Approximate the area under the graph of f(x) = 0.03x* - 1.44x + 43 over the interval [3,7] by dividing the interval into 4 subintervals. Use the left endpoint of each subinterval.

Q: 4. sE dx = Inlxl- e* +C %3D (品)+c S(D-) dx =- Ialal + c 5. S2+*dx = 4 Ina Inixl 6. 2 In3

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Q: 6. Prove the following trigonometric identity. sin? x = cos x(sec x - cos x)

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Q: 5 (5y, + 1.5y)3 16.036 (5 + 2/3.25y.) INIM

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A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

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Q: 1. Find the area between y=x and y=x' from r%3-1 to x%-D1.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 6. Find the absolute maximum and absolute minimum of the function f(x)=x´e^ +1 on the…

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Q: COLUMN A COLUMN B 1. S(E-0) dx =- 4 In|x| + C A. 4x 3D B. 4* S) dx = 6V7 + c S(3vx + dx = D(x + 3) +…

A: Solution

Q: 8 Jcos xdx Scos xdx 10 12 Scos? xdx

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Q: 12. f(x) = x² (2x + 1)*(x – 3)* y-1) y² + 1 AR 13. 14. ya 12+ 4 x 15. y +2 x+ 1

A: 12) f(x)=x2(2x+1)3(x-3) 5 13)x=(y2-1)2/(y2+1) 14) y=[12x1/3+4x1/2]/x1/4. Repost the next part.

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Q: Find the general solution of the differential equation y" – 10y' + 29y = e-*

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Q: 2. Find the solution(s) to the differential equations: a. y"(x) + y'(x) - 6y(x) = 0 and b. y"(x) -…

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Q: 3. The position of a Roomba is given by the function s(r) = r –21² + 120r, where time, 1, is in…

A: In order to solve this question we need to get the velocity and acceleration function.

Q: Determine the absolute extreme values of f(x) = 5x – 10~/x on the interval [0, 16].

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Q: Provide what is asked for in each item. 23 with f'(x) = 3a (9 – a²) (9 – 3x2)2 54.x(x² + 9) (9 –…

A: Given problem:-     d. Make a table that shows the intervals where f is increasing or decreasing,…

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y? + z? = 14, (1,…

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Q: Which graph correspond to the vector field (r, – y)? 3

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Q: Preview Activity 1.1.1. Suppose that the height s of a ball at time t (in seconds) is given in feet…

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Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

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Q: Find the average value over the given interval. f(x) = x +x- 2: [0,4] The average value of f(x) =x…

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Q: raphs and Derivatives he given graph is the graph of f': the derivative of some function…

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A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

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Q: 2. On the wall of Mr. Piamonte's house, a 6-meter picture was hung so that its location is 5 meters…

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Q: A function f has f(10) = 23, f'(10) = 2 and f" (x) 10. Which of the following are possible values…

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Q: 2 For the function f(x) = -x', find f'"(x), f'"(0), f'"(1), and f"(- 1).

A: To find the double derivative for the given function.

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to be fenced in using two kinds of fencing.Two opposite sides will use…