Find f'(x) and find the value(s) of x where f'(x) = 0. f(x)=2 X x +36

Q: Find the length of the indicated portion of the curve.. r(t) = (7 cost) + (7 sin t) + (√51) k. Ostst…

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Q: solve using The Method of Partial Fractions

A: x−2−3​+x−35​Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: need help understanding please help  Question 1 Find the volume of the solid obtained by rotating…

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

A: Answer ∫(2x−3)(x2+1)13​dx=2ln(∣2x−3∣)−ln(x2+1)−3tan−1(x)+C…

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A: 2x2​+3x−3ln(x)​+328ln(x−3)​Explanation:

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A: The slope of a line passing through the points  is given by the formulaThe Tangent line to a…

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A: The length of the given parametric curve from  t = 0  to t = 7pi  is42πExplanation:Given parametric…

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

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Q: Find the angle of intersection, in radians on the domain 0 <t≤, to two decimal places.

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A: ​The required volume is, V=368π​ unit3​Explanation:Step 1:​Region is bounded by…

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A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: C. Find the equation of the plane that passes through the points A(1,-1,1), B(1,2,0) and C(0,1,-1)

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Q: Find the equation of the tangent line to the function f(x) = In(6x) at x = 6. (Use symbolic notation…

A: f(x)=ln⁡(6x) at x=6f′(x)=ddxln⁡(6x)Using the chain…

Q: Problem #3: Consider the following function. f(x, y) = x3+18xy-912 (a) Find the critical points of…

A: (a):  (c) (0,0), (6,-6)(b): -324,324(c): (E) Saddle point , Relative minimum Explanation:

Q: 1. Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

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Q: Vector-valued functions (VVF) VVF Point P t value (for point 1 r(t) = ½ t²i + √4 − t j + √t + 1k (0,…

A: To solve the problem, I'll write MATLAB (Octave compatible) code to plot the vector-valued function…

Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

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Q: Exercise: Solve the equation d²y dx² + y = tan x

A: The given differential equation is

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A: Note- As per company guidelines for a question posted we are allowed to solve first three sub parts…

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec sec³ (9x) dx

A: Given Indefinite integral as follows

Q: The graph of g′ is given below:  Answer the following questions about the graph of g based on the…

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Q: You are told that f(x) is everywhere continuous, passes through the point (8,5) and that f(x)+8 lim…

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Q: Given cot(y) = x, what is dy/dx?

A: dxdy​=−1+x21​Explanation:

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s +…

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Q: Problem 8 Solving the differential equation with a variable term and a variable coefficient dy/dt +…

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Q: Find dy dx if y = √Inx +1. 1 dy dx 2 x √In(x)

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: A.…

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A: Du​T(2,4,4)=−116511​​Explanation:Given that T is inversely proportional to the distance from origin.…

Q: For the function f(x)-4+ 12x²-x³, find the local extrema. Then, classify the local extrema using the…

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Q: Evaluate fim x+

A: We will find the limit.

Q: 3. Use implicit differentiation to find and (a) xy+yz = x2 (b) xyz = cos(x + y + z) (c) xy² 23 +…

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Q: (a) | (x+ h)² = x²| 0 V V (b) | (x+ h)² = x²| < 3h, where h<0 5 97 80 50 זיייייייייייין +

A: a. x∈(−2h,h) b. x∈(h,−2h), where h is negative.Explanation:Approach to solving the question:Detailed…

Q: მ2 Use the chain rule to find 3 and 4, where 8s5t, y=5s + 6t = x² + xy + y², x = 8s + 5t, y First…

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Q: No hand written responses. Please provide a step-by-step breakdown for each step in laymens terms…

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

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Q: An equilateral triangular plate with sides 4 m is submerged vertically in water so that the base is…

A: An equilateral triangular plate with sides   4 m is submerged vertically in water so that the base…

Q: dy Use implicit differentiation to find without first solving for y. dx -16x³ + 4x16y+y₁ = 77

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Q: Solve the following initial value problem for r as a function of t. dr Differential equation: =(2…

A: Given:To find:r(t)

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A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

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Q: Consider f(x) = x² - 9 x 3 x f(x) x f(x) 2.9 5.9 3.1 6.1 2.99 3.01 2.999 3.001 2.9999 3.0001 Looking…

A: F(x)=9full answer is given belowExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Find к for the space curve K(t)=☐ (Type an exact answer, using radicals as needed.)

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Q: Given that f(x) Lπx) dx = 6 and [F(x) (a) L₁ F(X 0 f(x) dx f(x) dx = 9, evaluate the following.

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Q: Evaluate the indefinite integral. sec²(√x)dx

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Q: The function f(x)- is concave down on which interval?

A: The function f(x) is concave up on the interval I if f"(x) &gt;0 for all x in I.The function f(x) is…

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: ym 2x²+2x+3 4x-4x

A: The given function is:Find it's horizontal asymptote.