A bacteria culture initially contains 2000 bacteria and doubles every half hour. Give exact values below: Find the size of the baterial population after 100 minutes. Find the size of the baterial population after 10 hours. Question Help: Video Submit Question Jump to Answer

Q: Find the dot product between vectors a and b, given d=3i-jandb=2i+7 + 4 k A

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Q: 19. Which of the following definite integrals is equivalent to the Riemann's sum lim A) 51²=1/1dx B)…

A: We can solve the definite integral of Riemann sums .

Q: Find a value of x, if any, at which f(x) - 4x + 3, 9+, {" If f(x) is continuous for all values of x,…

A: To find the value of x, if any, at which fx=4x+3, x≤29+4x, x>2  is not continuous.

Q: 11. π/4 St (sec x - cos x)² dx ex

A: Given

Q: Evaluate the indefinite integral: 1 = x² + 3 √x². x² +9 Note/hint: You may use the answer from an…

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Q: Select one: O True O False fe'd 0 et dt = eª.

A: Given query is to find statement is true or not.

Q: H.W 4.2 Solve the system x + 5y5z- 3w = 18 2x + 4y - 4 z = 12 x + 4y - 2z+ 2w = 10 2x + 3y +z + 3w =…

A: Given system of equations is x+5y-5z-3w=182x+4y-4z       =12x+4y-2z+2w=102x+3y+z+3w=8

Q: 6 The power series 1(-1)( k (x+1)k k k= A converges if and only if x € (-2,0) B converges to -log(x…

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Q: 2. Integrate Sª arctan r ૨૨ dx.

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Q: Find the curvature and radius of curvature of the plane curve at the given value of x y=x-4, x=2

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Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos(105⁰)

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Q: are the answers for A, E, and F the number 1 ?

A: To ask :- are the answers for A, E, and F the number 1 ?

Q: Let A be the area of a circle with radius r. If = 3, find when r = 5.

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Q: Which of the following is equivalent to the expression log, (r) + 4 log, (w) + logg (x)? logg (4rwx)…

A: We know that the logarithmic properties: 1). logbxa=a·logbx where x,b>0, b≠1 2).…

Q: Let y = f(x), where f(x) dy = ▪▪▪▪ 7 B tr Find the differential of the function. 21x³ 2(x³ + 7) (3)…

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Q: Q18 Multiple Choice 60 m Select the best answer. 100 m From A, a golfer aims a ball towards the hole…

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Q: Find an equation of the tangent line to the curve at the given point. y = 6x²x³, (1,5) y = (No…

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about = 10 and then find the nth Taylor…

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Q: a. y" - 4y' = = "1 314 -x + ³/ Find the general solution to the following ODES.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: USE THE GRAPH BELOW TO ANSWER QUESTIONS 6-10 Far Ba Question #6 - Which is true about x = D? a)…

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Q: Question #1 - Use Simpson's Rule to approximate the following integral using 6 intervals ²√8 + x³ dx

A: Given : ∫028+x3dx To find: Approximate value of the above given integral using simpson’s rule

Q: Calculate the maximum value for V. Give your answer correct to 3 decimal places

A: Given: A cuboid measuring 5x cm by x cm and h cm. Surface area = 720 cm2 To find: Maximum volume

Q: Evaluate the given expression. Take A = [- 000 -1 1 4A - B 0 _2] and 8-[-1 B = 10 0 -2 -1 -3 -1 0 -1…

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Q: (b) Verify that f(x) = 2 cos(x) sin(1x). f(x) = sin(6x) + sin(7x) = 2 sin = 2 sin 6x + N 2 X COS 6x…

A: Given

Q: Evaluate the integral using integration by parts. Okay to use Tabular Integration if appropriate. 3…

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Q: Find a synchronous solution of the form A cos 22t + B sin 22t to the given forced oscillator…

A: The objective of the question is determine the solution of the given differential equation.

Q: Two identical tuning forks are struck, one a fraction of a second after the other. The sounds…

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Q: 1-6 Find an equation of the tangent plane to the given surface at the specified point. 2. z 3(x -…

A: Equation of tangent plane to the surface f(x,y,z)=0 at point (a,b,c) is given…

Q: Find dy/dx by implicit differentiation. 4x³ + x²y − xy³ = 3 y' = 12x² + 2x − 3xy² X -12x² - 2xy + y³…

A: 4x3+x2y-xy3=3d dx(xn)=nxn-1d dx(constant)=0d dx(a.b)=adbdx+bdadx

Q: . The variable a is proportional to Vb. If a = 15 when b = 9. what is a when b = 12?

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Q: If the marginal revenue for a product is 700 x + 5 find the total revenue function. (Round constants…

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Q: Find all possible rational zeros of 7x + 7x² + 5x 9. Write all answers as reduced fractions, and use…

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Q: Evaluate the integral π/8 I 3 0 cos 4t sin 4t dt.

A: Here we have to find the definite integral.

Q: 5n+2 7

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Q: 1 Between y = ex, y = __ and x = 1 1+x

A: Given functions: y=ex,y=1x+1 , x=1 To find the area enclosed between the given functions.

Q: Solve the initial-value problem y" + 2y + 10y = 3et+ 7 cos(3t) + et sin(3t), y(0) = 2, y'(0) = -2.…

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Q: dy d²y dx² x = ² + 1, y = t² + 9t 2t +9 2t Find and dx dy dx || d²y dx² For which values of t is the…

A: Given query is to find indicated derivative and the value of t where curve concave up.

Q: Find the minimum value of f(x, y) = x - xy + 2y2 subject to the constraint x - y = -1.

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Q: Let f(x) = ²-7x-18 ✩ if x = -2 if x=-2 Is f continuous at x = -2?

A: A function is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)…

Q: The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the…

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Q: d) Find h¹(x) and verify that h(h'(x)) = x and h¹¹(h(x)) = x. 7e.

A: Given h( x ) = x-2x-4

Q: value problem y" - 4y' +5y=0 with y(0) = 0, y'(0) = 8. then ny(1) is equal to:

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Calculate the derivative of: f'(x) = COS -¹(8x) sin-¹ (82)

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Q: $1850 is invested at 5.0 % compounded continuously. How long will it take for the balance to reach…

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Q: Question #2 Find all the intervals where the function is concave up and concave down. Then find all…

A: The given function is: fx=4x4-4x3+5

Q: Find the point on the graph of f(x) = x² in which the tangent line is y = 4x - 4

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Q: Find the length and width of a rectangle with an area of 450 square yards that will minimize the…

A: Given query is to find the dimensions to minimise the perimeter.

Q: An ecologist is conducting a research project on breeding pheasants in captivity. She first must…

A: For maximum area differentiation of area should be zero and double differentiation of area should be…

Q: 12, b = 6, and c= 21. The variable a is proportional to 15 when b = 9, what is √b. If a a when b =…

A: Use proportional property