Find x' for x(t) defined implicitly by x +tx+t* -8= 0 and then evaluate x' at the point (-2,2). x' = x'(-22) (Simplify your answer.)

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A: Solution given below

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Q: Question 3 Integrate: 1₂ 2x + 11 x² +8x+17 dx + C

A: Here we have to calculate the given integral. We have ∫2x+11x2+8x+17dx

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Q: Exercise: Graphing a Function with a Horizontal Shift PDF Transcript for Exercise: Graphing a…

A: 21. The given function is: rx=x-42 To graph the given function.

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Q: The Demand function for Robots for you, Inc. model TPA482 is given by D(q) = -0.0008q² -0.07q+23.18…

A: Given :

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Q: 27. Which of the following differential equations corresponds to the slope field given below?

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Q: The Demand function for Robots for you, Inc. model JNC794 is given by D(q) = -0.0006q² - 0.08q+23.23…

A: Average rate of change of function f(x) over the interval a,b is calculated using the formula…

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Q: X-9 है-3 √x h 2- X-

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Q: x= y^2 - 4y   x= y-y^2   find the area

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Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = 3x,…

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Q: 9. Let y=3x+2 a) typically we write points in this scenario as (x,y), not (y,x), why is that? b)…

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Q: 25. Which of the following series conditionally converges (−1)²+¹ (-1)" 4 n √n 1.Σ n=1 1 1. Σ III. Σ…

A: A series∑an is conditionally convergent if  ∑an converges and  ∑|an| is diverges.

Q: 4. Determine the value of k so that f(x) is continuous at x = 2. 2 k² - x², x < 2 f(x) = 1.5kx, x ≥…

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Q: / (=ts 11 - 4 sin (2)) dr =

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Q: Evaluate the integral of sec^5(x)tan^2(x)dx using trig integrals

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Q: (c) A certain radioactive substance initially weighing 100g decays at a rate given by A' (t) =…

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Q: Graph f(x)=arctan(x) a) Describe the graph in words. What is always true about the graph of f(x) ?…

A: Solve as given below,

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A: Given function P( t ) = 28.58 - 5.28lnt

Q: Determine the derivative of the function f(x) = ln(x45). Answer f'(x) =

A: f(x)=lnx45

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, F'(1) = -1,…

A: The formula for the derivative of multiplication of the function hx=bxgx is: h'x=b'xgx+bxg'x

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Q: Use the graph of y = f(x) shown to the right to graph the following function g. g(x) = -f - 1 (1 x)…

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3 2…

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Q: 6. y' = x - 4xy.

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Q: area under curve Integral calculus

A: here we have to find the area bounded by the curves.

Q: 2. Find the limit of the following functions a. lim (-3x² + 5x – 4) x-18

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Q: Given: sin theta = 4/5 and cos x = -5/13 ; evaluate the following expression. (: Quadrant I, x :…

A: Introduction: Trigonometric Identities are useful whenever trigonometric functions are involved in…

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Q: I still have a third part of my question I don't understand. I get the first two parts. I try to…

A: Yes you just need to do regular integration to get exact solution.

Q: Let f(x) = . (a) Find the derivative f' of f. f'(x) = 1 x-5 (b) Find an equation of the tangent line…

A: The given function fx=1x-5. We have to find the equation of the tangent line at the point -1, -16.

Q: Question 3. Using the substitution z = ln(y), solve zy +2ln(y) = 42²

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Q: Consider the function. f(x) = (5x + 4)² Step 1 of 2: Find all values of x that correspond to…

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Q: Calculate y' in each of the following functions.

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Q: 2. Consider the functions g, h: R → R defined by g(x) = x² and h(x) = x³ + 1. A. Evaluate f(g(x) ·…

A: g(x)=x2h(x)=x3+1∫xndx=xn+1n+1+c

Q: 22. A circle is growing, its radius increasing by 3 mm per second. Find the rate at which the area…

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