96 %24 个 An element loses 17% of its mass every year. Find the half-life in this situation. The half-life is years. (Do not round until the final answer. Then round to the nearest hundredth as needed.) -> # $4

Q: 200 If 50, solve for t. 1 + 5e-0.5t t =

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

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Q: Find the area of the surface generated by eY + e -y revolving the curve x - in the interval - In 5 O...

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Q: Activity 1. What's My Extrema? Identify the extrema (both minimum and maximum) of the given graphs b...

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Q: In Exercises 39-42, the velocity v(t) of a particle moving in the plane is given, along with the pos...

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Q: x5 dx + 1)ž (36x²

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Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y ...

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Q: 5. Find the points on the given curve where the tangent line is horizontal or vertical. (Assume 0 <0...

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Q: what are the coterminal angles for -220 degress

A: We have to find the coterminal angles for -220° The definition of coterminal angles is, the angles i...

Q: What is the answer? show your solution and simplify your final answer without the use of calculator

A: Solved assuming 'a' is positive. 

Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: Original Integral Rewrite Integrate Simplify x dx dx + C

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Q: Determine the interval(s) on which f(x)=square root(x/x-4) is continuous.

A: Given query is to find the interval where function is continuous.

Q: 1. Answer the following question? A Let f '(x) = x - 2x – 3. For what value(s) of x does f(x) have a...

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Q: Find the derivative of the function. 6z 12 - 5 u² – u?+5du g(r) = 32

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Q: Given the function f(1) = 12 Use the Laplace Transform table to convert this function into F(s).

A: Given :- f(t) =t2  To find:- Laplace Transformation of given function

Q: 3 sin°co dx COSCX)

A: Integration

Q: Find the volume generated by revolving bout the line x -1 the area bounded by (y + 2) = 4(x + 2) and...

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Q: 200 If 1 + 5e-0.5t 50, solve for t. t =

A: We can solve for 't' . Firstly multiply denominator term by Right hand side term and simplify . lne...

Q: Given the function s(1) = 8

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Q: A rectangle is bounded by the x-axis and the semicircle y = V 81 - x² (see figure). What length and ...

A: Consider 

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Q: view Policies Current Attempt in Progress An open box is to be made from a 33 ft by 88 ft rectangula...

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Q: 5. For f(x) = 2x + 8 and g(x) = 4 - 2x, determine the domain of f(g(x)) %3D SESEASAN

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Q: arbitrary

A: We have to eliminate the arbitrary constants from the given  function

Q: Use any method to find the relative extrema of the function f (x) = x +11r – 9. If there is no relat...

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Q: Find for the given function. w= 10z2 e?

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Q: Integrals Involving Roots Evaluate each of the following integrals. 1. 2+Vx-4 xp-

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: A child is flying a kite at a height of 40 ft, that is, moving horizontally at a rate of 3 ft/sec. I...

A: Given:      Height of kite =40 ft      Rate of moving kite =3 ft/sec      Length of the string relea...

Q: . Determine an equation of the line of intersection of the planes 2r - y + 3z = -1 and x+ 4y – z = 2

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Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

A: Here we will find the magnitudes of both diagonals,

Q: Given the function f(1) = e2' cos(3 1) Use the Laplace Transform table to convert this function into...

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Q: In 1980, the population of alligators in a particular region was estimated to be 1300. In 2005, the ...

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Q: In 2011 a country's federal receipts (money taken in) totaled $2.46 trillion. In 2013, total federal...

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Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is ...

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: since dv=adt the v-t graph is determined by differentiating the straight line segment of the a-t gra...

A: Explanation of the answer is as follows

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k? = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: Use a double integral in polar coordinates to find the area of the region. The region inside the ci...

A: Question- Use a double integral in polar coordinates to find the area of the region.   The region in...

Q: Determine whether each statement is true or false. You have one submission for each statement. 9000 ...

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Q: Use the given graph of f over the interval (0, 6) to find the following. y -1 1 (a) The open interva...

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: 1. we have to evaluate the following integrals 4 dy de a.

A: a ∫14∫12 (x/y + y/x)dydx ∫14 [xlny + y2/2x]]12dx ∫14 xln2 + 2/x -1/2x ∫14xln2 +3/2xdx [(x2ln2)/2 + 3...

Q: Given the graph of the function below. Find the limit of the function as x approaches 3. * (3, 4) (0...

A: Given query is to find the indicated limit.

Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

Q: Given the following power series, Ln=2 sho 2' 2 1 - that it converges when x = –9 using the Alternat...

A: Solve the following

Q: Exercise: Do as indicated if x 4. x. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞,0)? 3 ...

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Q: Consider the points A(3, –3, 3), B(4, –5, 1), C(-2, -4, 1), and D(6, 3, –5). (a) Find the volume of ...

A: Volume of parallelepiped

Q: ха + ах — 2bx -2ab — х3 — 2ах* — 2bx? x* + ax³ – 2bx³ – 2abx² dx

A: Given integration is: ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx

Q: 2.

A: ∫x2ex dxBy integration by parts