If θ=1π/3  then find sin(θ) =    cos(θ) =    Give exact values. No decimals allowed

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Q: Find all antiderivatives of the following function. f(x) = e 20x ff(x) dx = x=-20e-20x

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Q: A A manufacturer can produce 2970 cell phones when a dollars is spent on labor and y dollars is…

A: We can solve the given problem by using the method of implicit differentiation.

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Q: K Evaluate dy and Ay for the function below at the indicated values. 8 5 ( 1 - - 1); y=f(x)=75 1 dy…

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Q: Find F(x), the general antiderivative of f(x), where f(x) = F(x) = √1

A: we need to find out the antiderivative of the given function.

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A: We need to find out the inflection points.

Q: 2) Given the following: f(2)=5, f(5)= 7, f'(2) = a, and f'(5) = b b) What is (f¹)'(5)? Show work.

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Q: Consider the graph of the function g(x): (a) YA 4 (b) 2- 0 The graph from x=2 to x = 6 is a…

A: Definite integral is defined as the area under the curve.Therefore we need to find the respective…

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Q: 4. Central conics with center at the origin and vertices on the coordinate axes.

A: NOTE: As per our guidelines, I have solved 4th problem. If you want solution of other, kindly post…

Q: 22. lim In√x x²

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Q: Find the height of the largest isosceles triangle that can be inscribed in a circle of radius r.

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Q: fx√x - 2dx

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Q: Find the area of the parallelogram whose vertices are given below. A(-3,2) B(2,0) C(8,3) D(3,5)

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Q: Find the function with the given derivative whose graph passes through the point P. r'(0)=2+ sec ²…

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Q: 2. Use polar coordinates to evaluate c4 L -4 JO 16-y² (1 − x − y) dxdy .

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Q: x² if x ≤ 4 if x > 4 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) =…

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Q: Differentiate each function below. Be sure to use proper notation to distinguish between a function…

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Q: Given fo²F0₂ f(x) dx = 6 and (a) [ f(x) dx $fº Fx (b) [³ 16 (c) [f(x) dx (d) 3 f(x) dx -5f(x) dx…

A: Given ∫03fx dx=6, and, ∫36fx dx=-1, to evaluate the following.a ∫06fx dxb ∫63fx dxc ∫33fx dxd…

Q: Find all solutions of cos(x) = 0 on the interval [0, 4п). 1. x = + 2. x = 5.x = π п 3п 5п 7п 2 2 2 2…

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Q: x-2y+3z = 1 O Solve x +2y-z = 13 by using Gaussian Elimination. (3x + 2y - 5z = 3

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Q: Find the general antiderivative for the function: f '(x) = 5x4 - 3x2 + 4, f(-1) = 2  *please use…

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Q: A function f(x)f(x) and interval [a,b][a,b] are given. Check if the Mean Value Theorem can be…

A: Given; f(x)=11lnx+6 on[1,6]

Q: Between 2006 and​ 2016, the number of applications for​ patents, N, grew by about 4.6​% per year.…

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

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Q: Compute the given indefinite integral. [(x − 2)(x) dx = - +C

A: Important formula÷ ∫xndx=xn+1n+1+C Let I= ∫x-2xdx Now we need to first multiply this expression

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A: See this solution in below.

Q: Find the general antiderivative of the function: f '(x) = (4 / √1 - x2) , f(1/2) = 1 Note: The…

A: The function is  f'(x)=41-x2 f12=1

Q: 4000 is invested at an interest rate of 9.25% per year, compounded continuously, find the value of…

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Q: Consider the function f(x) = 4 − |x| defined on [-4, 4]. (a) Compute the left Riemann sum Lg. Lg = 0…

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Q: Below is budgeted production and sales information for Flushing Company for the month of December.…

A: The total sell of product XXX is Region I and Region II anticipated sales = 334000+183000= 517000…

Q: What are the future value and the interest earned if $2800 is invested for 5 years at 8% compounded…

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Q: Determine the particular solution to the differential equation dy/dx= sin(x) given that y=0 when x=0

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Q: 7. fx² sinxdx 9.f x² Inxdx

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Q: The population is growing more slowly. Here f is the population. Then O f'(x) 0 f'(x) 0, f''(x) >…

A: solution:-givenpopulation function =f(x)rate of population growth =ddx(f(x))