Find the limit. (If the limit is infinite, enter 'oo' or '-o', as appropriate. If the limit does not otherwise exist, enter DNE.) lim r8 7-r + 8r

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: een Sketch the sold and a typical disk or washer. Graph Graph Description Graph Graph Description Gr...

A: Given:- y=ex , y=0 , x=-2 and x=2  To find:- Figure of solid rotating region bounded by given curve ...

Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

A:

Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y 1 1...

A: The region bounded by y=1+ln x3x between x=1 to x=2

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: 4. (a) Prove the reduction formula: tan?n-1 (2r) _ [ tann-2 (2r) dr 4n- 2 tan" (2.r) dr (b) The redu...

A:

Q: -97 a. Find the most general real-valued solution to the linear system of differential equations a' ...

A:

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

A: Given that a non homogeneous differential equations and we solve by using general property of differ...

Q: Which of the following is the limit of f(x)= 1-5x as x appro qchers 1 a. - 2 d. does not exist

A: If the denominator and numerator gives a non zero value on applying the value where limit to be foun...

Q: 9. ſ csc 3x dx 10. S sin x e cosxdx CoSx

A:

Q: 5. Using the given graph on the side, determine if the function f is continuous on the following int...

A:

Q: Estimate the value of im (v?+x+2+x) X- -00 by graphing the function f(x) = V x² + x + 2 + x. (Round ...

A: Given f(x)=x2+x+2+x  

Q: Find all points (x,y) on the graph of y = X-4 with tangent lines perpendicular to the line y = 4x- 3...

A:

Q: x? – 3 - 3 dx x +1 Evaluate

A:

Q: What was the most important thing you learned during the class discussion?  Reflection about  Integ...

A:

Q: Question Given f(x) = 3 fihd f (-4) using the definition of a derivative. I+2'

A:

Q: 2w +x + 2y +z = 6 -9x + 9z = 18 - 5z = -13 - 3y = 4

A:

Q: For following points please plot the pointsand find the distance between the points and find the mid...

A: We know that, Distance= √((x2-x1)²+(y2-y1)²) Mid-point= ((x1+x2)/2,(y1+y2)/2)

Q: Example 19-24. Given log1, 654 = 2-8156, log, log10 658 = 2-8182, log10 659 = 2-8189, log 10 661 = 2...

A:

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

A:

Q: that f(r) >0 and (r) (a) Determine which of the following functions are probability density function...

A:

Q: ū = (-/3, –1) and w = (1, /3) E. |

A:

Q: Evaluate the derivative of the following function. f(x) = (2x)²x f (x) = (Simplify your answer.)

A:

Q: Expand the expression. If possible, write your answer without exponents. 8m log 2

A:

Q: Solve the initial value problem (x+ 2) y' = xy + 2y – 3x – 6 when x = 0, y = 1.

A: (x+2)y' = xy + 2y - 3x - 6  So, (x+2)y' = (x+2)y - 3(x+2)  So, (x+2)y' = (x+2)(y-3) 

Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A:

Q: 1. Н: у%3DNx+1 2. g: y=|x|

A: Given :H : y=x+1g : y=x

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

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

Q: (x² +3x – 4)(x² –9) h: y=- (x* +x-12)(x+3)

A: The function is  y=(x2+3x-4)(x2-9)(x2+x-12)(x+3)  

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ

Q: = csc x and the interval [0, 27), for what value of x does f(x) : On the graph of f(x) apply. = -1? ...

A: We can find the answers as below in support of the above question.  

Q: Let a be a positive constant. (a) Find a formula for the nth derivative of f(x) = eax. (b) Find a fo...

A: We have to find nth derivative.

Q: Use a truth table to represent the following statement. Ensure that you explain the steps taken. Rox...

A: Given:     1.Roxanne, Sam and Thomas will attend the play if and only if Vince doesn’t attend,     2...

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: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter 'o' ...

A:

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

A: We have to find the value of b such that the average values of f(x)=6x2-26x+32 on the interval [0, b...

Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

Q: 2 2.2 2.4 g' (x) 25 49 81 Let y = g (x) be the particular solution to the differential equation dy =...

A:

Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

A:

Q: solve the differential equation (x3+y4)dx+8y3xdy=0 when x=4, y=1/2

A:

Q: Consider f(x) = 1 – x for 0 1: an b) O an = c) O ao = 1/2, and for n > 1: a, = 4(1+ cos(nT/2))/n²n²...

A:

Q: dy Find the slope field of dr 6x using GeoGebra.

A: We have to find the slope field of dydx=6x using GeoGebra.

Q: 1 n = 2

A: Telescoping series are series in which all but the first and last term cancel out.

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: 3 a (a) In 64cl (b) In V/bªc²a! 2

A: Given that: lna=2, lnb=3, lnc=5.(a)lna3b4c1(b)lnb4c2a(c)ln(a3b4)ln(bc)1       NOTE: As per our answe...

Q: Find the volume of the solid obtained by rotating this region about the line x = 3.

A:

Q: dæ + 2x +5/ x dt = 1 1 where: x (0) =0 dt

A:

Q: 4. The following statements indicates the use of inferential statistics EXCEPT A. A manufacturer of ...

A:

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: Solve the first order differential equation (x2 - 3bxy + 2b2y2) (xdx + ydy) = xdy - ydx

A: