f(x) = 1 is discontinuOUs at x=2 because %3D x- 2 A. f(2) is not defined B. lim f(x) is existing C. f(x) is a fraction D. both a and b x+2

Q: (D²+1) y 4 see X . ニ

A: 1. We know, ∫secnxdx=n-2n-1∫secn-2xdx+secn-2xtanxn-1   Given differential equation, D2+1y=sec4x........

Q: Solve the limit using table of values.

A: Given that: r(x)=x-2x+5,               x≤-44,                       -4<x<0x2-7x+4,          0≤...

Q: Find the value of m such that g(x) = {x+5 , if x ≤ m} and g(x) = {2x - 3 , if x > m} is continuous a...

A: Function limit and continuity 

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: h> ח) tan x

A:

Q: (a) Show that the limit xżycos y lim (x.y)→(0,0) 2x+ +y² does not exist. (b) If u = x cos y+ ye», wh...

A:

Q: Let f(x, y) = 6x – 2ry and the point M(5, 9). Among all unit directions, there is a unit direction (...

A:

Q: nsw

A: [16+(-4)](-4)

Q: sin' x dx cos x 18.

A:

Q: Evaluate the following integral (please write it out, instead of tying if possible)

A:

Q: Find the lengths of the unknown sides in the right triangle.

A:

Q: dx Evaluate the integral / by completing the square and using x² + 4x + 20 trigonometric substitutio...

A: integration with subsitution 

Q: method of undetermined coefficents when x-0, y=0, Y=0 V Solve using 3X (D4 4D +5)y z 13e +50x

A:

Q: An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end ...

A:

Q: 3. Problem 2. Is the matrix a linear combination of the matrices 2 and Justify your answer.

A: Given matrix  3002, 1001 and 1000

Q: Perform the indicated operation and simplify if possible. 17. 17 O A. V7 O B. 7 OC. V14 O D. V49

A: Topic:- simplification

Q: paxt9_ dx 2X1 hーメクナでメ

A:

Q: 19) In Problems 19) through 21), given a piecewise function: |(1- tanx)cot x f(x) = 3/ k (x > 0) (x ...

A: Given that:                              

Q: Evaluate the integral. Don’t skip any steps.

A:

Q: 2. Consider lim xa q(x) A student says that this answer means the limit is 1. Is the stude correct? ...

A: Since we are given with the multiple number if question and our guideline is solve first question ki...

Q: Calculate a and b such that v = au + bw if u = , w = and v = .

A:

Q: Find the position vector i that corresponds to the vector graphed below. Note that each box in the g...

A:

Q: and x :8 and stra ight : 1 y Let R be an area enclosed by a curve. Find all intersection points in R...

A:

Q: (e* + y)dx + ( 2+x+ ye )dy =0

A: See the details solution in below

Q: Helium is pumped into a spherical balloon at a constant rate of 2 cubic feet per second. How fast is...

A:

Q: A recipe calls for 4 of a cup of flour to make one batch of doughnuts. If Cecilia wants to make 9 ba...

A:

Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е. sin...

A:

Q: 2 Let R be the region of the 1st quadrant surrounded by a curve. X : + 2 straight straight line 4 - ...

A: Follow the procedure given below.

Q: dy Find for: dx tanx a) y = xaT b) y = (Inx + x)'

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: find dw and w for the folloing function 5

A: Let's find. 

Q: The terminal side of an angle 0 in standard position lies on the line in the given quadrant. Find th...

A: Here, the given line is: y=-5x⇒yx=-51 So,  tan θ=yx=-51 (in II quadrant)⇒oppadj=51⇒opp=5, adj=1⇒hyp2...

Q: find the diff eq. of the family of curves described. draw atleast 3 members of the family. all circl...

A:

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A: Given equation: x2=4y    which has to be revolved about the y-axis.  

Q: Find the equation of the tangent line and equation of the normal line to the graph of 3x cos y = 1 +...

A:

Q: Use a 45°-45° right triangle to find the exact value of the following trigonometric expression. cos ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the radius of the circle i...

Q: Problem 4 Show that arcsinh(x) = sinh(x) = In (x+ V/x² +1). %3D int: Let y = sinh¬' (x). Then x = Iv...

A: Topic:-  trigonometry

Q: (x - 2y +4) dx + (2x-y+ 2) dy =0

A:

Q: using undetermined coefficients (D^2-2D+2)y=24e^x sin3x

A: Given: (D2  -2D+2)y=24ex sin3x

Q: 3, 4, 5, 6, 7, 8, 2, 10 and 11 A vertical plate is submerged (or partially submerged) in water and h...

A: The given question can be solved as shown in step2.

Q: Find the second derivative of vx - Jy= 4 when x = 1. 2 1 -1 -2

A:

Q: Suppose: sin(x) = -0.1 cos(y) = 0.5 tan(z) = -4.3 Then, sin(-r) =| 0.1 cos(-y) = 0.5 tan(-2) = 4.3 a...

A:

Q: and stra ight and x : 8 Let R be an area enclosed by a curve. : 1 Using the cylindrical shell method...

A: Given problem:- Let R be an area enclosed by a curve. X =4√y and straight line y=1and x = 8 Using th...

Q: Let f(x) = x² – 3x+ 4 and g(x) = Vx – 3. Find the following - - (a) f(0) (b) f(2) (c) g(12) (d) g(4)

A:

Q: Solve the differential equation. dx = (x2yey^3 - 3xy2) dy

A: dx = x2yey3 - 3xy2 dy

Q: Solve using method of undetermined coefficients (D²- 2D+2)y 24 e s in 3X %3D

A:

Q: 4. A tree on a hillside casts a shadow 215 feet down the hillL. If the angle of inclination of the h...

A:

Q: we will use the notations A, B, and C to denote the angular measure of the interior angles of the tr...

A:

Q: Let P = (x, y) be a point on the graph of y = VI+3 (a) Find a function d(x) for the distance from Pt...

A:

Q: 22) Find lim -5 e-2x+6 .given e =2.7 and e0 = 1. = %3D X 3 A) -13. 5 В) - 2.7 C) 0. 0 D) -5.0

A:

Q: ITC A= - radians The Ieast positive angle that is coterminal with A is radians. (Type an exact answe...

A: