(a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

Q: Evaluate 2 6 (x + 2)√√/x-2dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Find the curvature and radius of curvature of the plane curve at the given value of x. 32 y = 9x, x…

A: Given that Y= 9x - 32/x ; x= 4. And we find curvature and curvature of the plane at give x value.…

Q: Evaluate the ff (show all steps) S COS (Inx) dx

A: See the details solution in below

Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

A:

Q: Emptying a tank A vertical right-circular cylindrical tank mea sures 30 ft high and 20 ft in…

A:

Q: Solve the differential equation by variation of parameters. y" + 2y + y = et In(t) y(t) =

A: The given differential equation is; y''+2y'+y=e-tln(t).

Q: x² + y² = 7 X=7 O igular (solve) x² + y² = 49. - Option 1 O

A: Given that r=7  r2 =49 let x= 7 cos(theta) y=7 sin(theta)

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 3x F(x) = [ cos (tº) dt.

A: Here we use fundamental theorem of calculus.

Q: (a) Find Maclaurin expansions for sin 2x, cos 2x and e³ up to and including the term in x³. I (b)…

A: Maclaurin Series for f(x) :       f(x)≈ f(0) +f'(0)x +f''(0)x22!+f'''(0)x33!+... Note : As per our…

Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 3 f(x) = (5x…

A:

Q: - [² Suppose F(x)= = sin(t) dt. Use the Fundamental of Theorem of Calculus to calculate - (F(x³)).…

A:

Q: E Surface integral is used to find Density Area Surface Volume

A: Surface integral is used to find

Q: True or False: We have Select one: True False -8 √xdx = 64 3

A:

Q: Which of the following is a unit vector parallel to the vector ? Select one: 2 0 8 1 4 <- 81¹ 81¹…

A: Let's solve.

Q: Determine the location and value of the absolute extreme values of f on the given​ interval, if they…

A: The function is given as , fx=8x33+14x2-16x find the location and value of the absolute extreme…

Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: The general solution of the DE+4-5y=0 y= Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x Option…

A: We have to find the general solution.

Q: II. Solve the given differential equations. (x+y-4) dx - (3x - y - 4)dy = 0; when x = 4, y = 1 (6xy…

A: We have to solve given DE.

Q: The one-to-one function fis defined below. 3 f(x)=√√/2-x+7 ¹(x), where f¹ is the inverse of f. 1…

A:

Q: Using triple integrals, calculate the volume of the set in 0 ≤ x ≤ 1; 0 ≤ y ≤ 1; 0 ≤z<5-x²-y² Ps:…

A: Find Volume of the set in 0&lt;=x&lt;=1, 0&lt;=y&lt;=1,&lt;=0z&lt;=5-x2-y2 .

Q: 08 06 04- 02- }} ye y=0x=y² 02 yer* dxdy = 36 38

A: To switch the order of integration and then evaluate the value of integration.

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: answer is in next step . please give a like !!

Q: 0. Given the following functions, make a sign sign diagram for • the first and second derivative and…

A:

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

Q: Consider the following graph on the interval - 165° < x < 270°: 5 4 3 2 D 1 150-120 90 -60 -30 -1 -2…

A: We have given a graph of function and finding amplitude,period and function

Q: Convert (5,2) to rectangular coordinates:

A: Given problem:- Convert (5, π/6) to rectangular coordinates:

Q: Let f(x)=1/3x+2. Use limit definition to find f'(x) algebraically

A: Solution of given question is written in below steps.

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) Option 3 O Option 4 O…

A:

Q: √y Find the mass and the center of mass of the lamina with density 8(x, y) = - x² +1 the rectangular…

A: Please see the below picture for detailed solution.

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

A:

Q: Prove that for any integer n if 3n+ 2 is even, then n is also even.

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find r'(t). r(t) = (3 cos(t), 4 sin(t)) r'(t) = (No Response) Need Help? Read It Watch It

A:

Q: Determine whether the set, together with the indicated operations, is a vector space. If it is not,…

A: We have to choose correct option.

Q: Find the following for the given equation. r(t) = 8 cos(t)i + 8 sin(t)j (a) r(t) = (No Response) (b)…

A:

Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

A: We have to compute the cross product and find if it is perpendicular to both vectors.

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

A:

Q: the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter your…

A:

Q: Given that 2+i is a zero of f, find all other zeros. (Enter your answers as a comma-separated list.)…

A:

Q: If f(x) = 2x-7 and g(x) = x² - 9 then go f= a) 2x - 7 b) (2x-7)²-9 c) 2x²-25 d) none of these 1.a…

A: Finding g(f(x))

Q: Solve 2 sin² (t) + sin(t) - 1 = 0 for all solutions 0 < t < 2π t = Give your answers as a list…

A:

Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

A:

Q: The definite integral is equal to Select one: lò xác thỉ xác Of xdx + ² xdx Of xdx + xdx Of xdx -f²…

A:

Q: The derivative of a^u with respect to x is

A: Aim:- To calculate : ddx(au)

Q: [3 -2 21 The matrix A=0 -2 1 one of the eigen vector is (solve) Lo 0 11 250 Option 4 O [3] -2 -31 2…

A:

Q: ries of f(x) = lor series. =0 =0 =0 (−1)²+1 (-1)²+¹ (-1)". 1 (x-7)" 8n+1 (x (x − 8)¹+1 7" E(-1)", =0…

A: We have to find the Taylor series from the given condition and also indentify  the valid interval

Q: Evaluate 2 1.³ sin(2x + 3)dx -0.9989 None of them -0.9998 1.21 0.9989 -0.9899 0.9899

A: ∫0π/2 sin(2x+3)dx here we have to integrate then apply limit  integration of sinax = -cosax/a apply…

Q: List the first five terms of the sequence. an = (-1)^-1 3n a₁ = 1/3 1 32= -1/6 33=1/9 аз 34 = 45 ||…

A:

Q: Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume of…

A:

Q: Is W a subspace of the vector space? If not, state why. (Select all that apply.) W is the set of all…

A:

Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x+6/(x^2+6)^1/2 Find…

A: See this solution in below