Vector Calculus Questions and Answers

Calculus
Vector Calculustree diagram to find the number of ways 3 letters can be chosen from the set P Q R if order is repetition is allowed no repeats are allowed ind the number of combinations of 3 elements taken 3 at a time Does this answer differ from the 5 repetition is allowed how many ways can 3 letters be chosen from the set P Q R if order is imp orrect formula below and if necessary fill in the answer boxes to complete your choice the terms of your expression in the same order as they appear in the original expression 3C3 M 3P
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Calculus
Vector CalculusPlease indicate whether this proportion is true or false 12 144 8 96 The proportion is True False
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Calculus
Vector CalculusWrite the given ratio in the following word statement Please include the units Howard walks 5 km every 2 days km days
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Calculus
Vector CalculusSiven the graphs of f x and g x below find the composition of functions f g 0 Do not type f g 0 in your answer Provide your answer below 4 2 1 4 3 0 1 f x 01 g x
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Calculus
Vector Calculusmutations to solve udent activity club at the college has 22 members In how many different ways can the president a treasurer and a secretary ute values into the formula for Pr
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Calculus
Vector Calculuse multiplication principle to solve o manufacturer produces 8 models each available ferent colors with 4 different upholstery fabrics nterior colors How many varieties of car are le O Points 0 of The manufact varieties of car
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Calculus
Vector Calculusind the expected value for the random variable whose robability function graph is displayed here What is the expected value of the random variable 3 Type an integer or a decimal
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Calculus
Vector CalculusPoints 0 of vo fair dice are rolled find the probability that the sum of the dice is 6 given th probability is nplify your answer Type an integer or a simplified fraction
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Calculus
Vector CalculusFind a sequence of elementary matrices that can be used to write the matrix in row echelon form 1 2 1 0 036 3 5 10 7 0 1 H 1 0 O 0 1 0 0 1 2 0 100 0 1 0 5 0 1 O 01 30 0 1 0 0 i 0 0 1 50 1 0 1 00 1 0 0 1 0 0 0 1 0 50 1 illa 11 1 0 0 1 0 0 0 1 0 0 0 1 2 0 1 0 0 1 0 0 1 3 0 0 1 0 i 501 0 1 3 0 1 0 0 1 0 0 0 1 0 0 ell 1 3 0 0 1 0 0 1 2 100 010 0 1 3 0 0 1 0 1 0 0 0 1 0 0 0 1 2 I 100 0 1 0 5 0 1 1 0 0 0 1 0 0 0 1 2
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Calculus
Vector Calculusdomain 4 4 that satisfies the hypotheses of the Mean Value Theorem and the conclusion of the Mean Value Theorem at and x 2 graph x 3 M5b Sketch the graph of a function on domain 4 4 that fails at least one of the hypotheses of the Mean Value Theorem resulting in a graph that does not satisfy the conclusion of the Mean Value Theorem
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Calculus
Vector CalculusSusan s dog Lilly weighs 3 8 pounds Round this number to the nearest whole number ones place Lilly weighs about pounds A 2 B 4 C 3 D 38
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Calculus
Vector CalculusFunction Yes or no Why If yes find the Domain and Range A 1 2 2 7 5 7 B 1 2 3 5 3 8 C x y 16 r
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Calculus
Vector CalculusFind the equation of the tangent line to the graph of f x 3 x at x 49 Express numbers in exact form Use symbolic notation and fractions where needed Let y f x and give the equation in terms of y and x equation

Calculus
Vector CalculusClassify each function as a constant function a power function a sum of functions or a difference of functions Constant function f x x 2 f x 9 Power function f x x 2 Answer Bank Sum of functions f x x x f x x x Difference of functions f x x f x x
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Calculus
Vector CalculusConvert the angle to a decimal in degrees 8 8 8 8 8 8 Do not round until the final answer Then round to two decimal places as neede

Calculus
Vector CalculusGI Given Tunction of two variabi a y x 2 y 2 e left x 2 y 2 right text a Sketch the graph of the function f b Find a tangent plane to the graph of the function f les T X at all points x y f x y c At what points is the tangent plane parallel to the xy plane How does the function behave near the points 0 0
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Calculus
Vector CalculusUse a change of variables to evaluate the following definite integral H 3 H 4 sin x 2 COS X u cos x What is the best choice of u for the change of variables Find du du T 3 S T sin x dx Rewrite the given integral using this change of variables dx sin x cOS X dx JO Type exact answers du
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Calculus
Vector CalculusIn the following figure estimate the slopes of all line segments If an answer is undefined enter UNDEFINED a m b m c m d m e m f m 9 m h m i m a b g c h d 0
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Calculus
Vector CalculusGiven the following graph identify the key features Y intercept 3 X intercept Domain Range Max Min F End Behavior Increasing Decreasing Positive Negative I
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Calculus
Vector CalculusA point on a line and its slope are given Find the point slope form of the equation of the line P 4 1 m 0 The point slope form of the equation of the line is Do not simplify Use integers or fractions for any numbers in the equation
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Calculus
Vector Calculusf x sin x a Sketch a clearly labeled graph of f x using a 1 1 scale b Explain why the slope of the tangent line to the graph of f at the origin x 0 is given by the limit lim x rightarrow 0 frac sin x x c Approximate the limit using a table of values d Use your result in c to find an equation for the tangent line to f at the origin and add a graph of it to
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Calculus
Vector Calculus24 Harvesting fish A fish farmer has 5000 catfish in his pond The number of catfish increases by 8 per month and the farmer harvests 300 catfish per month a Show that the catfish population P after n months is given recursively by P 1 08P1 300 Po 5000 b How many catfish are in the pond after six months
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Calculus
Vector CalculusThe population of a suburb of New York City has shown a linear growth in the years 1990 2003 The population in 1990 was 36480 people and it has been growing at a rate of 245 people per year

Calculus
Vector CalculusFind the one sided limits whether lim 2 f x exists O 2 2 does not exist 2 2 exists and equals 2 O 3 3 exists and equals 3 3 3 does not exist lim x 2 f x and lim 2 f x from the given graph of fand determine
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Calculus
Vector CalculusFind lim xaf x if it exists lim x a lim x a lim f x b f x a f x c The limit fails to exist
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Calculus
Vector CalculusGraph the function and the indicated tangent line Graph f x 4x and the tangent line to the graph at the point whose x coordinate is 2
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Calculus
Vector Calculus2x Given g x f cos t dt find g x O None of the above O 2sin x O cos 2x O2cos 2x
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Calculus
Vector CalculusWrite 94 as a traditional Chinese numeral Click here to view the Chinese numerals table Choose the correct traditional Chinese numeral below OA tu 8 OB 8 8 ti D 8
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Calculus
Vector CalculusWrite the Chinese numeral to the right as a Hindu Arabic numeral t t 5 8 9 10 100 1000 0 1 2 3 4 5 6 7
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Calculus
Vector CalculusA population of cattle is increasing at a rate of 700 30 t per year where t is measured in years By how much does the population increase between the 12 th and the 18 th years
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
Calculus
Vector CalculusTemperature Suppose there is a 1 1 F drop in temperature for every thousand fee that an airplane climbs into the sky If the temperature on the ground is 45 8 F wha will be the temperature when the plane reaches an altitude of 8 000 ft The temperature will be F Type an integer or a decimal
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
Calculus
Vector CalculusWhich function has the same range as f x 2 x 3 8 Og x x 3 8 g x x 3 8 O g x x 3 8 Og x x 3 8
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Calculus
Vector CalculusDefine the points Q 5 3 and R 3 9 Carry out the following calculation Find the unit vector with the same direction as QR
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Calculus
Vector CalculusFind the following vector The vector in the direction of 8 6 with length 4 The vector in the direction of 8 6 with length 4 is Simplify your answers

Calculus
Vector CalculusSketch PT in blue and its corresponding position vector in red Choose the correct graph below OA x Q G OB P Ay 10 10 Q SOC X Q O D

Calculus
Vector CalculusDefine the points P 5 1 Q 22 R 2 2 S 5 4 T 4 3 and U 5 4 Sketch QU PT and RS and the corresponding position vectors Sketch QU in blue and its corresponding position vector in red Choose the correct graph below O D OA Q OB Q Q Q 2 OC Q Q Q
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
Calculus
Vector Calculus26 Which of the following shows the angle 108 in standard position A OB O C D 55 3n
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Calculus
Vector CalculusDetermine whether the given function is linear If the function is linear express the function in the form f x ax the function is not linear enter NOT LINEAR f x 3x 5 NOT LINEAR f x

Calculus
Vector CalculusFind all real solutions of the equation Enter your answers as a comma separated list 8 7x 6 X