Eric C.

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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Calculus

03/23/23

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 69.5 and a standard deviation of 26.45.

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 69.5 and a standard deviation of 26.45.What percentage of... more

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Algebra 2 Precalculus

03/14/23

I don't know how to do 182:

180.A large circular saw blade with a 1-foot radius is mounted so that exactly half of it shows above the table. It is spinning slowly, at one degree per second counterclockwise. One tooth of the... more

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Calculus

03/09/23

Find the exact volume of a solid

Find the exact volume of a solid whose base is bounded by the curves y=e^x, y=0, x=-1 and x-1 and that has rectangular cross-sections perpendicular to the x-axis, using rectangles of twice the... more

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Calculus

02/22/23

Find the local linear approximation of the function

Find the local linear approximation of the functionf(x) = sqrt(7+x) at x0 = 2and use it to approximate: sqrt(8.9) and sqrt(8.1)a)f(x) = sqrt(7+x) = ___b) sqrt(8.9) = ___c) sqrt(9.1) = ___For parts... more

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Algebra 2

02/21/23

Percent mixture problem

A chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 70% pure antifreeze. In order to obtain 50 gallons of a mixture that... more

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Calculus

02/02/23

Average velocity

An object with zero initial velocity accelerates at a constant rate of 7 m/s2. Find its average velocity during the first 3 seconds.(Use symbolic notation and fractions where needed.)average velocity: more

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Math Calculus Precalculus

01/24/23

Sinusoidal Functions

The temperature of London fluctuates by approximately 20*c throughout the course of a year. The average temperature of London is approximately 12*c. The highest temperature occurs halfway through... more

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Calculus

01/24/23

Calculus 2 Need help

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about the y-axis. y=72 - x2, y =7x2, x = 0 for x ≥ 0 The volume of the... more

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Precalculus

01/11/23

A truck with 46-in.-diameter wheels is traveling at 50 mi/h. Find the angular speed of the wheels in radians

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Calculus

12/15/22

Use logarithmic differentiation

Determine q′(x) if q(x)=(3x3+4x)cosx. Enter an exact answer in terms of a natural logarithm.

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Math Precalculus

12/15/22

What is h'(2) if h(x) = g(2+f(x^2-1))

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Calculus Precalculus Derivative

04/29/22

Rate of Change for gas pressure

I've watched several videos and looked at similar problems and plugged in my numbers, but I still get the wrong answer. I'm not sure where I am going wrong. The gas law for an ideal gas at absolute... more

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Math Algebra 1 Algebra 2

04/18/22

I need help on this math question please.

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Calculus Derivatives Logarithmic Differentiation

04/18/22

Help! Would this be the correct answer to the following logarithmic differentiation problem?

Use logarithmic differentiation to find the derivative of the function y= (2x+5)3(5x2-2x)4 ——————— √2x+5 the answer that I got was dy/dx=... more

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Math Calculus Mathematics

03/23/22

Calculus Related Rates Question

Water is leaking out of an inverted conical tank at a rate of 8500 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height of 12 ... more

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Calculus Tangent Line Slope Of A Curve

03/21/22

Slope of a curve question

What are two examples of a function in which the line y=2x+1 is a tangent at some point on the curve.

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Calculus

03/15/22

Bacteria in a Colony

There are initially 1,000 bacteria in a colony. The rate at which the number of bacteria in the colony changes is given by dN/dt = kN where k is a constant. If the number of bacteria doubles every... more

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Precalculus

03/02/22

12.2 Precalc Homework

I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a... more

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Calculus

02/25/22

I need help with this question

A baseball diamond has the shape of a square with sides 90 feet long (see figure). A player running from second base to third base at a speed of 30 feet per second is 21feet from third base. At... more

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Calculus Differential Equations

02/24/22

Use the differential to approximate the expression. Then use a calculator to approximate the quantity, and give the absolute value of the difference in the two results to four decimal places.

Sqrt61Use the differential to approximate the expression. Then use a calculator to approximate the quantity, and give the absolute value of the difference in the two results to four decimal places.

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Calculus

02/11/22

A patrol car is parked 70 feet from a long warehouse (see figure).

The revolving light on top of the car turns at a rate of 36 revolutions per minute. How fast is the light beam moving (in ft/sec) along the wall when the beam makes angles of 𝜃 = 30°, 𝜃 = 60°... more

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Calculus

02/09/22

Answer the following question.

At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16 cubic feet per minute. The diameter of the base of the cone is approximately three times the... more

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Trigonometry

02/09/22

Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t).

A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 4 minutes, and at time you are at the 9 o'clock position and descending. Let denote... more

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Which of the following statements are true?

Related rates problem

Scores on a 100-point final exam administered to all applied calculus classes at a large university are normally distributed with a mean of 69.5 and a standard deviation of 26.45.