If f is differentiable and f'(x)=x³-2x²-x+2, then fis increasing or

Q: 3. Let there be some a, b R such that f(a)ƒ'(a) = f(b)ƒ'(b) + 1. Show that f f(x) f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

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Q: 3. Apply the three conditions of continuity to determine if the function f(x) = 2x²+5x+2 x²-x-12 is…

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Q: 7. 8. 9. y = 2 Evaluate the integral x4 6x5 - 1 Evaluate 2 √ (9x² (9x² − 10x + 6)dx Find the area…

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Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

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Q: A sort of "decay" Suppose that newly-baked cupcakes are taken out of the oven which is set at 100…

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Q: Which of the following is not true about the curve * x² 2 y = (x-2)(x-1) The vertical asymptotes are…

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Q: 9. (20 pts) Find the area between (bounded) by the curves y = x² + 10x and y=2x+9.

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Q: 3) [ = + r³ + 2x² − 8x 2 dr

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Q: The Laplace transform of e erfc(√i) is? 1 a) √s (s −1) 1 √s (√s-1) 1 √s (s +1) 1 √s (√s +1) b) c) d)

A: As we know that erfcz=1-erfzand laplace transform of error function erfz=1ss+1and also we have the…

Q: Given the function defined by f(x) = 3x² - 4, find f'(2)

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Q: 46 0-25 A= ,0 01 Find all the eigenvalues of A. For each eigenvalue, find an eigenvector. (Order…

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Q: 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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Q: Please fix the mistakes that are in Red for me.

A: topic - application of derivatives

Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A: Given: A=4i−6j, B=i+7j and C=9i−5j Since you have posted a question with multiple sub-parts, as per…

Q: .. Consider the quadratic function y = 4-x². Using the limit definition, ind the derivative of the…

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Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

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Q: 4 The terms of the Maclaurin series of the function f(x) = - -x are given by

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Q: A balloon, leaving the ground 60 ft from an observer, rises 10 ft/s. How fast is the angle of…

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Q: The marginal cost function in a company is given by C' = 70 - 0.7x where x is the number of units…

A: Please see the below picture for detailed solution.

Q: 2. What details are used in order to analyze the polynomial function and analyze to sketch the…

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Q: 2 Let f(x) = 5x4 -/+8√x-3. a) Find f'(x). (b) Find an equation for the tangent line to the graph of…

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Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: 11. x² +1 Find +3x+1 -dx

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Q: Find the area of the region bounded by the graph y = sin x, y = 0, x = 0 and x =3π/2

A: Area of a region when strip taken parallel to y-axis is ∬dydx.

Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(x) = (x + 1)100 2. f(x) =…

A: 1. fx=x+11002. fx=x2+x102x+13. gx=x31-x4 Note:    Multiple parts are given, we are answer only three…

Q: SUBJECT

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Q: H H ED Ay H' I J' X

A: It is reflection about y axis

Q: If u = x² tan equal to (a) (c) x - y x + y - 2 + V² 2 X X -, y x + y x - y x² + y² 2 X - y - y² tan…

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Q: Find the values at which the points of inflection occur. (Use symbolic notation and fractions where…

A: The given function is f(x)=xx2+30.................................................. (1)…

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

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Q: Is it possible to Solve all the points with Finding Domain and Range y= sin x 2) y = cos x 3) tan y…

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Q: Find all critical points of f(x) = 3 + 12x - x² and use the First Derivative Test to determine…

A: Given function f(x)=3+12x-x2 To find critical points we need to differentiate the function f'(x)=0…

Q: Finding Surface Areas 1- Find the lateral surface area of the cone generated by revolving the line…

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

Q: D in one polar plane, plet the following points a.) (4, π/3) bi) (-3, - STT) d.) (21-77) 4 e) (-1.5,…

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

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Q: Consider the two by two system of linear equations a) Use the method of substitution to solve this…

A: Given :x+3y=75x+2y=-4

Q: Which of the following is ALWAYS TRUE about a function f? □ If f(x) is a rational function with…

A: Using definition of derivative

Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x

Q: in how many ways can we arrange the integers 1, 2, 3, 4, 5 in a line so that there are no occurence…

A: We use the principal of inclusion and exclusion.  For i∈1,2,3,4, let Ai ⊂Si be the set of all…

Q: . Find the integral [cos (3x - 2)dx

A: A detailed solution is given below.

Q: 1 6x² ex³ dx

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Q: if A= 2 L3 2 1 -2 31 3 The det (A) is

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Q: If f(x) = x'ex, find f'(x) and f'(1).

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Q: Q1/ choose a correct answer for each of the followings * 2 is a matrix then AT = [13]. √a² + b² 1 If…

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Q: In 2000, the population of a city was 154,800. The population had dropped to 112,700 by 2007. Find a…

A: We have to find the formula for A(t).

Q: If you evaluate the integral expression |2x-1|dx the result is Blank 1 (use fraction or decimal in 2…

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