12/04/22

triangle midsegment

In the diagram below of triangle CDECDE, FF is the midpoint of \overline{CE}CE and GG is the midpoint of \overline{DE}DE . If FG=5x-2FG=5x−2, and CD=24+3xCD=24+3x, what is the measure... more

12/01/22

an angry bird is hurled upward from the ground with initial velocity of 75f/ts. the height (h) in feet of the bird at any given time (t) in seconds is h(t)=-16t^2+75t+4

a. What is the maximum height of the bird?b. When will the bird hit the ground hard?c.When is the bird 75 feet in the air?

12/01/22

A hamster running in a wheel of radius 14 cm spins the wheel one revolution in 10 seconds.

a) What is the angular velocity of the wheel? (in radians/sec) b) At what linear velocity is the hamster running? (in cm/sec)  

11/30/22

Plotting Points on the Rectangular Coordinate System

Find a solution to the equation 8x+5y=9. If necessary, enter your answers as decimals.

11/29/22

Use Fundamental Identities to Simplify each expression

Each expression simplifies to a constant, a single trigonometric or a power of a single trigonometric function. Use fundamental identities to simplify each... more

11/28/22

Find the indefinite integral

Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication sign between functions. For example, t * et..∫8etdt =

11/28/22

Calculus. Show work

Which of the following is an approximate equation of the line tangent to the graph of 𝑓(𝑥) = 𝑥4 + 2𝑥2 at the point where 𝑓′ (𝑥) = 1?

11/27/22

Calculus. Please show work

Let 𝑓 be the function given by 𝑓(𝑥) = 3𝑒2x and let 𝑔 be the function given by 𝑔(𝑥) = 6𝑥3. At what value of 𝑥 do the graphs of 𝑓 and 𝑔 have parallel tangent lines?

11/27/22

find angle theta that corresponds to the function

Use the unit circle, reflection, and symmetry to determine the angle θ that corresponds to the given function value in the given quadrant. If no such angle exists, write DNE. (As always, give exact... more

11/27/22

Calculus. Show work please

Consider the curve x2y+y2x=6 Find dy/dx in terms of x and y. Write the equation for the tangent line where x = 2 and y = 1. Find the coordinates of the point (x, y) where the curve has a horizontal... more

11/27/22

Use logarithmic differentiation to evaluate f'(x) where f(x) = (4x)^3x-1

Use logarithmic differentiation to evaluate f'(x) where f(x) = (4x)3x-1

11/26/22

Precalculus: rectangular form to polar form

The rectangular coordinates of a point are given. Find the polar coordinates for the point. (−√3, 1)

11/26/22

Suppose that the functions r and s are defined for all real numbers x as follows.

r(x)=5x2s(x)=x3Write the expressions for (r-s)(x) and (r+s)(x) and evaluate (r·s)(−1). (r-s)(x)= (r+s)(x)= (r·s)(-1)=

11/25/22

Subtracting vectors

If vector 1 has a magnitude of 3 units and a direction of 30 degrees below the negative x-axis, and vector 2 has a magnitude of 4 units and a direction of 80 degrees below the negative x-axis, what... more

11/24/22

In trigonometric functions, is horizontal translation affected by y-axis reflection?

f(x) = a( sin bx +c) +df(x) = -(sin(x-pi/2))b = 1, c = -pi/2horizontal translation is -c/|b| = -(-pi/2)/|1| = pi/4so,the horizontal translation is pi/4, is it to the right or to the left?I know... more

11/22/22

Precalculus: Find the direction angle of...

Find the direction angle of...a) v=I + sqrt(3)jb) v=-5i-5j

11/22/22

Precalculus: Find solution

a) x^5=-ib) x^4=sqrt(3) - i

11/21/22

compute arcsin(sin(-1))

Compute arcsin⁡(sin⁡(−1)). If the expression is undefined, enter DNE.(Note: Enter an exact answer and not a decimal approximation.) 

11/21/22

Completing the square (Rewriting functions)

Rewrite the functionf(x)=x2-4x+5By completing the square.

HELP ME PLS I AM HAVING TROUBLE WITH MY MATH QUIZ

An artifact originally had 16 grams of carbon-14 present. The decay model A=16e -0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of... more

Rotating a point around another using vectors. - method is wrong?

The question: On what coordinates will point B = (7,5) land if it is rotated around point A = (0,0) by 110 degrees?My workings out gave me the answer B will land on point (-7.09, 4.87). I got this... more

The count in a bacteria culture was 200 after 15 minutes and 1200 after 35 minutes. Assuming the count grows exponentially,

What was the initial size of the culture?   Find the doubling period.   Find the population after 80 minutes.   When will the population reach 13000

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