Find f'(x) and simplify. f(x)=6x5(x-9)

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Q: Are the areas of the two shaded regions below the same? f(x) = 1 (1+x²)2 y 1 1 0 I IT 4 g (0) = cos²…

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Q: For the function f(x)=x^4+3x^3−36x^2−68x+240, find the intervals where f(x)>0 but f′(x)5 C. x5

A: Given:To find:the intervals where f(x)>0 but f′(x)<0.

Q: A long solenoid with 1.50 x 10³ turns per meter and radius 2.00 cm carries an oscillating current I…

A: a)E=0.01865cos(90πt)V/mb)clockwiseExplanation:Step 1:Step 2:Step 3:

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A: f'(x) of the function:f′(x)=−40x+17 The equation of the line tangent of f(x) at x = 1…

Q: Given the equation below, find dy da - −12x+2x30y+ y² = −9

A: Given Equation is as follows General differential formula is given as

Q: If f'(x)=0 for all *, then a) f(x)=(x) for every x₁ x₂ c) f(x)>(x) for every x₁>x₂ d) f(x)>(x) for…

A: If  then which option is correct .

Q: Using Linear Approximation, estimate & for a change in x from x-ax=& f(x)=x, a=32, b=32.4 Comider…

A: The given function is

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Q: Website Profit The latest demand equation for your gaming website, www.mudbeast.net, is given by…

A: the log-on fee should be $1.15.Thus, the largest possible monthly profit is $321.25.Explanation:Step…

Q: ☐ ☐ 3. Find the volume of the solid formed by revolving the region bounded by the given graphs…

A: Answer Question (3) : Correct option is A Question (4) : Correct option is C  Explanation:Step 1:…

Q: #ind d²y/ dx²: y(x) = tan x

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Q: Suppose that  f(x) = 10x − 7 ln(x),      x > 0.  (If an answer does not exist, enter DNE.) (a)…

A: (a) Partition number of f′(x): x=7/10(b) Critical value of f(x): x=7/10(c) Interval where f(x) is…

Q: Answer the following questions for the function defined on the interval [-15, 17]. f(x) = x3 ૨૨ 16…

A: Explained in detail in the below.Explanation:Given f(x)=x2−16x3​ Vertical Asymptote is given by…

Q: A piece of cardboard measures 45 cm by 30 cm. Two equal squares are removed from the corners of a…

A: The objective of this question is to find the volume of a box that can be formed from a piece of…

Q: Pleasev don't provide handwritten solution ...

A: FINAL ANSWER: The series (∑n=1∞​n21+cos(n)​) is converges.   Thabk YouExplanation:STEP−1 To…

Q: Let the universal set R, the set of real numbers. Let A = {x = R | 1≤x6} ○ {xER|x6 } ○ {x ER 1≤ x…

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Q: Using: Higher order linear equation with constant coefficent / Homogenous Please Solve this equation…

A: The given equation is a third order linear differential equation with constant coefficients. The…

Q: 1. a) y = Differentiate the following and simplify: 2x3. (2x2 - 1 ) 3x²+1.

A: dxdy​=(3x2+1)630x(x3+x+1)(2x3−1)4​Explanation:

Q: b) As a spherical balloon is being inflated its radius (in centimeters) after t minutes is given by…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Let f'(x)=2x²+3x²-12x+4. Determine the concavity of f(x) on the interval 1 <x<2.

A: We need to determine concavitey of f(x).

Q: The curve y=f(x) is shown below. In which region(s) of x is f(x) increasing? A. −1<x<1, x≠0…

A: given a function f(x)

Q: nd the maximum rate of change of f(s, t) = test at the point (0, -3).

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Q: Evaluate the integral: 11√√x²-100 dx x4 (A) Which trig substitution is correct for this integral? Ox…

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Q: a) Find an equation of the tangent line, at the designated point, to each of the following: i) f(x)…

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Q: Find the points on the surface 5x² + 1y²+4z² = 1 at which the tangent plane is parallel to the plane…

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Q: Solve the following initial value problem: with y(1) = 9. y = dy +8y = 1t

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Q: I need help with this

A: Magnitude of all three required complex numbers are 52​Explanation:Approach to solving the question:…

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A: Given the region is bounded by the curve  and line

Q: can you solve this question for me please

A: The objective of this question is to determine whether each of the given integrals is proper,…

Q: Consider the following function: Step 1 of 4: Determine f'(x) and f "(x). 16x) = -1x-4x-8 f(x)

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Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: Find the directional derivative of the function f(x, y, z) = √xyz at the point (3,2, 6) in the…

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Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: Sh​(160,70)≈1.948 sq.ft./lbThis means that the rate at which body surface area increases with…

Q: Integrals of the form sin mx cos nx dx sin mx sin nx dx cos mx cos nx dx can be found using the…

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Q: Calculus One Problem. Please help. Thank you.

A: dxdy​=(5x4−10x)cos2x4+(x5−5x2−2)(−8x3sin2x4)Explanation:

Q: what is the volume of the solid formed by revolving y = 13sinx*cosx between x=0 to x=pi/2

A: Answer written in explanation Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use Linear Approximation to estimate Af = f(3.02) - f(3) for f(x)=sin(). (Use decimal notation. Give…

A: By using Linear approximation to estimate .

Q: Use the linear approximation of f(x, y) = 3x+2y at (0,0) to estimat f(-0.02, 0.03)≈

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Answers : A. fx​=6cos(2x+y)+5sin(x−y)B. fy​=3cos(2x+y)−5sin(x−y)C. fxx​=−12sin(2x+y)+5cos(x−y)D.…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: We need to find out the integration.

Q: Evaluate the integral. 1/2 7 cos²(6) de

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Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(1) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: If z = sin () and x = ln(u) and y = v4, find the following partial derivatives using the chain rule.…

A: Given that

Q: Solve the given symbolic initial value problem. y''+4y' +13y=38(t-л); y(0)=2, y'(0) =2 y(t) = ☐

A: The given differential equation

Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…