Calculus question and answers for August 24, 2023
- Q the rectangular equation y 4x to polar form and sketch its graph 2 1 pt Convert the polar equation r 6 cos 0 to rectangular form and sketch its graph...
- Q A bucket begins holding 30 kgs of sand The bucket is to be lifted to the top of a 15 meter tall building by a rope of negligible weight However...
- Q Consider the region in the first quadrant that is enclosed by y 1 and y f x x Rotate this region around a horizontal line y ke where the shape...
- Q Two airplanes leave an airport at the same time An hour later the planes are 212 km apart If one plane has traveled 284 km and the other has traveled...
- Q A GRAPH 1 X if X 15 pts f x 2x 4 if 1 x 2 6 X if X 2 B GIVEN f x 3x 1 3 2X f...
- Q A solid intersects the region in the rzy plane bounded by the lines a and x b the graph of y f z and the x axis The cross sections...
- Q What is the area of AABC given mZB 83 a 25 feet and c 40 feet
- Q The side lengths The height of the triangle is h and CD x Complete the steps below to prove the Law of Cosines When filling in the blanks you may...
- Q If f f x dx 37 and g x dx 16 find 2f x 3g x dx
- Q ASK YOUR TEACHER Find the reference angle 8 for the special angle 8 5 4 MY NOTES 0 8 3 4 Sketch in standard position and label 8 y O...
- Q MY NOTES 0 Find the reference angle for the special angle 8 5x 4 0 ASK YOUR TEACHER Sketch in standard position and label 9 y O 0 PRACTICE ANOTHER...
- Q 10 Given the function f x x x 5 X 3 a Find the domain of fin interval notation b Find the asymptotes of f x as well as any...
- Q Find the area of the region bounded by the graph of f x xsin x and the x axis between x 0 and x The area bounded by the region...
- Q Sketch the region enclosed by the given curves y sin 1 THANE 2 y 1 y x 1 1 X
- Q The elevation of a path is given by f x x3 4x 4 where x measures horizontal distances Draw a graph of the elevation function and find its average value...
- Q Let P x y be a point on the graph of y x 2 a Express the distance d from P to the origin as a function of x d...
- Q 19 A furnace manufacturer wants to know how much of the metal surface area is giving off heat in this design The metal box is cube shaped all sides equal...
- Q If the range of the linear function in Item 3 is 8 y 68 what is the domain
- Q X Submit Answer 1 Points DETAILS SCALCET8 A D 067 Find all values of x in the interval 0 2 that satisfy the equation Enter your answers as a comma...
- Q Part B Jose predicts that the value of his car will decrease exponentially by 25 over the next 4 years If Jose s prediction is correct about how much will...
- Q 2 x f x x 4 Graph if 3 x 1 if x 1 10 8 6 4 2 10 00 8 6 4 2 2 4 61 8 O...
- Q the given equations are x y 12 and x y 0
- Q Rewrite 6 sin x 4 cos x as A sin x 4 A e 11 Note should be in the interval T
- Q 10 Below we are given vectors u v and w u 5i 2j k v 4i j k w 2i j k Are these vectors co planar In other words...
- Q Accurately graph the following quadratic function Make sure to label the 5 points on the graph g x x 3 5 Show Transcribed Text 2 If limx 6 p x...
- Q Solve lim f x X 6 0 lim x 3x 40 X 6 2 1 3 40
- Q Use the Vertical Line Test to determine whether the curve is the graph of a function of x a 3 O is a function b c d is not a...
- Q Question 5 0 5 points Listen 6 Use the definition of the derivative to determine f x for f x x I Of x 6 x f x 6 x2...
- Q Question 1 0 5 point Listen If g x 4 3x determine the domain of g x 1f O 0 O 0 U 0 3 3
- Q The graph below depicts a function f x Its two asymptotes are indicated The graph below depicts a function g x Its one asymptote is indicated in red 5 4...
- Q 17 Below we are given vectors u v and W u 5i 2j k v 4i j k w i j Are these vectors co planar In other words do...
- Q P20 7 2 3x 2 Q The graph of the function f x tanx is given above for the interval a 0 2 ONLY Determine the one sided limit Then...
- Q 9 One of the members of your team got called to the counseling office while you were working on this problem in class When they came back they saw that...
- Q 5x Guer fx 5x Find the secant line for f x from 1 99 to 2
- Q 3 Given f x 5x 3x Find the difference quotient f x h f x h hzo
- Q f x x 25 g x 2x 4 If f x 11 then x
- Q b Obtain the natural representation of the circular helix r u a cos u a sin u bu a 0 b 0 0 leq u infty c Find the arc...
- Q Do the following for the function f x 8x 7x a Express the slope of the secant line in terms of x and h b Find msec for h 0...
- Q f x x 2 b Find f x d Graph f x
- Q Please write as a decimal 4 75 10000
- Q 4 Find the exact value of a cos 5t 6 3 z b 8 when sin 8 2 and 0 6 c cos 8 if tan 8 where 0 it...
- Q What is the domain of the function y 2 x 61 O O 0 x O 3 X X 0
- Q Which equation is related to x 10 1 x O x 10 x x 1 O x 10 x 2x 1 x 10 x 1 O Ox 10 x2 1
- Q 5 7 To rationalize the denominator of 9 14 you should multiply the expression by which fraction O 5 7 9 14 9 14 9 14 9 14 9 14...
- Q Which expression is equivalent to O O 4 200 2 4 20 2 2 5 5 100 A 10 8
- Q What is the following quotient 1 3 3 4 1 3 4 1 3 4 1 3 EN 2
- Q The speed that a tsunami can travel is modeled by the equation S 356 d where S is the speed in kilometers p hour and d is the average depth...
- Q Define the points P 0 0 and Q 5 5 For the vector PQ do the following a Sketch the vector in an xy coordinate system b Compute the magnitude...
- Q nd an equation of the tangent line to the curve at the given po y In x415 2 0
- Q Given the toolkit function f x 2x find the equation of the transformation g x after a shift to the right 2 and a reflection across the y axis Og...
- Q 43 Let e be an angle in standard position with point x y on its terminal side Find the following trigonometric function for the given values of x y and...
- Q z ln 2 Express 2 64x y w8 as a product of Three terms z e y 4x 2 8w8
- Q lim h 5 h 6 h h 3h
- Q V 28 Express a 390 angle in terms of radians A 13TT 13T radians 6 B C 11 radians 6 13 radians 12
- Q The average value of f x 6x on the interval 0 x 4 is
- Q 1 Use a truth table to show that is a tautology pq p q V q p
- Q Simplify the expression inside the limit if possible Select the correct choice below and if necessary OA lim 5 x 2x 4 x 0 X lim X 0 OB The...
- Q I am always continuous and have a point of inflection at the origin My range is from negative infinity to infinity I am always continuous and have a point of...
- Q I am continuous every where except when is zero which is also where I have a vertic asymptote
- Q I am always continuous and have a point inflection at the origin My range is from negative one to one
- Q 12 Using the distance formula and the points 2 4 7 6 what is the second step in the solution A d 4 2 6 7 B d 4 2...
- Q 6 Rewrite with absolute value notation t 7 or t 7 A t s7 B t 27 C t 7 D t 7
- Q 7 Rewrite with absolute value notation 3 x 3 OA x 3 B x 3 OC x s3 O D x 23
- Q Describe this set by listing the elements B t 3 t 11 and t is an even integer A B 3 5 7 9 11 C 4 6 8 10...
- Q The graph of a function f x is given in the diagram 1 b 51 4 3 2 1 I 0 5 a What is the average rate of change...
- Q Let F y z x z xz Evaluate aw F ds for each of the following regions W A x y z 8 B x y2 z 8 x 0...
- Q 1 point Evaluate aw F dS where F x y z ex z and W is the solid rectangular box whose sides are bounded by the coordinate planes and th...
- Q 1 point Evaluate the line integral 3y dx 4x dy where C is the straight line path from 3 4 to 9 10 c3y dx 4x dy
- Q 1 point If F V 2x y find F dr where C is the quarter of the circle x y 16 in the first quadrant oriented counterclockwise JcF dr
- Q Estimate the instantaneous rate of change of g t 2t 2 at the point t 3 In other words choose x values that are getting closer and closer to 3...
- Q Suppose an arrow is shot upward on the moon with a velocity of 59 m s then its height in meters after t seconds is given by h t 59t...
- Q 5 4 3 2 3 4 2 56 2 3 2 w 5 q In the above graph of y f x find the slope of the secant line through...
- Q 5 4 3 2 7 1 3 2 t 2 3 4 m f 5 q In the above graph of y f x find the slope of the secant...
- Q Let h x x 6x 8 The absolute minimum value of h over the closed interval 1 x 6 occurs at what z value Choose 1 answer A 0 B...
- Q The half life of Sodium 24 is 14 96 hours If a sample contains 170 mg how many mg will remain after 170 hours ma
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