Calculus question and answers for February 20, 2024
- Q Suppose we want to approximate the integral b x dx by using a left hand sum with 4 rectangles of equal widths Write out this sum using function notation for...
- Q Next question Evaluate the integral below by interpreting it in terms of areas in the figure The areas of the labeled regions are A1 7 A2 3 A3 1 and...
- Q Estimate the areas under the curve by computing the left Riemann sum Lg 11 1 8 8
- Q Evaluate the integral 16 22 dx by interpreting it in terms of area In other words draw a picture of the region the integral represents and find the area using...
- Q The following limit of right Riemann sums can be expressed as a definite integral n 7 7i 2 5 3 7 7 2 1 n n i 1 lim n...
- Q 2 Next question The graph below shows a rectangular sum of n 4 rectangles to approximate the area under the line from x 0 to 2 4 14 13 12...
- Q Consider a function h that is continuous over 10 10 and let 10 foto h 0 Use the above information to evaluate each of the following definite integrals 17 forth...
- Q Consider the graph of f n 1 2 3 4 5 6 7 1 fl S f f x dx The shaded region over 0 2 has an area of...
- Q Find the rate of change of total revenue cost and profit with respect to time Assume that R x and C x are in dollars R x 40x 0 5x...
- Q Let If Use the given definite integrals above to evaluate each definite integral below 7 3f v dv 7 f v 6 du f v dv f v dv f...
- Q circle is growing its radius increasing by 2 mm per second Find the rate at which the area is changing at the moment when the radius is 26 mm When...
- Q Suppose that x and y are related by the equation 5x 4y 2 and use implicit differentiation to determine dx
- Q dy Differentiate implicitly to find Then find the slope of the curve at the given point dx 6x 7y 157 5 1 dy dx The slope of the curve at...
- Q Suppose that the price p in dollars and the number of sales x of a certain item are related by 4p 4x 2px 72 If p and x are both...
- Q uppose that x and y are related by the given equation and use implicit differentiation to determine x y y x 6 dy dx dy dx
- Q Consider the function f x 7 defined on 7 7 a Compute the left Riemann sum L10 L1o help numbers b Compute the right Riemann sum R10 R10 help numbers...
- Q Suppose f x 14 H a The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f x on the interval 4 x 6 The...
- Q Suppose f x 7 10 a The rectangles in the graph on the left illustrate a left endpoint Riemann sum for f x on the interval 4 6 The value...
- Q Given the function f x x using 5 rectangles of equal width find an approximation to the area between the curve and the x axis over the interval 3 9...
- Q Consider the function f x 100 x 10 defined on 0 10 a Compute the left Riemann sum L6 L6 help numbers b Compute the right Riemann sum R6 R6...
- Q Estimate the areas under the curve by computing the left Riemann sum L2 F1 16 1 8 1 0
- Q 1 Find a power series representation and interval of convergence for the derivative of 1 8 x f x
- Q Find all points where the partial derivatives of f x y are both 0 where f x y x 12x y 27y Number of point s where the partial derivatives...
- Q Given the function f 2 compute the left endpoint Riemann sum using m 6 on the interval 1 11 Ls help numbers
- Q rt 2 of 2 Ints eBook Hint Print References 1 Prepare journal entries dated June 30 to record a raw materials purchases b direct materials used c indirect materials used...
- Q The floor of a rectangular bedroom requires 288 ft of carpeting Molding is placed around the base of the floor except at two 3 ft doorways If 62 ft of...
- Q COS Tk
- Q Evaluate the integral 14 A dt N B C G 13 D
- Q Find the partial derivatives fa and fy of the function f x y The variables are restricted to a domain on which the function is defined f x y 5x...
- Q Find the partial fraction decomposition 2x 21x 21x 75x 96 2 x 8x 16 X 3 X
- Q Given the functions f x x 6x g x 6x h x 5x 6 Evaluate the function h g x for x 6 Give your answer in exact form h...
- Q Refer to the functions f and g and evaluate the function for the given value of x Select Undefined if applicable f 3 5 5 2 0 3 3 6...
- Q Set up the form for the partial fraction decomposition Do not solve for A B C and so on 12t 8 2t 9t 18 00
- Q A water main is to be constructed with a 25 grade in the north direction and a 10 grade in the east direction Determine the angle 0 required in the...
- Q 0 A 45 X y 2 9 3 B 27 9 3 C 36 D 18
- Q 6 3 Sx d A 1
- Q 5 Show that f x 2 e is an even function Sketch fand describe its symmetry 10 9 8 10
- Q y t 7 t 1 y 2 In 1 t t 3 y 1 4 Sorry we can t solve this one just yet Determine largest interval astch on which...
- Q 2y 2 y X dy 2y x 0 x 0 dx
- Q Find the exact solutions of the equation in the interval 0 2 sin 2x cos x 0 X X X X X X X smallest value largest value
- Q a 5 13 b 12 13 c 5 12 sin 8 cos 8 tan 0 d cos 20 e tan 20 5 0 12
- Q Use the figure and trigonometric identities to find the exact value of the trigonometric function below in two ways a 4 cos a sin B 4 cos a sin B...
- Q Begin with the graph of y e and use transformations to graph the function f x e Determine its domain range and horizontal asymptote What is the domain of f...
- Q dy 2 dt y t y 0 1 Aproximate yhe solution of IVP at t 1 by eu mothod b 05
- Q 3 Find the missing side lengths Leave your answers as radicals in simplest form 2 1 C x A x B x D x 5 n A m B m...
- Q y p t y q t y 0
- Q 206 986 zimsb nA CA TC shoitanut sint b Find Sex sec X fanx dx tosini stinitabal Pa Lidel 0 Hint Table 4 9 PP325 see the title page
- Q t t 1 y 1 t 1 y 0 t 1 Solution of this ODE on interval 1 infinite is n y1 t e t Find another solution y2 so...
- Q
- Q dy dt sin 2y t 1 cos y 2 t 1 y 0 TT O 6
- Q A water main is to be constructed with a 25 grade in the north direction and a 10 grade in the east direction Determine the angle 0 required in the...
- Q Use the Law of Sines to solve the triangle Let b 54 7 yd Round your answers for a and c to two decimal places C x X yd X...
- Q 5 cos x sin x dx
- Q 2t y 3y e y 0 a lim t 0 t
- Q Use the Law of Sines to solve the triangle If an answer does not exist enter DNE Round your answers to two decimal places A 119 a 125 b 202...
- Q 2 Given a function of g x 2x 8x 3 on 1 5 same as previous problem answer the following questions You cannot use the graphic calculator to find the...
- Q Calculate the following integrals 4x 5 2x dx 4x 5 2x dx mencerit sulky nes srltyd in A B C f 5 cos x sin x dx 4 x e...
- Q 1 Given a function of f x 2x 8x 3 on 1 5 answer the following questions You cannot use the graphic calculator to find the answers ing que A...
- Q 4 Given a function p x x 1 on 1 2 Find the point s guaranteed to exist by the Mean Value Theorem
- Q hips at an engineering firm As part of their work they get to assist in the planning of a brand new roller coaster For this assignment you help Jim and...
- Q ven a function f x 6x 3x find the antiderivative F x that satisfies F 1 3 7 10t 5 and g 1 10 find g t
- Q What two nonnegative real numbers with a sum of 23 have the largest possible product
- Q Use n 6 and p 0 2 to complete parts a through d below a Construct a binomial probability distribution with the given parameters P x 4 5 6 Round...
- Q Determine if the following probability experiment represents a binomial experiment If not explain why If the probability experiment is a binomial experiment state the number of trials n and probability...
- Q 56 59 Functions from derivatives Use the derivative f to determine the x coordinates of the local maxima and minima of f and the inter vals on which f is...
- Q 5 f x x tan x on TT TT 22
- Q Refer to the functions f and g and evaluate the function for the given value of x Select Undefined If applicable f 4 2 1 1 3 3 3 1...
- Q Given m x x 2 find mm x and write the domain in Interval notat Part 0 2 Part 1 of 2 mm x
- Q Refer to functions p and q Evaluate q p x and write the domain in interval notation Write your answers as integers or simplified fractions p x x 3x Part...
- Q 2 Use the parent function f x bx and transformation techniques to graph h x 3 x 5 Also indicate which transformation s is are applied Determine the domain range...
- Q Test the series for convergence or divergence Use the Select and evaluate lim 7140 Since the limit is Select Note Use INF for an infinite limit 7th n 10 2n...
- Q Test the series for convergence or divergence Part 1 Divergence Test Evaluate the limit lim bn 71 00 Identify the corresponding positive terms b Gipss li t 00 Calea 1...
- Q 4 7 Optimization Problems 1 A closed box top bottom and all four sides needs to be constructed to have a volume of 9 m and a base whose width...
- Q Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive L lim Van Enter inf for o 11...
- Q Apply the Ratio Test to determine convergence or divergence or state that the Ratio Test is inconclusive n 2n p lim Enter inf for o 71 00 00 n 1...
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