Calculus question and answers for March 21, 2024
- Q 12 find all of the asymptotes vertical Horizontal and or oblique of the ration function f x 3x x x 4x 3
- Q 6 Find a curve that passes through the point 1 2 and has an arc length on the interval 2 6 given by 2 What is one such curve y...
- Q The profile of the cables on a suspension bridge may be modeled by a parabola The central span of the bridge is 1280 m long and 160 m high The...
- Q Find the arc length of the curve below on the given interval x 3 y 1 4x on 1 2 The length of the curve is Type an exact answer...
- Q a Write and simplify the integral that gives the arc length of the following curve on the given interval b If necessary use technology to evaluate or approximate the integral...
- Q Write each of the following in terms of sin 0 and cos 0 and then simplify if possible Leave all answers in terms of sines and cosines 1 csc 0...
- Q Find a curve that passes through the point 1 7 and has an arc length on the interval 2 6 given by 2 What is one such curve y 12...
- Q Find the arc length of the curve below on the given interval X 8y 2 for 3 sys5 The length of the curve is Simplify your answer
- Q 60 Find tan if is the angle formed by the line y mx and the positive x axis B 1 m
- Q Find the area of the region enclosed by the curves y 2 sinx and y 2 sin 2x for 0sxsx The area of the region enclosed by the curves is...
- Q a Write and simplify the integral that gives the arc length of the following curve on the given interval b If necessary use technology to evaluate or approximate the integral...
- Q 59 Find the slope of the line y mx It passes through the origin and the point 1 m
- Q 6 Find a curve that passes through the point 1 7 and has an arc length on the interval 2 6 given by 1 1 576x d 2 What is...
- Q What differentiable functions have an arc length on the interval a b given by the following integrals Note that the answers are not unique Give all functions that satisfy the...
- Q 7 The line y 3x passes through the points 0 0 and 1 3 Find its slope
- Q 8 Suppose the angle formed by the line y 3x and the positive x axis is 8 Find the tangent of 0 y y 3x 1 3 0
- Q The function defined by years and x 0 corresponds to 1960 325 b When do the seasonal maximum and minimum carbon dioxide levels occur 3 7 11 2 2 2...
- Q Is the graphed function differentiable at x 3 Choose the correct answer below OA Yes because f x has a non vertical tangent line at x 3 OB No because...
- Q 53 cos 0 csc 0 5 and 8 E QII
- Q 53 cos 8 csc 8 5 and 8 E Q
- Q Suppose the graph of f on the interval a b has length L where f is continuous on a b Evaluate the following integrals in terms of L b 2...
- Q The graph to the right shows the total sales in thousands of dollars for a department store during a typical 24 hour period a Calculate the rate of sales during...
- Q 40 Suppose f is an odd function and is differentiable everywhere Show that fo every positive number 6 there exists a number cin b b such that f b f...
- Q 1 12 13 and 14 Verify that the function satisfies the three hypotheses of Rolle s heorem on the given interval Find all numbers c that satisfy the conclusion of...
- Q 24 Let f x 2 2x 11 Show that there is no value c in 0 3 such that f 3 f 0 f c 3 0 Explain why this...
- Q The owner of a photocopy store charges 8 cents per copy for the first 100 copies and 6 cents per copy for each copy exceeding 100 In addition there is...
- Q Is the graphed function differentiable at x 1 Choose the correct answer below OA Yes the function is differentiable at x 1 OB No because while the function is continuous...
- Q 17 18 19 and 20 Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval Find all numbers c that satisfy the conclusion of...
- Q The given function is defined for all x except for one value of x If possible define f x at the exceptional point in a way that makes f x...
- Q Determine if the function f x is continuous and or differentiable at x 3 f x x 18 for 3 x 3 7x for 3 x 8 Is f x...
- Q Determine the value of a that makes the function f x continuous at x 9 x 45 x 9 x29 f x ax Select the correct choice below and if...
- Q Determine whether the following function is continuous and or differentiable at x 10 f x x Is the function continuous at x 10 OA Yes the function is continuous at...
- Q Determine whether the following function is continuous and or differentiable at x f x Is the function continuous at x 6 OYes 2x 6 for 0 x 6 6 for...
- Q 4 Ex 3 Graph f x x y Name the asymptotes Domain Range X X Y
- Q Is the graphed function differentiable at x 5 Choose the correct answer below OA Yes the function is differentiable at x 5 OB No because while the function is continuous...
- Q Is the function graphed to the right continuous at the point x 1 Choose the correct answer below 54 3 2 1
- Q The graph shows an idealized description of the temperature in F for approximately the last 150 thousand years of a location at the same latitude Complete parts a c www...
- Q Ex 2 Graph f x x y Name the asymptotes X Domain leftmost to rightmost Range lowest to highest X Y
- Q function graphed is of the form ya sin bx or ya cos bx where b 0 Determine equation of the graph 1 5 3 1 1 3 A
- Q The function graphed is of the form y a sin bx or y a cos bx where b 0 Determine the equation of the graph y Use integers or fractions...
- Q Determine the amplitude and period of the given function Graph the function 2 X y 3 sin The amplitude is Simplify your answer Type an exact answer using it as...
- Q Use the given graph to estimate the value of each derivative a f 3 b 1 2 c f 1 d f 0 e f 1 1 f 2 9...
- Q Find the required trigonometric ratio of using the given information 45 tan 0 sin 0 and 8 E QI and 6 and 0 E QI 2 3 46 tan 0...
- Q Write and simplify but do not evaluate an integral with respect to x that gives the length of the following curve on the given interval y 5 cos 3x on...
- Q Use the figure below which shows the graph of y f x to answer the following questions 1 0 A Between x 3 and x 3 B Between x 3...
- Q Find the arc length of the line y 4x 3 on 0 3 using calculus and verify your answer using geometry Which of the following is a simplified form of...
- Q Write and simplify but do not evaluate an integral with respect to x that gives the length of the following curve on the given intervall y 5 cos 3x on...
- Q is the average value of f x on 0 x 2 alue is the average value of g x on 0 x 2 alue is the average value of f...
- Q Find the remaining trigonometric ratios of 12 21 cos 0 and terminates in QI 22 13 23 cos 0 25 sin 0 5 13 and 0 E QIII 27 sin...
- Q Among all rectangles that have a perimeter of 64 find the dimensions of the one whose area is largest Write your answers as fractions reduced to lowest terms
- Q 19 If sin 0 20 If cos 0 23 cos 25 sin 1 V5 27 sin 0 Find the remaining trigonometric ratios 12 21 cos 0 and terminates in QI...
- Q Find the remaining trigonometric ratios of 12 and terminates in QI 22 13 21 cos 0
- Q 17 If cos 0 V3 2 and terminates in QI find sin 0
- Q 9 sin 5 13 and cos
- Q 13 Find cose if sin and terminates in QII
- Q 5 3 Points DETAILS SCALCET9 2 XP 8 004 Trace or copy the graph of the given function f Assume that the axes have equal scales Use estimates of the...
- Q 4 3 Points DETAILS SCALCET9 2 XP 8 003 Trace or copy the graph of the given function f Assume that the axes have equal scales Use estimates of the...
- Q Use the given graph to estimate the value of each derivative a f 3 b f 2 c f 1 d f 0 e f 1 f f 2 g...
- Q 6 3 Points DETAILS SCALCET9 2 XP 8 006 Trace or copy the graph of the given function f Assume that the axes have equal scales Use estimates y the...
- Q The graphs of four derivatives are given below Match the graph of each function in a d with the graph of its derivative in I IV YA ya a c...
- Q Use the reciprocal identities in the following problems 1 If sin 0 find csc 0 2 If cos 0 V3 2 find sec 0
- Q x 1 2x 1 7 f x 2 1 x 4 1 2 2 x 3x a at x 1 x 4
- Q 8 g x 2x 1 In x a We x 3 3 x 1 x 1 x 3x 7 at x 3 raping ant sau b at x
- Q 4 r x 3x4 9x 2
- Q 3 f x X x 2x
- Q A 4 ft tall fence runs parallel to the wall of a house at a distance of 7 ft Find the length of the shortest ladder that extends from the...
- Q Let R be the region bounded by the following curves Let S be the solid generated when R is revolved about the given axis If possible find the volume of...
- Q 6 For 60 90 determine if each statement is true or false V4 2 a b sin 0 0 cos 0 c tan 0 1 3 2 1 3
- Q If is an angle in the first quadrant and sin 0 0 2 V find tan 0 2
- Q 2 Evaluate a sin T b cos 0 c tan 5 d sin 45
- Q 5 If is an angle in the first quadrant and cos 0 find in radians and degrees
- Q 4 Use the unit circle to estimate the values of sin 55 and cos 55 to the nearest tenth 0 5 55 O 0 5 0 05 0 5
- Q 3 Find the missing lengths of the sides of the triangle 2 45
- Q 1 Consider the angles 0 where 0 0 2 a What is the largest possible value of cos 0 At which angle measure 0 does it occur b What is...
- Q Suppose f x 0 for all x and the y axis A Set up the integral that gives the volume of the solid Use increasing limits of integration Select the...
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