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$Suppose that light entered one side of a square water droplet of refractive index 1 33 at an inciden$

Let Is differentiable at 1 Sketch the graphs of and

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Let Is differentiable at 1 Sketch the graphs of and

Suppose that light entered one side of a square water droplet of refractive index 1 33 at an inciden

Draw a diagram to shoe that there are two tangent lines to the parabola that pass through the point

Find equations of both lines through the point 2, 3 that are tangent to the parabola b Show that th

Use the definition of a derivative to show that if then This proves the Power Rule for the case

Find a second degree polynomial & P & such that and

At what numbers is the following function differentiable Give a formula for and sketch the graphs of

Why is violet light refracted more than red light a The violet light travels a shorter distance in t

Find a parabola with equation that has slope 4 at slope 8 at and passes through the point 2, 15

Find the th derivative of each function by calculating the first few derivatives and observing the p

Which choice is closest to the minimum angle of incidence of red light against the back wall of the

Find a cubic function whose graph has horizontal tangent at the points 2, 6 and 2, 0

The equation is called a differential equation because it involves an unknown function and its deriv

Raindrops reflect different colors of light at different angles Why do we see the parts of the rain

Repeat the previous problem, only for the violet light

Why do you see rainbows only when you are between the Sun and the location of the rainbow a The sunl

For what values of is the function differentiable Find a formula for b Sketch the graph of and

Explain with a ray diagram how a a concave mirror and b a convex mirror produce images of objects M

Evaluate lim xto1 frac x1000 1x 1

Test an idea Describe an experiment to test the mirror equation What are you going to measure What

You are 1 8 m tall Where should you place the top of a mirror on the wall so you can see the top of

Because of the greenhouse effect, Earth’s average surface temperature is 288 K instead of 255 K Bec

A tangent line is drawn to the hyperbola at a point a Show that the midpoint of the line segment cut

For what values of and is the line tangent to the parabola when

What will the increasing concentration of greenhouse gases do a Increase the reflection rate of sunl

Find the values of and that make differentiable everywhere

What is the value of such that the line is tangent to the parabola

If how many lines through the point 0, c are normal lines to the parabola What if

Test an idea Describe an experiment to test the idea that a convex mirror never produces a real imag

Use geometry to prove that the virtual image of an object in a plane mirror is at exactly the same d

Describe in detail an experiment to find the image of a candle produced in a curved mirror Draw pic

You need to teach your friend how to draw rays to locate the images of objects produced by a plane m

The Sun irradiates Earth’s outer atmosphere at a rate that is closest to which of the following a b

Find the value of such that the line is tangent to the curve $ y = c sqrt{x}

Where is the function differentiable Give a formula for and sketch the graph of and

Find the parabola with equation whose tangent line at 1, 1 has equation

Test an idea Describe an experiment that you can conduct to test that the image produced by a plane

Two people are standing in front of a plane mirror Each of them claims that she sees her own image

What is the smallest size plane mirror a 190 cm tall person should buy to see himself if he mounts t

The average Earth surface temperature without its atmosphere would be 255 K Why a At that temperatu

The graph of any quadratic function is a parabola Prove that the average of the slopes of the slope

Place a pencil in front of a plane mirror so that it is not parallel to the mirror Draw an image th

Draw a diagram showing two perpendicular lines that intersect on the y axis and are both tangent to

Suppose the curve has a tangent line when with equation and tangent line when with equation Find the

Why is there essentially zero greenhouse effect on the Moon a There is no photosynthesis on the Moon

Because of the increased temperature of Earth’s surface 288 K compared to 255 K due to the greenhous

Sketch the parabolas y = x^2 2x + 2 $ Do you think there is a line that is tangent to both curves

differentiate the function fx 52x 23

Find an equation of the normal line to the curve that is parallel to the line

Where does the normal line to the parabola at the point 1, 0 intersect the parabola a second time I

Find an equation of the tangent line to the curve that is parallel to the line

Find equation of both lines that are tangent to the curve and are parallel to the line

At what point on the curve is the tangent line parallel to the line Illustrate with a sketch

Differentiate the function 8

Find an equation of the tangent line to the curve at the given point 2

Differentiate the function 9

Differentiate the function 5

Differentiate the function 11

Find an equation of the tangent line to the curve at the given point 3

Differentiate the function 12

Differentiate the function 4

Differentiate the function 6

Differentiate the function 7

Differentiate the function 3

Find an equation of the tangent line to the curve at the given point

Find an equation of the tangent line to the curve at the given point 4

Differentiate the function 10

The equation of motion of a particle is where is in meters and is in seconds Find a the velocity an

You have a candle and a large piece of paper with a triangular hole slightly larger than the candle

You place a point like source of light at the bottom of a container filled with vegetable oil of ref

Fidn an equation of the tangent line to the curve at the given point Illustrate by graphing the cur

The equation of motion of a particle is, , where is in meters and is in seconds a Find the velocity

A scuba diver stands at the bottom of a lake that is 12 m deep What is the distance to the closest

Find the first and second derivatives of the function Check to see that your answers are reasonable

Graph the function in the viewing rectangle 1,4 by 8,8 b Using the graph in part a to estimate sl

Imagine that while in Rome you are admiring the famous Fontana dei Quattro Fiumi, or the Fountain of

Find the first and second derivatives of the function 2