y = 5x – 6 tan x, concave upward concave downward

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A:

Q: 6.(Somewhat tricky) Use an appropriate substitution to solve: (a) dy y + x dx (b) (y³ + y?x) dx – x³…

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A: Given: f(x) = ex +2,    g(x)=6x+3

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Q: 25х3-9 3. x*

A: topic - integration

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A: I am attaching image so that you understand each and every step.

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A: Given query is to find indicated limit.

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A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

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Q: The graph of fis shown. Evaluate each integral by interpreting it in terms of areas. y y= fx) 6. 0.…

A: Given query is to find the value of the integral.

Q: V-2 Evaluate lim X8x2-7x-8 O 2/7 O None of these O 1/9 1 O 1/12

A: We have to find limit

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A: ∫xn dx =xn+1n+1+C ∫cos(ax) dx =1a sin(ax)+C

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Q: Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph…

A: Cylindrical shell Method : The Volume of the solid obtained by rotating about the y-axis the region…

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Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy Solve the differential equation. Choose your…

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A: Given query is to find indicated vector.

Q: 3. Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

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Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

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Q: Suppose that fand g are continuous and that f (x) dr = - 2 and g (x) dr=8 Find | [5f (x) +8 (x) ]dr…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z? (4,…

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Q: Decide if a direct comparison test can be used to determine convergence of the following series.…

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Q: Answer

A: As per policy, only first question is answered.  Please refer to the image below

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A: Work = Force × displacement

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A: Given query is to find the integral.

Q: Given the function below find the value of f(-4). * if x -5 2x² + 1 f(x) = O -67/16 None of these O…

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Q: Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A: Find your answer below

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Q: Solve eX = 6 for x. The solution is x2 (Round to four decimal places.)

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A: topic - implicit differentiation

Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

A:

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Q: Which of the following is not correct? 4dx 4dx A Jo Jx(x+6) = lim o Vx(x+6) C+ .3 dx .3 dx B h…

A: