A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x)=2x+12, where x is the number of days since the start of the job. Find the expenditure if the job takes 3 days.

Q: (i) Find the derivative of the function. esin x COS X In(1+2v) dv.

A: To find the derivative of the following function.

Q: Determine the resulting definite integral after making the following substitution: Se dx where u=lnx…

A:

Q: Let f(x, y, z) = ey-z² X Find gradf(1, 1, -1) and G(x, y, z) = fyy- faz. УУ

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

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

Q: Combine the integrals into one integral, then evaluate the integral. 5 la-sa-fa-sa (7x-2) dx +6J (x…

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Q: For Evaluate the following expression. Select the correct answer below: ={ f(x) = 4-x-x² 2x1 lim…

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Q: Evaluate the improper integral O a.-2 O b. 1 042 C 3 X

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Q: Question Given the graph of f(x) below, Identify the graph of f'(x). Select the correct answer…

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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 F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2 8 de F(x) F(0) F(7) F(-/-)…

A: The given integral is .The aim is to find the values of .

Q: If g(x): = sin x, show that the remainder term in Taylor's Theorem converges to zero as n→∞ for each…

A: g(x): = sin x

Q: 500 feet of fencing is to be used to enclose a rectangular field.  The field is situated along a…

A: We need to find out the dimensions that will give the largest area.

Q: Question Suppose K(x) = f(g(h(x))). Given the table of values below, determine k'(0). x f(x) g(x)…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: A table of values for f(x) = x²-13x+36 x-4 O 3.7 X 3.7 f(x) -5.3 -5.2 -5.1 -5.01 -5.001 Use the…

A: Limx-4-13x+36)/(x-4)

Q: K Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -x…

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Q: Use symmetry and the fundamental theorem of calculus to evaluate the following integrals. Question 8…

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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: Determine the polynomial function, f(x), with the smallest possible integer co- efficients that has…

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Q: Consider moving a particle along a path given by r(t) = (e³¹, e¹, e³¹) with 0 ≤ t ≤ 1 subject to a…

A:

Q: Determine the x values where the following function is discontinuous Select all correct answers.…

A: The given function,The aim is to find the discontinuous points of the function .

Q: a(x,y) Solve the system u = x-y, v = 2x + 3y for x and y in terms of u and v. Then find the value of…

A: The system of equations  and   The function for x in terms of u and v is The function for y in terms…

Q: (b) log321 +2/og33 Answer: log3 189 ! No, that's only partially correct

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Q: 6. Find the first term (a,) and the common difference (d) for the arithmetic sequence: S5 = -105, a5…

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Q: For Questions 1 and 2, region R is bounded by f(y) = y²- 14 and g (y) = 2y +1. Which of the…

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Q: Find the combined area of the two regions bounded by the curves f(x)=e*-1 and g(x)=x²e¹-x² shown in…

A: Region is bounded by the curves f(x)=ex−1 and g(x)=x2e1−x3Solving for inter section…

Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine k'(-2). f(x) g(x) h(x) f'(x)…

A: xf(x)g(x)h(x)f′(x)g′(x)h′(x)−2−4−1046−7062−11−3820−5−8237

Q: A gardener has 920 feet of fencing to fence in a rectangular garden. One side of the garden is…

A:

Q: Find the area between the graph of f(t) = -2t for 0 ≤ t ≤ 4 and the t-axis using areas of triangles.…

A:

Q: Find the average value of the function f(x)=√ x over the interval [0, 4]

A: f(x)=x over the interval [0,4]Average value of the function f(x) on [a,b] is given asfave…

Q: The air in a room with volume 100 cubic meters initially contains .2% carbon dioxide. Fresher air…

A: The air in a room with a volume of 100 m3Initially contains 2% carbon dioxideFresher air containing…

Q: area under the curve ƒ(x) = x² + 2x + 6 from æ : Use the Method of Midpoint Rectangles (do NOT use…

A: The given function .The aim is to find the area under the curve using the midpoint rectangles in the…

Q: Let R be the region bounded by the graphs of IT y=2sinx and y = 2cosx fromx = 0 to x = . Which of…

A: Given that the region is bounded by the curves  from

Q: Approximate the area of the region bounded by the graph of f(t)= cos (t/2-/8) and the t-axis on…

A: The width of each sub interval is ( 9π/8 - π/8 )/4 = π/4We can calculate the height of each…

Q: The marginal revenue of the xth box of flash cards sold is  200e−0.003x dollars per box.  Find 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 patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees…

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Q: AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB a) √√3+5…

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Q: a) dx dy b) = dx c) = ln(x) ex dy dx = x² + e¹0x = yx³ if y(0) = 4 ifdy |x=1 = e² dx if y(0) = 1

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Q: Find the area under the given curve over the indicated interval. y = 6x² + x +4e4 ; x = 0 to x = 7

A: The given curve .The aim is to find the area under the curve in the interval .

Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

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

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Q: A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees…

A: Given that a patient has an illness that typically lasts about 24 hours. The temperature, T, in…

Q: Write the following expression in expanded form. (x+7)4 (X-5)√√x+4 In

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Q: NASA launches a rocket at t=0 seconds. Suppose its height, in meters above sea-level, as a function…

A: The height function of the rocket is h=−4.9t2+205t+108 Here the objective is to find the peak of the…

Q: Find the gradient field of the function, g(x,y,z) = e²z - In (2x² + y²). The gradient field is Vg =…

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Q: Prove that the equation is an identity. (sin 0 - cos 0)² + 2 cos 0 sin 0 = 1 Working from the…

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Q: Determine the average value of f(x) = sec²x over the interval 0, 0,4 2

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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: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…

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