Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places.) g(x) = 3 sin x, [0, ], 6 rectangles left endpoints approximation Area: right endpoints approximation Area: Need Help? Read It

Q: 4. (x² + y²)dx − 2xydy = 0

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A: 2. Given Integral,∫s4 + 81ss2 + 92 ds

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A: To find out the limit.

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A: To use trigonometric substitution to evaluate the integral. ∫x38+x2dx

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A: To find out the partial derivative.

Q: 23. Given the triangular numbers 1, 3, 6, 10, 15,... Find the 7th and 8th term of the series. a. 26…

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Q: Question 2 [ Given the function xye* f(x, y) = 2x³ +50y² a) Find the domain of f. b) Find exist. lim…

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A: Here we have to use the concept of partial derivatives

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Q: Find lim PHEL x² + 100-10

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A: The given problem is solved below in detail.

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Q: Which of the following is the partial derivativ with respect to x of the function f(x, y)= 4xy + 2x…

A: To find out the correct option.

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

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Q: The partial derivative of the function f(x, y) = 4x² - 3xy + 5y - e3x+8y with respect to y is:…

A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.

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A: The objective of the question is determine the limit existing.

Q: Question a) b) Let f(x, y) = 2√x - y²e-²xy + ²/3. Find fx and fy. Evaluate fxxy(4, -1).

A: Given: For (a),     ∂ ∂ x2x-y2e-2xy+2y=∂ ∂ x2x-∂ ∂ xy2e-2xy+∂ ∂ x2y=1x--2y3e-2yx+0=2e-2xyy3+1x    ∂…

Q: (z In z + 5)dz

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Q: x² dx (x − 1) (x² + 4x + 5) Si

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Q: Let Z=ellxy-56y and x = 56t6 + 6 and y =sin(s + 56). Use the dz дz Chain rule to find and Ət - ds

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Q: y'' + 8y' + 32y = 0, y(0) = 4, y'(0) = -24 y(t) = The behavior of the solutions are: O Oscillating…

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Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

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Q: Find f tan 0 de. ] a. C. - In sin 0+ C - In cos 0+ C sec² 0 + C - In sec 0 + C

A: Here we have to solve the integral.

Q: ZOOM Find the following for each problem: a) domain, b) x-intercept(s), c) y-intercept, d) vertical…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: The limit lim (x,y)→(-1,2) (x²y − 3xy²) = −8 - Select one: True False

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Q: a) Find the integral / r(t)dt. b) Find parametric equations for the tangent line to the given curve…

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Q: Ja Inadr

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Q: a. f(x)=(x-1)²-3

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 2x² sin x + 3y³ 3x³ + 2y² lim (x,y)→(0,0) if we approach along y-axis, we will get Select one: True…

A: This question is based on two variable limits.

Q: x - 4y = 26²

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Q: Problem 1 Let = (1,2,3), 7=(2, 2, -1), and =(4,0,-4). Find 27+ 4-w. Problem 2 Let = (1, 2) and =…

A: To express vector v as a linear combination of u and w.

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

Q: 3 +∞ √√√n4 - 2 4n³ + 5 n=2

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Q: If  f(x) = 4/x and g(x) = 6/x, find f(g(x)) and g(f(x))

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Q: f(x, y) = 6√√√x – y²e- - a) b) y²e-3ry + | co y Find f and fy. Evaluate fazy (4,-1).

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Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: 1. Let f(x, y) = y³ + x³ - 2/1y²-3x+30y. (a) Find all the critical points of f. (b) Determine…

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