The table lists the amount of U. S

Slides:

Advertisements

Similar presentations

Local Linearization (Tangent Line at a point). When the derivative of a function y=f(x) at a point x=a exists, it guarantees the existence of the tangent.

Advertisements

What is y=L(x) ? The tangent line is considered as an approximation of the curve y=f(x)

1 times table 2 times table 3 times table 4 times table 5 times table

Multiplication by 2 Mental Mathematics Starters Activity 7a.

Choose an image START MORE DINOSAURS REVEAL ANSWER THE SUM WOULD BE WRITTEN LIKE THIS.

Graphs We often use graphs to show how two variables are related. All these examples come straight from your book.

Objective Students will be able to estimate sums and differences (3-5).

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Tables Learning Support

Suppose a sequence begins 2, 4, …………………. Would could the formula be?

Fraction Estimation Game

Use the Midpoint Rule to approximate the given integral with the specified value of n. Compare your result to the actual value and find the error in the.

Use the Table of Integrals to evaluate the integral

What is the average rate of change of the function f (x) = 8 x - 7 between x = 6 and x = 7? Select the correct answer:

Approximate the area of the shaded region under the graph of the given function by using the indicated rectangles. (The rectangles have equal width.) {image}

Evaluate the expression ( i) + ( i) and write the result in the form a + bi. Choose the answer from the following: i i i.

Choose the matrix in echelon form from the following:

Write the form of the partial fraction decomposition of the function

Express the equation {image} in exponential form

If {image} find the Riemann sum with n = 5 correct to 3 decimal places, taking the sample points to be midpoints

Which of the following graphs is the graph of the derivative of the function {image} . 1. {applet}

Find the linearization L(x, y) of the function at the given point

Use Pascal’s triangle to expand the expression (3 x - 2 y) 3

(4, 0) (0, 4) (2, 0) (-4, 0) (0, -4) (0, 2) None of these choices

Find the linearization L(x, y) of the function at the given point

Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a power. {image} Choose the correct answer from the following.

Given that, {image} {image} Evaluate the limit: {image} Choose the correct answer from the following: {image}

Use a table of values to estimate the value of the limit. {image}

determinant does not exist

Find 4 A + 2 B if {image} and {image} Select the correct answer.

Find all solutions of the polynomial equation by factoring and using the quadratic formula. x = 0 {image}

סדר דין פלילי – חקיקה ומהות ההליך הפלילי

Find an equation for the parabola, that has its vertex at the origin and directrix {image} Choose the correct answer from the following. y 2 = 2x y 2 =

Use the Midpoint Rule with n = 10 to approximate the integral

Consider the function {image} and find the value of {image} Choose the correct answer from the following:

For x = -1, determine whether f is continuous from the right, or from the left, or neither. {image}

Indicate all x- and y-intercepts on the graph of the function y = x Choose the correct answer from the following: x-intercept (4,0), y-intercept.

Find the inverse of the matrix

For x = 5, determine whether f is continuous from the right, or from the left, or neither. {image}

Metric to English Conversions

Let {image} Use substitution to determine which elements of S satisfy the inequality {image} Select the correct answer(s): {image}

Choose the best answer for each problem.

True or False: {image} is one-to-one function.

Find the Jacobian of the transformation. {image}

Graph the function, not by plotting points, but by starting with the graph of the standard functions {image} given in figure, and then applying the appropriate.

Function - when every x is paired to one y

Let A = {image} and B = {image} . Compare A and B.

Find the reference angle for the angle measuring {image}

Evaluate the limit: {image} Choose the correct answer from the following:

Perform the indicated operations and simplify: {image} Select the correct answer

Simplify the expression: {image} Select the correct answer.

June 2012 Living Environment Regents

Estimate the area from 0 to 5 under the graph of {image} using five approximating rectangles and right endpoints

Determine the graph of the given function. {image}

Solve the equation: 6 x - 2 = 7 x + 7 Select the correct answer.

Choose the differential equation corresponding to this direction field

Choose the equation which solution is graphed and satisfies the initial condition y ( 0 ) = 8. {applet} {image}

If {image} , then if {image} exists, to what value does it converge

Use the graph of f to find the following limit. {image} {applet}

You must show all steps of your working out.

3 times tables.

6 times tables.

For vectors {image} , find u + v. Select the correct answer:

Estimate the area from 0 to 5 under the graph of {image} using five approximating rectangles and right endpoints

Given that {image} {image} Evaluate the limit: {image} Choose the correct answer from the following:

Presentation transcript:

The table lists the amount of U. S The table lists the amount of U.S. cash per capita in circulation as of June 30 in the given year. Use a linear approximation to estimate the amount of cash per capita in circulation in the year 2000. t 1960 1970 1980 1990 C(t) $180 $264 $568 $1,058 Choose the correct answer from the following: $1,450 $1,606 $1,575 $1,552 $1,548 $1,554 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the linearization L(x) of f at a. {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

-1.69 < x < 0.09 0.31 < x < 2.09 -0.69 < x < 1.09 Determine the values of x for which the linear approximation {image} is accurate to within 0.1. -1.69 < x < 0.09 0.31 < x < 2.09 -0.69 < x < 1.09 -0.19 < x < 1.59 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50