Calculus question and answers for October 26, 2023
- Q Find the quotient Round to 3 decimals 40 44 10
- Q Convert the fraction to a decimal 4 5
- Q Find the quotient Round to 3 decimal places 1 13 3 2
- Q Find the quotient Round to 3 decimal places 9 5568 66
- Q Round to the nearest hundredth 0 1744
- Q What is the domain of the function y x O O 0 x 0 0 x 0 1 x 00 00 x 00
- Q The radius of a circle with an area of 60 square centimeters is represented by the expression is another way of expressing the radius O2 15x 4 5x 2 15x...
- Q What is the following quotient 6 11 5 3 O O 17 8 57 30 3 2 55 33 8 30 3 2 55 33 2
- Q If the range of f x mx and the range of g x m x are the same which statement is true about the value of Om can only equal...
- Q What is the range of the function y x 5 O y2 5 O y 0 Oy 5 O y 25
- Q The orbital period P of a planet and the planet s distance from the sun a in astronomical units is related by th formula If Saturn s orbital period is...
- Q Which function is undefined for x 0 O y x 2 y x 2 Oy x 2 Oy x 2 0 0
- Q What is the following quotient 9 2 4 7 9 7 14 3 36 9 7 4 2 14 9 36 9 7 4 2 14 9 79
- Q Differentiate the function f x sin x In 2x f x
- Q Jse logarithmic differentiation to find the derivative of the functio x 3 y x 3 y
- Q ifferentiate f and find the domain of f Enter the domain in interval notation f x In x 2x erivative omain
- Q Differentiate the function G y G y In 4y 1 y 1
- Q Differentiate the function 12 y In x y
- Q 38 The end of a 24 inch pendulum swings through an arc of 8 inches What is the measure in radians of the angle through which it swings Use the...
- Q I have a vertical asymptote at x 0 with a domain of only positive numbers
- Q 10 Using the distance formula and the points 0 1 3 4 what is the second step in the solution A d 3 0 4 1 B d 3 0...
- Q For the vectors u 2 4 and v 3 2 calculate proj u and scal u proj u
- Q 9 Using these points 3 6 3 5 d A 11 OB 11 O C 1
- Q 4 Given A B C and D are collinear points in order B C AD10 BC 5 and AC 8 Find AB A 3 B 3 C 5 D
- Q Estimate the slope of the tangent line rate of change to f x x at x 1 by finding slopes of secant lines through 1 1 and each of the...
- Q PART II Find the particular solutions of the given solutions satisfying the given conditions in each number 1 ex 4y c y ln 2 1 2 x y c y...
- Q a Sketch the slope field for the differential equation b use the slope field to sketch the solution that passes through the given point and c discuss the graph of...
- Q Solve for x 4 35 The exact solution using logarithms is a The approximate answer rounded to 4 decimal places is x
- Q Define f x tan for x 1 Answer the questions using a plot if necessary Can f 1 be defined so that f is continuous at x 1 O No...
- Q Identify the asymptotes domain and range of each function f x x 1 3 4 2 16 2 O f x 2 X
- Q Yaster Car Sharing offers a membership plan with a 45 per month fee that includes 9 hours of driving each month and charges 9 for each additional hour Let F...
- Q 1 point Apply the Laplace operator to the function h x y z ex sin 2y V2h
- Q What position vector is equal to the vector from 0 4 7 to 4 2 5 The position vector is
- Q Let Q t 2 Find a formula for the slope of the secant line over the interval 3 1 Express numbers in exact form Use symbolic notation and fractions where...
- Q 1 0 5 0 AI 7 4 180 23 150 4 135 210 120 225 240 0 1 kire 90 270 0 1 60 kim 45 300 30 f 330...
- Q Determine lim g x for g as in the figure x 0 5 y 1 5 1 0 5 lim g x x 0 5 y g x X Give...
- Q point se a triple integral to find the volume of the solid enclosed by the paraboloid x 4y 4z and the plane x 4
- Q The position of a particle at time t is s t 5t Compute the average velocity over the time interval 2 7 and estimate the instantaneous velocity at t 2...
- Q If there is more than one answer separate them with commas If the answer is an interval enter it in the form a b a b a b or a...
- Q x 6 Give an exact answer Use symbolic notation and fractions where needed lim f x x 6 1 lim x 6 f x lim x f x x 6
- Q Let a b Let f be a bounded function on a b Let P P2 P3 be a sequence of partitions of a b such that lim P 0 n...
- Q 1 point Consider the function f x y 8x x 6y y Find and classify all critical points of the function If there are more blanks than critical points leave...
- Q 5 4 3 2 5 4 3 2 1 y ON 1 1 234 3 1 2 3 4 5 4 15 Write an equation for the function graphed above
- Q Let f x x If g x is the graph of f x shifted down 4 units write a formula for g g x
- Q Give the slope and the y intercept of the line y 6 4x Slope 4 y intercept 6 Hint Is your intercept written as a POINT X
- Q 1 Which is the correct formula for finding the derivative of the product of two functions O fg f g O fg fg gf fg f g 2 Use the...
- Q Given the points 2 4 and 1 10 find the slope
- Q Listen ABCD is a square Express AC BC as a single vector O a O b b CD c DA d AD DC
- Q Question 2 1 point 4 Listen In rectangle ABCD X and Y are midpoints of AB and AD respectively If a AX and b AY then DB is equal to...
- Q Consider the velocity function for an object moving along a line shown in the figure a Describe the motion of the object over the interval 0 13 b Use geometry...
- Q Use the chain rule to find the derivative of f x 5 6x 9x6 16 You do not need to expand out your answer f x
- Q Determine two coterminal angles in degree measure one positive and one negative for each angle There are many corre answers Enter your answers as a comma separated list a b...
- Q Convert each radian measure to degree measure Do not use a calculator 3 a 2 b 5T 6
- Q Find the are length function for the curve t t sinxt cosat starting from the point 0 0 1 in the direction of increasing t
- Q I Fon the function f x y 2x 2y 2xy x y 151 classity the critical points 1 0 and T t 7 t JR t d 45 ds K...
- Q 8 Find the function f x y 2x 2y 2xy x y classify the critical points 1 0 and 3 3 12 3
- Q 7 Fon R R t u where t t w x y z and u u w x y z Use the Chain rule to write out the partial derivatives...
- Q Fon the curve R t Sinzt t cosat Find ti Unit tangent vector
- Q 3 Let f be a differentiable function of z If y f a define the differential of y dy at 2 mi
- Q 4 Fill in each blank with the correct derivative a k 0 b cf x cf 1 d f x g x x 9 dfg c f x g x...
- Q 9 The area of an ellipse is given by the formula A ab where a is the semi major axis and b is the semi minor axis Imagine that a...
- Q Evaluate the following limits If needed enter oo for and o0 for 00 4 4z 9 3x a lim 818 4 4x 9 31 Question Help Video b lim 8118...
- Q 3 X 2 1 3 2 1 For the above rational function f x 1 2 3 15 2 5x2 3 identify the interval on which f is concave dow
- Q A farmer finds that if she plants 100 trees per acre each tree will yield 40 bushels of fruit She estimates that for each additional tree planted per acre the...
- Q Write the sum using sigma notation 8 11 14 17 47 B where AB A B A n 1
- Q If 1100 square centimeters of material is available to make a box with a square base and an open top find the largest possible volume of the box Volume cubic...
- Q A graph of y f z is shown In the same coordinate system sketch a graph of the derivative function y f z over the interval 4 4 44 3...
- Q Let y 3x Find the change in y Ay when I 1 and Az Find the differential dy when I 1 and dr Question Help Video 0 4 0 4...
- Q Find the maximum rate of change of f x y ln x y2 at the point 3 5 and the direction in which it occurs Maximum rate of change Direction...
- Q 1 point If z tan of u and u dz du dz and x u and y find the following partial derivatives using the chain rule Enter your answers as...
- Q The functions f x and g x are graphed below 5 4 3 2 5 3 2 1 2 3 4 5 1 2 3 4 5 5 4 3...
- Q Rylan enjoys adding her own toppings to a frozen pizza She bakes her frozen pizza on a pizza stone that is 12 inches in diameter and inch thick What is...
- Q 1 point Use the chain rule to find First the pieces dr End result in terms of just 1 de where z x y xy x 4 1 y 5...
- Q Listen To three decimal places the slope of the tangent to the curve f x log10 1 is a 0 434 b 0 251 c 1 000 d 0 868...
- Q a The image of the school bus is 5 cm long The scale is 1 300 K 5 cm length of each object Use scale diagram measurement actual measurement The...
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