Which of the following sets is denumerable? A.) [1, 20) B.) { 1.9, 1.99, 1.999, 1.9999, 1.99999, . . . } C.) The intersection of [1, 4] and [2, 5] D.) { 0.1, -0.9, 0.01, -0.99 , 0.001, -0.999}

Q: Consider the curve y = x – x³. (a) Find the slope of the tangent line to the curve at the point (1, ...

A:

Q: Express the following differential equation in terms of a differential operator: d² 9. dx? •() + dy ...

A: The given differential equation is:9d2ydx2+12dydx+4y=0

Q: d'y Given the differential equation, dx? dy 2y = e2" sin(2x) cos(2x), the propsec - dæ particular so...

A:

Q: 3 sin (t) cos“ (t)dt

A:

Q: A ball is shot into the air from a bridge, and its height, yy, in feet, above the ground tt seconds ...

A:

Q: A spring is stretched 3 in. when an 8-lb weight is hung on it. The 8-lb weight is attached and pushe...

A:

Q: dx -x - e

A:

Q: Find the most general antiderivative of f(t) = 1 cos(t) – 5 sin(t). Note: Any arbitrary constants us...

A:

Q: Tan -30  find the exact value of each trigonometric function

A: The given trigonometric function is: tan(-30)

Q: Given the differential equation: y"+3y'- 4y = e42 Propose an appropriate particular solution Yp = (A...

A:

Q: (5an 20 elan 20 sec²2 Bd ß 1. e?x +2e* dx e* +1 2.

A:

Q: y" + 2y' + y = te-t (s² + 2s + 1) y(s) 1 1)y(s) = (s² 1 + 2s + 1) y(s) = (s + 1)? (s + 1)* A.) В.) 1...

A:

Q: 2 dy + x da The differential equation g3. - 5y = e" is: %3D O linear and second-order O non-linear a...

A:

Q: Find the Laplace Transform of the piecewise function. (2 ,0<t<4; w(t) = { í 1? ,t 4. O 252+e-48 (2+8...

A:

Q: Given the differential equation (D + 9D² + 27D + 27) y = ln(2x - 3). Propose %3D an appropriate part...

A: We will find the particular solution for the given differential equation.Below find the solution in ...

Q: -13 csc e = 37 sine cose 5. If 5 and 2, then find csce soc e

A:

Q: etermine whether the given lines are parallel, skew or intersect. If they intersect, find the point ...

A:

Q: Given the curve y = x3 + 3x, at what point is y' = y'' ?

A: As we know that, The Power law: ddxxn=nxn-1 The sum/difference rule: f±g'=f'±g'   Given: y=x3+3x And...

Q: d'y Given the differential equation + 4y = 0 and the initial dx2 conditions y(0) =0 and y'(0) = a, w...

A:

Q: Given the equation sec x tan x S - Vsec2 x – 1 dx

A: Given,            ∫secxtanxsec2x-1dxTo find : Simplify the given equation.

Q: ax + by + cz + d, = 0 13) Show that the distance between the parallel planes: and ax + by + cz + dz ...

A: here we have to prove the formula of distance between 2 parallel planes.

Q: Given the differential equation y" +3y + 2y =D Which of the (1+e²) following equations result after ...

A: sOLUTION IS GIVEN BELOW

Q: TAT So use the 1. Show csC x =- CSC X Cot x. (Hint: csC X = quotient rule.)

A: topic - derivative of a trigonometric function note: as per bartleby guidelines, we are supposed to ...

Q: sec(ln r) tan(In r)dr 7. J4r? -r sec(ln r) .2 1/

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Construct an appropriate triangle to find the missing values. (0° s05 90°,0s@s/2) Function e (deg) e...

A:

Q: Find the exact length of the curve. X = Vу (у — 3), 16 <y S 25

A: First differentiate wrt y

Q: siny+ tan y = siny %3D 12. 1+ secy

A:

Q: x dy -ydx -Vx²_yz dx =0

A:

Q: 1. A committee of 5 shareholders is to be chosen from a larger group of 7 men and 5 women. How many ...

A:

Q: Finalize answer free of logarithms and radicals. Express final answer as C= ____ a db - b^2 da = 0

A:

Q: Complete the identity. sin(@)=

A: Trigonometry identity

Q: 5. Express the given function using unit step function: * [t f (t) = 0st<4 2 , t24 O A.) f (t) = t -...

A:

Q: 2dt (t – 3)vt2 – 6t +5

A:

Q: Let Ā = (2, 5, 3) and B = (-1,2, 1). Find Ã × B. %3D А. i + 53 – 9k В. -7 - 53+ 9k С. 117 - 3 -k D. ...

A:

Q: A resistor of 500 ohms and an uncharged 5 x 106 farad capacitor are connected to a 100-volt battery....

A:

Q: Evaluate S x(x + 2)2 dx by two methods: (a) Expand (x² + 2)? and multiply the result by x; (b) let u...

A: Given : integral of x(x² + 2)² dx

Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

A:

Q: BASIC PROPERTTES OF INTEGRATION IHTEGRATE THE FOllowING: 8. 2 t 22 tz I 32 +3z*+x° 9) + " () वg 3. 3...

A:

Q: 16 Find F(0) if F (t) = L-} O 4 O 2 O 16

A:

Q: y = sin(x): x ) is a solution of °y" +y = 0 %3D y"-4y = 0 y" +4y = 0 °y"-y = 0

A:

Q: I. The Derivatives: Perform long method. 1. v = Ja2 – y? 2. x = 3t2 - 2 Vt

A:

Q: |(cos? x – sin² x + 1) sin x cos x dx

A:

Q: e2x +2e* -dx e* +1 2.

A:

Q: 6) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

A:

Q: dx + 2xydy: こD (6x²+y²)

A: follow the procedure given below.

Q: |A particle starts at the origin with initial velocity i – j+ 3k. Its acceleration is ã(t) = 6t ỉ + ...

A: We have to find velocity and postion vector.

Q: x² – 3y + 3 = 0 2y + x + 2 = 0

A:

Q: BASIC PROPERTTES OF INTTE RATION IHTEGRATE THE FOllowING:

A:

Q: The differential equation y" – 4y = e2t has a particular solution of the form yp = uje + uze2t. dui ...

A:

Q: Apple pies are often served with ice cream on top. If the pie is too hc the ice cream will melt too ...

A: Using Newton's law of cooling to find temperature in terms of time and than find time at which apple...