13) I have 20 bacteria in a culture. In 12 hours, I have 100 bacteria. If the population of the bacteria grows exponentially, when will I have 1000 bacteria?

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim 2-0 tan (3x) I Number

A: Given lim x→0tan( 3x )xput x =0 tan00= 00hence L hospital rule is applicable

Q: a. Vertex (8,0) AB. Domain of P(X) 3 of P(x)? C (t B (t ☆ C. cxis = Renge of sym 3 D. The largest…

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Q: Find sin 2x, Coszx, and tonex if sinx = ? JT3 and x terminates in quadront II.

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Q: Hello I cannot understand the answer

A: Let's solve given integration.

Q: 3. Tim ( x ²-1 x2-3x+2/

A: use L'hospital rule limx→1(x2-1x2-3x+2)=limx→1∂ ∂x(x2-1)∂ ∂x(x2-3x+2)∂xn∂x=nxn-1

Q: The rate of growth of a fish population was modeled by the equation 90,000e-0.6t (1 + 5e−0.6t)²,…

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Q: Write the equation of a parabola whose directrix is y=−11 and has a focus at (9,-3).

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Q: Find an antiderivative of v(x): = sec² (8x) + 4x². Assume that the value of the arbitrary constant…

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Q: [13] of 2] and find an associated eigenvector for each 12- Find the eigenvalues of eigenvalue.

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Q: Evaluate the following line integral along the curve C. √(x+y+z) x+y+z)ds; C is the semicircle r(t)…

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Q: X √1 + 2x 68. ·So- dx

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Q: Loyd is floating in his boat 2 km from the straight shoreline of a still lake .Standing at a…

A: GivenT(d)=d2+44+4-d5   We are required to find the minimum value of T.

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. 7 3 f(x)=x 1…

A: for critical values put f'(x)=0dxndx=nxn-1

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Q: If csc(x)=3, for 90∘<x<180∘, then sin(x/2)= cos(x/2)= tan(x/2)=

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Q: Let f(x) = x³ + 6x² + 6x and let c be the number satisfying the Mean Value Theorem's conclusion on…

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Q: 2. Use the first derivative test to locate the local maximum and local minimum point(s). f(x) = -x³…

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Q: . Find the intervals on which f is increasing and the intervals on which f is decreasing, 1(z) = -1…

A: To determine the interval where the function increases or decreases

Q: Find the center, the vertices, the foci, and the asymptotes. Then draw the graph. 1 100 y² The…

A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Approximate the area under the curve graphed below from x = approximation with 5 subdivisions. 3 2 1…

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Q: 12. f sec¹x tan³x dx

A: We need to find out the integration of the given integral.

Q: 2. Find an equation for the tangent line to the graph at the specified value of x.. y=x'sin 4x at x₁…

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Q: Determine the largest open intervals of the domain over which the function is A. Increasing B.…

A: From the graph  function is not increasing anywhere . Decreasing (-∞ , -3 ) ∪ ( 4 , ∞ ) Constant on…

Q: Evaluate the iterated integral. PRE У dx dz dy

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Q: A hot-air balloon is floating above a straight road. To calculate their height above the ground, the…

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Q: sin x sin(cos x) dx

A: dcosxdx=-sinx∫sinxdx=-cosx+cI=∫sinxsin(cosx)dx

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A:

Q: Evaluate the line integral, where C is the given curve.     Cxey dx, C is the arc of the curve x =…

A: NOTE: Refresh your page if you can't see any equations. . where C is the arc of the curve x=ey from…

Q: Determine whether the following series converges. Justify your answer. IM8 (4k)! k=1 (k!)4 Select…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 4t, y = 4t,…

A: The given curves are: x=4t,   y=4t,      0≤t≤9

Q: fx (2x+5)³ dx

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Q: Find an equation for the tangent line to f(x) = 2x³ - 6x² + 8x - 1 at x = 2. y = 7(x - 2) Oy=7x…

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Include a multiplication…

A: Given query is to find the integral.

Q: On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the scale for…

A: Given, On a blueprint of a house, the living room has dimensions of 3 inches by 5 inches. If the…

Q: QUESTION 10 For g(x)= x +3 state all intervals for which g is increasing/decreasing

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Q: 10. f sin³x dx

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Q: Find the coordinates at times t = 0, 1, 2 of a particle following the path t = 0: t = 1: t = 2: =…

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Q: Suppose y (a) The midline of the graph is the line with equation (b) The amplitude of the graph is…

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Q: More salt is being added to a container of salty water. The amount of salt in the water at time t is…

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Q: lim (x,y) →(0,0) 5x4 y x² + y²

A: According to question,Given Limit,limx,y→0,05x94yx3 + y4

Q: I7 28 +5 6.8. 0 xp

A:

Q: Problem x²¹-2x+2 dx x² I Solution

A: Given query is to find the solution of the integral.

Q: Use f(x) = log4(16x) and g(x) = 4* to answer the questions below.

A: A. Find f(g(x)) and simplify    B.  Find the range of y= f(x) - g(x)

Q: Let C be the closed curve oriented in the counterclockwise direction, consisting of the line segment…

A: Let's evaluate given integral.

Q: QUESTION 6 Approximate the solution to +1=² by performing TWD iterations of Newbon/s. Method, with…

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Q: You approach a hill on top of which there is a tall radio antenna. You know from your map that your…

A: Let's find height of hill and height of antenna.

Q: 21 Let A = 1 0 -1 2 3 1 -1 0 Find the |A|, that is, determinant of A. Find A-¹. You must show all of…

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Q: Find g'(x) if g(x) = logx(3x)2. O O 8'(x) = 2 ln x 3 ln²x g'(x) = - g'(x) = g'(x) = - 2 ln x 3 ln²x…

A: To determine the derivative of given function