z = x2 + y?, y = x²,y = 1, z = 0.

Q: 3. [x*e"dx x'e

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

Q: Complete the table. lim f(x) 3 x→3 2 = -00 lim f(x) %3D x -00 2 4 lim f(x) -2 -1 0 5 6 7 8 %3D lim f...

A: Solution

Q: 7. Consider the region above the r-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

A:

Q: If the nth partial sum of a series > an is n = 1 n - 7 Sn n + 7 find a, and > an n = 1 1 a1 = 4 14 a...

A: When you put n = 1 in an That will be incorrect as it states that for n ≠ 1 that's why your answer i...

Q: differential

A:

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: Determine the convergence of the following series

A: let ∑an n=1∞ be an seriesconvergence of the series can be detremined the ratio test.iflimn→∞an+1an &...

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: b) S sin 2 x cos x dx

A:

Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below

Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: 5/3 2. 2t4 tan 3x

A:

Q: /8æ³ + 6z² + 27x + 36 Consider the indefinite integral dr aª + 9x² Then the integrand has partial fr...

A:

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1...

A: We know that a polynomial of degree n can be written in factors form as: P(x)=C x-x1·x-x2⋯⋯⋯x-xn Whe...

Q: 1 -1 1 -1 1!' 3! ' 5!' 7! 9!

A: The nth term is given below

Q: Find the first and second order partial derivatives for z x2 sin (3x + 2y).

A:

Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: ntegral. 1 3t(2 – t)²dt -1

A:

Q: Solve the non-homogenous differential equation below dy 2y + x - 3 dx y + 2x – 3

A:

Q: Find: Ex, fxx , fy, fyy, fxy, Fyx x +y F(X, y) = X+y x4-1

A: Given that: f(x, y)=x+yxy-1

Q: An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider 0 and...

A: Given data H=5miles Speed =336 miles per hour We have to determine angle  

Q: 3. Find the integral x² +12x +12 dx x' - 4x

A: Given,            ∫x2+12x+12x3-4xdx

Q: For the differential equation: (D³ + D² + 4D + 4)y = 0 when x = 0, y = 0,y' = -1, y" = 5 %3D %3D %3D...

A: Here we have to find the solution of differential equation.

Q: 2.2 2.4 | g' (x) | 25 49 81 Let y = g(x) be the particular solution to the differential equation = g...

A:

Q: Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 5...

A: The Hooke's states that the force is proportional to displacement x. Which means F=kx Where k=Propor...

Q: Find the first and second order partial derivatives for z = x² sin (3x + 2y).

A: As we know that; The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x And The first order ...

Q: Solve the linear differential equations d²x dx + 2 + dt2 dt dx + 5x = 8e-t when t = 0, x = 0,- = 8 d...

A:

Q: Find the solution for Bernoulli equation below. dy y ху? dx

A:

Q: 1 5 e dx 2メ

A: Given: I=∫15e2x2xdx We know that; ∫c·fxdx=c·∫fxdx Where, 'c' is the constant. And ∫eax+bdx=eax+ba+C

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in mete...

A:

Q: Find the volume bounded by the paraboloid z = 1+ 3x? + 3y? and the plane z = 16 in the first octant.

A:

Q: The reference angle for an angle 0 (in degrees) is the angle 0' = 360°n – 0, where n is an integer a...

A:

Q: Ordered: Baby formula 1:2 strength, 60 mL per hour to be diluted with SW. a. What is the equivalent ...

A:

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at t...

A:

Q: There is a relationship between perceived corruption and human development in a country that can be ...

A: Given  H(x)=0.3+0.28 In x                 where H(x) is Human development index                     ...

Q: f(r) = sin x cos z %3D

A: Topic:- derivatives

Q: Find distance between two lines x = 1 + t, y = 1 + 6t, z = 2t and x = 1 + 2s, y = 5 + 15s, z = -2 + ...

A:

Q: Two people run for 13 seconds with velocity functions vi = a m/s for person A and vz = 3/Tm/s for pe...

A: Topic = Algebra

Q: is the collection of all elements under consideration in a statistical inquiry. A. Statistics C. Pop...

A: Population is the collection of all elements under consideration in a statistical inquiry

Q: 6 3x° sin Evaluate: lim

A:

Q: Evaluate f(x – 1)Vxª – 4x – 2dæ -

A: Given:      ∫x3-1x4-4x-23dx      =∫x3-1x4-4x-213dx   substitute u=x4-4x-2          dudx=4x3-4→dx=14x...

Q: Find the number(s) 6 such thát the average value of f(z) = 6x² – 26x + 32 on the interval [0, 6] is ...

A: Given that: f(x)=6x2-26x+32on [0, b].Average value is 11 on [0, b]

Q: 2. Use cylindrical shells to find the volume of the solid generated when the shaded region is revolv...

A: Given:      x = 2y - 2y2    Limit : 0 to 1

Q: In Exercises 47–54, find the reference angle 0'. Sketch 0 in standard position and label 0'. 48. 0 =...

A: Given that: 48. θ=309°50. θ=-215°

Q: Integrate the functions in Exercises i to 23. 3x2 1. x° +1 1 V1+4x² (2=x)* +1 3x. V9 – 25x 1+2x 1-x ...

A: According to our guideline we can only answer first question and rest can be reposted.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Given problem:- Use the method of cylindrical shells to find the volume generated by rotating the re...

Q: Find the volume of the solid generated by rotating the region bounded by y = sin°(x) and y = 0 betwe...

A:

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a- ...

A: