9) A company projects their revenue and cost functions will be R(x) = 3x² + 10x and C(x) = 13 x³ 4x2 - 5x where x is the number of units manufactured (in thousands) and R(x) and C(x) are in thousands of dollars. How many units should be manufactured to maximize profit?

Q: What is d dx 7x 3x O 102 sin z √2 - sint dt? O-3√2-Sin 3z - 7√2 – sin 77 O 3√2-sin 3x - 7V2 — sin 72…

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A: Given query is to find the Cartesian equation and the centre of the circle.

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A: Here is the solution

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A: To find the solution.

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Q: 10) Determine the integrating factor of the differential equation (y tan(z)-e)dz + dy=0 a) ecos(x)…

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Q: Given that f(x) (a) f(g(0))= (b) g(f(0))= = 8x + 8 and g(x) = 8 x², calculate -

A: We have  f(x)= 8x+8 and g(x)=8-x2

Q: 1. Find f'where f(0) 2 Find all = 1+sec(0) 1-sec(0)

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

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Q: O Use Sigma n function, ex

A: Find the Maclaurin series for the function f(x)=e^x

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A: Given query is to find indicated derivative.

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Q: For the given cost function C(x) = 52900 + 800x + x² find: a) The cost at the production level 2000…

A: Given, Cost function C(x)=52900+800x+x2

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

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Q: Find the Laplace transformation L {f(t)} if f(t)= (t + 1)² ? s²+2

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take Laplace

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A: Suppose β is a real number constant. To evaluate the following limits.A limx→1+ β cosπxx2-xB limx→0…

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A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

Q: Consider the following function: f (x) = x4− 18x2 + 6 Enter the x-values of any local minima,…

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Q: Find the average value of f on [0, 24]. YA 2 0 6 12 18 X

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Q: solid generated using the Shell Method. 1. The region bounded by y=x+1, y=0, x=0, and x = 1 is…

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Q: Question 12 Given point P(1, 2, 3) and Q(2, 3,-1). Find the vector projection of Rop and Rog A.…

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Q: 23) Find values for a, b and Y in Y dx to represent the shaded area below. y = f(x)

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Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Solve the following

Q: If f(x) = x² and g(x) = 0 (6³-a³) O None of these. O2(6²-a²) 026-2a 06² q² what is g(x)da?

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Q: 1. Divide the interval [a,b] into n = 4 subintervals of equal length and compute A) the sum of the…

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Q: Show that the vector field F = (yz cos(x)ey sin(x), z sin(x)ey sin(x), ey sin(x)) is conservative.

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Q: At age 35, Beth earns her MBA and accepts a position as vice president of an asphalt company. Assume…

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Q: Let* (t) = (-5t² +4,t³-14, 21³). Find the line (L) tangent to (t) at the point (-1,0,2) L:(x, y, z)=…

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Q: Evaluate the limit: 1x + 9 lim x 9 x² + 2x - 63

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Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. 13…

A: We will find the required.

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

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Q: spe Let T be the linear transformation whose standard matrix is 1-2 3 A = -1 3-4 -7 -5 -6 Determine…

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Q: In decomposing the rational function C (x + 1)² A x - 5 01 0-1 O-2 02 + 0 0 B + x + 1 2 x² + 11 -as…

A: Explained below

Q: Let f(x) = x² + 7. Find and simplify: f(x + 6) - f(x) O 12x + 50 O 12x + 36 O 12x O 50 0 36 O 6x +…

A: We can simplify and find the correct answer in the below steps.

Q: 18) Determine the annihilator of y-z-efsinz. a) (D-2D³-2D²)y=0 b) (D+2D³ +2D²)y=0 e) (D¹+2D³-2D)v-0…

A: The given equation is; y=x-exsinx.

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Q: Graph the circle given below by moving the key points: (x - 2)² + (y + 2)² = 16 To graph the circle,…

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Q: Use L'Hopital's Rule to find the limit or state that the limit does not exist (DNE): tan (√5x) 10x…

A: Given,           limx→0tan5x10xTo find : Use L'Hospital's Rule to find the limitWe kno that,…