Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) g(x) = 3x²-x³ concave upward concave downward

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Q: Solve (y³ + 2y² +9y+18) dx = (5x²y² x²y + 17x²) dy

A: integration using partial fraction

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A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

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Q: Part B The growth of a similar population was investigated after spraying a kitchen bench with Glen…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

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A: Here, the given DE is: dvdu=(u-v)2-2(u-v)-2...(1) Substitute u-v=p differentiating it with respect…

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A: solution is given below..

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Q: Evaluate f(1). b) Evaluate f(-1). c) Solve f(x)=2. d) Solve f(x)=-

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Q: 5y4+7=x4-3y; x=3, y=-2

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

Q: 3. State the components of a unit vector that is perpendicular to the vector = (5,2,−1).

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A: Given problem:- An investment of $40,500.00 earns 1.8% annual interest, compounded continuously. How…

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A: Here, the given lines are with the slopes m=0m=-34m=1

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Q: Is the following piecewise function continuous? if x < 0 0<if x < 3 if 3 < x f(x) = -3x² x - 3, . -x…

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Q: Suppose p′(−1)=−2 and q′(−1)=−5.5.  If r(x)=−7p(x)+10q(x), find r′(−1).

A: We have to find the value of r'(-1).

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Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

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A: We can solve this as follows:

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Q: Find the limit. (If an answer does not exist, enter DNE.) [1/(8 + x)]- (1/8) lim X→0 X -1/64

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Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

A: