What is the approximate error in the volume and surface area of a cube of edge 2 feet if an error of 1/8 inch is made in measuring an edge?

Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: Question 11 > A 25-year-old woman burns 250 – 30t cal/hr while walking on her treadmill. Her caloric…

A: Calories decrease = calories intake -burned calories

Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: 2. Find and classify all the critical points of f (x,y) = 2x – 9y – xy + x² + 5y².

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Q: 12) Find the equation of the ellipse that has one focus at (0, -5), and the length of its minor axis…

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Q: Consider the functions below. f(z) = VT – I g(z) = r² +1 Find each of the following, if possible.…

A: Given query is to find indicated composite function.

Q: Evaluate the definite integral. i+e"j+t – (e~1 – 1) j + 5 i-ej+: (e – 1) i – (=" – 1) j + -1)j+극k i+…

A: We have to find the solution of  integral

Q: Determine the principal P that must be invested at rate r= 3%, compounded monthly, so that $500,000…

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Q: A hot pie is taken directly from an oven and placed outdoors on a porch table to cool on a day when…

A: Solved below.

Q: Select a scatter plot of the given data. 4% 6% 8% 10% 12% 14% t 28.01 18.85 14.27 11.53 9.69 8.38 90…

A: topic - exponential decay function

Q: 12x° + 45x + 100x + 8 and classify them using a Find the critical numbers of the function f(x) :…

A: Solution: f(x)= -12x5 +45x4 +100x3 +8

Q: Find the equation, in slope-intercept form, of the tangent line to the curve defined by the given…

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Q: -8x+18 f(z) 9(z) The partial fraction decomposition of can be written in the form of 8x2 + 14x + 3…

A: Here we have to solve the problem by using the concept of partial fraction to obtain the desired…

Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: You want to construct a box whose height is twice the base length.  The material used to build the…

A: Here, let h be the height, l be the length and w be the width of the box. Then given that height, is…

Q: Tutorial Exercise Determine whether the series is convergent on Š1+ 10" n=1 Step 1 The series 1 +…

A: To solve the following problem

Q: Find the equation of y, given the derivative and the indicated point on the curve. y = dy = 2(x-1)…

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: flx) '(^) f'18)= xcas (28)

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Q: f(x) = {x² + 4, x > 1 (4х + 1, х < 1 at a = 1; (1,2) ||

A: From the given, to determine whicch of the following statements is False.fx=x2+4, x≥14x+1, x&lt;1 at…

Q: Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the…

A: Given :logc5xy

Q: The functiof(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept is…

A: Solution: f(x)=x-2x3 a) Domain :  take the denominator and compare it to zero x3 =0 =&gt; x=0

Q: omplete the table for the radioactive isotope. (Round your answer to 2 decimal places.) Half-life…

A: We have to find out the amount

Q: Find the intensity I of an earthquake measuring R on the Richter scale (let I, = 1). Southern…

A: Calculate intensity I. Given I0=1, R=8.25 Richter scale Formula: R=log(I/I0)

Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

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Q: Complete the table for a savings account in which interest is compounded continuously. Initial…

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Q: .3 S cos³xVsinx dx

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Q: Find the limit. If the limit does not exist, type DNE. 2z – 2ry? = lim (1,9) → (-1,1)

A: We will find the limit.

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: Evaluate the function at the indicated value of x= 3. f(x)=log243* -5 5

A: To find the value of given function at x=3.

Q: Use the One-to-One Property to solve the following equation for x. Sx-1 = 27 1 3 8

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Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: continously compounded formula:A =P er tA=final amountP=Principal amountr=ratet=time (in…

Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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Q: (b) For the case a = 3, b = 4, and for the constant vector field F(x,y,z) = 4 1 + k , find the flux…

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15x +…

A: here i am giving my handwritten solution.

Q: the bot test to determine it the use tollowing series converges or diverges

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Q: Ha Determine Find the limit it Hie' sequence converges it the sequence Ean} converges or diverges an…

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Q: Sketch the region enclosed by y = e*", y = e", and x = 1. Find the area of the region.

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Q: Quesion IS The graph of f(x) is given below and F() = f(t) dt. -2 Find F(4). a) O 12 b) 06 c) O d) O…

A: Given problem:-

Q: The total cost to produce x handcrafted wagons is C(x)= 80 +3x -x +5x°. Find the marginal cost when…

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Q: dt F(x) = | 6+ 8t Find the interval on which the curve is concave downward.

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Q: FIND THE GIVEN DIFFERENTIA Non Exact Equation ( 2x* - y) dx + x dy =0

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Q: The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can 2632 be…

A: see below the answer and calculation

Q: Find all values x=a where the function is discontinuous. For each value of x, give the limit of the…

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Q: Find c > 0 such that the area of the region enclosed by the parabolas y = x - c² and y = c – a is 60…

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Q: Find the derivative of y = 4x 2 Be sure to include parentheses around the arguments of any…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 8. The average value of the function f over the closed interval [0, 3] is 4 and f (x) > 0 for all x…

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Q: Direction: Differentiate each function with respect to x. 4) f(x)= 4x-5x-3 5) y= 3x 6)

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Q: f(x) = x³ + 12x2 – 27x + 5 over each of the indicated intervals. (a) Interval = [-10,0]. 1. Absolute…

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Q: dx at x = dt dy - 22 – 2 and dt – 5 if y = 4. Find - dx dt

A: We will find the derivative.