11/14/21

Let 𝑥(𝑡) = 𝑡^3 − 4𝑡 2 + 𝑡 and 𝑦(𝑡) = 𝑡^2 − 6𝑡 + 3. Find followings at 𝑡 = 1.

a. x(1)b. y(1)c. dx/dt |t=1d. dy/dt |t=1e. dy/dx|t=1My answers:a. 1b. -2c. 3t^2-8t+1d. 2t-6e. 3t^2-18t+23/2(t-3)^2 Not sure if I did any of them correctly, to be frank. I forgot to consider t=1 for... more

Please help with math

1) Find f. f '''(x) = cos(x),    f(0) = 4,    f '(0) = 8,    f''(0) = 72) A particle is moving with the given data. Find the position of the particle, s(t).a(t) = t^2 − 7t + 4, s(0) = 0, s(1) =... more

11/13/21

Physics: Projectile Question.

For a projectile shot into the air, at any instant on the way up or down, 's' is thescalar value of the displacement: it is the distance the object is from the startingpoint. It is not the total... more

11/13/21

A toy rocket is launched from the top of a building 133 feet tall at an initial velocity of 203 feet per second. a) Give the function that describes the height of the rocket in terms of time t.

A toy rocket is launched from the top of a building 133 feet tall at an initial velocity of 203 feet per second. a) Give the function that describes the height of the rocket in terms of time t. b)... more

what is the circumference of a circle?

A circle with a circumference of 133.2 cm is centered at the vertex of an angle. The rays of the angle subtend an arc that is 19.24 cm long. 1/360th of the circumference of the circle is .37... more

11/12/21

Two masses collide inelastically.

Two masses collide inelastically. Before the collision mass 1 has a velocity of 14.7 m/s at 43.3o and mass 2 has a velocity of 13.7 m/s at 21.6o. Following the collision mass 1 has a velocity... more

11/11/21

Find f for the function.

f ''(x) = 4 − 6x − 60x3,    f(0) = 3,    f '(0) = 6

Particle Motion Problem

The position of a particle is given by the function: S(t)=t^3-6t^2+9t where t is in seconds, S(t) is in meters and 0 less than or equal to t less than or equal to 5. Find the times when particle is... more

11/11/21

I’m a senior in high school trying to graduate please help me

You and your friend spend a day selling candy bars to raise money for the school choir. You start with 100 candy bars and after 4 hours you have 20 candy bars left. Write an equation for this... more

11/11/21

Find the Inverse

Find the inverse of the function f(x)=2(3^(x-2))-1

11/10/21

related rates problem

A conical water tank with vertex down has a radius of 10 feet at the top and is 28 feet high. If water flows into the tank at a rate of 30 , how fast is the depth of the water increasing when the... more

What is the scalar multiple to make the matrices match?

What is the scalar multiple that will make the 2x1 matrices of [ i, 1] and [ -i, 1] match?

Tricky probability problem

Please help me to solve this one.Mark bought 5 yellow, 3 green, 2 blue, and 2 red notebooks. The next day he brought two of his 12 notebooks. IF he takes the third notebook from the remaining ones,... more

What is the area of an equilateral triangle with side length 6 inches?

For this question I got 9√3 inches. Would this be correct?

11/05/21

find an equation of the function

Find an equation of the function f that passes through (1,-3) and has a derivative given by f'(x)=12x^3(3x^4-2)^3

11/05/21

Solve sin x − cos x = 1 if 0 ≤ x ≤ 2π.

What is the minimum force required to lift the lid off of the container?

A cylindrical container is sealed by a circular lid. The pressure in the room surrounding the container is 1.0 X 105 N/m². The pressure inside the container is 0.3 x 105 N/m². The lid has radius... more

Do you know where I am going through

Identify at least six pairs of action-reaction force pairs in the following.1st a boy pulling something2nd a bowling ball hitting pins.3rd flying hot air balloon

11/01/21

Rational functions

I have been given the domain, equation of vertical asymptote, slant asymptote, x and y intercept and the coordinates of a hole, and I have to sketch a graph bases on the information given

CHEMISTRY!!!!!!!!!!!!!!!!!!!!!!!!!

why does when the greater the frequency of successful collisions between reactant particles happens the greater the reaction rate.

11/01/21

how do you make equation that represents the situation.

The cost y (in dollars) to rent a kayak is proportional to the number $x$x​ of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.a. Write an equation that represents the... more

11/01/21

Solving a word problem using a quadratic quadratic with rational root

The area of a rectangle is 27 yd2 and the length of the rectangle is 3 yd less than double the width find the dimensions of the rectangle

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