Calculus 1 Prelim to Midterm PDF

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Calculus 1 Prelim to Midterm! Quiz 1 Sketch the lines x=1, x=2, and x=3 tangent to the curve given in figure 7. Estimate the slope of each of the tangent lines you drew. (2 answers) -The slope of the tangent line at x=2 is 0. -The slope of the tangent lines at x=1 is 1 and at x=3 is -The slope of a ...

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Calculus 1 Prelim to Midterm! Quiz 1 Sketch the lines x=1, x=2, and x=3 tangent to the curve given in figure 7. Estimate the slope of each of the tangent lines you drew. (2 answers) -The slope of the tangent line at x=2 is 0. -The slope of the tangent lines at x=1 is 1 and at x=3 is -1

The slope of a vertical line is -undefined

The slope of the tangent line is called the -Derivative

The slope of a horizontal line is 0

The process of taking the limit of a sum of little quantities is called -Integration

The 2 divisions of Calculus are: -Integral -Differential

If a tangent line is inclined 45 degrees, then what is the slope the tangent line? 1

Calculus was developed by Leibniz and -Newton

The following problems could be solved by differential calculus: (2 answers) - largest or smallest volume of a solid - rate or speed

Quiz 2! Find the equation of the line passing through (-2,3) and perpendicular to the line 4x=9-2y. Use the general equation of the line for your final answer.

Find the slope of the line which is tangent to the circle with center C(3,1) at the point P(8,13).

Find the length and midpoint of the interval from x=9 to x=-2. (use decimal values for fractional answer)

Find the equation of the line which goes through the point (3,10) and is parallel to the line 7x-y=1.

Find the slope of the line passing through the points (3,-4) and (-6,9). Use decimal value for your final answer.

Find the slope and midpoint of the line segment from P(2,-3) to Q(2+n,-3+5n).

Find the line which goes through the point (2,-5) and is perpendicular to the line 3y-7x=2. (write the numerical coefficient of each term to complete the required equation)

Find an equation describing all points P(x,y) equidistant from Q(-3,4) and R(1,-3). (use the general equation of a line - input the numerical coefficient of each term of the equation below)

Find the equation of a circle with radius=6 and center C(2,-5). (write the required exponent after the ^ symbol; write the numerical coefficient of each term to complete the required equation)

Quiz 3 Refer to the figure. Which of the following represents the graph drawn in red?

An enrollment slip indicates a specific down payment based from the number of units enrolled by a student as follows: for number of units from 1 to 9, down payment is Php 5000; for number of units from 10 to 15, down payment is Php 10,000; and a down payment of Php 15,000 for units from 16 to 21. Which of the multiline functions define E(d), the down payment due on specific number of units enrolled. Unit is of integer type.

Consider the equation below: After evaluating g(-4), g(-1) and g(3), choose which graph represents the given conditions.

The figure shows the distance of a car from a measuring position located on the edge of a straight road. (a) What was the average velocity of the car from t=10 to t=30 seconds? (b) What was the average velocity of the car from t=20 to t=25 seconds?

For f(x) = 3x-2 and g(x) = x2+1, find the composite function defined by f o g(x) and g o f(x).

Note: For exponential answer, express it like x^3 for x cubed. Use lowercase letters, and do not put spaces in your answer. Answer: f o g(x) = 3x^2+1 g o f(x) = 9x^2-12x+5

A state has just adopted the following state income tax system: no tax on the first $10,000 earned, 1% of the next $10,000 earned, 2% of the next $20,000 earned, and 3% of all additional earnings. Write a multiline function for T(x), the state income tax due on earnings of x dollars.

The figure shows the temperature during a day in a place. How fast is the temperature changing from 1:00 P.M. to 7:00 P.M.? Round-off your answer to 2 decimal places.

From the figure shown, A(x) is defined to be the area bounded by the x and y axes, the horizontal line y=3 and the vertical line at x. For example A(4)=12 is the area of the 4 by 3 rectangle. (a) Evaluate A(2.5) (b) Evaluate A(4) - A(1)

Quiz 4 Let f(x)=-1-x-2x2, evaluate f(x+h)−f(x)h Factor out the negative sign for the final answer, if any.

Let f(x) = -x4-x-1, evaluate f(-1) and -2f(1).

Let f(x) = 2-x2, evaluate (a) f(x+1) and (b) f(x)+f(1).

The slope of the line through (5,15) and (x+8, x2-2x) is

Which graph represents the function

Given g(t) = t+5t−1, evaluate: (a) g(5) and (b) g(2s - 5) a) 5/2 b) s/s-3 Which graph corresponds to f(x)=x−−√?

From the figure shown, find the values of f(2), f(-1) and f(0).

If a and b are real numbers, then (a+b)2 = a2+b2. -False

If f(x) and g(x) are linear functions, the f(x) + g(x) is a linear function. -False

Let f(x) = 1-(x-1)2 evaluate (a)f(2)f(3) and (b)f(23) a) 0 b) 8/9

Let A = {1,2,3,4,5}, B = {0,2,4,6}, and C = {-2,-1,0,1,2,3}. Which of the values of x will satisfy each statement? = x is in A or x is in C

From the graph shown, find: a. f(-1) b. f(0) c. 3f(2) d. the value of x that corresponds to f(x)=0

Let f(x)=1-(x-3)2, evaluate: (a) f(x+3), (b) f(3-x), and (c) f(2x+1).

From the graph shown, find the values of f(-3), f(-1), f(0), and f(1).

Which of the following is the contrapositive for the statement: If your car is properly tuned, it will get at least 24 miles per gallon. -If your car will not get at least 24 miles per gallon, then it is not properly tuned

Find the slope of the line through (-5,3) and (x+1, x-2). x-5/x+6

Find the slope of the line through (-3-1) and (x+3, y+1). y+2/x+6 (wrong) y/x(wrong) x-5/x+6 (try)

Given the function f(x)=3x-4, evaluate: (a) f(x-2), (b) f(x)-f(2), (c) f(1)/f(3), and (d) f(1/3). Use fraction as final answer, if any. a) 3x-10 b) 3x-6 c) -1/5 d) -3

Find the slope of the line through (0,0) and (x-1, x2-1). Answer: m = x+1

Let f(x)=1-(x-3)2, evaluate: (a) f(x+3), (b) f(3-x), and (c) f(2x+1).

Evaluate f(3), g(-1), and h(4). f(3) = 1 g(-1) = -2 h(4) = 1

Which of the following will make the statement x2+3 > 1 true? x is greater than or equal to -1...