Calculus question and answers for March 17, 2024
- Q 13 Use the power rule to find the derivative of f x x
- Q Use the power rule to find the derivative of f x x
- Q Find the point s on the graph to the right where the slope is equal to 6 11 The point s on the given graph at which the slope is...
- Q rt the following degree measure to radian measure 33 radians Type an integer or a decimal nearest hundredth
- Q Find the measure of each angle 5x 4 3x 6 Simplify your answers Type an integer or a fraction 5x 4 3x 6
- Q The rotation of the smaller wheel in the figure causes the larger wheel to rotate Through how many degrees will the larger wheel rotate if the smaller one rotates through...
- Q Find the area of the sector shown in the figure 5x 6 OU The area is Simplify your answer Type an exact answer in terms of Use integers or fractions...
- Q Directions The displacement in meters of a particle moving in a straight line is given by the following equation where t is measured in seconds 1 Find the velocity of...
- Q 90 horsepower outboard motor at full throttle will rotate its propeller at exactly 4500 revolutions per min Find the ngular speed of the propeller in radians per second 500 rev...
- Q A population of cattle is increasing at a rate of 600 80 t per year where t is measured in years By how much does the population increase between the...
- Q Use the formula to find the value of the missing variable 0 radians t 9 sec radians per sec Simplify your answer Use integers or fractions for any numbers in...
- Q Use the formula s rot to find the value of the missing variable T 4 radians per sec r 12 cm t 16 sec S cm Type an exact answer...
- Q Evaluate the indefinite integral S xl x 4 5x dx
- Q The tangent line to the graph of y x at the point x y has slope 3x Using this result find the slope of the curve at the point 3...
- Q 1 1 5 sec
- Q Use the Evaluation Theorem to decide if the definite integral exists and either evaluate the integral or enter DNE if it does not exist 57 Lot secx tan x dx
- Q Evaluate the indefinite integral du 6u4 I
- Q Let L be the line through points P and Q in the figure a Suppose P 4 2 and Q 8 5 Find the slope of L and the length...
- Q Evaluate the indefinite integral 7 dx
- Q Convert the radian measure to degrees 2 radian s
- Q Evaluate the definite integral 4 1 6 5x dx 0
- Q 5 15r Gr
- Q Find the point on the graph of y x where the curve has slope m 5 The point on y x at which the tangent line has slope 5 is...
- Q Here is a graph of f x x2 and the line tangent to f x at a f a The equation of the tangent line is y 2x 1 Find...
- Q Find the point s on the graph to the right where the slope is equal to 6 11 The point s on the given graph at which the slope is...
- Q Convert the following radian measure to degree measure 4x 4x 3 11
- Q Convert the following degree measure to radian measure 87 87 radians Type an integer or a decimal Round to the nearest hundredth
- Q Convert the following degree measure to radians 168 30 168 30 radians Round to the nearest thousandth as nee
- Q Convert the following degree measure to radian measure 65 15 65 15 radians Type an integer or a decimal Round to the nearest thousandth as needed
- Q Convert the following degree measure to radians 270 270 radians Simplify your answer Type an exact answer using as needed
- Q Find the complementary and supplementary angles to 12 T 12 12 Simplify your answer Type a fraction with in the numerator The complementary angle to 5x The supplementary angle to...
- Q Sketch the angle in standard position and draw an arrow representing the correct amount of rotation Find the measure of two other angles one positive and one negative that are...
- Q Convert the following angle to degrees minutes and seconds form a 83 7022 The answer is 0 Simplify your answers Round to the nearest second as needed
- Q Perform the calculation 69 12 52 42 69 12 52 42 0 Simplify your answers Type an integer or a fra
- Q Convert the following angle to decimal degree notation 31 9 31 9 Round to two decimal places as needed
- Q Find the slope of the line tangent to the curve y x at the point The slope is Tyne an integer or a simplified fraction 9 81 4 16 and...
- Q Write the equation of the tangent line to the graph of y x at the point x 0 9 Tyne an equation
- Q Estimate the slope of the following curve at the designated point 10 8 7 6 5 4 1 0 1 2 3 A 5 6 7 8 9 X Q...
- Q 1 A tank holds 1000 gallons of water which drains from the bottom of the tank in half an hour The values in the table show the volume V of...
- Q Directions If a rock is thrown upward with a velocity of 30 m s it has a height in meters after t seconds given by h t 30t 4 9t...
- Q Directions Consider the following function where A and B are constants Find these constants A and Part 1 Difference Quotient If x 1 then the difference quotient can be simplified...
- Q Directions Consider the following function f x at a 3 Part 1 Difference Quotient A If h0 then the difference quotient can be simplified into the form f 3 h...
- Q Directions Consider the following function f x at a 8 Part 1 Difference Quotient If h 0 then the difference quotient can be simplified into the form f 8 h...
- Q Directions Use the graph of function f x given below to estimate the following values of its derivative J x Note that a portion of the tangent line has been...
- Q Find an equation of the tangent line to the given curve at the point 1 0 Tangent Line y y x 1 x x 1
- Q Use the graph of f x given below to evaluate the following limits at infinity 1 lim f x 2 x 2 lim f x If necessary use inf and...
- Q Calculate the derivative of the function 71 H u u V u v 1
- Q Part 1 Difference Quotient If h 0 then the difference quotient can be simplified into the form That is f x f x h f x h Note It s...
- Q Determine the area of the shaded region in the figure What is the area of the region in terms of x 6 OA x 15 dx 15 10 OC S...
- Q Directions Consider the following function f x f x 3x 10 Part 1 Difference Quotient If h 0 then the difference quotient can be simplified into the form A Bh...
- Q Find the intervals on which f is increasing and the intervals on which it is decreasing f x cos x on Select the correct choice and if necessary fill in...
- Q Determine the area of the shaded region bounded by y x 4x and y x 2x 30 20 10
- Q If a 1 2 6 6 and b 3 2 7 find a b Your Answer Answer Which statement best describes the result of the cross product a It gives...
- Q region in two ways a Using integration with respect to x b Using geometry OC 2 6 x dx 0 OD 6 S 0 6 x x dx b Using...
- Q or wages less than the maximum taxable wage base Social Security contributions including those for Medicare by employees are 7 65 of the employee s wages T a Find an...
- Q Find the area of the region in two ways a Using integration with respect to x b Using geometry a Using integration with respect to x what would be the...
- Q Given the equation y 8x 9 answer the following questions www a If x increases by 1 unit what is the corresponding change in y units b If x decreases...
- Q Find the slope of the line shown in the figure If an answer is undefined enter UNDEFINED 3 2 1 y 3 26 1 25 35 L 1 X 2...
- Q Make a sketch to show a case in which the area bounded by two curves is most easily found by integrating with respect to y Which of the following is...
- Q Consider an object moving along a line with the following velocity and initial position v t 16 1 on 0 5 s 0 3 Determine the position function for 120...
- Q a Pq 12 3 Ob Pq 12 1 PO d P q 2 3 10 101 102 101 101 If a 25 cm b 24 cm and the angle between...
- Q Hiple model for the flow of air in and out of the lungs of a certain mammal is given by the following equation where V t measured in liters is...
- Q Consider the graph shown in the figure which gives the velocity of an object moving along a line Assume time is measured in hours and distance is measured in miles...
- Q Consider the graph shown in the figure which gives the velocity of an object moving along a line Assume time is measured in hours and distance is measured in miles...
- Q A firework is launched into the air from ground level with an initial velocity of 128 ft s If acceleration due to gravity is 16 ft s2 what is the...
- Q Compute the following limits Algebraically 1 1 2 x x 2 X 2 a lim 4 x h 4 x 2 c lim wallot 2 0 0 0csc0 b lim...
- Q 2 Below is a graph of a derivative g r Assume this is the entire graph of g z Use the graph to answer the following questions about the original...
- Q A company makes two types of biscuits Jumbo and Regular The oven can cook at most 200 biscuits per day Each jumbo biscuit requires 2 oz of flour each regular...
- Q Tutorial Exercise Use the graph to determine the x values at which fis discontinuous For each x value determine whether f is continuous from the right from the left or...
- Q Math 124 Worksheet for Week 3 Graphs of f x and f x In this worksheet you ll practice getting information about a derivative from the graph of a function...
- Q 3 Six graphs of functions are below along with six graphs of derivatives Matell of each function with the graph of its derivative Original Functions X 4 A D 34...
- Q Find the x value at which fis discontinuous and determine whether fis continuous from the right or from the left or neither ifx so 6 x 8 x x 8...
- Q To find the numbers for which f is discontinuous we look for x values for which the function is not defined or the left and right limits do not match...
- Q Calculate these limits If the limit is o or oo write infinity or infinity If the limit does not exist write DNE Hint Remember the first thing you check when...
- Q We have determined that lim f x 16c 12 and X 4 We can use these to solve for c lim f x x 4 16c 12 C C lim...
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