Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using inter f(x)=x²-3x³ concave upward concave downward

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A: To find slope of a line tangent to the given curve at a given point. To make a sketch of this…

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A: according to question function is f(x)=x+4 x=1,2,3,4 f(1)=1+4=5 f(2)=2+4=6 f(3)=3+4=7

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A: Arc length of y=f(x) on a, b is  L=∫ab1+f'x2dx We have f(x)=lncosx given interval π9,π5

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A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

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A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

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A: We have given to find integral  ∫xe3x dx Let,  I=∫x e3x dx Using integration by parts ∫u dv=uv-∫v du…

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Q: -5 -4 -3 -2 -1 5 4 3+ 2+ 1+ -2- -3+ -4 -5+ ܐ 2 3 4 5

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Q: 5. Which of the following expresses √175 in simplest form ? a) 5√2 b) 5√7 c) 7√5 d) 9√5

A: Given that, the number is 175.

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A: Please see the below picture for detailed solution.

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Q: 10. Given two vectors u = [6,2] and v=[-2,1], determine the projection of u on v.

A: #10

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A: We need to solve D.E.

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A: ∫24x2+3x-6dx=∫24x2dx+3∫24xdx-6∫24dx

Q: Exercise. Find the curvat 1. R(t) = ti+t²j+t³k

A: R(t)=ti+t2j+t3k Curvature formula κ(t)=R'(t)×R''(t)R'(t)3

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A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

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A: To find the solution of the given differential equation.

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Q: Write the interval in set notation. [2, 6) {x | 2 < x ≤ 6} {x | 2 ≤ x < 6}   {x | 2 ≤ x ≤ 6} {x | 2…

A: Write the interval in set notation. [2, 6) {x | 2 &lt; x ≤ 6} {x | 2 ≤ x &lt; 6}   {x | 2 ≤ x ≤ 6}…

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A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

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