The half life of a substance is 49 years. If there are 220 mg present now, how much will remain in 58 years?

Q: Consider the function f(x)=√x+5 -1 for the domain [-5, ∞). - 1 Find f¹(x), where f¹ is the inverse…

A: Given query is to find the inverse function and it's domain.

Q: √ d (268)6 This can be transformed into a basic integral by letting Consider the indefinite integral…

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Q: O Question 4 For the given cost function C(x) = 40000 + 300x + x² find: a) The cost at the…

A: Let's find production level that will minimize the Average cost and minimum average cost.

Q: Consider the following: f= x³ + 3x² + x - 2. Without solving for its roots, we can say that there is…

A: Given query is to find the statment is True or false.

Q: Evaluate the integral [x³√x² +2 √x³√x²+2dx = + 2 dx.

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Q: Determine the following using the graph off provided below. If the value is infinite, specify ∞o or…

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Q: Evaluate the indefinite integral. 7x Jetz sin(2x) dx

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Q: (2) ) (A) Suppose Ris the region in the second quadrant bounded by the circle x² + y² = 9, the lines…

A: Given that:- Region R bounded by x2 +y2=9 ,y=-x and x=0 in second quadrant

Q: 1. Find the s y" - y'-

A: Go through the solution...I have solved 1st question step by step in detail... as per our company…

Q: 3 attempts left Area under the curve = Check my work Find the area under the curve y=f(x) = 16x16x²…

A: Given query is to find the area under the curve.

Q: 4. Evaluate: S 2x+4 x³ - 2x² dx

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Q: Question 3 ( Consider the differential equation x²y" - 3xy' + 3y = 2x³ - 3x². (a) Verify that y₁ = x…

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Q: Evaluate the definite integral. [² 1 -da 3x² Simplify your answer. Type an integer or a fraction.

A: To find the Integration.

Q: a. Approximate the given quantity using Taylor polynomials with n = 3. b. Compute the absolute error…

A: We need to estimate value and find error.

Q: The R.C. Helliot Advertising Company finds that its profits on day t of an advertising campaign is −…

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Q: 1. Evaluate 3 S 0 |3a²- 12| da.

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Q: Evaluate the integral s 2 (sin 1(x/6))²dx 2 36-x

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute

Q: Find the local maximum of the function. If there is no such value, write"no". * Your answer Find the…

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Q: Suppose that in a memory experiment the rate of memorizing is given by M′(t)=−0.009t2+0.4t​, where…

A: NOTE: Refresh your page if you can't see any equations. . the rate of memorizing is given by

Q: Determine if the following series converges of diverges. If converges, find the sum. 8 n=1 1 (n −…

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Q: Use l'Hôpital's Rule to find the following limit. sin (x)-x 3 8x lim x-0

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Q: Integrate. Show all u-substitutions. - 3x - 15 a) | x² -9 2 d dx

A: Given integral ∫( 3x - 15 )x2 - 9dx

Q: Find the derivative of y with respect to t. y=4ýt tanh Vt y' = (Simplify your answer. Type an exact…

A: NOTE: Refresh your page if you can't see any equations. . y=4ttanht take derivative y'=ddt4ttanht…

Q: Evaluate lim f(x) where f(x) = x-5+ 07 05 0 0 O Limit does not exist 06 x + 7 2 7 x² - 15x + 55 if x…

A: To find the right hand limit of f (x) at x=5 , substitute x=5 in  f(x) = x2-15x+55

Q: For the following function f, find the antiderivative F that satisfies the given condition. 1 F(v) =…

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Q: Let f(t) = 2t¹ – 3t+2eª. Then f'(t) =

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

Q: A defense contractor is starting production on a new missile control system. On the basis of data…

A: Setup integral

Q: Find the absolute maximum and minimum values of each function over the indicated​ interval, and…

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Q: Find the area bounded by the graphs of the indicated equations over the given interval​ (when…

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Q: Minimize Q=6x2+2y2​, where x+y=8.

A: We can solve the given problem by using the second derivative test.

Q: b) an = Find the limit of the sequence, if it exists. (Again, this is a sequence, not a series) 5n…

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Q: Which one of the following Riemann Sums approximates S. e dx using 4 subintervals of 3 equal length…

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Q: A sheet of paper 84 cm-by-64 cm is made into an open box (i.e. there's no top), by cutting x-cm…

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use co…

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Q: 18. 0 dy de 2y = 0³ sec 0 tan 0, 0>0, y(π/3) = 2

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Q: Find the Work (W) done by a Force (F) that moves an object from the initial point (1, 10, 8) to the…

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Q: Let f(x) = x (6-x)* . (a) Determine the interval(s) on which the graph of ƒ is increasing or…

A: Given function:- fx=x6-x23

Q: Consider the following table, and assume that f(x) and g(x) are differentiable fund as given. X 1 2…

A: Given query is to find indicated derivative.

Q: Find a vector parallel to u = -27-63-7k and with magnitude |||| Enter your vector in terms of i, j…

A: Given vector u = -2i -6j -7k Given a vector v is parallel to u and whose magnitude is 12

Q: Determine whether the series Σ=1 1 1+√n is convergent or divergent.

A: Series   ∑n=1∞  11+n

Q: One version of the Folium of Descartes is given by x³ + y² = 1.4xy for what value(s) of x is the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Solve the given equation.. dy dx +y=ex, y(0) = 1 a. b. c. y(x)= xeX +x+1 y(x) = 2ex + e-x y(x) = d.…

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Q: Question 3 Given the IVP: y" -8 y' +16 y=-12, y(0)=0, y'(0)=3 A) Use the Laplace transform to find…

A: To solve the IVP

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: To apply integral test and check the convergence

Q: 4x 2. y = ² at (1,2) 1+x²

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Q: Find the area under the given curve over the indicated interval.   y=x2+5x+4​; [4,6

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Q: Evaluate the limit lim I- <x x² + 3x + 2 x + 1

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Q: Differentiate implicitly to find dy/dx.Then find the slope of the curve at the given point.…

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Q: Find the derivative of y with respect to z. y=6(28) dy dz ||

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Q: Suppose that f(x, y) = eª/y on the domain D = {(x, y) | 0 ≤ y ≤ 2,0 ≤ x ≤ y³}. D Q Then the double…

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