0.5 (kg) and forcing function f(t). x"=-3x-2x + e Find the constants, c and k. C = k = -1.4t Find the forcing function f(t). f(t) = kg S kg 8²

Q: 3. a. b. As a snowball melts, its surface area and volume decrease. The surface area, S, in square…

A:

Q: Differentiate y = In(x³ + 2). Solution To use the Chain Rule, we let u = x³ + 2. Then y = In(u), so…

A:

Q: e 20- 15+ 10 This is the graph of the function f(x)= 2² +2. Use integration to calculate the area of…

A:

Q: Complete the table below to identify the limit. Round all numbers to 3 decimal places. x - 5 lim x 5…

A:

Q: Part D. Problem Solving: (1) Predicting the Cost of a Compact Car. In 2010, the cost of a compact…

A: The equation of the straight line passing through the points  is given by

Q: Find the solution of with y(0) = 7 and y'(0) = 6. y" + y − 2y = 54 et

A:

Q: Differentiate the function with respect to y. 11 Bey 10

A: Given the function The aim is to find the derivative  with respect to .

Q: Evaluate lim h→0 1 2 3(x+h) ² h 1 3x²

A:

Q: Describe the given set with a single equation or with a pair of equations. The circle of radius 7…

A:

Q: Find the derivative of the function. y = @tan (6) =

A: Given

Q: m y = g(x) 2 8. Find the values of x in (0,4) at which is not continuous. Determine the values of x…

A: The graph is

Q: Compute the length of the curve r(t) = (4 cos(5t), 4 sin(5t), t³¹) over the interval 0 ≤ t ≤ 2ñ.

A: Compute the length of the curve r(t)=⟨4cos⁡(5t),4sin⁡(5t),t3/2⟩ over the interval 0≤t≤2π

Q: Determine the x-values where f(x) is discontinuous. (Enter your answers as 1 + x² X = f(x) = (2-x…

A: Here we will use the definition of continuity to solve this and we will find the value of x,

Q: 10. (opts) a) Use the rules of differentiation (Not the limit definition) to find the derivative.…

A:

Q: EXAMPLE 7 Video Example) Evaluate lim e³x. x-o SOLUTION 3 If we let t ==, we know that t→-00 as x→0.…

A: Evaluate limx→0−e3/x

Q: What value(s) of are an appropriate choice when proving the following limit? lim (x² – 3x + 5) = 3…

A:

Q: (b) In x² 16 X > 4

A: Given

Q: Which of the following are true statements? Mark all that are true. ƒ(x) = 0 0 0 0 lim_f(x) = 8…

A: find true statements from given statements

Q: / 8 1) The graphs of f and g are given in the figure. Use the graphs to answer the questions. (1.1,…

A:

Q: Consider f(x) = x² - 49 |x - 7 X 6.9 6.99 6.999 f(x) Looking at the values, we can estimate that…

A:

Q: u = cos 0 i + sin 0 j cuando (a) 0 = 00 y

A:

Q: 1.) F (s) = 1 (s+1)(s-1)(s)

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Problem 2 H 4). The Newton's Law of Cooling says that the rate at which a body cools is proportional…

A: By Newton's Cooling Law = Proportionality constant Temperature of the surrounding Temperature of the…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for- oo, and DNE if the limit does…

A:

Q: 78-81. Derivatives from a graph Let F = f + g and G = 3f - g, where the graphs of f and g are shown…

A: The derivative of a function at a point is given by the value of the slope of the graph of a…

Q: √(-1-x); (4) Let g(x) = { x²; 3x - 5; if x < -1 if -1 < x < 2 if x ≥ 2. (b) Sketch the graph of y =…

A:

Q: Let f(x) = Determine the following: lim f(x) x →4 Can be found, lim___ƒ(x) = x →4¯ lim x→ 4+ 2 x -…

A:

Q: What type of discontinuity does the function f(x) = a* has at a=2?

A:

Q: Find the volume of the solid that results when the region bounded by the curves y = 2x², y = x, and…

A: To find the volume of the solid that results when the region bounded by the  curves , and y-axis is…

Q: In 2020, Arizona's second wave of Covid-19 infec- ions grew at 3% a day; that is, the number of…

A:

Q: Describe the motion of a particle with position (x, y)

A:

Q: 1. Find the parametric equations for the line through (1.4,0) and perpendicular to both i+j and j+k.…

A:

Q: Find the solution of with y(0) = 9 and y'(0) = 7. Y y" + 3y = 126 sin(3t) + 162 cos(3t)

A:

Q: Find the horizontal and vertical asymptotes of the curve your answers as comma-separated lists. If…

A:

Q: Find the derivative of the || transcendental function. y = 7x sin(x) + x² ex

A:

Q: Intermediate Value Theor f(x)=√x² + 10x

A: Given:   f(x) =    Interval : [ 0 , 1 ]

Q: A volume is described as follows: The base is the region bounded by x = - y² + 6y + 117 and x = y² —…

A: from (1) and (2)

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The given function is

Q: √3/² sin cos de u = sin 0 du = cos Ꮎ de π/2 = & */²* sinº 0 cos 0 db = π/2 = 6t1² 2² [ u6. du /2 -…

A: The given integral is sin6(theta) cos(theta), limit from 0 to pi/2.

Q: Solve the initial value problem. dy y dx X — 8xex, y(1) = 8e-1

A: Solve the initial value problem.dydx−yx=8xex,y(1)=8e−1

Q: Differentiate the function. 6w² P'(W) = P(w) = 4w + 8 VW

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e7x + e-x (a) Find the…

A:

Q: 1. The position function of an object moving along a line is given by the function s(t) = -4.9t² +…

A:

Q: Find the derivative of the function. f(t) = 7t sin(πt) F'(t)

A:

Q: Suppose the derivative of a function fis f'(x) = (x + 2)²(x-4)³(x − 6). On what interval is…

A:

Q: use implicit differentiation if applicable show proof (complete solution) y=e(x+c) is a solution of…

A: The given equation is

Q: (1) √3 S -¹ (²) dx X. -1 tan

A: Since you have posted multiple questions, we will provide the solution only for the first question…

Q: Problem 3.4: Use Rationalization to Evaluate a Limit Algebraically Evaluate the following limit: aja…

A:

Q: Differentiate the function. 7 +7 11 y = Sex q

A:

Q: Test the series below for convergence using the root test. n=1 10n 5n+ 2 n The limit of the root…

A: Solution is following in explanation step.