Find the derivative of the function using the Chain Rule. 6 GGx) = (y-2)² (y² +4y)* 2

Q: 1 f (x) = (z²3) find domain ○ (-3, ∞0) O (-∞, -3) O (-∞0, 3), (3, 00) none of these answers

A: Given query is to find the domain of the function.

Q: Lett be the number of years since farming began in a region. The number, N, of acres of harvested…

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Q: Calculate g(4) and g'(4) where g(x) is the inverse of f(x) = (x² + 6x)¹/² in the domain x ≥ 0. g(4)=…

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Q: Consider the following. f(x) = 2x√√√√x-x² Use technology to estimate the absolute maximum and…

A: Introduction: the absolute extrema are nothing more than the largest and smallest values that a…

Q: f(x)= x³ 4x² + 3x +1 determine if this function is odd or even? it is an even function it is an odd…

A: A function y=f(x) is said to be an even function if it satisfies the condition f(-x)=f(x)   A…

Q: Use the given function f to answer parts (a) through (f) below. f(x) = log (2x) (a) Find the domain…

A: The given function is f(x)=13log(2x) We have to find  the domain,range, graph of the function. Note:…

Q: Use the Chain Rule to find the indicated partial derivatives. R = In(u² + v² + w²), U = x + 5y, v =…

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Q: Sorry I can't see the solution it's too messy, could you please write the answer part again please

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Q: Let f(x) = 6 sin ¹(x²). Then f'(x) equals 12x √1-x² 1 1- x4 6 /1-x² 12x cos−¹(x²) 12x √1 x4

A: The objective is to find the derivative of f(x).

Q: The centroid of any triangle is located at the point of intersection of the medians. Recall that a…

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Q: Evaluate the following limit: 2x²-xy-y² lim (x,y)-(1,1) x² - y² (Hint: factor both the numerator and…

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Q: Determine whether each of the equations in Problems 1 through 8 is exact. If it is exact, find the…

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Q: etermine if the pairs of vectors below are "parallel", "orthogonal", or "neither". a = (3, 5, -5)…

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Q: Write an equation (any form) for the quadratic graphed below: -5 -4 -3 -2 -1 y = 5 4 3 2 1 -1 1 2 3…

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Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by fat a. x f(x) = cos x, a = 3 Po(x)=…

A: The given function is: fx=cosx, a=π3  To find the Taylor polynomial of orders 0, 1, 2, and 3…

Q: Consider the following function. f(x) = (x-3)3 (a) Find the intervals where the function f is…

A: According to question,Given Function,fx = x-33

Q: 1. A curve passes through the point (0,5) and has the property that the slope of the curve at every…

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Q: Plot the point with the given polar coordinates. (−3, — ) 0 0 0 0 ਜੋ --

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Q: Fill in the multiplicity table with the provided graph or factors. 6. 19 7. 5 Fy N

A: here we have to find the multiplicity of the roots.

Q: Find the equation of the specified line. Through (1,7) parallel to x - 7y = 7 y(x) = ?

A: Topic = Coordinate geometry

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: The given acceleration a→t=5t, 5sin t, cos2t and the initial velocity and position vectors are…

Q: Find the slope of the tangent line to the graph of the function y=f(x)=−7.5x^2at point x=3 Your…

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Q: Find the derivative of the function. f(0) = cos(0²) f'(0) = -sin (0²) X

A: Given: f(θ)=cos(θ2)

Q: Evaluate the integral. cos y dy sin 2y + siny - 6 cos y dy S sin 2y + siny-6 (Type an exact answer.)…

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Q: Given that f(−3)=2 and f′(−3)=4, find an equation for the tangent line to the graph of y=f(x) at…

A: Given query is to find the equation of the tangent line.

Q: -6 -5 -4 -3 -2-X -6 -5 3 A = 2 The graph above shows the function f(x). The graph below shows g(x).…

A: The graph of fx is shown below. The graph of gx is shown below. gx is the transformation of fx.…

Q: Find the surface area of revolution about the y-axis of y = 8 - 2x² over the interval 0 ≤ x ≤ 2.

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Q: Verify the given linear approximation at a = 0. Then determine the values of x for which the linear…

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Q: e5( A one-product company finds that its profit, P, in millions of 3n² + 48a 4n+ 2an+ 290, where a…

A: Given function:- Pa,n=-5a2-3n2+48a-4n+2an+290

Q: Calculate the cross product assuming that u xw = (-4, -8, -3) (2u + 3w) x w = (000)

A: We need to find out the cross product.

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

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Q: Let ƒ(x) = Tangent line: y = = X 10 2x + 5* Find an equation for the tangent line to the graph of…

A: Here , we have given a curve now we have to find out the equation of tangent line to the curve at…

Q: Find dy at x = -1 if y=u³ +5u-4 and u = x² + x. dx

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Q: 1. Problem Integrate •[5z-sin (²) dz

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Let y = 3x² + 5x + 2. Find the differential dy when x = 3 and dx = 3 and dx = 0.1 Find the…

A: To find the differential with given values of x and dx.

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Find the derivative of the function. f(x) = (2x − 4)4(x² + x + - + 1)5

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Q: Find the volume of the solid that results when the region bounded by y = 3 + 2x - x², y = 0, and x =…

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Q: Write out the first 3 terms in the Maclaurin series for e³x.

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Q: Consider the functions z = 5e* Iny, x= In (u cos v), and y = u sin v. dz (a) Express du dz ди and…

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Q: Determine whether the equation is exact. If it is, then solve it. 9t dy + (9 In y + 5)dt = 0 Select…

A: standard form of exact equation Mdx+Ndy=0this is excat if  ∂M∂y=∂N∂xsolution is ∫Mdx+∫(terms of N…

Q: Given that lim f(x) = 4 X-2 lim_ [g(x)]³ X-2 lim F(x) X-2 find each limit, if it exists. (If an…

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Q: Find the equation of the tangent line to the curve y = 4 sec(x) - 8 cos(x) at the point (π/3, 4).…

A: SOLUTION-

Q: 3y-2 dy 2y+1

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Q: the az əs az || Rüle to find dz/ds and dz/dt. x = s cos(t), x = s cos(t), z = x²y⁹, y = s sin(t) 1

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

A: Given sequence is      an= -1nnn+7 The sequence is convergent if limit at infinity exists. Now,…

Q: Put the equation y y = (x − h)² + k: Answer: y = = x² + 2x − 3 into the form -

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Q: You are given the graph of a function f. Determine the intervals where f is increasing, constant, or…

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Q: Find d^2 y/dx^2 in terms of x and y. 5 - 2xy = 7x - 3y

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Q: Hello, can you please help me implicitly derive (dy/dx) : x*e^y = x-y

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