

Q: A water quality control agency estimates that a certain factory discharges pollutants into a river a...

A:

Q: Using the method of Variation of Parameters, the particular solution y, for the NHLDE y"+y=sec x is ...

A: We  have to find particular solutions

Q: State the linearity and order of the differential equation t dt3 (豊) +x = 0. Linearity Choose. Order...

A:

Q: A stone is drop into a pond causing water to ripple in circular form. If the radius of the ripple is...

A:

Q: Given the function f(x) = tan(ax + b), which of the following is true so the function is increasing ...

A: Given f(x) = tan(ax+b)

Q: . A tank contains 100 gal of brine made by dissolving 80 pounds of salt in water. Pure water runs in...

A:

Q: 2v2,8 relative maximum (x, y) = point of inflection (x, y) = 0,0 Find the equations of the asymptote...

A: We have to find the following conditions according to the given information

Q: The table in the margin shows the number of earthquake recorded in the Philippines during the years ...

A: A one-on-one function is defined when each unique value in the domain of the function has a unique v...

Q: -10/4). (e др Evaluate the indicated partial derivative. A - - e B 7p -1/4 7p -7/4 D

A:

Q: Which of the following is a homogeneous linear differential equation? D³(D2 – 4)y = 3x+ 2e¯3x | о у"...

A:

Q: Consider the function f(x) = 2x + 3x" – 7x² – 4. An antiderivative of f(x) is F(x) = Ax" + Bx" + CaP...

A:

Q: 5. Given the area of a rectangle is A = bh. If perimeter of the rectangle is 2b + 2h = 20, maximize ...

A:

Q: A "surge function" is used in a wide range of mathematical models of real- world phenomenon, such as...

A: The given function S(t)=Ate-kt,  where A, k are both positive constants.

Q: Solve the differential equation dy 2y - %3D dx sin x considering x(2) = 57. %3D

A:

Q: find all second partial derivatives:  f(x,y) = ex + tan (x+y^2) i got fx= ex + sec^2 (x+y^2)      ...

A: We will solve the following partial derivative. 

Q: What is the estimate of the integral shown below if Simpson's rule is used, dividing the domain into...

A:

Q: Which of the following is the x-coordinate of a relative extremum of the function f(x)3= (x+5)² .

A:

Q: The radius of a spherical balloon is increasing at 5cm/sec. How is the volume increasing when the ra...

A: It is required to find the rate of change of increase on volume of spherical balloon.

Q: Let f (x,y) = 3x4 – 4x³y + 2x?y2 - y*. Let f, be the partial derivative of f(x, y) with respect to x...

A:

Q: = 5x? and the point (4, 1. Find the formula that should be used to minimize the distance between 3)?

A:

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a ...

A:

Q: 9. A student wishes to maximize the amount of poster space for an art exhibit. The requirements are ...

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: 8. d.x 1. 3 cos 2x + 1

A:

Q: Suppose y = -6 cos (5t + 10) – 5. In your answers, enter pi for T. What is the horizontal shift? hel...

A:

Q: (2х+1)2 dy 4. У - 1-2х dx 12/09/2021 10: 00

A: We have to solve the problem

Q: Let z=sin (y 2- 4x). Find the rate of change of z with respect to y at the point (2, 1) with x held ...

A:

Q: Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and val...

A:

Q: Determine the new value of the function f(x) =x+ Inx if the independent changes from x=2e to x=2.2e

A: Given f(x) = x + ln(x)Value of function at x = 2ef(2e) = 2e + ln(2e) = 2e+1+ln2

Q: 17 Given that cos 0= <0<T, find the exact value of each of the following. 3 2 (a) sin (20) (b) cos (...

A:

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3 ...

A:

Q: B. Find the first 4th terms for expansion of f(x)= In(1+3x) by using Mclaurin's Series.

A: We have to find ist four term

Q: At 11:57 pm on March 12, 1928, the two-year-old St Francis dam on the outskirts of Los Angeles faile...

A:

Q: Use Green's Theorem to evaluate 'oint_C \vec{F} \cdot d\vec{r}`, where \vec{F}(x,y) = (: 8 y +2, 4 x...

A:

Q: current Attempt'in Progress Find the area of the shaded region. NOTE: Enter the eract answer. y = x ...

A: Let's find. 

Q: Find the value V of the Riemann sum V = > f(Ck)Aak k= 1 for the function f (*) = x2 – 2 using the pa...

A:

Q: 4. A tank contains 150 gal of brine made by dissolving 60 pounds of salt in water. Salt water contai...

A: Given:       Initially there are 150 gal in the tank.   There are 60 pounds of salt in water.   The ...

Q: Suppose = (4, –4, 1) and i = (3, 1, –4). Then ux v is and ひ×u is

A:

Q: find the power series expansion of the following functions: Cos^2 x

A:

Q: A Norman window, consisting of a semicircle surmounting a rectangle, has a fixed perimeter P. Find t...

A:

Q: Write an equation for the polynomial function graphed.

A:

Q: What is the maximum point on the curve = 2 + 12? − x3

A: Maxima minima problem

Q: 6. A tank contains 40 liters of a chemical solution prepared by dissolving 80 g of a soluble substan...

A: Given:      Since initially there are 40 l of solution prepared by 80 g of substance. So, V0=40     ...

Q: Refer to the functions r, p, and g. Find the function E 6) and write the domain in interval notation...

A:

Q: Translate the following into mathematical symbols. 7. Two less than twice the square of a is fi...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: The sum of two numbers is 10. What pair of numbers will yield the maximum sum of their reciprocals? ...

A: For the solution follow the next step.