A particle is traveling in a straight line. Its position at time t in seconds is given by s(t) = 5vt meters. (a) The instantaneous velocity at time t is given by v(t) = (b) The acceleration at time t is given by a(t) = (c) At time t = 25 seconds, the particle is going at a velocity of second square. meters per second. The acceleration is meters per

Q: Does the series Σ (-1)* k=2 In (k7) k+3 converges conditionally diverges converges absolutely…

A: find if the given series converges or diverges.

Q: A table of values for f, g, f', and g' is given below. a. If h(x) = f(g(x)), determine h'(3). h'(3)…

A:

Q: Evaluate CD dx where C = x and D = e-4. Which integral techniques did you use? Please explain.

A:

Q: Suppose that Vf(x, y, z) = 2xyze¹¹i+zeªj+yeªk. If f(0,0,0) = 2, find f(3,3,4). Hint: As a first…

A:

Q: Use L' Hopital's Rule if possible, to evaluate the following limits. Show all work, thank you!

A: to find the limits using l'hospital rule where appropriate.

Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

A:

Q: Find the average value of the function f(x)=x²-11 on [0,6]. 2 The average value of the function f(x)…

A: Function:Interval:[0,6]

Q: If ƒ'(x) = x +4 x - 4 g'(x) = " differentiate g(x) = ƒ(x²) FI

A:

Q: Let y = f(x) be given by the graph below: -6 -5 Not Image 0-4 0-1 02 -4 04 -3 -2 -1 6 1 -1 -2H -31…

A: A graph of the function is given.The aim is to find the points at which the function is left…

Q: Suppose the supply of x units of a certain product at price p dollars per unit is given by p = 10 +…

A:

Q: Submit Answer Home My Assignments Request Extension

A:

Q: Suppose f(x)=7(2.5)^x and g(x)=55(1.4)^x. Solve f(x)=g(x) for x.

A: Suppose .To solve  for .

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A:

Q: Solve the rational inequalities below. Each rational inequality will have one interval from the…

A:

Q: If 87 + 2 f(x) + 3x² (ƒ(x))³ = 0 and ƒ(1) = −3, find ƒ'(1).

A: 87+2f(x)+3x2(f(x))3=0,f(1)=−3

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A:

Q: Find the absolute minimum and absolute maximum values of f on the given interval. (Enter your…

A: we need to find out the absolute minimum and absolute maximum of the given function in the given…

Q: Given that t (a) sin(t): (b) sec(t): = tan ¹(3), find the exact value of

A:

Q: Evaluate § A² B³ dx where A = sin(f(x)), B = cos(g(x)), and f(x) = g(x) = 4x.

A:

Q: Integrate: 1 -dy 36-y y³

A:

Q: Find all absolute maximum and minimum values for the function y = 7x² + 9x +1 on the interval…

A: Given Function is as follows

Q: An object is moving on a straight line according to the following position function. = -9 cos(5t) -…

A:

Q: 4. Find the partial fraction decomposition of g(x): g(x) x² +1 x(x² + 1)²

A:

Q: Solve algebraically for all values of x: -81x² +100 = 0

A:

Q: (7.3) Use the Laplace transform to solve the initial-value problem, y" - 2y' + y = et; y(0) = 0,…

A:

Q: 2. Find all numbers of b such that the average value of f (x) = -9x² + 10x + 4 on the interval [0,…

A: f(x)=-9x2+10x+4Interval [0,b]Average value = 5

Q: -1 15 (v₂E) khp,v) The first graph is the energy E of an electric car versus its terminal velocity…

A:

Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF limit comparison…

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 00…

A:

Q: Power Series +∞ Σ n=3 (3-x)n n³3√n Find the radius and interval of convergent of the series

A:

Q: Evaluate B f da where A = (x² - 1) and B = 22. You must show all steps.

A: Given data

Q: Convert the point from cylindrical coordinates to spherical coordinates. (4,2,0) =([ (p, 0, 4) =

A:

Q: Find a particular solution to Yp || y" - 10y + 25y = -8e5t t² + 1

A:

Q: Question 2 Complete the table after finding a simplified form of the difference quotient. For the…

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) = 2 sin x - x in the interval…

A: To find the absolute maximum and absolute minimum value of the function  in the interval .

Q: Sand falls from a hopper at a rate of 0.5 cubic meters per hour and forms a conical pile beneath.…

A:

Q: Suppose that f(x) = g(h(x)). In each part, based on one of the functions provided, find a formula…

A: Given: (a) If , then to find .(b) If , then to find

Q: lindrical coordinates. (Choose r> 0 and -2π ≤ 0 < 0).

A:

Q: The polynomial of degree 3, P(z), has a root of multiplicity 2 at x = 5 and a root of multiplicity 1…

A:

Q: The sum of two non-negative numbers X and Y is 15. Determine the values of X and Y that minimize the…

A:

Q: The p-test says that: • if p 1 then the series ● 8T8 T8 T * * * * * * Select an answer Select an…

A:

Q: What are the projections of the point (4, -4,5) on the coordinate planes? On the xy-plane: On the…

A:

Q: y rides a train along a straight north-south track. His position at timet in hour is s(t) = (–t¹ –…

A: We have to find the average velocity, instantaneous velocity.

Q: Consider the following Linear Programming Problem: Jason's House of Cheese offers two holiday cheese…

A:

Q: Tina is building a wooden frame to put around a square shadow box. The shadow box has an area of 500…

A: Area of square = (side)2Parameter of square = 4(side)

Q: Calculate the tangent plane for the function f(x, y) = (xy+1) sin(x+y) at the point (0, 0). Using…

A: The given function equation is

Q: For the given cost function C(x) = 14400 + 300x + x²,

A: C(x)=14400+300x+x2

Q: vnd line directional derivative of the function f(x,y)=In (1+x² + y²) where u= 0√10+2√√10x 10+…

A:

Q: Let lim g(x) = -5_and_lim h(x) = 9 x→4 Determine the value of the limit lim [g(x) — 9 ]² x-4 Enter…

A:

Q: The polynomial of degree 4, P(z) has a root of multiplicity 2 at = 3 and roots of multiplicity 1 at…

A: