Determine whether the sequence converges or diverges. If it converges, find the limit. (If the sequence diverges, enter DIVERGES.) S In(n) In(3n) lim a =

Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – a…

A:

Q: Graph the function. f(x) = 3*

A:

Q: dy = 2xV1 – y², 17. -1< y < dx

A: We have to find out solution

Q: Question 9 > A 25-year-old woman burns 800t cal/hr while walking on her treadmill. How many calories…

A: Solution: Given  Function of calories are  burned= 800t cal/hr  So for 3 hrs  t=3 So calories burned…

Q: Using a trigonometric substitution, the integral dz becomes: 2+25 (a) 25 (tan 0) (sec 0) de (b) 5 /…

A:

Q: Find the following sum, if it exists. 0.4 + 0.0080 +0.00016 + .. Select the correct choice below…

A:

Q: Evaluate the logarithm using the change-of-base formula. Round your result to three decimal places.…

A: Given query is to find the value of the expression.

Q: A small radio transmitter broadcasts in a 25 mile radius. If you drive along a straight line from a…

A:

Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

A:

Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: d sin x 1 dt| = dx et + 5 cO X 1 1 1 (A) esinx + 5 (B) e* + 5 (C) (esinx + 5) cos x (D) e sin x

A: We know that integration power rule is given as - Integration of xn is nxn-1.   Here i attached the…

Q: Let g(x) be a differentiable function for which g'(x) > 0 and g"(x)< 0 for all values of x. It is…

A: Given query is to find the possible value for g(7).

Q: 3 sin z If f(2) = then 2 + cos z f'(2) =| f'(5) -

A:

Q: Find fractional notation for the infinite sum. (These are geometric series.) 0.1313131313...

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t) ||r(t)||* r(t) = 8 cos(7t)i + 8 sin(7t)j + 3t

A:

Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

A: We have to find out  spherical coordinate

Q: f(x, y) = /32² + 3y fz(4, 5) = VT23 %3D

A:

Q: The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by P =…

A:

Q: Find the flux of F across S, F.N dS where N is the upward unit normal vector to S. F(x, y, z) = xi +…

A:

Q: 2x-x -2x +1 3 2x-1

A:

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

A:

Q: b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of…

A:

Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of mold,…

A:

Q: Match each series to the name used to describe it. a. geometric series b. p-series C. none of the…

A: We know that,  A geometric series is the sum of an infinite number of terms that have a constant…

Q: Write the complex number in standard form. (Simplify your answer completely.) 3 - -64

A: This question can be solved using the concept of complex numbers.

Q: 5,7 4.6 Find the four second-order partial derivatives for f(x, y) = 3x°y' +5xy "y %3D "yy

A:

Q: A(8, 3,8), B(9, 8,33), C(9, 5,12), D(9, 7,24) a

A: answer is in next step

Q: 北13 find the the Value an equation Curve at the Value for the line tangent to Point defined by of t.…

A:

Q: Find the particular solution determined by the initial condition. ds 17t +7t-6, s(0)= 86 dt %3D The…

A: The given differential equation is ; ds/dt = 17t2+7t-6, s(0)=86

Q: A spring has a natural length of 30 cm. If a 27 N force is required to keep it stretched to a length…

A:

Q: Sind the a rea betwee h 2. メニリ and メ=9で

A:

Q: 4. (3a* +23a +10a -21a+58)÷(a+7)

A: Given that,    3a4+23a3+10a2-21a+58÷a+7

Q: Use the formula k(t) = ||r'(t) × r"(t)|| to find k(t). ||r(t)||* r(t) = 8 cos(7t)i+8 sin(7t)j + 3tk…

A: Let's find.

Q: 5 Calculate the second and the third derivative of y = 6x – y": y"

A:

Q: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: 36 Use substitution to find the indefinite integral dx. (6x - 7) 36 dx = 7 (6x - 7)'

A:

Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE ANDCLEAN SOLUTION. (x – 2y + 5) dx - [2 (x – 2y) + 9] dy = 0…

A:

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x + 1 at (6,…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: tan x If f(x) = 3 sec a f (2) = f (1) =

A:

Q: f(x) = x³ + 12x2 – 27x + 5 over each of the indicated intervals. (a) Interval = [-10,0]. 1. Absolute…

A:

Q: 12 (2). Here is an Ry region, in the XY plane: Consider the change of variable u = xy and v = 3y +…

A: Here we have to write the integral by using change of variable.

Q: a. Write the parametric equations of the line L passing through point A(-9,-7,-5) and perpendicular…

A:

Q: (a) Evaluate the double integral.

A: answer is in next step

Q: EXAMPLE: Method of variation of parameters. Solve the nonhomogeneous ODE %3D sec x = %3D COS X

A:

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

A:

Q: a)Write an equation for a degree 3 polynomial that has zeros at x = -2, x = 1, and x = 4, as well as…

A: We are allowed to solve one question at a time. Kindly repost other problem in next questions. Thank…

Q: Using the following vectors, determine each of the following: (Draw a labelled diagram, and give the…

A:

Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

A:

Q: The graphs of the functions f and g are shown below. If u(x) = f(g(x)), find u (4). 3. 2- 2. 3.…

A:

Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: topic -application of derivatives