If f (x) = -x, what is f'(2)? Type an exact answer. Provide your answer below: f'(2) =

Q: Evaluate the expression without using a calculator. log 8√√512

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Q: Determine a definite integral that represents the area of the region enclosed by r = 7 sin 0. •b…

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Q: Find the area of the part of the plane with vector equation r(u, v) = (6 + v, u - 5v, 9-4u + v) that…

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Q: 9. Suppose 0 < a <b, and Find the value of få f(x²)dx. A. 4 B. 2 C. 1 D. -5 [F(x²)dx=6₁ ["f(x²)dx =…

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Q: Question Find the derivative of f (x) = (−2x² + 2x +4) xª Do not include "f'(x) =" in your answer.…

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Q: Let F = 6xyi + 8y2j be a vector field in the plane, and C the path y = 72 joining (0,0) to (1,7) In…

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Q: 5. Find two antiderivatives of f(x) = x0.8 - 3e²¹ + π cos(2x)

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Q: Find the area of the region between the curve and the x-axis. f(x)=e*-6 from 0 to In 6

A: Tofind the area of the region between the curve and the x-axis.

Q: Solve the initial value problem below using the method of Laplace transforms. ty'' - ty' + y = 5,…

A: The initial value problem is given as,solve the problem.

Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: The given set is the set of points in space whose coordinates satisfy the pair of equations .The aim…

Q: Express in terms of logarithms without exponents. log(x³y4z)

A: Let,C=

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. S² dt

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.003t² +0.2t, where…

A: Given that in a memory experiment the rate of memorizing is given by  ,where M'(t) is the memory…

Q: Suppose the height of this motorbike's jump is given by h = -16t² +32.1t+5.7 where h is the height…

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Q: Compute the curl of the vector field F = -2z7+5yj - 8x k. curl =

A: To find the curl of the vector field .

Q: 256x The volume of a sphere is increasing at a rate of 3 cm³/sec. Find the rate of change of its…

A: The expression for the surface area of the sphere is:Where r is the radius of the sphere.The…

Q: Find the area under the given curve over the indicated interval. X5 y = 6x + 2x+5e; x = 1 to x = 3

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Q: Express your answer as a polynomial in standard form. f(x) = 2x² 5x – 12 - g(x) -2x + 2 = Find:…

A: f(x)=2x2-5x-12g(x)=-2x+2

Q: The function f(x)=x² +1, x ≥0 is one-to-one. (a) Find the inverse off and check the answer. (b) Find…

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Q: Find all points where the function is discontinuous. TO 16 NO NO 6 18 Ay

A: The graph of the function isTo determine: The points where the function is discontinuous.

Q: S 3 6x²4x³ dx 24

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Q: In 1619, the German astronomer Johannes Kepler showed that the square of the period of a planet (how…

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Q: 1-√x)³ 3 √x dx

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Q: Evaluate the double integral •x=√4-y L (x + y)dxdy by y=0Jx=1 (a) sketching the region of…

A: We have to evaluate the double integral  Then we have to answer the following...

Q: Given the graph of the function f (x) below, estimate the slope of the tangent line to the curve at…

A: The tangent line of a curve at a given point is a line that just touches the curve (function) at…

Q: Problems 1-10, multiple choice. 1. What is the average value of y = e* on the interval [2, 7] ? A.…

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Q: Suppose the equation 1 40 y = 22 models the height of an arrow where is the horizontal distance in…

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Q: Given f'(t) = -0.2t-e-t, compute f(4)-f(1).

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Q: 5 (x-2) n²+1 n=1 Find the radius of Convergence R₁ of the series. Find the interval of convergence,…

A: The given series is summation of(x-2)n/(n2+1), n from 1 to infinity.

Q: Using the function f(x)=cos(x), on the interval: 0 (less than or equal to) x (less than or equal to)…

A: The objective of this question is to calculate the Riemann sum of the function f(x) = cos(x) over…

Q: Find a parametric representation for the part of the cylinder y2 + z2 = 64 that lies between the…

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Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: To find the value of y, substitute the value of x and solve for y.To find the value of x, substitute…

Q: (a) The variable g|--Select---by (b) The variable g-Select---by Complete the following sentences.…

A: Given function

Q: Use the graph to evaluate the limit. lim f(x) X→0 6 Ay

A: Consider the graph

Q: x 1 (a) Sketch the graph off. (b) At which numbers is f discontinuous? (c) At which of these numbers…

A: The given function is .The aim is to find the a) Sketch the graph of the functionb) At which number…

Q: 6. Determine whether the following series converges or diverges. 1 Σ tan (√) n=1

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Q: x = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

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Q: X = = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

A: Consider the parametric equation

Q: Find the length of the spiraling polar curve 40 = 4e46 From 0 to 27. r = The length is

A: The given curve .The aim is to find the length of the curve from  to .

Q: 15 x² 3x 54 (Round the answer to four decimal places.) Find the area bounded by y = X- -, x = 3, x4,…

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Q: Find the center and the radius of the sphere. +z-3x+6z=0 x +y +z

A: The given equation of sphere is:To find the center and the radius of the sphere.

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: sinh(x) = 314

A: sinh⁡(x)=34sinh⁡x=12(ex−e−x)

Q: Question Given h(x) = tan(-x² + x), find h'(x). Sorry, that's incorrect. Try again? h'(x) = (2x -…

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Q: Suppose your newspaper is trying to decide between two competing desktop publishing software…

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Q: 7. Determine where fis discontinuous. Justify your answers. √=x if x < 0 3-x if 0<x<3 (3-x)² if x ≥…

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Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. 14 In (x¹4…

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Q: Time (secs) 0 30 60 90 120 150 180 Speed (mi/secs) 0.00 0.03 0.08 0.16 0.27 0.42 0.65 9. The table…

A: Given Information table is as follows

Q: If the birth rate of a population is b(t) = 2300e0.022t people per year and the death rate is…

A: The given data is:To find the area between these curves for

Q: Find the indefinite integral. [(e² + +6) dx = +C

A: We have to find the integration of