Calculus question and answers for October 25, 2023
- Q If we apply Rolle s Theorem to the function f z 2z 20z 3 on the interval 3 7 how many values of c exist such that f c 0...
- Q 1 Consider the function f z on the interval 4 8 Find the average or mean slope of the function on this interval By the Mean Value Theorem we know...
- Q Consider the function f x 4x 6x 3 0 1 7 The absolute maximum of f z on the given interval is at z and the absolute minimum of f...
- Q Find the maximum and minimum values of the function g 0 40 9 sin 0 on the interval 0 Minimum value Maximum value Question Help QUE
- Q Consider the function f z 6x 4z 1 f z has a critical point at z A Find the value of A A At z A does f z have...
- Q and for fy f x y 10 4x 7y 8 f x x y l
- Q If y t 6t 8 2 4 find dy dt Questing Wale e dy dt
- Q Find the slope of the tangent line to the curve 3x 2xy 1y 92 at the point 2 4
- Q Question 20 Consider the function f x exact values f x f x x 3x 1 Compute each of the following Simplify your answer and use I 1
- Q Textbook y cos z 4 dy dz Find dy dz Type sin x for sin z cos x for cos z and so on Use x 2 to square x...
- Q Textbook Videos Use the chain rule to find the derivative of f z 5 10z 4z 6 You do not need to expand out your answer f x Question Help...
- Q The accompanying table is from a study conducted with the stated objective of addressing cell phone safety by understanding why people use a particular ear for cell phone use The...
- Q Five data entry operators work at the data processing department of the Birmingham Bank Each day for 30 days the number of defective records in a sample of 300 records...
- Q OOK Videos If f z 6 tan 4 sin 3x f x Question Heln
- Q If f x f x COS 526 find f x Use exact values
- Q If f x sin 5x find f x Use exact values f x
- Q Write each product as a sum containing only sines or cosines Select the choice that matches your answer 2B 4B 3 22 sin COS 3 57 A D 1 D...
- Q Textbook Find the derivative of f x 10x 4z Videos Question Help Video
- Q Two vehicles start out traveling side by side along a straight road Their position functions shown in the following graph are given by s f t and s g t...
- Q Twice a positive integer squared less 3 is What is the integer A S B 7 C 11 D 13
- Q Complete the lowing a The graph of y g x is shown Draw the graph of y g 2x 1 K 8 6 4 2 8 6 at 2 2...
- Q 9 Find the reference angle for 312 a 132 b 48 c 48 d 21
- Q 3 Solve the trig equation 2 sin 3x 1 0 2 a x 1 1 277 4 6 3 2n 99 9 b x C X d x TT 5T...
- Q solve by power serise the following DE N 31 N T
- Q B 1 5 6 7 8 9 10 11 12 13 14 15 A B C D E d da f x g x f x g x g x...
- Q Use the properties of logarithms to expand log Each logarithm should involve only one variable and should not have any exponents Assume that all variables are positive log 0 9...
- Q Find the derivative of f t t4 t5 1 t6 f t Plot the graphs of f t and f t together on the same plot to check your result
- Q The Fresnel function which has applications in optics and highway design among other areas is defined as as an integral accumulation function S a sin 7 2 dt Determine the...
- Q Fourier sine transform of f x e is O 1 1 q O 2 O XX 1 a O 1 a X 1 a 2 1 q
- Q 22 Find the point that corresponds with a b 0 1 c 1 13 2 d 3 1 4T 3
- Q 21 Find the magnitude and direction of the vector 5 4 a Magnitude 3 Direction 39 b Magnitude 41 Direction 141 c Magnitude 41 Direction 321 d Magnitude 3 Direction...
- Q 15 Find the amplitude and period of the equation y 2cos3x a Amplitude 2 Period 3 b Amplitude 2 Period 2 t 3 c Amplitude 3 Period 2 d Amplitude...
- Q 5 Approximately how many feet tall is the streetlight a 12 8 b 15 4 c 16 8 d 23 8 h 20 ft 40
- Q nd and simplify the difference quotient x h f x for the function f x x 3x 5 h
- Q 7 Find the reference angle for 129 a 309 b 51 c 51 d 39
- Q What is the maximum perimeter of a right angle triangle with a hypotenuse of 12 cm a 24 cm Ob 24 2 cm Oc 12 12 2 cm d 12...
- Q Find the derivative of the given funciton f x x tan x a f x 2x sec x O b c f x f x d f x 2 X...
- Q etermine two coterminal angles in radian measure one positive and one negative for each angle There are many correct answers Enter your answers as a comma separat a b 7...
- Q A conical tank has a height 5 m and a radius 2 m at the base Water flows at a rate of 2m 3 min How fast is the water...
- Q The twist angle x t of a torsionally vibrating shaft of unit length is determined from 8 0 2x where An 1 S 1 Then 0 x t An cos...
- Q Let w a x y z dx b x y z dy c x y z dz be a differentiable 1 form in R such that dw 0 Define f...
- Q 5 The polar coordinates of a point are given Find the rectangular coordinates of the point how 5 2 4 a 6 c d 2
- Q 81 Let f x 0 if x is any rational number and f x 1 if x is any irrational number Show that f is not integrable on 0 1
- Q For the matrix B shown below determine the value of the element b12 If the element is not defined click the undefined button 5 8 B 6 1 6
- Q Given the definitions of f x and g x below find the value of f g 0 f x x 4 g x 3x 7x 8
- Q Using the figure below estimate the following 5 Round your answers to one decimal place a f g 2 b g f 2 c f f 3 d g g...
- Q 44 The perimeter of a triangle is 26 inches If the longest side is twice as long as the shortest side and the third side is 2 inches longer than...
- Q 7 Evaluate the piecewise function for f 2 f x a undefined b 0 2x 5 x 2 5x2 2 x 2 c 18 d 1
- Q Find the maximum and minimum values of f x y x y subject to the curve 7x 12xy 8y 100
- Q For those which are polynomial functions find the degree the leading term and the leading coefficient 6 f x 7x4 6x A Degree 7 leading term x4 leading coefficient 7...
- Q Let f x O O f x f x x sin a X Determine f x 2 sin a 2x cos x x3 2 sin x 2x cos x I...
- Q The function f is differentiable for all x values and f has exactly two critical numbers x 2 and x 5 Furthermore f 2 is a relative minimum and f...
- Q y tsin t y
- Q IF you were asked to find the derivative of f x log3 x2 9x 7 it would be helpful to rewrite the expression first Which expression below is equivalent to...
- Q 7 8 marks Find the volume generated by revolving the region bounded by y x 4x and y 0 about a The x axis
- Q Compute f 0 when f x 00 Write your exact numerical answer in the box below
- Q 1 60 Solve the given equation for x log X 25
- Q Solve the right triangle shown in the figure A 52 2 c 54 a What are the lengths of the sides a Round to the nearest hundredth as needed b...
- Q Factor each 9 2x x 6 0 11 64x6 1 0 State the possible rational roots for each equation 13 7x 2x 7x 2 0 10 3x 22x 35 0...
- Q Let In 0 35xn 128 be a linear DDS a Suppose the initial value is o In 40 Find the explicit solution b Calculate the equilibrium value for this DDS...
- Q 12 The number of visits to public libraries increased from 1 1 billion in 1998 to 1 3 billion in 2003 Find the average rate of change in the number...
- Q Solve for x rounding to the nearest hundredth
- Q 7 Find the center of the ellipse 16x 9y 64x 54y 1 0 a c 2 3 2 3 b d 2 3 2 3
- Q Find the coefficient a of the given term in the expansion of the binomial Binomial Term x 9 12 ax a
- Q Find the derivative y arcsec e2x
- Q 5 5 points A rectangular poster is to contain 648 square inches of print The margins at the top and bottom of the poster are to be 2 inches and...
- Q 28 Find the common ratio of the geometric sequence O A B 1 6 C 213 C 6 3 1 1 18 3 2 12 72
- Q 34 lim 78 n 7 A 0 n 8 The limit B does not exist O C 1 D 8
- Q 11 Find a polynomial function with real coefficients that has these numbers as roots 4 0 3i OA x4 4x 9x 36x OB x3 4x 3x 12 C x 4x...
- Q 16 Find the first term of this sequence an O A 113 B 1 C 610 9 D 3
- Q The one to one function f is defined below f x 6 x Find f x where f is the inverse of f 1 f x 0
- Q 8 Let f x 3 x 5 x 3 a Determine f x BOCS b Show that the equation of the normal line to the graph of y f x...
- Q Establish the identity Follow the format 1 sin x y sin x y 2 cos x sin y se the information given about the angle 0 to find the exact...
- Q a Find the inverse of the function f x f x 7x 3 7x b What is the domain of the inverse function Enter your answer using interval notation
- Q Find all points where fails to be differentiable f x 13x 12 Points Note Enter points as a comma separated list with smaller a coordinates first If no solution enter...
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