A right circular cone has a radius of 2x + 5 and a height '3' units less than its radius. Express the volume of the cone as a polynomial function. The volume of a cone is 'V = 1/3 pi r^2 h` for radius r and height h. Enter r as pi. V (x) = , help (formulas)

Q: at point x0=1 ,x1=1 and x2=2 f(x)=sin(x)+(x^2)+xe^2 function crossing second Write down the…

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Q: Let f(x)=x² -3x+5. Show that the average rate of change of f (with respect to x) on an arbitrary…

A: Average rate of change = (f(b)-f(a))/(b-a) Instantaneous rate of change =f'(a+b/2)

Q: 3.82x5 – 3.23x³ + 1.73x² – 0.83x = 0 -

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A: We know that linear approximation (by using the tangent line to f(x) ) of f(x) at point (a,f(a)) is…

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A: The basic idea of optimization is to find the maximum or minimum of a function using the different…

Q: find the derivative of f(x) = (x²+4)(3x³ - 2x) at the point x = - 3[ use product rule] %3D B.

A: We have to find the derivative

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Q: Find the length of the curve. 33 x = 11t°, y =,, 0sts 3 33 t on 0stsv3 is The length of the curve x…

A: Ans: The length of the curve is 77

Q: Find two positive numbers with product 289 and whose sum is a minimum.   Enter your answers in…

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Q: 2. Squares of side a are cut from each corner of a 8 in x 6 in rectangle, so that its sides can be…

A: Question is solved.

Q: Find f(-3). -2 -4 www.analyzemath.com 1 O 2 Оз -1

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Q: Differentiate the function. 3. %3D In(x)

A: Given y=3ln(x)differeniatey'=ddx3lnxy'=3ddx1lnxApply exponent rule:  1a=a-1y'=3ddxln-1xApply chain…

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Q: data point at x1= 1, x2=4, x3=6 and x4=5 were used to estimate ln 2 with a third-order newtons…

A: To obtain the required polynomial equation, use the following Newton's divided difference…

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A: To find: The expression for the volume V of the box in the form of x. Given: The dimension of the…

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A: Given:

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=3−16xf(x)=3-16x, and the line…

A: GIVEN DATA: Triangle is bounded by the equation of line fx=3-16x                         line…

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Q: Assume that f is a polynomial and x = 10 is a critical number for f If f''(10) = -sqrt2 what do we…

A: A function y = f(x) has a critical point at (x, y) if f'(x) = 0 or f"(x) is not defined. But as we…

Q: 2. Squares of side a are cut from each corner of a 8 in x 6 in rectangle, so that its sides can be…

A: GIVEN: Rectangle = 8 x 6            square of side 'a' are cut from the corners of the rectangle.

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A: Given that, the volume of the box is 100 cubic cm, the material cost for the 4 sides is 8 cents per…

Q: ) A wire of length x is bent into the shape of a circle. Express the area A of the circle as a…

A: Length of wire =xgiven   So, circumference of given circle=x    Let radius of circle be  r…

Q: Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between…

A: Maclaurin polynomial of degree 4 is P4x=f0+f'0x+f''02!x2+f'''03!x3+f404!x4.

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Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−13xf(x)=7-13x, and the line…

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Q: Determine the concavity of f (x) = x* 6x2 12 x + 2. O a. concave downward (-o, 3) and concave upward…

A: Given,           The function is fx=x3-6x2-12x+2.To find: The concavity of the function.We know…

Q: Find the derivative of each of the following functions, first by using the product rule, then by…

A: NOTE: WE ARE ONLY ALLOWED TO SOLVE FIRST THREE PARTS. FOR REST ANSWERS, PLEASE POST THE QUESTION…

Q: cive of f(x) = 5(– 928 – 3z*) 13 -3x

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A: Given that x is the number of years since 1993 So 2001 means x=2001-1993=8

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

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A: Since, function is not clear so we assume fx=1x. We have to find the Newton's polynomial that…

Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: Over the Interval (1.5] Using ten Gpproxmatén 9 rectangles and right endpoints: Ln:

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Q: Differentiate the function y = (x + 8) In (x +8). y' = %3D

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Q: The integral factor transforms the equation from not exact equation to an exact equation

A: We use the definition of Exact differential equation to obtain the answer of the given question.

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A: Given, equation of line : y = -4x +2 And  The point : (8, 9) {outside the line}

Q: A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the…

A: Please refer to the image below

Q: find a root of an equation f(x) = xlog10x - 1.2 using bisection method when the initial interval is…

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Q: A box with an open top is to be constructed from a rectangular piece ofcardboard with dimensions 12…

A: The length of the cardboard box is (20 - x - x) = (20 - 2x) in. The width of the box is (12 - x - x)…

Q: Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Product Rule withƒ(x) = x2…

A: We have to find the derivative of the function: fx=x5 We have to find same derivative with product…

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Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

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