example г Find the centroid of the region bounded by the curves y = x ₁ x = 4 and the x-axis. (0,0) 2 2

Q: Find the triple integral of the function f(x,y,z) = x2cos(y+z) over the cube 3<x<4,0<y<pi,0<z<pi.

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Q: A company manufactures and sells x smartphones per week. The weekly price-demand and cost equations…

A: According to question,Given Functions,p = 500-0.5x,Cx = 20,000 + 135 x

Q: 700 (p+1)³² For the demand function q = D(p) = a) The elasticity b) The elasticity at p = 1, stating…

A: The demand function is given as , q=Dp=700p+13

Q: 9

A: Given: In order for a matrix B to be the inverse of A, both equations AB=I and BA=I must be true.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: Please see the below picture for detailed solution.

Q: Done A B C webwork.uits.iu.edu E G

A: Solution below

Q: : )₂² dx = 2M²+1 Jam x m+1 +( Connected to AmerEast-1. [ 2/²3 - 42²2 + 92]," 니 | [213 - 4 ( 22² +9…

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Q: x-2 1 2 x²+x-6 dx

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Q: In the Google sheet, o Create a vector 'r' of values of the radius of a cone with values starting at…

A: Sl no Radius (r) Height (h) Volume (V) 1 8.9 6.4 530.6013867 2 8.6 6.4 495.4333867 3 8.3 6.4…

Q: 5. Consider the region R bounded by y=1-x² x = 0 and y = 0 [This region is used to answer questions…

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Q: You've decided to sell sweatshirts for the upcoming game. You project that at a price of $29.04 per…

A: It is given that, At the price of $29·04, 180 shirts are sold and at the price of $21·84, 280 shirts…

Q: The price, in dollars per units, that consumers are willing to pay for a popular high-end digital…

A: Algebra

Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 16 minutes, 5.25…

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Q: Let f(x, y) = 3x²y + xe³ _ . _X (a) Find the partial derivatives fx and fy. (b) Compute the…

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Q: Use spherical coordinates to evaluate the triple integral  (e-((x^2)+(y^2)+(z^2)))/sqrt(x2+y2+z2)…

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Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

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Q: ㅠ 4 So - 2x e sin 4x dx

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Q: When a bowl of hot soup is left in a room, the soup eventually cools down to room temperature. The…

A: From the given table

Q: 2. Find the two x-intercepts of the function fand Show that f'(x)=0 at some paint between the two…

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Q: A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal…

A: Solution: Let the side of the square = x Given : Length of cardboard = 12 inches Breadth of…

Q: 5. Consider a unit vector u = (a,b). (a) How many unit vectors are orthogonal to u? (b) Explain a…

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Q: how does [x^3/3] become 9^3-1^3?

A: Problem is how x3319=1393-13

Q: The base of a certain solid is an elliptical region with boundary curve 9x² + 16y² = 144.…

A: Given, The base of a certain solid is an elliptical region with the equation 9x2+16y2=144 Cross…

Q: 2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated…

A: Given,

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 4  where the tangent line is horizontal. (x,…

A: Given query is to find the tangent line is  horizontal.

Q: An open box (no lid) with a square base has a volume of 4 cubic feet. What dimensions will minimize…

A: Let the base height and length be x and the height be y.Given: the volume is 4 cubic feet.

Q: Consider the region between f(x) = x -2 and the x-axis on [2,5]. For each line of rotation given in…

A: The given data is: y=fx=x-2,  x∈2,5 Given:  Aim: To find the volume of the rotated solid obtained…

Q: . lim) ㅠ 2 291) y. of mtaupt y cos y - 풋 य 품

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Q: 11. A rectangular page is to contain 144 square inches of print. The margins on each side are 1…

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Q: An isotope of a radioactive element has decay constant equal to 0.06 per year. Initially, there are…

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Q: 5. area A of the surface generated by rotating the region R about the line y = -3. Let R be the…

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Q: On which interval f(x) = -2³ + 3x² - 4 is concave upward? O a. (-1,1) O b. 1 Od. >1

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Q: me: 3. What does the lim h 0 f(x+h)-f(x) h Date: 2 =- - 4 indicate about the graph of the function…

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Q: ke for this investment to reach a value of $11,800.00?

A: Given query is to find the investment to grow 11800.00

Q: 2. The table below shows the high temperatures for each month of 2021 in Atlanta where month 1 is…

A: We have to find a trigonometric model that represents the Given data.

Q: Find the Inverse Laplace transform for the followi 2-5s (s-6) (s² +11) a) F(s) = =

A: Note:- Since you asked multiple equations ,according to our policy we can solve only first question…

Q: A bookstore sells 96 history textbooks per month at $120 each. The owners estimate that for each $10…

A: let number of $10 price increase is x

Q: Simplify the ratio of factorials. (n + 1)! (n − 1)! X

A: We have given to find ratio of factorials Let, y=n+1!n-1! y=n+1nn-1!n-1! y=n+1n y=n2+n

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

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Q: shells: (A) The method of cylindrical shells: The circumference of a typical shell = The volume V =…

A: To solve the following problem

Q: Determine whether the series is convergent or divergent. n = 1 5 n² + n³

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Q: Assume that the fucntion f is continuous for all x. If f'(-1) = 0 and f''(-1) = 0, then the point…

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Q: Consider the four graphs shown below. For each graph, select Yes if satisfies the following…

A: To determine the graph which satisfies the following conditions. (i) f'x&lt;0 when -2&lt;x&lt;5 (ii)…

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

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Q: X(35X [En(x) ? dx

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Q: pany makes computer chips from square waters of silicon. A process engineer wants to keep the side…

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Q: Suppose y = √2x + 1, where x and y are functions of t. (a) If dx/dt = 9, find dy/dt when x = 4. dy X…

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Q: S₁ 9 $₂ = 81 X $3 $4 55 9 Σ; 27-1 n = 1 = X

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Q: Solve the given differential equation. 7ydx - 7xdy+x+dx=3dx The solution is 0. (Type an equation.)

A: