Use periodicity to first rewrite each expression as the same trigonometric function of an angle in [0, 27). Then use that angle to determine the exact value from the unit circle. If undefined, write DNE. sin(똥) %= sin( 플) = 용 sec(플)= sec(플 )=|2| csc(꽃)= csc( ) sec(-n)= sec( D -1

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 9, 7/(x-1)^1/3 dx ...

A: The integral is  ∫09 7(x-1)1/3dx

Q: A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim ...

A: topic - condition for differentiable function

Q: Evaluate the expression. [18 + (-6)](-2) O A. 6 3. О в. Ос. 30 D. -6

A: We know that the BODMAS operation; Bracket  or → order  or x2.. →Division ÷ → Multiplication × → Add...

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

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A: x=number of lectures attended Row in table belowz=number of sleeping hours Column in table belowfx,z...

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

A:

Q: S(x) 3

A: The objective is to find the limit.

Q: dy (8y – a²y) + x – xy² = 0 dx

A:

Q: 2x+9 10. S x2+6x-4

A: Follow the procedure given below. 

Q: Use implicit differentiation to find y' for the equation below and then evaluate y' at the indicated...

A:

Q: 23) Find x=72+\/72+J72+. . - A) 72 B) 7 C) 8 D) 9

A:

Q: ind by implicit differentiation if y is defined as a function of x by the equation xy' + x? = x + 3y

A: Topic = Differentiation

Q: cos x 3) 1+ sin x 6) [cosh vdv

A:

Q: а. f(x) %3D х-5

A: Given: a) x-5  

Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: a, Compute the Laplace transform Lf(s) of the function f(x) = x for s > 0. See Exercises 88–91 in Se...

A: Given that: a. f(x)=xb. f(x)=x2eαx

Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

Q: Consider the following equations. f(x) = Vx + 5 %3D g(x) = x + 5 Sketch the region bounded by the gr...

A:

Q: The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the positio...

A: given acceleration a(t)=6t-24  

Q: zeros of the function f(x) = 12x - 19x2 - 101x - 60. Enten ced by commas.

A:

Q: floor refinishing company charges $1.87 per square foot to strip and refinish a tile floor for up to...

A: (a) To find: The equation for the amount C they will charge to refinish a floor when x≤210 Given inf...

Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

A:

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

A:

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy- 12=0,...

A: Topic = Functions

Q: SITUATION A. For the given DE, (xy+.x- 2y +3)dx +2(x*y – 2x- 2y)dy = 0 1. Solve for the partial of f...

A:

Q: If f(x)=x, then f'(5) = (A) 0 (B) 5 (C) 1 25 (E) (D) 5

A: Topic:- derivatives   

Q: X1 + 3x2 + 5хз + 7x4 3D 8 7x1 + 9x2 + 2хз + 5x4 3D 0 GAUSS-JORDAN ELIMINATION 2. 5x1 + 7x2 + 7x3 + 7...

A: We can rewrite the equations as follows:-    

Q: in your own words, discuss the relationship between the slope of the tangent line, the derivative of...

A: slope of the tangent line, the derivative of a function using the limit process.

Q: Write the first five terms of the sequence: (7 ln n +00 n n=1 Determine whether the sequence converg...

A: Given 7lnnnn=1+∞

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

A:

Q: Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x ...

A: Please see the solution given in step 2

Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: dり me me pag

A:

Q: 4t2+3t sin t 2. lim t 0 t2

A:

Q: dy (2a³ – 3x²y + y³) 23 – 6x²y + 3ry? dx %3D

A: This question is based on solution of homogeneous differential equation.

Q: Please choose the answers from a to i.

A: To choose the answer from the given options.

Q: х3 + 2x2 + х 1. iim х->-1 2x2 —— х — 3 х3 + 2x? + 7х 2. lim X→-2 2х — 3 х3 + x2 + 4x 3. lim X→ー3 2x2

A: 1) limx→-1x3+2x2+x2x2-x-3Apply L-Hospital Rulelimx→-13x2+4x+14x-1=3(-1)2+4(-1)+14(-1)-1=3-4+1-4-1=-1...

Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

A:

Q: What is the general solution? d3x d?x – 4x = 0 dt3 dt2

A:

Q: Find the point of intersection between the line x+2/6 = y - 3 = z/3 and the plane x + 2y – 4z = 0.

A:

Q: 1. Find the determinant of the following matrices by using elementary row operations. 4 -7 9 1 6. (d...

A:

Q: Inx 2. lim x-1x-1 1 0.9 0.99 0.999 1.001 1.01 1.1 f(x)

A: Find your answer below 

Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

A: Given

Q: ) Prove that r1 and r2 intersect and calculate their intersection B) What is the angle between r1 an...

A:

Q: 33x+15 h(x) = x*+11x

A:

Q: Evaluate the integral: /V13 – 49a*dæ

A: Integration

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: We have to find sequence is convergent or not and also find its limit.

Q: 10. There is a jump discontinuity at x = 1 and lim f(x) = 1 x →1-

A: There is a jump discontinuous at x=1 and limx→1-f(x)=1

Q: x(x²-x+2) dx is equal to 3

A: