Calculus question and answers for November 14, 2023
- Q Given the series 8 S k 0 6 does this series converge or diverge O converges O diverges 00 If the series converges find the sum of the series k...
- Q Question A tree casts a shadow that is 34 feet long and the angle of inclination from the top of the shadow to the top of the tree is 39...
- Q The reference angle is the angle measurement between the terminal side of the angle and the nearest half of the x axis Note that any angle s reference angle is...
- Q Example coefficient of g x 4x 2 5 2x From 4x 2 we need to look at the 4x but since 4x 2 is raised to the second power we...
- Q A retail chain sells DVD players The price demand function of a particular model p x in dollars is given below for the weekly demand x A Describe how the...
- Q Solve the given equation for x Remember that e 0 for all values of x 4x e 64e 0 XE Simplify your answer Use a comma to separate answers as...
- Q The revenue in dollars from the sale of x car seats for infants is given by the following function R x 32x 0 010x 0 x 3200 A Find the...
- Q A company estimates that it will sell N x units of a product after spending x thousand on advertising as given by N x 0 25x 22x 432x 76 000...
- Q The number x of bicycle helmets a retail chain is willing to sell per week at a price of p is given by x 81 p 9 300 20 ps...
- Q 5 Use the implicit differentiation to find the derivative y given the implici equations cos 2xy x 2y dx
- Q d Find 6 Type In x for the natural logarithm function dx
- Q Calculate the sample standard deviation of the data shown Round to two decimal places X 15 17 222 14 19
- Q Differentiate the following function You do not need to simplify the derivative h x 5e2 h x
- Q A radar gun was used to record the speed of a runner during the first 5 seconds of a race see the table Use Simpson s Rule to estimate the...
- Q A circular swimming pool has a diameter of 24 ft the sides are 6 ft high and the depth of the water is 5 ft How much work in ft...
- Q The antiderivative of f x is unique True False
- Q nd and du Z Z V dv u In 3 v 1 u In 3 v 1 1 when u In 3 v 1 if z 10 tan 3 Simplify...
- Q e given functions a express dw as a function of t both by using the Chain Rule and by expressing w in terms of t and differentiating directly with respect...
- Q Assuming 8x 2y 6xy 0 defines y as a differentiable function of x use the theorem 0 0 une an integer or a simplified fraction dx X to find dx...
- Q dz dz du Find and when u In 3 v 1 if z 10 tanx and x Inv dz dv du 11 Simplify your answer
- Q Use the limit process to find the area of the region between the graph of the function and the x axis over the given interva y 4x 6 0 1...
- Q dz se the functions below to a express and as functions of u and v both by using the Chain Rule and by dv dz dz expressing z directly in...
- Q Find the velocity acceleration and speed of a particle with the given position function r t t i 7tj 3 In t k v t a t v t B...
- Q 6 What is the total resistance for the circuit below R 2927 R 352 R3 6925
- Q 9u u 3 du Describe the most appropriate substitution case and the values of u and du Select the correct choice below and fill in the answer boxes within your...
- Q 5 20 points Consider the second order differential equation y ay by f t where a and b are constants If initial conditions are given by y 0 yo y...
- Q Find equations of the tangent lines to the curve Y x L that are parallel to the line X 21 2 Enter your answers a X L a Comma Sepereted...
- Q An equation for the line tangent to the graph of the differentiable statements function fat x 3 15 Y 4x 6 Which of the following must be true 1 f...
- Q Find f x and f x for f x x e A f x 4x ex and f x 12x AX f x 4x ex x cx and f x...
- Q Differentiale K 0 2x 1 x 2x Select the correct answer 3 6x 4x 2 14x 4x 12x 2x 3 2 D 6x x4 2 4x 2x 1 bx x...
- Q Let be a differentlable function such that f 3 2 ard F 8 5 If g 13 the function defined by g x f x 2 x What is the...
- Q Integrate the given series expansion of f term by term from zero to x to obtain the corresponding series expansion for the indefinite integral of f If f x 1...
- Q Find the future value for the ordinary annuity with the given payment and interest rate PET 750 1 30 compounded semiannually for 4 years The future value of the ordinary...
- Q Problem 12 Test the following three series for convergence n 22n n n 3 3 n 76 2 sin n 3n
- Q 2 Use the function g x 0 5 5 x x 1 2 for the following 1 1 2 1 marks a Determine the end behaviours of the function behaviour...
- Q y 2 tan 2x 3 Plot the two most central vertical asymptotes as a vertical lines Then plot the 3 defining points between them using the dot tool k Q...
- Q 2 25 pt Find the value of zyy at the point 1 1 0 where yz x y e
- Q The graph of the rational function f x is shown below Use the graph to complete each limit statem Provide your answer below Asr x 0 0
- Q Karl Yates needs 24 000 to pay for the remodeling work on his house A contractor agrees to do the work in 10 months What is the present value of...
- Q For the function f x y sin 7x 8y find of and 513
- Q a What point is on the graph of y g x 6 3 b What point is on the graph of y 2g x 4 2 c What point is...
- Q Find the value of az OzZ at the point 1 1 1 if the equation 4xy z x 4yz 1 defines z as a function of the two independent variables...
- Q Find ax ax and P5 dy 2 f x y 4x 5y Type an exact answer using radicals as needed
- Q Find the slope of the line graphed below 0
- Q Perform the following operation Express your answer in scientific notation What is the result of 3 0 x 104 x 9 0 x 104 A 2 7 x 107 B...
- Q The concentration of a medicine in the bloodstream after t hours of taking it is giver 0 1t t 3 where t is the elapsed time in hours measured from...
- Q Use the graph off to find the largest open interval on which is increasing and the largest open interval on which is decreasing Enter your answers using interval notation y...
- Q Evaluate the trigonometric function COS
- Q Suppose you deposit 2000 at 3 interest compounded continously Find the average value of you account during the first 4 years A
- Q d g 22 Let g z Determine the third derivative of g dz3 10 cos z e 10 sin z 3 10 sin 2 10 cos z e
- Q 4 pts If f x y ey 5y x then fry ry A 1 xy ey 10y B yery 5y C y ery Q D E xexy 10xy ey 10...
- Q Find the value of the derivative if it exists at the given extremum If an answer does not exist enter DNE f x x 5 2 3 f 5 10...
- Q gives the height as time passes of a typical pine tree grown for lumber at a managed site Tree age years 42 49 14 21 28 35 64 72 79...
- Q f x 2 x 0 X 11 X X 1 0 3 1 R D
- Q Suppose and y are both differentiable functions of t and Determine dx dx dt y 4x 2x 2 dy given 8 and x 4 dt
- Q Let f y arctan y Determine the derivative of f f y Determine the slope of f at y 7 7
- Q How many periods of the function y sec x are there between 7 and JU 5 211 000 periods Enter your answer as a decimal Ente
- Q 13 g t 3 sin 5t 2test 2t 2 14 Find dr
- Q 3 7 f x 2 2 2 2 3x 2 Answer f x 12 2 x 3x 2 4 8 f x e3x 2x tan x 3 3x 9 f...
- Q Find the derivative of each function dx 1 f x x 2 f x 3e 3 f x 4 2 f x x
- Q 6 f x 3x cotx 7 g x 2x csc x 8 h x 1 sin x 1 sin x
- Q 12 g x 13 h t 1 tan x 1 tan x 1 cost
- Q 4 f x 2 cos x 3 4 X x 2 5 g x 3 sin x 2 6 f x 3x cotx
- Q dy 9 Find the derivative at of y 4te 21
- Q Let g x Use logarithmic differentiation to determine the derivative of g d dx g x x 9 5 x 8 6 x 1 x 2
- Q Which of the following represents z 6 3 6j in trigonometric form
- Q 10 points If f 3 8 f 3 4 g 3 2 g 3 6 find F 3 if F x f x g x
- Q f x 4x f x 4x limf x h f x Find also the equation of the tangent line to the graph of the h 0 h function at 14...
- Q 75 1072 31 3 12 3 3 3 4 3 5 42
- Q y 14 y 14 Use logarithmic differentiation to determine the derivative of f Let f y Dy f y
- Q Consider the parabola y 8x x a Find the slope of the tangent line to the parabola at the point 1 7 b Find an equation of the tangent line...
- Q 8 5 4 3 2 2 4 Based on the graph above estimate to one decimal place the average rate of change from x 5 Question Help Video Message instructor
- Q Let h v 5v7v 12 Use logarithmic differentiation to determine the derivative of h Dv h v
- Q Let g w sin21w 11w Use logarithmic differentiation to determine the derivative of g d 7 g w
- Q 12 Consider the shaded region bounded by the sine and cosine functions depicted below YA y cos x 0 5 0 5 0 5 y sin x 0 5 1...
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