evaluat e the fallowing integrais by interpheting them as areas of geome thic Objects la) So (20-4x) dx ' (8 -2x) dx 1) కోకి 3. V 64-x²dx

Q: Tutorial Exercise Evaluate the definite integral. Use the integration capabilities of a graphing…

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Q: if f(x) dx=18 and F(X)dx=3.8 find 5 S F(x) dx

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Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.

Q: From Rogawski ET 2e section 10.2, exercise 25. Use the formula for the sum of a geometric series to…

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Q: What can be concluded when integral test is applied to the following series? 1 (2n + 1)3 Select one:…

A: The given series is: ∑n=3∞1(2n+1)3 Let, an=1(2n+1)3, n≥3

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A: Apologies for the inconvenience. Here is the proper solution:   We will need the limit definition of…

Q: ASK YOUR TEACHE Find sets of parametric equations and symmetric equations of the line that passes…

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Q: The position of a particle moving in a straight line is given by s) = - 8² + 28t, where s(t)…

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Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the function…

A: Here we will find the cost of producing 201st through 260th dress,

Q: Convert the equation, 5r csc(0), from polar coordinates into rectangular coordinates. Hint: Enter an…

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Q: 2. Two ponds are connected and fed by a single stream flowing through them. Pond A holds 500, 000…

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Q: Set up and evaluate the integral for finding the area and moments about the x- and y-axes for the…

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Q: A particle is moving along a straight line such that the distance traveled (in feet) afte t seconds…

A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

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Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: Determine Y for y= 5x²(1 + x²).

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Q: Determine whether the following series converges or diverges. 5 Σ 5n2+5 n =1

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11

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Q: 5n+5 Determine whether the series Ln=1 n+1 is convergente or divergente.

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Q: Use the Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: Find the direction cosines and angles of u and show that cos a + cos B + cos? y = 1. (Round your…

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Q: Consider the following. u = 3i - j- k, v = -i + 5j + 7k %3D (a) Find the projection of u onto v. (b)…

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Q: Consider the following. u = 3i - j - k, v = -i + 5j + 7k (a) Find the projection of u onto v. (b)…

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Q: An appropriations bill passes the U.S. House of Representatives with 59 more members voting in favor…

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Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: We have to find the total cost.

Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

A: Given problem:- Use a double integral in polar coordinates to find the volume V of the solid bounded…

Q: If L is a line in 2-space or 3-space that passes through the points A an B, then the distance from a…

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Q: 1. f(x) = Vx , g(x) = 9 - x² %3D 2. flx) = Vx , g(x) = х-2 3. f(x) =, g(x) = Vã

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

A: Solve the following

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A: Here we have to determine whether the given function is continuous or not.

Q: Зx+2 xp- 1-25x2

A: Given

Q: 5-e* 2x

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Q: Problem 5 Find the general solution of the following equation: y" + 2y'- 15y = 0. Find the…

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Q: For each of the following series determine for series convergence or divergence. (a) Ratio Test: E…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: g is defined by g: [0,1/1] → R

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Q: p(x, Y, z) 4 – x2 – y²

A: Given problem:-

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Q: Find the direction cosines and angles of u and show that cos? a + cos2 B + cos2 y = 1. (Round your…

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Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

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Q: dz (a) Find of the following functions: dx 2+1 +cos y? = sin(y'+ 22z) COS 7 ZX %3D

A: Solving

Q: 2 - y 3. Consider the lines defined by the equations &3 : x – 1= 3 – z and l4(s) = (1 – 2s, 4s, 1 +…

A: Given problem:-

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Q: Consider the following lines defined by I,: x – 3 = y – 5 = z – 6 and I2(t) = . c) Determine if the…

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Q: Find u v, u u, ||v||, (u v)v, and u (3v). u = (3, 11), v = = (-4, 3) %3D (a) u. v (b) (c) ||v||2 (d)…

A: Given: u=3, 11, v=-4, 3

Q: 4. Given that ! n+1 0.47199 determine the value of " +1

A: Here we have to find the given value.

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: 1 1+ 2023 x If 1+- then the value of %3D

A: Answer is 2024.

Q: (c) Determine whether the following function continuous at point (0, 0). Justify your answer. x²-xy…

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

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Q: Solve the equation: (2r – xy? – 2y + 3)dx – (x²y + 2x)dy = 0 x4 – 2ry? – 4xy + 6x = c O x* - x²y² –…

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