ƒ(x) = 8x¹³¹(x), find ƒ'(3).

Q: If-xy - 3+x=0 then find dy at the dx² point (-1, 4) in simplest form.

A: See the details solution in below

Q: Factor the following expression completely given that one of the roots is -6: w³+1w² - 44w - 84 =

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: Determine the critical points of the function f(x,y) = x2y2

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Q: Evaluate each of the following integrals. 15. f (32³+ 8z - 12) dz +72¹ + 12x Ans. 3 In (x + 3) - Inz…

A: To evaluate the integral.

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Q: Find the curvature of r(t) = √√6ti + e¹j + e¯ªk at point P(0, 1, 1). 1 4 X

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Q: II. For each of the following ellipses, find the center, principal axis, vertices, co- vertices,…

A: Concept: In mathematics, an ellipse is the location of points in a plane so that their separation…

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A: We need to find f'(x) where f(x)=3x+lnxx+3

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Q: 5 3. Consider the sequence defined by an (a) Is this sequence monotonic? Explain. (b) Is this…

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Q: a. f(x)=3x+4 7. (fog)(x) 9. (f+g-h)(x) b. g(x)=2x-5 C. h(x)=x²-1 8. (goh)(0) 10. (h+h)(-2)

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Q: a lim x³²-x² X→ I X-1 b) lim X- UT 5 4-1 (2x-1) (3x²+2x-7)(x²³-9x)

A: SOLUTION-

Q: From the given graph of 9, state the numbers at which a is IS Continuous and explain why? मेर -2 1 2…

A: Given query is to find the points where graph is discontinuous.

Q: 3. A man 5 feet tall walks at a rate of 4 ft/sec directly away from a street light which is 20 feet…

A: As per our answering guidelines we are allowed to solve only first complete question. I am solving…

Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 −…

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Q: 1. Determine whether or not the following relations are functions. If the given relation is a…

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Q: 2) Let f(x) = Find f¹. ax+b cx+d SONY urea!!! . What conditions on a,b,c, and d gaurantee that f¹…

A: Given:- fx=ax+bcx+d

Q: explain why the graph is discontinuous at x=1 1= { * 1 f(x) = X²-X IF X 1 if X = 1 X²-1 Sketch the…

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Q: K If f(x)=2x-4x+1, solve f'(x) = 0. X= (Simplify your answer. Round to two decimal places as…

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Q: Use the given zero to completely factor P(x) into linear factors. Zero: 1 + i; P(x) = x4 -8x³ +…

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Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

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Q: Find an equation for the tangent line to the curve given parametrically by x(t) = 3t sin at the…

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Q: Find the gradient of f(x,y,z)=xyz^2.     ∇f=_______ i+_______ j+ ________  k

A: We can solve as follows

Q: Find the critical points of the function g(x, y) = (x − 1)² + (y + 2)². List your answers as points…

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Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Topic- Application of derivatives. We are given, Worker pulls the rope to which plank is tied at a…

Q: Creating Evidence Based Conclusions Carly wants to build two identical pens next to one another for…

A: As third part is done here so we have to find remaining parts.

Q: (ii) Calculate the area enclosed by the outside edge of a practice running track which mas two…

A: We will divide it in 3 parts and then calculate the area of each parts.

Q: f(x) = = 100 - 2x, x + 2 [-102, 8]

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Q: 260 EXERCISE Evaluate each of the following limits. 1. lim x ln x. 2-0 Ans. *0. 1. 3. lim x csc 2x.…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 2) Use guessing to find particular solutions to the following equations. d) y" - 2y' - 3y = 2e 10…

A: By guessing to find the particular solution of the following equation. y''-2y'-3y=2et-10 sin t

Q: Rewrite sin (x + 117) in terms of sin æ and cos æ. Simplify your answer. 6 Enclose arguments of…

A: Given query is to find rewrite the expression.

Q: Draw the region(s) of integration and write the following integrals as a single iterated integral. […

A: Given :- ∫01∫0y2fx,ydxdy+∫1e∫lny1fx,ydxdy

Q: Find the direction N from P0(1,2) in which the function f=1−x^2−y^2 increases most rapidly and…

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Q: Consider the integral arctan(x)dx where Is a<bs. Making the substitution u=-2x, determine the…

A: Given, ∫abarctan(x)dx   where -π4≤a&lt;b≤π4

Q: The population of a city is 140,000. It declines continuously by 4% per year. Assuming this trend…

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Q: (coth²(x))

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Q: Find two positive numbers that satisfy the given requirements. (Enter your answers as a…

A: NOTE: Refresh your page if you can't see any equations. . the first positive number is x and the…

Q: 3) Compute the first- and second-order derivatives of the following functions. You are allowed to…

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Q: Use a graphing utility to graph the function. (Select the correct graph.) 8|x| x + 7 O -40 -40 f(x)…

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Q: Find the derivative of the function. 11 y = √ 11x + √ 11x + √11x

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

Q: Example: The total profit (in collars) from the Sale of. Cameras is P(x)=12x + 50-1000 Find. @the…

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Q: 7) Find the first-order derivatives of: (a) y = -7e (b) y=e-3r² (c) y = 2 (d) y = e ln(x² + 2) (e) y…

A: Use derivative

Q: IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x +7, and h(x) = = the following. Show complete…

A: To find the inverse of a function f(x) : Let y = f(x) Swap the variables x and y  Solve for y

Q: Find when dy dx x(t) 1. 2. 3. 4. 5. 6. dy dx dy dx dy dx dy dx dy dx dy || = tlnt, y(t) 1+ ln t 2…

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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