Calculus question and answers for December 22, 2023
- Q Find the coordinates of the point on the unit circle at an angle of 3 4 Give your answer in the form x y and leave any fractions in fraction...
- Q 1 2 cos 300 2 2 2 cos 210
- Q 9 Hint Let c x au y bv and z cw Then integrate over an appropriate region in uvw space Evaluate the given integral over the solid ellipsoid a b...
- Q Evaluate the integral 6 0 2 SS 0 2x 4 Sp 3 p sin 20 d d0 dp 6 0 2 SS S 0 2 4 Type an exact answer...
- Q Solve the system u 2x y v 2x 3y for x and y in terms of u and v Then find the x y value of the Jacobian Find the...
- Q Find the volume of the portion of the solid sphere p 2 that lies between the T 5 6 cones 6 and The volume is Type an exact answer using...
- Q In a Use a substitution to find f Show your work and final answer in the provided area using HTML Editor s Insert Math Equation function an da
- Q Use a substitution to find 0 7 0 It 150 13 S cos 2 de x cour dix
- Q Use a substitution to find f sin x cos xdx O cos zsin x C 6 sin z cos x C OCCO E C in 2 C
- Q Use the integration by parts formula to find freda Show your work and final answer in the provided area using HTML Editor s Insert Math Equation function Edit Format Table...
- Q Find the surface area of revolution about the x axis of y 2 sin 5x over the interval 0 x 5
- Q Find the arclength of y 2x 2 on 0 x 3
- Q Let f x 3 log x f x f 8 3 In 3 x 3 In 24
- Q 9x 9 x10 10 Hint Use In properties In u v ln u ln v ln ln u ln v and ln u p ln u Find the derivative of...
- Q If f x 2 cos 4 ln x find f x 8 sin 4 In x Find f 5
- Q The force on a particle is described by 9x 6 at a point x along the x axis Find the work done in moving the particle from the origin to...
- Q Find the arclength of x 2y 2 on 2 y 9 to three decimal places
- Q Find a z score such that 63 of the area under the standard normal curve is below that score Click the icon to view the area under the standard normal...
- Q The 2022 sophomore PSAT scores are normally distributed at East Richmond Hills High School with an average or mean score of 600 and a standard deviation of 25 What is...
- Q Write cos F 00 11 in terms of the cosine of a positive acute angle Provide your answer below
- Q Question The terminal side of angle intersects the unit circle in the first quadrant at y What are the exact values of sin cos 0 Provide your answer below
- Q 16 Does the relation is less than for numbers have a reflex ive property consider one number A symmetric propert consider two numbers A transitive property consider three numbers
- Q Use a reference angle to write sin Provide your answer below 31 36 in terms of the sine of a positive acute angle Include parentheses in your answer 31
- Q Question Determine the exact values of sin 0 and cos 0 given that the terminal side of angle 0 intersects the unit circle in the first quadrant at Provide your...
- Q If the terminal side of angle 0 goes through the point 3 3 2 3 13 13 Provide your answer below on the unit circle then what is sin 0
- Q Question Find an angle A that is coterminal with an angle in radians measuring 23 where 0 A 2 Give your answer as an exact answer involving if necessary
- Q The graph of f is shown in the figure to the right Let A x f t dt and 2 X F x f t dt be two area functions...
- Q REAL NUMBERS Finding the sale price without a calculator given the original pri The price of an item has been reduced by 65 The original price was 20 What is...
- Q An arch is 615 ft high and has a 560 ft base It can be modeled by the parabola 27 X y 615 1 0 Find the average height of...
- Q A student takes a multiple choice test of 20 with four choices and guesses on each question Find the probability that the student gets exactly 6 correct answers 0 1686...
- Q Graph the function g x log x 3 2 O O O 3 3 1 2 1 3 3 3 6 X
- Q Write and equivalent algebraic expression that involves x only tan sin 1 7 x
- Q Identify the x intercepts of the parabola y x 1 16 O 3 0 and 5 0 O 2 0 and 4 0 O 0 3 and 0 6 O...
- Q Solve the exponential equation 37 3 243 Ox 3 Ox 2 3 x 2 3 Ox 4
- Q Use the product quotient and power rules of logarithms to rewrite the expression as a single logarithm 2 loga x 3 log y 5 loga z O loga x2y6 25...
- Q Find the vertical and horizontal asymptote s of the graph of the rational function f x 2x 3 x x 6 O Vertical Asymptotes x 1 x 6 Horizontal Asymptote...
- Q A car dealership has 7 red 4 silver and 8 black cars on the lot Five cars are randomly selected to be displayed in front of the dealership Find the...
- Q Find the amount that should be invested now to accumulate the following amount Round the answer to the nearest dollar 7400 at 6 compounded semiannually for 8 years O 4700...
- Q In a club with 8 members how many ways can the club elect a president a treasurer and a secretary 358 O 112 56 336 240
- Q Solve sin x 0 75 on 0 x 2 There are two solutions A and B with A B and A and B in radians to 4 decimal places A...
- Q Let f 2 423 1922 the remaining zeros of f Oax 2 3i and x 3 4 b x 2 3i and x 3 4 r Oca 2 3i and...
- Q Using synthetic division determine whether the numbers are zeros of the polynomial function 2 3 2 f x 3x 5x 6x 18 Select the correct choice below and if necessary...
- Q completely factor p x into linear functions zero 3 i p x x 4 6x 3 46x 2 216x 360
- Q a x y Solve the system u 2x y v 2x 2y for x and y in terms of u and v Then find the value of the Jacobian Find...
- Q me integrals below give the area of a region in the xy plane Sketch the region label each bounding curve with its equation and give the coordinates of the points...
- Q of For the function f x y sin 3x 3y find 7 dx f 6 21 sin 3x 3y cos 3x 3y dx f av 11 6 21 sin 3x...
- Q ketch the region of integration associated with the double integral 2 SS f x y dy dx 0x Choose the correct sketch of the described region OA 5 OB 8...
- Q Setup an integral to find the surface area of a sphere of radius 1 using the surface areal integral formula Do not evaluate the integral Type your integral that you...
- Q Solve the system u 2x y v 2x 2y for x and y in terms of u and v Then find the value of the Jacobian The function for x...
- Q 8 Sketch a possible graph of a function f showing any vertical asymptotes or holes and that satisfies all of the follow f 0 1 f 4 is undefined lim...
- Q r 7 hoose the correct answer below A 14 OE 14 coordinates in three dimensional space OB 146 OC 146 0 OG OD OH
- Q f 7 For the function f x y sin 3x 3y find dx of 7 and f dy
- Q equations for a the tangent plane and b the normal line at the point Po 1 1 0 on the surface x y z 2 Which equation describes the tangent...
- Q Applying these values we get x dx 18 6 1 1 In x9 x18
- Q Given the parametric equations x t 2 and y t 3 4t where 3 t 3 which of the following graphs represents the curve and its orientation 8 7
- Q The Integral Part 2 of 5 To find 1 X18 x dx Vx18 6 TV 6 can be best matched by formula number 43 we can use formula 43 shown...
- Q Part 5 of 5 x sin 4x2 cos 9x2 dx 20 Since cos 0 cos 8 then we can rewrite this as C 20 cos 13x 52 52 C
- Q Applying these values we get 1 x sin 4x cos 9x dx cos 5x cos 13x C
- Q To find J x sin 4x2 cos 9x2 dx we can use formula 81 shown below cos a b u cos a b u 2 a b 2 a b...
- Q Find the volume generated when the region between the curves is rotated around the given axi Answer exactly x y and y x rotated around the line y 8
- Q The following integral is a O b OC x cos x 2 ex dx Convergent using D C T by comparison to Divergent using D C T by comparison to...
- Q Write a slope intercept equation for a line that passes through 7 0 and 5 3 The slope intercept equation for the line is Simplify your answer Use integers or...
- Q Use the Table of Integrals to evaluate the integral sin 20 V 5 3 sin 8 C de
- Q Use the Table of Integrals to evaluate the integral 1 x dx x18 6 Part 1 of 5 The integral J dx x18 6 can be best matched by formula...
- Q Total profit is defined as total revenue R x minus total cost C x and is given by the function P x R x C x Given R x 60x...
- Q Does correlation imply causation in the amount of hamburgers chicken cooked on the grill and the amour of propane gas used on the grill
- Q Use the Table of Integrals to evaluate the integral 9 si 9 sin7 x cos x In sin x dx
- Q Find an approximate value of the given trigonometric function by using the figure and a calculator sin 1 2 0 5 0 0 5 a the figure Round your answer...
- Q Evaluate F dr where is the line segment from 7 4 1 to 1 41 7 and 2 F yz cos xz 2x i sin xz 1 j xy cos...
- Q Ex 13 The order is for Zithromax PO 500 mg on day 1 then 250 mg qd on days 2 5 for a total dos of 1 5 g The...
- Q Use the Table of Integrals to evaluate the integral 21 sin 21 sin x dx Enhanced Feedback C Please try again Try using substitution along with the integral Ju u...
- Q A university is trying to determine what price to charge for tickets to football games At a price of 24 per ticket attendance averages 40 000 people per game Every...
- Q Find two values of 0 0 0 2 that satisfy the following equation 2 2 cos 0 0 Simplify your answer Type an exact answer using as needed Use integers...
- Q Use the Table of Integrals to evaluate the integral 1 21 sin x dx X C
- Q Write a polynomial f x that satisfies the given conditions 1 Polynomial of lowest degree with zeros of multiplicity 2 and multiplicity 1 and with 0 2 f 6 f...
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