Optimization  area of  height= x , length= 21-2x , width= 5-2x  A= f(x) A= XY  what is the maximum, minimum and volume

Q: Minimum painting surface A metal cistern in the shape ofa right circular cylinder with volume V = 50…

A: Given

Q: Integrating Factor by Linear Equations: 9. +xcoty ecosy =

A: Given that a differential equations and we solve this differential equation by using integrating…

Q: Find the local and/or absolute extrema for the function over the specified domain. (Order your…

A: We find f'(x) using the quotient rule

Q: de V15+40-402

A: Evaluate: ∫dθ15+4θ-4θ2

Q: INTEGRAL CALCULUS Show complete solution (with graph) 7. What is the volume in the first octant…

A:

Q: A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of y =…

A: The given curve (y) of the graph is and the region is bounded by the curve y and in the interval…

Q: kg A tank that is 5 m long and 1 m high is filled with gasoline. The density of the gasoline is 769…

A:

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A: Given,

Q: (x, y) = (| relative maxima relative minima (х, у) %3D points of inflection (х, у) %- (smaller…

A: The given function is y=x1/3(x-8). The first and the second derivative of y is y'=4(x-2)3x23…

Q: Identifying homogenous or non homogenous functions.  Show your complete solution. when x=0, y=3…

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Q: S cscou du

A: To evaluate integral of ∫csc6u du

Q: Maximum t Minimum Values of function Pee- f(x) = X = 125x interval [0,23 on X +5

A: From the given problem:   fx=x-125xx+5 ; 0,23   Now differentiate the given function and equate to…

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: NOTE: Refresh your page if you can't see any equations. . to find the extreme point, take the…

Q: Maximum printable area A rectangular page in a text (with width x and length y) has an area of 98…

A: We will solve the following.

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: Given

Q: Find the area of the region bounded by the graphs of the given equations. y =x +3, y=x, x = - 1, x=…

A: Given equations are

Q: INTEGRAL CALCULUS* Show complete solution, please. 6. The first quadrant area bounded x^2 − 4x + y…

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = 3x - 12 ln(2x) on the…

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Q: Ssin^4ocos^30do; 0 < ¢ < Ti/2

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: 2 4х —3 x+4

A: Given: L=limx→∞4x2-3x+4

Q: Integral Calculus: Integration by Parts (Original method

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Q: 2) Example: Region R is bound by the function r(x) = 13x+11, the x-axis, and the vertical lines x=5…

A: The volume of the solid can be found by calculating the integral  V=π∫abf(x)2 dx In this case the…

Q: Basic integration rules Please show the complete solution. Show it step by step ∫ 2xdx/x2+3…

A: the given integral is: ∫2xx2+3dx we have to evaluate the given integral   let the given integral be…

Q: Finding the Maximum Rate of Change Verify that the function L y 1 + ae-x/b> a > 0, b > 0, L> 0…

A: Given :               The function y = L1+ae-xb   Here a, b and L are positiveTo prove :…

Q: a nd minimum 3. Find the absolute values for the function matimum the region bo bounded on (x you…

A: We have to find the absolute maximum and minimum of the function   f(x,y)=3y-2x2  on the region…

Q: v2 dv S- (а2-v2)2

A: Given that, ∫v2(a2 - v2)32dv

Q: Find the area (in square units) of the region under the graph of the function f on the interval [-3,…

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Q: Locate the relative extremum and point of inflection. Use a graphing utility to confirm your…

A: Given, function is Now

Q: Solution: 1. Critical Value = A Number of products to be tested %3D

A: The confidence level is 83% From the normal distribution the critical value be:   Thus, the…

Q: Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

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Q: INTEGRAL CALCULUS Solve the area bounded by the curves as described. Show complete solution (with…

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Q: Locate absolute extrema Question Given g(x) = = -2x- + x – 1, find the absolute maximum value over…

A: Absolute maximum or minimum of a function in a clsoed interval exist at a point where its first…

Q: x² + x – 2 - 2 dx (3x – 1)(x² + 1)

A: Given, ∫x2+x-23x-1x2+1dx We have to evaluate the integration,

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 − 12x,    [0, 6]…

A: To find the absolute extrema of the given function on the interval [0,6].

Q: 5. Find the extrema (absolute maximum / absolute minimum) of the function f(x) = x³ – |x² + 5x + 6|…

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Q: 2e^-x(4-x^2) Upper limit :10 Lower limit : -2

A:

Q: examples of basic integration using constant rule

A: Examples of basic integration using constant rule.

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A:

Q: f(x) = 2√3 x, g(x) = 2x − 4, y h(x) = 3x3. Encuentra el valor de cada expresio ́n. (a) (f ◦ g)(7),…

A: Given query is to find the value of the indicated function.

Q: points) Find the absolute maximum and minimum values of f(x) = 4x + x² + 6x + 1, if any, over the…

A: It is given that ,the function f(x)=4x3+x2+6x+1 ,  over the interval -∞,∞   we have to find the…

Q: absolute minimum value of the function f(x) =4x² – 8x+1 over the interval (0,5 -3 4 2 III

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Q: 9. True or False? Continuous variables, sometimes called measurement or quantitative variables, take…

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Q: 1. Find the net area 2. Find the area of the region above the x-axis bounded by y=100-x^2. Graph the…

A: This question is related to definite integral. we will use given information to solve it.

Q: (x³+4x) dx V1-x4

A: To evaluate  ∫x3+4x1-x4dx

Q: 5. f(x) = x* – 4x², x € [–1,|

A: If f(x) is the function, then critical values of the function is obtain by equating the…

Q: volume is described as follows: 1.  the base is the region bounded by y=4−4x^2 and y=0 2.  every…

A: answer is in next step.

Q: USING QUOTIENT RULE DIFFRENTIATE 2x-1 x+1

A:

Q: An area is enclosed by the curve y = 2x + x^2- x^3 and the x-axis. Find the 3 points area above the…

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Q: Separation of Variable Method Obtain the general solution

A: To find: The general solution of the equation. Given: The differential equation is dr=bcos…

Q: Exercise II: Profit Consider the function f(x) = 3 ln (x – 1) – 2x+7 on the interval (1, 0). Do not…

A: Given function: fx=3lnx-1-2x+7  Interval 1,∞ a). (1) limx→1+fx…