Calculus question and answers for March 02, 2024
- Q Question 7 If 1 5 and f x 1 for 1 x 4 how small can f 4 possibly be
- Q Score 2 9 279 answered Question 8 f 5 Suppose that 4 f x 5 for all values of x What are the minimum and maximum possible values of 5...
- Q Calculate the indicated Riemann sum S3 for the function f x x 4x 5 Partition 0 3 into three subintervals of equal length and let c 0 7 c 1...
- Q Compute L3 and R3 for Graphs A and B The value of L3 for Graph A is Simplify your answer AY 16 14 12 10 86 4 2 04 0...
- Q Find the partial sum without using a graphing utility 100 50 En En n 51 n 1
- Q Use the Binomial Theorem to expand and simplify the expression x 1 5
- Q Use the Binomial Theorem to expand and simplify the expression a 7 4
- Q Find the sum of the infinite geometric series if possible If not possible enter IMPOSSIBLE n 0
- Q Write an expression for the apparent nth term of the sequence Assume that n begins with 1 10 12 14 16 18 an 11
- Q Calculate the binomial coefficient 2
- Q Write the first five terms of the sequence Assume n begins with 1 an 110 9n a 32 a3 a4 a5 Determine whether or not the sequence is arithmetic If...
- Q Write an expression for the apparent nth term an of the sequence Assume that n begins with 1 4 5 6 7 8 1 3 5 7 9 an 11
- Q 8 Consider the vector whose initial point is P 5 2 and terminal point is Q 1 3 Find the position vector and graph both vectors in the space provided...
- Q The owner of a play equipment store wants to construct a fence to enclose a rectangular outdoor storage area adjacent to the store using part of the side of the...
- Q Solve the logarithmic equation for x Enter your answers as a comma separated list log x log x 48 2 X
- Q Solve the logarithmic equation for x as in Example 7 Enter your answers as a comma separated list 2 log x log 2 log 5x 8
- Q 7 To find the distance between two cities a satellite calculates the distance and the angle shown below not to scale Find the distance between the two cities Round your...
- Q Solve the logarithmic equation for x as in Example 7 Enter your answers as a comma separated list log x log x 3 log 3x X
- Q A car rental agency rents 200 cars per day at a rate of 30 dollars per day For each 1 dollar increase in the daily rate 5 fewer cars are...
- Q A rectangle is inscribed with its base on the x axis and its upper corners on the parabola y 5x What are the dimensions of such a rectangle with the...
- Q Determine whether the sequence converges or diverges If it converges find the limit If the sequence diverges enter DIVERGES 9n 20 lim an 11 an
- Q Use the Fundamental Theorem to evaluate the definite integral exactly 8 x x dx
- Q A particle is released as part of an experiment Its speed t seconds after release is given by v t 0 6t 12t where v t is in meters per...
- Q 1 3 2 A baseball diamond is a square with sides of 90 feet To the nearest foot how long is a throw to first base from third base the...
- Q 4 Find the point at which the given function h x x2 equals its average value on the interval 2 4 Hint use Mean Value Theorem for integral
- Q 3 Use symmetry to calculate the following integral 2 points 5 123 31 7 sin x dx 5 123
- Q 2 Calculate the following integrals 1 point each 2 2 dx A B TT 2 cos x 3 sin x dx Hospel sol In4 3 c S 172743 3 e...
- Q Find Jes e3x cos 2x dx 2 2 points
- Q 1 Given a function of g x on 1 8 and k x 0 on 1 3 k x dx 10 k x 0 on 3 6 k x dx...
- Q 5 Use the Variations on the Substitution Method to calculate the following integral 2 points 3x 4 hint set u S x sin 3x 4 dx
- Q A 0 60 sin 30x dx 2 points each hint set u 30x Table 4 9 Ti for Quiz 4 21 points 2tniog St 5 bine 2 mt 1 B...
- Q 1 2 1 point You hold two sheets paper vertically facing each other You blow air between the sheets and observe that they are moving closer toward each other Which...
- Q Consider the concentration C of a drug in the blood as a function of a the amount of the drug given and t the time since the injection For 0...
- Q 8 Consider the function f x 3x 5x 4 7x a Find a term that when added to f would change the end behavior of f as but not as...
- Q The graphs below are traces for a function at x If f x y ax by then a 2 110 1 and y 1 and b 1 0 Trace for...
- Q 2 It is known for a function f that as f x and as a o f x What must be true about the leading coefficient of f and the...
- Q The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the function shown below Find the price demand equation if the weekly...
- Q An automobile company is ready to introduce a new line of cars through a national sales campaign After test marketing the line in a carefully selected city the marketing research...
- Q The marginal price for a weekly demand of x bottles of shampoo in a drugstore is given by the function shown below Find the price demand equation if the weekly...
- Q A yeast culture is growing at the rate of W t 0 40 1 grams per hour If the starting culture weighs 4 grams what wi be the weight of...
- Q Find the solution of the exponential equation as in Example 1 Enter your answers as a comma separated list 22x3 1 X
- Q A one meter long bar is heated unevenly with temperature in C at a distance x meters from one end at time t given by H x t 120e 0...
- Q Find the solution of the exponential equation as in Example 1 Enter your answers as a comma separated list e 3x e4x 3 X
- Q Let s solve the logarithmic equation log 3 log x 8 log x a First we combine the logarithms on the LHS to get the equivalent equation b Next we...
- Q In this question we will approximate 82 with a rational number a To use the linear approximation there is an obvious choice of function f x and point ao What...
- Q Let z x 4y Then The rate of change in zat 3 1 as we change x but hold y fixed is The rate of change in zat 3 1...
- Q Suppose f x y is a differentiable function Match the names of its derivatives in Newtonian and Leibnitz notation 1 2 3 4 5 of By of Da dyda 6...
- Q The question asks us to sketch the function y cos 3t First note that the function is a cosine function and will have that basic shape From the text the...
- Q Problem 8 I t 24 77e kt where k 48 Find the average temperature of the coffee during the first 37 minutes after it is poured Enter your answer symbolically...
- Q Find all the first and second order partial derivatives of f x y 8 sin 2x y 10 cos x y A 1 B Sv c fen D ffwr 0...
- Q Find the partial derivatives of the function fx x y fy x y fay x y f ra f x y xye B
- Q Given u x t t e compute Uxx H
- Q Find the first partial derivatives of 2x 3y 2x 3y f x y af x af 4 1 4 1 dy at the point x y 4 1
- Q Compute the partial derivative f x y cos x 6y fy 0
- Q Suppose f x y xy 2 Compute the following values f 0 2 2 0 f 0 0 1 2
- Q roblem 6 Find an integral which represents the volume of the solid obtained by rotating the region enclosed by the curves y x and y 8x about the line x...
- Q Find the sine and cosine of the angle 8 Calculater from the Pythagorean Theorem sin 0 cos A 11 8 10 24 y X i
- Q Find the sine and cosine of the angle 0 sin 0 cos 0 0 y 90 54 72
- Q Use Newton s Method with the function f z z 2 and initial value o 1 to calculate 21 22 23
- Q Find the sine and cosine of the angle 0 sin 0 y 0 10 8 6 X
- Q 5 Solve the triangle rounding to the nearest tenth assuming a is opposite side a 3 is opposite side b and y is opposite side c a 4 b 6...
- Q Use the parent function f x logx and transformation techniques to graph h x log x 7 3A dicate which transformation s is are applied Determine the domain range and...
- Q 1 Use the parent function f x logx and transformation techniques to graph g x log x 5 indicate which transformation s is are applied Determine the domain range and...
- Q Solve the following basic calculus problems d a dx e cos x
- Q Evaluate the following iterated integral xye dy dx 00 1 2 7 by dy dx 00 Type an exact answer in terms of e
- Q kf x dx kf f x dx a x g x dx a x dx g x dx f x dx 0 f x dx f x dx a q...
- Q For an average person the rate of change of weight W in pounds with respect to height h in inches is given approximately by the following formula 0 0015h dW...
- Q Use a triple integral to find the volume of the wedge bounded by the parabolic cylinder y x and the planes z 14 y and z 0 The volume of...
- Q Monthly sales of a particular personal computer are expected to decline at the following rate of S t computers per month where t is time in months and S t...
- Q Problem 4 Find the area of the region in the first quadrant that is enclosed by the curves x y y x 24 and the x axis Problem 4 2...
- Q For an average person the rate of change of weight W in pounds with respect to height h in inches is given approximately by the following formula dW 0 0015h...
- Q Evaluate x 0 4 0 4 7x y dx dy 7x y dx dy Simplify your answer 7x y dx dy x y
- Q Find the exact real number value of the expression sec sin 1
- Q Match the equation with its graph y x 36 25 1 5 y 10 12 5 10 X y 10 5 10 5 5 10 10 X O 10 5...
- Q Test for exactness If exact solve If not find an integrating factor and solve Find the general and particular soluton 4 y m dx 5 x n dy 0 with...
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