2,195 Answered Questions for the topic Pre Calculus

Pre Calculus Precalculus

07/28/21

Find the point on parabola y= -x^2 + 3x + 4 where the slope of the tangent line is 5.
is this right? i goty = -x^2 + 3x + 4y' = -2x + 3 = 5y' = -2(-1)+ 3 = 5y' = 2 + 3 = 5y' = 5x = -1y = -(1)2+3(-1)+4y = -1 - 3 + 4y = 0therefore (-1, 0) is the point on the parabola
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Pre Calculus Precalculus

07/28/21

find derivative of 12 = y^2 + x^2
how do i find the first derivative of 12 = y2 + x2?which rule do i apply?
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Pre Calculus Precalculus

07/28/21

is this correct? evaluate for second derivative
i got am i right?
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Pre Calculus

07/28/21

Polynomial Function

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2 and x=0, and a root of multiplicity 1 at x=−3 Find a possible formula for P(x).P(x)=
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Pre Calculus Calculus Precalculus

07/27/21

find the kinetic energy of the bar
A 30 cm long metal bar with mass 12 grams is attached to a pivot with a massless string 70 cm long. Find the kinetic energy of the bar in ergs when it is rotated at a rate of 3 revolutions per second. more
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Pre Calculus Calculus Precalculus

07/27/21

force in newtons on the window
The zoo is building a new polar bear exhibit, and wants to put a semi-circular window in the concrete wall of the swimming tank. (Note: picture is not to scale)If the semi-circle has diameter 70... more
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Pre Calculus Calculus Precalculus

07/27/21

find the kinetic energy in ergs
A point-mass of 15 grams at the end of a massless 20 centimeter long string is rotated at a rate of 3 revolutions per second. Find the kinetic energy (ergs) of the point mass.
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Pre Calculus Calculus Precalculus

07/27/21

find the force in newtons
A tank full of water is designed with ends in the shape of an isosceles triangle with height 13 meters and width, at the top, of 14 meters. Find the hydrostatic force in newtons on one end of the... more
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Pre Calculus Calculus Precalculus

07/27/21

how much work in joules
A circular swimming pool has a diameter of 20 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The... more
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Pre Calculus Calculus Precalculus

07/27/21

find the answer in foot-pounds
A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^10 from x=−1 to x=1 . The trough is full of water. Find the... more
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Pre Calculus

07/26/21

If tan ( θ ) = 24 10 , 0 ≤ θ ≤ π 2 , then
If tan(θ)=2410, 0≤θ≤π2, then
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Pre Calculus Calculus Precalculus

07/26/21

important please evaluate the integral
evaluate the integral: -16 / x^2(sqrt(x^2+100))the trig substitution for this is: 10tan(theta)1. Which integral do you obtain after substituting for x and simplifying?2. What is the value of the... more
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Pre Calculus Calculus Precalculus

07/24/21

evaluate the integral below
evaluate the integral: (sqrt(49 - x^2)) / (12x^2)the trig substitution for this is: 7sin(theta)1. Which integral do you obtain after substituting for x and simplifying?2. What is the value of the... more
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Pre Calculus Math Calculus Geometry

07/24/21

Let α and β be two acute angles of a right triangle in a unit circle. (Thus α and β are complementary angles.)
 Under what conditions will sin⁡(α)=cos⁡(α)
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Pre Calculus Math Geometry Precalculus

07/24/21

Let α and β be two acute angles of a right triangle in a unit circle. (Thus α and β are complementary angles.)
a. Show that sin⁡(α)=cos⁡(β) and sin⁡(β)=cos⁡(α)b. Under what conditions will sin⁡(α)=cos⁡(α)
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Pre Calculus Math Calculus Precalculus

07/24/21

PLSSS HELPPP. The following equation is often referred to Euler's formula. e^πi+1=0
a. Identify three important mathematical constants in the formula. Explain why each constant is important.b. Use what you know about complex numbers to show that this equation is true. In other... more
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Pre Calculus Math Precalculus Algebra

07/23/21

Cassandra attempts to do the yo-yo trick 'Around the World
She throws the yo-yo so that it sweeps out a vertical circle whose radius is the length of the yo-yo string. If the yo-yo string is 27 inches long and the distance the yo-yo travels in an arc is... more
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Pre Calculus

07/21/21

Rewrite equations

Rewrite f(x) = 5csc^2 (x) + 6tan^2 (x) in terms of sin(x) . NOTE: Expressions such as sin^2 (x) must be entered as sin (x) ^ 2 or (sin(x)) ^ 2
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Pre Calculus Math Trigonometry

07/21/21

An angle 𝛼 in standard position has a terminal side which passes through the point (−5,5). What is sin( 𝛼)
I got to five square root of two but I am not sure how to proceed after that.
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Pre Calculus Calculus Precalculus

07/21/21

Find the radius of convergence R of the series.
Please find the "radius of convergence" for the following function: 6 / (1 + 49x^2) represented by the following power series:
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07/20/21

Calculus Question. Please anwser!
Many people argue that there should be four types of conics instead of three. How many types of conics do you think there should be? Support your claim. Refer to the diagram below to help you.
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07/20/21

Calculus Question. Please help!
 Write the equation of the cosine function that models the values in the following table.x 0 5 10 15 20 25 30--------------------------------------------------------y -5 -8 -11... more
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07/20/21

Please help! Calculus question!
Sounds are how we perceive pressure waves in the air. The note F-sharp, more than 2 octaves above the note 'middle C', is a sound wave with an ordinary frequency* f = 1584 Hertz or cycles/sec. If... more
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07/20/21

Pre-Calculus Question. Please Help!
 Kate has 12 different types of flowers but she wants to make a floral arrangement with only 9 of them. How many possible flower arrangements are there?
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07/20/21

Calculus Question. Please Help!
Given the following system of equations,a) build an augmented matrix to represent the system of equations,b) show the elementary row operations that lead to a reduced row form, andc) find the... more
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