Find fif f'(x) = 8x³ + 16x + 6 and ƒ(1) = −3. Answer: f(x) =

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Q: If   C(t)=71.4te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

A: The concentration of drug in a person's system is given by the function:C(t)=71.4e-0.4t

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A: Find the centroid of the region cut from the first quadrant by the circle x2+y2=81.

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A: please see the below picture for detailed solution.

Q: 5) If f′(z) = e^z and f(0) = −3, find f (z).

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Q: Obtain the general solution of the following differential equations 6. xdy - ydx - √√x² - y² dx = 0…

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Q: [5-A] [CLO 12] The line ℓ passes through the points (−3, −4) and (5, 1). Give an equation for the…

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Q: A video store manager observes that the number of videos sold seems to vary inversely as the price…

A: A video store manager observes that the number of videos sold seems to vary inversely as the price…

Q: If   C(t)=50te−0.4t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours…

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Q: 1. The chart below shows the current speed of the Colorado River taken at different times throughout…

A: We have to find the average acceleration form the above table given.

Q: 136 SSSS 0 0 20 Evaluate the integral 5 cos (x²) 6√/Z -dx dy dz by changing the order of integration…

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Q: (c) Now find the exact values of a and b that satisfy the conditions in part (a).

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Q: Question 3 of 10, Step 1 of 1 Suppose that y varies inversely as the 4th power of .t, and that y = 4…

A: Given y varies inversely as 4th power of x  let proportionality constant = k

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Q: The region bounded by f(x) = −1x² + 6x + 27, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: B. Consider the following equation (x-3)² 5(x + 1)²(x-2) f(x)=₁ 1. The rational function above has a…

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Q: 1. S dx 2 3x +12x+15

A: Formula to be used I=∫1x2+a2dx=1atan-1xa+c

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Q: π 6x Find the linearization L(x,y) of the function f(x,y) = eº cos (7y) at the points (0,0) and 0,-…

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Q: If y = 2x³ + 5x and dy = dt 5 dx dt dy dt = 4, find when x = 3.

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Q: 2 få 8xclx o x4-8x²+32 3. f= 1/4 (1 + sinx) dx + 4. Find y if f (2x+7)dx य (1+ sinx) dx = In/ x² +…

A: (2). The given integral is: ∫02 8xx4-8x2+32dx

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Q: +31x gives the cost, in thousands of dollars, to produce x thousand items. C(x) = 0.01x³ -0.9x² +…

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Q: (12x-4)dx (3x+1)³(2x-2) 3

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Q: Resource Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and…

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