Graph the function and find its average value over the given interval. a. g(x) = -|x| on [-1,0] b. f(x) = x² – 1 on [0, v3] -

Q: eva dx

A: Given query is integrate the expression.

Q: f (x,y) =x³ cos y Given df (2, 1) дх of and (2, л). Evaluate ду

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Q: x cos x + sin x Find x sin x *xp-

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Q: y³dy Let y = 2 sin 0 %3D 4- y2

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Q: Suppose that f(1) = (2x – 5)°(5z' + 1). Find f'(x), and then evaluate f' atr= 2 and I = 2. f'(2) = f...

A: For the given function we find the Differentiation using multiplication rule as follows  -       If ...

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Q: The total cost of producing x items is given by C(x) = 246.74 + | 3t dt- Find the fixed cost and the...

A: The given problem is solved below in detail.

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Q: 4 2xdx х2 — 4х + 8

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Q: then the distance from a point P to the line L is equal to the length the component of the vector AP...

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Q: Problem Solving 1. Determine f(x) given that f'(x) = t* – t3 + t² +t – 1

A: Taking integrate on both side. 

Q: Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = ex...

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Q: The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the...

A: Find your answer below 

Q: 4 cV16-x² 3. Evaluate the integral L-rz(4 –- x² – y²)dy dx by first converting it to | /16-x² polar ...

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Q: Solve the initial value problem y" + y – 12y = 0, y(0) = a, y'(0) = -28. Find a so that the solution...

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Q: Find the Maclaurin polynomials of orders n= 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A: To find the Maclaurin polynomials of orders n=0, 1, 2, 3, and 4 and then to find the nth Maclaurin p...

Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by...

A: Here we will find the total US sales of bottled water from start of 2008 to start of 2010,

Q: Determining the average rate of change is equivalent to determining the slope of the to a function. ...

A: We will use the definition of slope of tangent.

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Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: 1 1B= (1 – i)10 + 40eš", and 1+ 1+i If A = 1+ C = log [2 + In(3 + 4i)] Solve for A + B + C. Reduce y...

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Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the x-...

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

A: The x-intercept is where a graph crosses the x-axis and the y-intercept is where a graph crosses the...

Q: Let P(-1, 1, 3) and Q(-3, 1, 5) be points in R3. Find the components, magnitude and direction angles...

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Q: Differentiating Exponential Functions Find the derivative of the function ex + 2 f(x) ex - 2 f'(x) =...

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Q: Suppose that f and g are integrable and that -1 f(x) dx = 5 h(x) dx = 4 7, dx = %3D Use the rules to...

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Q: Find the total differential of the function f(2, y,) : y + z' df = dæ + dy + dz (y+2)* (y+2)* y+z dz...

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Q: 3. Find the relative maximum and minimum values and saddle point(s) of the function, S(x, y) = 2a + ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: Given problem:-

Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations t...

Q: Alternative Minimum Tax The alternative minimum tax was created in 1969 to prevent the very wealthy ...

A: Given that,  

Q: 26. 2(0.1)5 + 2(0.1)6 + -…- +2(0.1)13

A: To Find: Sum of-       2(0.1)5+2(0.1)6+ .... + 2(0.1)13     NOTE :For r≠1, the sum of the first n+1 ...

Q: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: - y = x tan x

A: y=xtanxDifferentiate on both sidesThen  dy=dydxdxwhere dydx=ddx(xtanx)                   =xsec2x+tan...

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A: Given query is to find the points where tangent is horizontal.

Q: 2. Solve the following differential equations. (a) y' = x2 - xy +1. (Hint: Consider the subsitution ...

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Q: The function f (x) = 6x¬l for the interval (0, 2) has a local minimum. neither local minimum nor max...

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Q: Find all solutions to the equation on the interval 0, 27) : cos (a V3 - 2 * 47 3' 3 47 57 3 3 * 27 4...

A: Given query is to find the solution of the equation.

Q: C. How long is the ball in the air? i. Describe how you read that off the graph ii. Describe how you...

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Q: The marginal cost of producing the xth box of light bulbs is 3 + dollars per box. Determine how much...

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Q: Verifying a Tangent Line Approximation In Exercises 9 and 10, verify the tangent line approximation ...

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Q: (a) | (2x cos y + sin x) dx 6. */2 (b) I| (2xcosy+ sin x) dx dy

A: Solving integral 

Q: Use sigma notation to write the Taylor series about x = xo for the function. 9 In x; xo = 1 1 |(-1)*...

A: Take the derivative multiple times and observe the pattern then substitute in the formula for Taylor...

Q: Find all solutions to the equation on the interval 0, 27): cos V3 2 T 47 3' 3 47 57 3' 3 * 27 47 5T ...

A: Equation

Q: For the following series, test for convergence by the ratio test. 1 1 (-1)"n + (-1)"-1(n + 1) - ... ...

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Q: Let F(x) = | f(t) dt and G(x) = | g(t) dt, where the graphs of f(x) and g(x) on [0, 6] are below. 4 ...

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Q: Given the power series, calculate the interval as well as the radius of convergence. Identify where ...

A: ∑m=1∞ (3y+2)m2m2+m-1Radius of convergence:am+1am&lt;1(3y+2)m+12(m+1)2+(m+1)-12m2+m-1(3y+2)m &lt;1(3y...

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

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