02/14/24

Let α and β be fist quadrant angles with cos(α)= sqrt7/4 and sin(β)= sqrt10/6 Find tan(α-β)
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01/17/24

Trig Identities
ProveSin^(2x)tanx=sin(2x)-sin(2x)cos(2x)
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01/16/24

What is the speed of each seat? Answer in units of m/s.
An amusement park ride consists of a rotating circular platform 9.07 m in diameter from which 10 kg seats are suspended at the end of 1.22 m massless chains. When the system rotates, the chains... more
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01/11/24

Write an equation of the line passing through point P that is perpendicular to the given line. Graph the equations of the lines to check that they are perpendicular.
The equation is P(-4,1), y+3 = -4(x+3)
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01/11/24

Precalculus 12 grade
Solve for the exact value of xlog(5x-11)=log(9x+6)
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01/09/24

Factoring trinomials with a leading coefficient of 1

5W^4-35W^3+50W^2 
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12/30/23

if sin θ = 2/3 and cos θ > 0, then find tan θ.
*the '/' in '2/3', is indicating that it is a fraction, just to be a bit more specific*
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12/19/23

on the closed interval [0, 2pi], find the max value of the function f(x) = 4 sin x - 3 cos x
a. 3 b. 4 c. 24/5d. 5 e. none of theseI went about solving this by: finding f'(x): I got 4 cos (x) + 3 sin (x) then setting f'(x) to zero: 0 = 4 cos (x) + 3 sin (x) simplifying the equation to:... more
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12/19/23

suppose lim x-> 0 [g(x)-g(0)]/x = 1 it follows that ...
a.) g is not defined at x = 0 b.) g is not continuous at x = 0 c.) The limit of g(x) as x approaches 0 equals 1 d.) 𝑔 ′ (0) = 1 e.) 𝑔 ′ (1) = 0I'm not sure which answer is correct, i'm tied between... more
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12/19/23

Find the area bounded by y= (x-12)/ (x^2 -4x -32), x=5, x=6 and y=0. For reference, previous answers to similar questions were very small, between 1 and 2.

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12/19/23

Which of the following statements are true?
𝑓(𝑥) = { 𝑥^2 − 1, 𝑥 ≠ 1 4, 𝑥 = 1which of the following statements are/is true?a) the limit as x -> 1 existsb) f(1) existsc) f is continuous at x = 1I said that a) and b)... more
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12/18/23

The velocity of a particle moving along a line is a function of time given by v(t) = 72 / (t^2 + 12t + 35). Find the distance that the particle has traveled after t=8 seconds if it started at t=0 secs
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12/08/23

Linear momentum question HELP ASAP
A 10-g bullet moving directly upward at 500 m/s hits and passes through the centre of mass of a 4-kg block initially at rest, as shown in the figure. The bullet emerges from the block moving... more
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12/07/23

Angular momentum question HELP ASAP
A bullet of mass 200 g is shot with 𝑣 = 100 𝑚 𝑠 toward a block of mass 2 kg that is placed on a frictionless table. The block is connected to rod of negligible mass and length 2 m, which is pinned... more
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12/06/23

Physics-Wood block in water
A 10cm×10cm×10cm wood block with a density of 680 kg/m3 floats in water. What is the distance from the top of the block to the water if the water is fresh? If it's seawater? Suppose that ρ=1030 kg/m3 more
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11/17/23

Lines AC and BD intersect at point O. If m∠AOD = (10x − 7)° and m∠BOC = (7x + 11)°, what is m∠BOC?
Lines AC and BD intersect at point O.If m∠AOD = (10x − 7)° and m∠BOC = (7x + 11)°, what is m∠BOC? 6°  53°  89°  106°
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11/15/23

ICA7 - This problem has five parts. I will state the questions to each of these five parts and any additional info in "Description" below.
A 1.0 kg box is launched from rest by a compressed horizontal spring. The spring has a constant k = 500.0 N/m and is compressed by 30.0 cm. The block slides on a track down a hill and comes to rest... more
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11/14/23

Heat Transfer│Please Help!
49 g of an unknown metal is heated to a temperature of 150.0 C. A calorimeter is filled with 120.0 g of water at an initial temperature of 20.0 C. The specific heat capacity of water is 4.184... more
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11/14/23

The volume of a rectangular box is obtained by multiplying its length times its width times its height (V = lwh). If the length is 5x, the width is 5y, and the volume is 125x3y3, what is its height?
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11/14/23

Q7 - What is the force constant, k, of the spring in N/m?
A 4.8*105 kg locomotive is brought to a halt from a speed of 0.75 m/s in 0.45 m by a large spring bumper at the end of its track.
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11/08/23

Answer the questions

f(x) = e(^-3.5x^2)f) Use the interval notation to indicate where f(x) is concave up Concave up :g) use interval notation to indicate where f(x) is concave down concave down:List the x values of all... more
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11/02/23

PHYSICS-PULLEY and ANGLE PROBLEM (have answers need help understanding)
A pulley has an initial angular speed of 2.50 rad/s and a constant angular acceleration of 1.40 rad/s^2. Through what angle does the pulley turn in 7.00 s? (answer: 51.8 rad)
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10/28/23

Physics torque problem (I have the answer but I do not understand how they got there, please help!)
A 220 g , 25-cm-diameter plastic disk is spun on an axle through its center by an electric motor. What torque must the motor supply to take the disk from 0 to 1500 rpm in 4.5 s? (The answer is... more
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10/27/23

i need help for this question.

Find the domain of the function. (Enter your answer using interval notation.)k(x) = x + 5x − 7
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10/26/23

Monument & Energy│Please Help!
A 1000 kg car is moving at 8 m/s when it crashes into a pole and comes to a stop. What is the impulse experienced by the crash? Remember that impulse is defined to be the change in momentum of an... more
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