At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria grows continuously, how many will there be at 7:30 pm? There will be bacteria. (Round to nearest integer.)

Q: Siven a = (1, 2, 1) and b - (k. 1, 2) and a × b = √35. X Determine the value(s) of k.

A: Follow the procedure given below.

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A:

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A: Ths question can be solved using the formulas of Laplace transform.

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A: topic- exponential function

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Q: [x³√₁-x² x2

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Q: 2 Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A: Given: The surface is 2z-x2=0 and the point is P02, 0, 2

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A: Topic:- indefinite integration

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A:

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Q: 5. Find the general equation of the circle of curvature of the parametric equation X= ;y=+√6(t+1);…

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Q: 3) Using the trafe boich unte, find the following integrats 2 Ⓒ S x lnx d x Aslo 1

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Q: 9 Use the shell method to find the volumes of the solids generated by revolving the shaded region…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

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Q: Find the total area of the shaded regions. C 5 y= ex 4 3- 2- 1- 0- -1- -2- -3 ✪ Q G The total area…

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A: We have to draw the diagram and time required.

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Q: Exercise (1-3): By Charpit method solve the following PDE (1): p²x+q²y=z

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

A:

Q: 7. y=4x²-5x is known to be the relationship in a curved archway. Determine the area under this…

A: Note that, the curve y=4x2-5x and x=5 and x=1 intersect at (5,75) & (1,-1) respectively.

Q: -3√3 dx √3 x² √√x²+9 2

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Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: We have to sketch the curve and find area.

Q: d. lim, In 1000 x ,5

A: Here, note that the function ln1000x grows asymptotically slower than the polynomial x5.

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Q: Topic: Arc Length Find the length of the arc of the function x^2 = 4y from x = -3 to x = 3. a) Graph…

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Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

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Q: lim X→+∞ 5 In³ x 2 X²

A: Let's evaluate limit.

Q: 32/5 y=x² 32 Find the area of the region bounded by the graphs of y = x² and y = 4x. 64/3 32/3 64

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

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A: Given :   y=x2 y=16

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A: