Question #8 C15: “Find the approximate or exact value of a definite integral using rectangles and/or the exact value of a definite integral using the Reimann Sum Definition." Use the Definition of the Definite Integral or Theorem 4 from Section 5.2 to find the exact value of the definite integral ,(3x + 4)dx. -2

Q: Find the volume of the solid in R' bounded by y = x2, x = y?, z = x + y + 27, and z = 0.

A:

Q: (D2 + 4)V=4 cot 2x

A:

Q: C08QX dX

A: solution:-∫cos3x dxwe know that cos3x=4cos3x−3cosxcos3x=cos3x+3cosx4=∫cos3x+3cosx4 dx

Q: Evaluate the difference quotient fla+k) - fla) for the function fx) = 5x. %3D 1 5h

A: We can find the difference quotient

Q: is no solution for p

A: D.

Q: y" + 25 y = 10(cos(5t) – 2 sin(5t)), y(0) =1, y'(0) = 2. %3D %3D

A:

Q: Which formula would be used to calculate the left rectangle approximation of o 4x dx using five…

A: topic - integration using left end points

Q: 11

A: As per policy only first question is answered. Please refer to the image below

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: 2Su° (4 + u°)°du

A:

Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

A:

Q: Question 2. (a) ( Evaluate the triple integral z dV, where E E = {(x,y,z):0<x<2, 0<y<2, 0Sz<3). (b)…

A:

Q: The implicit derivative formula on a surface F (x, y, :) = 0 is: *--() F Evaluate d:/Əx on the…

A:

Q: The dimension of the vector space P3 is equal to: Select one: O 5 none of the others O 2 4 O 3 ):…

A:

Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B = (2,1), and C =…

A:

Q: Consider the function defined by 1 g(x, y) = cos (Tx Vy) + log3 (x – y) Calculate the instantaneous…

A:

Q: Find the volume of the solid above the region D={(x,y) : 0s Xs V27, 0s ys 27-x2) and between the…

A: Let's find.

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

A:

Q: (a) sin(x) 2 0.5 x> π,x<π- πόπ6 <x< 5π6b ) (h)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Write the system of equations corresponding to the augmented matrix. Then perform the row operations…

A: This question can be solved using the concept of augmented matrix.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

A:

Q: 12 – r|, 2. Suppose f(r) = {0, if a > 2 if r = 2 14 – 22|, if r < 2. (a) Find lim f (x). z+2+ (b)…

A: a)limx→2+ f(x)=limx→2+ 2-x=limx→2+ 2-2 =0b)limx→2-  f(x)=limx→2- 4-x2=limx→2- 4-4 =0

Q: For the given functions, identify the horizontal and/or vertical asymptote(s). Then write the domain…

A: Let's find.

Q: Part (3) Double Integration in Cartesian coordinates: 1) Find the volume of the solid under the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 50 ee the wWind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a…

A:

Q: Compute the derivative d/dx of the following functions: y = 2 sec x − csc x x cos^2(4x)…

A: y = 2 sec x − csc xDifferentiate w.r.t.xdydx=ddx( 2 sec x − csc…

Q: 8 x3 dx Vx2 + 36

A:

Q: Solve a3 -4x2 +4x lima→234 –12.a³ +12a²

A: We have to solve the given limit.  We can use Factorisation method.

Q: cln2 e-x dx 0.

A:

Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. 2х -…

A:

Q: 2t dt (1² +2)*

A:

Q: An object is being heated such that the rate of change of the temperature T in degree Celsius with…

A: Here we have to use the Runge-Kutta 4th order method

Q: 2 | Vxe-*dx хе ах

A:

Q: Consider and know that the function g defined by 1 g(x, y) = cos (Tx /g) + log3(x – y)* - Answer the…

A:

Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: 27) y"+2y'+ y = e", y(0) = 0, y'(0) = 0.

A:

Q: a) Determine whether the series 00 Σ is convergent or Vn3 + 4n + 5 n=1 divergent. b) Determine…

A: a The given series: ∑n=1∞n3n3+4n+5

Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

A:

Q: Evaluate the following integrals. Show all the necessary solutions. 2. y In?(1 + 3*) dy 1 + y²

A: I=∫y ln7(1+y2)(1+y2) dyI=∫ y ln(1+y2)7(1+y2) dyln(1+y2)=t1(1+y2) (2y) dy =dty(1+y2) dy=dt2

Q: 3. Vsech 2t Evaluate dt 3. coth 2t

A: Application of integration

Q: Let D be solid cone /x² +y² <:<1. Use CYLINDRICAL COORDINATES and find the mass if the density is ô…

A: To find the mass .

Q: dy 2- Inx- y 3- xe* dy +: x2+1 dx = 0 y %3D

A:

Q: 1.. Determine the equation of th a) -3 36 -2 26 1 16 1 -4

A:

Q: y" + 3y' + 2.25y = 91' + 64, y(0) = 1, y'(0) = 31.5

A:

Q: Find the area of the triangle whose vertices are given below. A(- 5,3) B(2,– 5) C(10,- 5) The area…

A:

Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

A:

Q: (a) Suppose f is a function with domain the interval (a, b) with a < b. If f is an even function,…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find the radius of convergence and the interval of convergence of the series. n!x" 1.3.5 ... (2n –…

A:

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x²…

A:

Q: Find the sum of the series. n=1

A: