Calculate the area between f(x) = 2x + 4 and the x-axis, between 0 and 4, you get:

Q: Consider the function y = (1x + 1)x. (a) Differentiate y by the product rule. (b) First, multiply…

A: (a) Differentiate y by the product rule as follows: dydx=ddxx+1x      =ddxx+1x+ddxxx+1      =1·…

Q: Find: Tx;Typ Txy Tyx,Txx yy T- Ln (X+2Y+32)

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Q: Find the area between the graph of y = x - 6x + 8 and the x-axis from x = 1 to x = 3.

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Q: Find the TOTAL geometric area bounded by the curve given by f(x) = x5 – x3 and the x-axis on the…

A: Given the curve is fx=x5-x3. Find the area bounded by the curve fx=x5-x3 and the x - axis y=0.

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 900t - 90t², where t is…

A: Given that the traffic flow rate is    rt = 500 + 900 t - 90 t2      The time taken 6 A.M. as t = 0,…

Q: y = 4/x2

A: The given function is y=4x2. Sketch the graph of the above function as shown below.

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: Find the total ancd neguon between x-axis and the gruph of y==X2 - 3X, -7sx52

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Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

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Q: Find the area between the curve y=(x-2)(x+3)(4-x) and the x-axis from x = -1 to x = 3.

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Q: area bounded by f(x) = 9x² – 2x + 1, the x-axis, x = -2 and x = 1

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Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: Estimate the area under the graph of f(x) = 0.5x2 + 1 over [0, 6] and n = 6

A: Given: f(x) = 0.5x2 + 1 over [0, 6] and n = 6

Q: Q1/ divide the area of (ABC) from point (P) and show the divide line B (3140, 3100) P (465.13,…

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Q: The area that lies between Z= -1.76 and Z= 0 is

A: Given  Z= -1.76 and Z= 0  We want to find P(-1.76<Z<0)= ?  Note: This probability value…