Suppose a sample of a certain substance decayed to 73.6% of its original amount after 300 days. (Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance?

Q: QUESTION 7 A curve has an equation of y = x - 6x² + 9x + 2. What is the slope of the curve at its po...

A: topic - slope of the curve

Q: 22, what is

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Q: Pro Perties: 1-J-n(x)=-1) Julx)→wisinteger ex Ja(X) J-z(X)=(=1) JalX) - Sてと) ex ゴろしてことづる 2) =c Jelx)...

A: In this question we have to find the equation.

Q: applying lim 6-ydy can be eliminated by The infinity in the V6-ydy t-- 80 O True O False

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Q: 2- x*y' y + xy' = 1 3D1

A: Given:        -x2y2y'+xy3=1

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Q: Example 2. Find the derivative of the following with respect to x. x" +1. (iv) x-5 (i) x12 + 7, (ii)...

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Q: The bus took 7 hours 26 min to travel from Bloemfontein to Grahamstown. Talculate the average speed ...

A: Distance = 597km  time = 7 hour 26 min                                                =  7.433hour

Q: I and late the integral and deter ergence of (problem in pict M/4 sec²x a. 1-tan x

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Q: Evaluate; | em(sin2x) sin2xdx sin 3x +C 3 A sin?x +C 2 B sin*x +C 4 sin4x +C 2 D E None

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Q: substitution

A: We have to find value of the given definite integral according to the given information

Q: Suppose that f(5) = 3, f'(5) = 7, g(5) = -6, and g'(5) = 1. Find the following values.

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Q: (c) S(2r) =

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Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? Vx- [2, +0...

A: f(x) =1/x-2 for make f(x) contineous x-2 >0 and  x-2 is not equal to 0 so x>2 so our answer is...

Q: Find the area of the given region using any method. 1 y = 9 - x2 y 1.5 1.0 0.5 -1 1 -0.5

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Q: х-2 Determine lim x→2- 2-V4x-x2 Your answer

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Q: Evaluate the function for the indicated values. f(x) = 6||x| + 3 (a) f(0) (b) f(-2.8) (c) f(4) 5 (d)...

A: see below the answer and explanation

Q: QUESTION 9 The hypotenuse of a right triangle is 14 m. Find its perimeter if its area is a maximum. ...

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Q: Select ALL possible answer/s. +9x+ 20x x* +x-12 Determine all the vertical asymptote's of f(x) = if ...

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Q: Question 1: Consider the linear function defined by: f(x) = -3x + 2 (a) Calculate: f(-1), f(5) (b) D...

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Q: Question Select multiple answers and then press Answer. If f and g are both polynomial functions, wh...

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Q: 1 You are required to calculate the gradients of f(w,x) = 2+sin?(w,x1)+cos(W2x2) with respect to w, ...

A: f(w,x) =12+sin2(w1x1)+cos(w2x2)∂f∂w1 =-1(2+sin2(w1x1)+cos(w2x2))2ddw1(sin2(w1x1))∂f∂w1 =-2 x1sin(w1x...

Q: *+9x +20x Determine all the vertical asymptote/s of f(x) = if there are any. x* +x-12 X=-5

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Q: Q2) A) Find the quantities for the following 6.р 12+3x 4

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Q: E. Discuss the continuity of the function g(x) = on the interval (0,2] and [-1,3]. x2-4

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Q: Find the limit for the following functions: x-sinx 1-lim, x-Vx² + 2x 2- lim,-o

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Q: The polar coordinates of a point are given. Plot the point. (2, x/2) y

A: Given,           The polar coordinates of a point is 2,π2.To find : The corresponding rectangular co...

Q: 1 x =e" cos v, y=e* sinv uaz == vuv เมื่อ แ =1 และ "= 3 Find และ

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Q: Evaluate: lim ex O a, undefined or oc Ob.0 Oc 1 O d.-1

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Q: Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C = 15 a...

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Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (Enter ...

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Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

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Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

A: A detailed solution is given below

Q: Which of the following is equivalent to 5a + 4xª + 3² + 2 dæ ? Select one: | (5æ² + 4x + 3æ1+ 2x¯³) ...

A: We want to select the correct answer from the given options

Q: To test this series for convergence n' + 2 You could use the Limit Comparison Test, comparing it to ...

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Q: Square roots of 5(cos(120degrees)+isin(120degrees)) Find the roots of the given complex number in tr...

A: Given :square root of 5(cos120°+isin120°)

Q: Find the equation of the tangent line to the graph of a+ y = 3 at the point (1,4). 1) y - 4 = 2(x - ...

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Q: dy If x = t? cos? 3t y = 3 sin 3t find dx

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Q: notation. If the interval of convergence is a finite set, enter your answer using set notation.) Nee...

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the series. 00 5 + n 4n...

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Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

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Q: x² + y² = (3x² + 2y² – x)², (cardioid) 0, y 0.5 -0.5 0.5 1 -0.5

A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

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Q: The rate of natural increase of the population of a certain city is proportional to the population. ...

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Q: A scientist initially has 40 mg of a radioactive compound that decays by about 10% each year (ie. af...

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Q: Solve the following Differential equations. (x²+xy*)y' =y°

A: Given, The differential equation x3+xy2y'=y3 We have to solve the differential equation.  

Q: A 25-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot o...

A: Using pythagoras theorem;Right angle triangle ABC, x2 + y2 =252      ....(1)

Q: (1) The sale of houses in an arca (S) depends on the level of per capita income of people in that ar...

A: Given that

Q: Data set A T HIH Data set B Data set C H Data set D H++H 7. HH+ +++ 13 1. 3. 6. The box plots shown ...

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Q: At the beginning of the day, there were 500 items for sale in a store. The number of items for sale ...

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