Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

Q: Let The coefficient of x' in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: Note that, the power series of ex is: ex=1+x+x22!+x33!+...

Q: 4 3. 2 1 -4 -3 -2 -1 2 -1- -2- -3+ 3. From the above graph of y = f(x), find the following limits:…

A: a)2  b) -2  c) -4

Q: R(t) = (2 In|sec tl, sin 2t, cos 2t) Find the distance travelled by a particle along the curve…

A:

Q: Find the volume generated by revolving the area bounded by x² - 4x - 4y + 4 = 0 and y = 1 about the…

A: To find the volume generated by revolving the area bounded by x2-4x-4y+4=0, and y=1, about the line…

Q: 1) Find |R'(t)|, Make sure to simplify your answer 2) Find the distance traveled by a particle…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A:

Q: The area bounded by the parabola ay=x², the x-axis, and the line x=b is revolved about the y-axis.…

A:

Q: 7. Use Disk Method to find the volume of the solid generated by revolving the R bounded by y =√x =…

A: Given that Region bounded by y=1x+1,x=0,y=4Revolving about x axisUsing washer/disk mathod…

Q: Given: vector-valued function R(t) whose derivative R'(t) = (4t, 6t, —12t) (a) If R(0) = (-1,4,-5),…

A:

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

A:

Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

Q: Let P be the point with Cartesian coordinates (6, 9), and C be the plane curve with parametric…

A:

Q: Determine if the function f (x, y) = if (x, y) = (0,0) is continuous at (x, y) = (0,0). If not,…

A: Use limit to find wheather function is continuous or discontinuous.

Q: Find a particular solution of =(x-1)² if y=-21 when x=-3. dy dx

A: Given differential equation is;…

Q: dy Find by implicit differentiation, given that x²y – 2y6 = =-5. Your answer could involve both dx x…

A:

Q: If z is a function of x and y implicitly defined by əz əz find and əx ду at (x, y, z) = (0, 2, -1).…

A:

Q: S√4 4+² +3 dt

A:

Q: 7 x = R¹, ƒ(x):=· + 3√x² 1-x 1+x² +ea² +1 +π².

A: see below the answer and calculation

Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

A: Solution :fx=ax3+bx2+cx+d f0=2  givend=2   ... 1critical number :f'x=0f'x=3ax2+2bx+c3ax2+2bx+c=0c=0…

Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

A:

Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given, f(x)=x24(1-x)

Q: Evaluate J (2a² y +9y³)dA, D is the region bounded by y www 33522 a. 5 O b. 4811 5 OC. None of the…

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A:

Q: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: The population of a city is modeled by the equation P(t) = 357,512e0.25(t) where t is measured in…

A: We have to find how many years will it take for the population to reach one million.

Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

A: The parametric equation,x=t2-t and y=2t3-1123

Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

A:

Q: Problem 4. A rectangle is constructed with its base on the diameter of a semicircle with radius 5…

A: Given problem:- A rectangle is constructed with its base on the diameter of a semicircle with radius…

Q: -5x² +11x+2 x(x+1)² dx 2ln|x| +3 In|x +1| + + + C x+1 Option 1 2ln|x| +3 In|x +1| +++ C Option 3…

A:

Q: Suppose that f(x) = x² − 3x + 2. Then there is no critical number to determine concavity. Select…

A:

Q: Given the following sets: U = {Kazoo, French Horn, Guitar, Ocarina, Bamboo Flute, Viola, Saxophone,…

A:

Q: (b) p = 2 sin p cos 0

A:

Q: Jonathan invested $240,000 to purchase a home. After 14 years, he sold the home for $320,000.…

A: We have to find interest rate on the investment.

Q: a continuity of the function esinx (x,y) # (₂) X (X,Y)= (0,0) Discussion Sexiy) at the Point (0,0),…

A:

Q: Consider the vector-valued function R(t) = 1. Find the domain of R. 2. Show that R is continuous at…

A: All three questions are solved.

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: This question can be solved using the concepts of application of derivatives.

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (6x + 12) + 1.3…

A: Domain of a function:-  Set of all values of independent variable such that function at that point…

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

A:

Q: 0 W³ 6w² +3 dw

A: Given, ∫01w36w4+3dw

Q: . The area bounded by the parabola y² + x - 2y = 1, the x-axis, and the line x = 2 revolves about…

A:

Q: vy B. Find the derivative of function f(x, y, z) = 3e* cosxy + ex² + Inzx at point P(1,0,) in the…

A:

Q: q4

A:

Q: Find the derivative of f (y) = 153/g In(y)

A: Given: f(y)=15y3lny

Q: Given: planes Π1 : 2x − 5y + z = −1 and Π2 : x + 5y + z = 5 intersecting on a line ℓ. (a) Compute…

A:

Q: Cynthia's investment of $81,200.00 in a fund matured to $160,353.29 in 7 years. If the interest in…

A: We want to calculate period and nominal interest rate.

Q: If fx √1- x4 dx = ge ½ A B 0 C D) 1 H|2 H|4 g(e) de, then 9

A: We can solve the given integral by using substitution.

Q: x2 (x+2)³ dx In Ix + 2) + 4x+6 (x+2)² +C In Ix + 21 4x+6 (x+2) +C

A:

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: 1 (b) lim x →0 sin² x 12/200…

A:

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

A: