Find the higher-order derivative. f"(x) = 12x³ - 38x² f(x) = 72 X

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Q: Find the volume of the solid bounded above by the plane z = y, sides by the cylinder x2 + y2 = 16,…

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Q: Solve the problem. Evaluate 7 -5 -11 -9 dw dt at t = 5 for the function w(x, y) = x² - y² - 7x; x =…

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Q: 1-6 Evaluate the iterated in 1. (8x - 2y) dy dx

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Q: 1] Evaluate (a) -S (s²+1) ² {t sin (b) S 1/2 5² (s² +¹)² (d) S

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Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

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Q: b. Identify the function's local extreme values, if any, saying where they occur. f(x)=x²-8x² + 16

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Q: Find two numbers, x and y, whose difference is 77 and whose product is a minimum. (Answer as a…

A: The given two numbers x and y Given difference between two numbers is 77 Let product of numbers x…

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A: Point (-4,-6,5) We have to find coordinate passing through the point in the direction of j

Q: Use 6 rectangles to find estimates of each type for the following graph of f from x = 0 to x = 12.…

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Q: 2. Which of the following series converge? 00 1 LY n=1 II. Σ III. n=2 n√n n=13" (A) I only 1 1 nlnn…

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Q: Find a function f and a number a such that f(t) 2+19) d=6x³ dt t7 6x−3 a f(x) =

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

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Q: Maximizing Revenue The quantity demanded each month of the Sicard sports watch is related to the…

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Q: Compute y' for y=(x³ + Int+4e*) 12 Ⓒy²= 12(3x² + — + 40²) (¹²0 A y'=12 + +4e*(x³+ Inx+4e*) 11 B y=…

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Q: Evaluate the triple integral. SIS 5xy dv, where E lies under the plane z = 1 + x + y and above the…

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Q: 9) Find the critical points and identify their types as Min., Max., Saddle point, or neither. f(x,…

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Q: a) y' - 2xy = x b) y' + sin(x)y=sin(x)

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Q: Flight of a Rocket The altitude in feet attained by a model rocket t seconds into flight is given by…

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Q: use the parameter to write eah rectngular equation as a pair of parametric equation   y= x^2/4 +…

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Q: Which of the following represents the average function value of g(t) = et over [-7, 10]? 10 • L₁ e ²…

A: Given: g(t)=et We are required to find: Average value of the function g(t) over the interval -7,10

Q: Find the curvature of the curve r(t) = (5 cos (3t), 5 sin(3t), t) at the point t = 0 Give your…

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Q: Use the Fundamental Theorem of Calculus to find the derivative of F'(x) = [NOTE: Enter a function as…

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Q: Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P…

A: PV=CP=150 kPAdPdt=20 kPa/minV=600 cm3

Q: Use the like- bases property and exponents to solve the equation 5 (2) * = 640 X = ?

A: 5 (2) x = 640 Find the value of x

Q: 3. Determine the intersection (if any) of the following planes. Show your work clearly ₁: 2x + 3y -z…

A: Clearly the intersection point of the three planes will satisfy the three equations of planes.…