Determine the convergence or divergence of the series and identify the test used. Σ 1 3n-2 n=1 O converges by the Limit Comparison Test O diverges by the Limit Comparison Test diverges by the Geometric Series Test converges by the Geometric Series Test

Q: Find the second derivative of y with respect to t in this given equation: 2t² 2y + 3t² 8 3 (A) 2t-3…

A: given  2y+3t2=2t33-8dtndt=ntn-1d (constant)dt=0

Q: C(0, 1) R₂ y = √x R3 R₁ y = x³ B(1, 1)

A: Volume ( V ) = ∫abπ( x )2dy

Q: Find the derivative. [m(2)] d dx

A: Given ddx[ ln( x + 2 x - 2  ) ]

Q: QI Define the Laplace Transform and then Calculate [¹5 15 1 [s²³² (s²³² + 1) + S-2 (S²+1)

A: Given :L-11s2s2+1+s-2s2+1

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A:

Q: Consider the following. -√x²-1 if x #0 1-3 if x = 0 f(x) = -2 y -2 1 2 X Use the graph to find the…

A:

Q: If f is a function such that the limit when x approaches 0 exists, then f(0) exists.

A: If f is a function such that the limit when x approaches 0 exists, then f0 exists. We have to…

Q: Determine the value of when lim f(x) = 4, x 2 5f(x)g(x) lim x+2 3f(x) - g(x) Select all that apply…

A:

Q: x (t) = y(t) = z(t) = =

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x²yev lim (x, y)-(0, 0) x4 +…

A:

Q: 3. a) Graph the given piecewise function f(x). 4x + 3, x≤ 0 (-x+1, x > 0 f(x) = -7 -6 -5 -4 -8 -R -1…

A:

Q: 16. f(x)= In ( x²-3x+2 3x2+5x-2/

A: The given function is f(x)=lnx2-3x+23x2+5x-2 We have to find the derivative of f(x).   Note: If…

Q: Find the volume of the solid formed by rotating the region enclosed by 1x y=e¹x + 1, y = 0, x = = 0,…

A:

Q: Find k so that f has a relative extremum at the point where x = 8. k √ ( x ) = x² + 4/2

A: Given,           The function is fx=x2+kx and f has a relative extremum at the point where x=8.To…

Q: 1:37 PM Sun Jan 29 X Chemistry2e-WEB 11 of 11 0 3= box ² y=lnx 6.3 Volume By Slicing 20 8 X 6.4…

A: 2 curves are given Y= ln x Y= ln x2

Q: At time t = 0 a car moves into the passing lane to pass a slow-moving truck. The average velocity of…

A:

Q: Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f…

A: we need to find out the inverse of the function and also need to graph both the functions.

Q: Let (-+b, if 1(and a b) (a) For what value(s) of b is f continuous at 1? f(x)= 3, Answer: b (b) For…

A:

Q: 65. r = 1 - sin

A: We need to find the point of horizontal and vertical tangency.

Q: ons [2/2] [1.5/2] 3 4) (1/2) [1/1] 6/11 The graph below shows the relationship between the height of…

A:

Q: log3 (log5 (4x + 1)) = 0.

A:

Q: The (2 x 2) matrices listed in Eq. (9) are used in several of the exercises that follow. 1 ^= [2 } ]…

A:

Q: A gardener has 720 feet of fencing to fence in a rectangular garden. One side of the garden is…

A:

Q: Use the definition of continuity and the properties of limits to show that the function is…

A: f(x) = (x+2x3)4 To be found - If f(x) is continous at a = -1

Q: Sketch the region bounded by the graphs of the equations. Find the area of the region. y = -x³ + 5,…

A: Topic = Area

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A:

Q: √T lim z+1 1-√√T lim ((1/(2(sqrt1)))-2*1)/-((1)/ z-1 = 3

A: Given limit limx→1x - x21 - x

Q: 4) Use the following graph fto determine the following. If a limit is infinite, write infinity or…

A:

Q: Given P(1,1,5), Q(3,4,3), R=(1,5,7) Find the area of triangle determined by vertices of P,Q, and R

A:

Q: Power P is the time rate of change of work W. Find the equation for the power in a circuit for which…

A:

Q: Question

A:

Q: Establish the identity. csc ²0 (1- cos ²0) = 1 Which of the following shows the key steps in…

A: see below the answer and explanation

Q: 4. If the force due to gravity is defined as [0,- 10] find the vector projection of the force along…

A:

Q: dy Write a differential equation in the form da y = g(x) can be described as follows. The line…

A: given  solution funtion is  y=g(x)the line tangent to the graph of g(x) at a point (x,y) has -y2 as…

Q: Let fbe the function in blue and let g be the function in red below. (Click on the image to see a…

A:

Q: The sequence 5, 30, 180, 1080, … represents the number of bicycle crunches Hilary did during each…

A:

Q: g(x) e 4 - * Minista 6.x²

A: g(x) = 4 - x6x2 The horizontal line test states that if a line is drawn over the graph of a function…

Q: Consider vectors u and v. u = 5i + 2j, v = 2i + 3j

A:

Q: Find the values of x at which the curve y = f(x) = (4x + 3)³ (x-4)4 has a horizontal tangent line.…

A: Given y = f( x ) = ( 4x + 3 )3( x - 4 )4

Q: Find the volume of the solid generated in the following situation. The region R bounded by the…

A:

Q: Below is the graph of a function f. ● 8- -6-4-2 6+ 4+ 2 -2+ 6 Use the graph to determine all the…

A:

Q: F(s) = F(s)} = 10 (s-2)³ E: The answer should be a function of t.

A:

Q: The displacement d (in mm) of a piano wire as a function of the time t (in s) is given by d = 2.0…

A:

Q: (i) lim f(x) = 1, (ii) lim f(x) = -1, (iii) lim f(x) = 0, x→2- -0-x +0+x (iv) lim f(x) = 1, (v)…

A:

Q: f(x) = 19 + 2x-x², [0, 5] absolute minimum value absolute maximum value

A: Given 19+2x-x2 The objective is to find the absolute maximum and minimum values

Q: Find the unit rate. Del Monte Sweet Peas $1.42 for 14 oz. What is the cost for one ounce?

A: Here is the solution:

Q: 4. f(x)=3-x² g(x) = x³ + 1

A:

Q: Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f…

A:

Q: Solve the following ODE 2 y' + X y = 0 with initial condition y(1) =

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs about the line x…

A: