Calculus question and answers for July 01, 2023
- Q DUE MONDAY APRIL 15th YOU 2004 AP CALCULUS AB FREE RESPONSE QUESTIONS y g x 2 Let f and g be the functions given by f x 2x 1 x...
- Q 10 Given to the right is the graph of f t Additionally let the function g x be defined to be ff t dt a Where does the graph of...
- Q 5 3 For questions 6 8 use the Fundamental Theorem of Calculus to find the derivative of the functions 6 g s t t2 8 dt 7 F x x...
- Q 3 2 0 1 2 1 4 1 Graph of f 5 2 5 The graph of the function shown above consists of a semicircle and three line segments Let...
- Q For the following find F x F x So COS t2 dt F x 2t 5 dt night La 3x F x Int dt aloupe D S F x t...
- Q b 1 1 y sin e cos 0 tan e csc e sec 0 cot e
- Q Given f x dr 4 f x dz 6 and 6 and 9 2 de 19 dz dx 3 find the following L1 2 dz 2 135 15 3f x...
- Q What are the domain and range of the function f x 2 6 Domain 0 O Range 6 Domain 6 O Range 0 Domain 6 O Range 00 0 Domain...
- Q 2 2 2 4 2 4 Graph of f C 10 5 6 7 2 3 The graph of a function f is shown above What is the value of...
- Q 7 Simplify each trig expression into one number or an expression with a single trig function 1 CSC x a b sin x cos x tan x C cot a...
- Q 1 Alvaro is studying the extinction of the bear population of Siberia over time The following function gives the number of bears t years since Alvaro started tracking it B...
- Q Solve the equation Write the solution set with the exact values given in terms common or natural logarithms e2y7ey 12 0
- Q The function is defined on the closed interval 3 8 and is g graph above Let g be the function defined by g x 71 t de a Find g...
- Q 4 g x 5 at x 4 X
- Q Find the indefinite integral using substitution for 10z 52 2 10x 272 C 5x 4 C 5 4 10x 5x 4 C
- Q 2 Determine if the integral is convergent or divergent dx If the integral is convergent evaluate x the integral
- Q 2 2 Ex 5y 1 We consider equation E xyEN We Suppose that xy is d caple solutias of the equation E parity 1 Can x and y have the...
- Q 1 10 points What is the maximum vertical distance between the parabola y x 2 1 and the line y 2x 5 6 d 4 yz x 2 1 2x...
- Q 5 f x on 3 5 x 2
- Q If log 2 0 4307 and log 3 0 6827 then using the product and power properties of logarithms what is the approximate value of log 6 Your final answer...
- Q From the 2013 IPE AB5 a Find g 6 and g 3 6 4 5 4 M 6 Graph of f 12 The graph of the continuous function f consisting...
- Q What is the slope of the line with the equation y 3x 2 a 0 c 1 b 3 d 5
- Q 4 A function f t gives the rate of evaporation of water in liters per hour from a pond where t is measured in f t dt in the context...
- Q Use the graph of the function to answer each question 2 x 2 f x csc x 2 3 2 a Find all x intercepts of the graph of y...
- Q Use the graph of the function to answer each question 2x x 2 f x cot x 2 3 2 a Find all x intercepts of the graph of y...
- Q 4 AVMN has sides of lengths v n and m a Write an expression for the height of the triangle h in terms of the measures of the sides and...
- Q B Find the area of AMPO Round to the nearest hundredth M 14 66 O P 17 5
- Q 1 In AACD AC 25 inches and DC 18 inches a Find ED to the nearest tenth b Find the area of AACD D
- Q Susan is flying a kite which gets caught in the top of a tree Use the diagram to estimate the height of the tree 63 6 ft 1 59 ft...
- Q q The graph of the function f in the figure below consists of line segments and a quarter of a circle Let g be the function given by g x...
- Q 2 A particle moves along the y axis so that its velocity at time t 0 is given by v t 1 tan et At time t 0 the particle...
- Q Let A x represent the area bounded by the graph the horizontal axis and the vertical lines at t O and t X for the graph below Evaluate A x...
- Q 315 A
- Q 6 Co primality Let a b be two integers We call a and b relatively primes or co primes IFF gcd a b 1 Show that the numbers 6k 5...
- Q 5 In ADEF angle F is an obtuse angle Is the value of d x ex cos F positive or negative Explain
- Q A spherical snowball is melting in such a way that its radius is decreasing at rate of 0 1 cm min At v rate is the volume of the snowball...
- Q Find the point x y on the unit circle that corresponds to the real number t t 6 x y 3 2 1 2
- Q S 1 point The function is defined by f z a sin b a c d for constants a b c and d In the y plane the points 2...
- Q point Library Michigan Chap16Sec3 Q47 pg Let W be the solid half cone bounded by z x y z 1 and the yz plane with x 0 and let Let...
- Q Find if possible the complement and supplement of the angle Enter NONE in any unused answer blanks 5 6 complement
- Q Find the difference of the angles Write your answer in D M S form 120 45 29 and 18 36 6
- Q An aqueous solution contains 0 150 M HCI at 25 0 C The pH of the solution is O A 0 82 O B 7 00 O C 0 150...
- Q Convert the angle measure from degrees to radians Round your answer to three decimal pl 47 24 rad
- Q A C TC 3 13 cos 1 1 A 73 C 9 15 sin cot A 2 3 B B D TC 3 2 D 3 TU B C 0...
- Q graph of the O is Shown in the figure below Which of the following coul be the graph or f 2 E y y f 2 B
- Q Given is the graph of f x Answer the following questions Make sure you justify your answers q Determine intervals where f x is decreasing 10 Determine the x value...
- Q For the table to the right selected values of x and f x are given Assume that f x and f x do not change signs II Is f x...
- Q p Given f x x 3e x 0 8 on what intervals is f increasing CALCULATOR
- Q graph of the derivative of in the figure below Which of the to the graph or f 0 y y f X is Shown following could B E
- Q Geometry 5 Find the measure of each indicated angle Favorite Type of Music B a AE b ACE R B 17 A Pop Country H 66 55 C Hip Hop...
- Q 14 log 4 log 2x 1
- Q x ux 2 CX 232
- Q 8 25 3x 6 125 12 2x
- Q 5 logx log4 1
- Q 4 7 2log x 3log4
- Q 2 Tiana started working at Pax River Ale House earning 9 25 per hour Every six months she gets a 3 25 raise If Tiana has worked at the Ale...
- Q 3 While skiing last weekend Mr Weisner noticed an ice sculpture that started out at 52 inches tall wa melting continuously at a rate of 3 per minute Find the...
- Q 5 If tan cot 0 and 0 0 A sin cos which of the following statements must be true B 1 sec 0 1 csc 0 C sin cos 0...
- Q A boat is sailing due east parallel to the shoreline at a speed of 20 miles per hour At a given time the the bearing to a lighthouse is 68...
- Q 4 If tan 03 find sec 0
- Q 6 1 point What is the IQR of the set of the data below 52 61 71 63 54 69 63 65 68 58 57 11 10 15 000 019
- Q Suppose that 28 000 from a retirement account is invested in a large cap stock fund After 20 years the value is 86 000 Use the model A Pertto determine...
- Q Pertor A P 1 nt to solve the following Use the model A Pertor A problem 45 000 is invested at 3 1 compounded monthly How long will it take...
- Q g x 2 3 d 2 2 x 2 5 10 X
- Q A polynomial of degree 12 may have at most relative extreme values maximums and minimums 12 A roots and at most
- Q 1 5 Evaluate sin sin 0 25 and explain your reasoning
- Q 17 Hint Draw a right triangle 7 Evaluate sin arccos
- Q 3 Kymani was asked to evaluate cos cos His answer and explanation are given below 1 COS cos because the inverse cosine function undoes the cosine function so the output...
- Q 3 Which of the following pairs of functions have the same range Choose all that apply 1 f x sinx and g x cos x II f x tan x...
- Q Fill in the blanks Do not rationalize at b e d tan 57 12 11 1 b 3 3 d
- Q Find a b and c Note that the fraction is not simplified sin 57 6 X 1 2
- Q 6 y tan 0 A B D 3 2x Z 3x 2 3r 4x
- Q Write Name Date Period Show all work including labeled triangles in the unit circle showing direction 1 Graph y tan x 3TT 2 T TT 2 y 3 2 0...
- Q 4 Let f 0 tan and g 0 cot 0 Which of the following statements is true A If f 0 0 g 0 0 B If f 0 0...
- Q 2 Find the period of y cot 2
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