f(x) = { * ах 2 + ах —4, х> 2

Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: The product of two positive numbers is 2304. Find the minimum sum of the two numbers. O a. 88 O b. 7...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

A: Question: Find the absolute maximum value of the function over the indicated interval and indicate t...

Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: Solve the optimization problem. Maximize P = xyz with x +z = 18 and y +z = 18, and x, y, and z 2 0. ...

A: NOTE: Refresh your page if you can't see any equations. . the first constraint is  . the second co...

Q: Solve for the maximum and minimum values for ∫(x^3−2)/3dx. (Upper limit is 1 and lower limit is -2

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Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

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Q: 11. sec(x) /sec(x)+ tan(x)dx

A: Topic:- integration

Q: 15-28 Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and m...

A: Maximum and minimum

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: Area of circle is πr2 and area of equilateral triangle is √3/4a2  

Q: Discuss the continuity of the function g(x) = 1/(x^2-4) on the interval (0, 2] and [−1, 3].

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Q: dx Evaluate 6e* cos (3e *) -In |sec(3e ) – tan(3e |] + C O 2 [In |sec(3e-x) + tan(3e-)|] + C -18 [In...

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Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 25 m/s, its height (...

A: topic- derivatives and functions

Q: Evaluate: * Sx² – 3 (2х - 3 x 2 f(x) =

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Q: sec3(In x) + sec²(In x) tan(In x) dx Given: 2x Find: du V sec (In x) + sec²(In x) dx tan(ın x) dx ta...

A: On solving this we will get

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Vx sin/x Find: Formula 0 2 fsin u du 2 | sin u du | sin u du Sesc u du

A: We have to choose the correct option according to the given options

Q: Estimate the area under the graph 1 of f(x) = from a = 5 to x2 +1 b = 13 by using n = 4 rectangles o...

A: The given function,   f(x)=11+x2 from a=5 to b=13 by using n=4 rectangles

Q: Integration by parts is based on what differentiation rule? Explain.

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: The given function,       19 cosπx

Q: dy :-y = xy2 dx

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Q: secx 7. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

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Q: The graph below is the function f(x) 4- 2. 4 8. |10 -7 -6 -5 -1 -- 10 -9 -8 -4 -3 -2 -2

A: Topic = Functions

Q: Determine the end behavior of the following polynomial functions. (That is, does f(x) increase or de...

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Q: implicit differentiation to find the equation of the tangent line to the function defined implicitly...

A: Topic = Functions

Q: y y = 2 2 1 y = 1 → X п/2

A: The given question has been solved in detail. 

Q: х — 1 f(x) = }3x – 3 (-4x + 3 x 3

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп ...

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Q: Evaluate the integral tan 4x dx tan? 4x - 24 nltan- O inltan 4x + Vtan? 4x – 24| + C 1 Arcsec tan 4x...

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Q: Find the value of a that will make the function continuous at every real number. x 2

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Q: 45-56 Find the absolute maximum and absolute minimum values of f on the given interval. 45. f(x) = 1...

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Q: Find all solutions to the following first-order differential equation.  Make sure the solution set d...

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Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)

A: Use the properties of natural logarithms to simplify the function. f(x) = ln(e4x) − 2x − ln(1)  

Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y....

A: Given query is to find area under the curve.

Q: Evaluate the integral dx 2x3 - 3x x |/3x - /2 2/2"V3x + v2 1 +C O 16V2 + V3 In 3 |/2 - 3x +C In +C 2...

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Q: 3 1 y = log| cos DIFFERENTIATE THE GIVEN:

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Q: What is the balance after 1 year in an account containing $1000 that earns a yearly nominal interest...

A: This question can be solved using the concept of compound interest.

Q: Solve the absolute value. 2 – 2x + 13 = 5 then x = Enter your solution(s) as integers or reduced fra...

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Q: tan(e-x) dx Given: ex Find: du e-Xdx - e*dx O -e-×dx xp, O exdx

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Q: dx Evaluate -1 x2 - 0 -2

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Q: A 12-lb weight stretches a spring 2 ft. The weight is released from a point that is 1 ft below the e...

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Q: 1. Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 4x - y subject to th...

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Q: . A function f(x) that is discontinuous at a point x = a in its domain may still have a limit that e...

A: Find your answer below 

Q: Which among the following is an improper integral? 1 A x[In?(3x) – 4] Inx x[In*x- 1] ` .0.5 1 dx -0....

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Q: HON 3 tan(e-*) dx Given: ex Find: du O e-*dx O -e-Xdx exdx O - e*dx

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Q: Assume that sin(z) equals its Maclaurin series for all x. Use the Maclaurin series for sin(72) to ev...

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Q: (a) Solve the following: 1 (i) 2-6: 8

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Q: Exampi r(x) = (/2x + 1 - x²)-1 %3D "(x) =

A: Given query is to find the derivative of the expression.

Q: Solve the differential equation with appropriate method. Finalize answer free of fractions in each t...

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Q: Evaluate csc?x cot(cot x) dx. O -In |sin(cot x)| +C O cot(csc?x) + C O - csc?(cot x) + C O In |sin(c...

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