5. The rate at which the total monthly profit is changing is given by P'(t) where t is number of units made each month. What does the integral P'(t) dt represent? Write a sentence to J10 explain what this integral represents.

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A: The first derivative is everywhere positive and the second derivative is everywhere negative

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A: Here, U(r)=1rln(axr+byr)

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Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

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A: Mass= density× volume

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Q: 3 5 where x and Зл < y < 2n. Assume that sin (x) = sin (y) = - Calculate cos (x – y). (Give an exact…

A: Here, sin x=35; π2&lt;x&lt;π⇒cos x=-1-sin2x=-1-352=-1-925=-25-925=-1625=-45 And, sin y=-56;…

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A: Given,  ∫ x2-1x2dx

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Q: /| J. Let J = xy dA where D is 2 %3D D the region bounded by the x-axis, .3 y = x' and x = 2

A: Intersection points:y=x3, x=2, y=00=x3(0, 0)y=23 =8(2, 8)

Q: x³ – 36x 20

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Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

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A: Use gradient formula and partial derivative formula for finding the gradient.

Q: So  for the last part of the Question is it A. The Root Tests says that the series converges…

A: Apologies for the inconvenience. Here is the complete solution:   Given series is = ∑n=1∞an where…

Q: |. IF A FORCE OF 80 lb STRETCHES A 12t SHRink Ift. FIND THE woRk DONE IN STRETCHING IT a) PRom Izto…

A: work done = force*displacement here  a from 12ft to 15 ft  3 ft displacement  work done = 80*3 = 240…

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Q: Evaluate * | (0² + 1) cos 0 d0. e2sine + 20cose – sine + c 02sine – 20cos0 – sine + c Option 1…

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Q: (2) use tue limit Couperisen Tert to defermine tue canleryencl or divergence of tud series Ź 3 sin…

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Q: Qi Find the adjointof A 2. A= 2

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Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

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

Q: 4) The domain of f(x) = 4 cos-(3x- 1) + 5 is 3) If f(x) = 1+ x+x? then f-1(1) = a) 1 d) 2 e) non b)…

A: Since you have posted multiple questions i can do first three questions as per our company…

Q: A 324 g sample of a mercury isotope has a half-life of 2 years. After 7 years, how much of the…

A: Initial Amount A(0)=324 g half life  t12=2 years

Q: 1. Logarithmic differentiation. Compute the derivative of each function using logarithmic…

A: Due to bartleby guidelines,we have to solve only 1 question so if you want another answer so please…

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Q: n3 - 2 1. Find Lt n+0 2n° + 3n - 4

A: Simplify the fraction and solve the limit.

Q: Give the curve r=3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line is…

A: θ r=3 cosθ 0 3 π4 32 π2 0 3π4 -32 π -3 5π4 -32 3π2 0 7π4 32 2π 3

Q: Solve. y' = 7y-2; y = 3 when x=2 y = (Туре an exact answer, using radicals as needed.)

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Q: ercise To Try 4 (A piecewise function.) Find the area under the graph of f(r) and ve the x-aris…

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Q: Graph the solution set of the system of inequalities. + y?s9 X22 y20 y 10 1아 1아 1아 -10 -5 10 -10 -5…

A: This question can be solved by applying the concepts of drawing the graphs of inequations.

Q: M3.3 Trigonometric Substitution s dy 9-y 5.

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Q: Format View Help File Edit Format View Help Ln 57, Col 1 100% Windows (CRLF) UTF-8 Consider the…

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A: x2-9x+207x3+19x2 =x2-9x+20(7x+19)x2x2 can not be further simplified !!Because (x)2 has an exponent…

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A: Here, the given radius of the first end is r1=2.882=1.44 cm Now, the speed at the first end is…

Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: 1. Evaluate the limit below. -3(x – 10) lim x→10 x2 – 100

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Q: Find the mode.   51​, 44​, 49​, 48​, 51​, 33​

A: Given  51, 44, 49, 48,51,33

Q: ewrite int _0^1 int _0^{2-2x} int _0^{{1/2} (6-6x-3y)} dzdydx as dzdxdy and dydxdz

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Q: Find the values of a and b such that f is differentiable at x = 3

A: Given,            The function is fx=ax+bx≤32x1-1x&gt;3To find : Find the values of a and b such…

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Q: Consider the following. u = -6i - 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b)…

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