The count in a bacteria culture was 800 after 15 minutes and 2000 after 35 minutes. Assuming the count grows exponentially ( f(t) = ce ), Find the initial size of the culture: (Round to the nearest whole number.) Find the growth rate. k = (Round to the nearest thousandth.) Find the doubling period. ta minutes. (Round to the nearest tenth.) Find the population after 95 minutes. P = (Round to the nearest whole number.) The population will reach 11000 at t = minutes. (Round to the nearest tenth.)

Q: Evaluate the integral. | cos" (x)dx cos"(x)dx

A: According to question,given Integral,Let I = ∫ cos-1x dx

Q: Question 1: When working with rational functions of the form f (x) = P(z) what information can you 2...

A: We can find domain of f(x)   

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, w...

A: We can find the centroid as below using the required formula.

Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

A:

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: Given a function f (x) whose graph is shown below. (6,5), (1,4) (-4,2), 2 (6,2) -6 -4 -2 2 4 -2마 9(1...

A:

Q: Given the differential equation y" - 9y = 7x5 + 4x² e-8t Find the Differential Operator for the Righ...

A: Consider    7x5+4x2e-8x Differential operator of 7x5 is D6Differential operator  of 4x2e-8x  is (D+8...

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A:

Q: V(x) = In(sin(x) – cot(x))

A: Use the formula of derivative of composition of functions

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: Compute fx, fy: f (x, y) = arctan(xy)

A:

Q: Find the number(s) b such that the average value of f(x) = 6x² – 26x + 32 on the interval [0, b] is ...

A: We have to find the value of b such that the average values of f(x)=6x2-26x+32 on the interval [0, b...

Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at t...

A:

Q: Complete the table. lim f(x) 3 x→3 2 = -00 lim f(x) %3D x -00 2 4 lim f(x) -2 -1 0 5 6 7 8 %3D lim f...

A: Solution

Q: x + 1 dx x,

A:

Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

A:

Q: af and dv se ди at (и, v) %3D (-3, -3). Use the Chain Rule to evaluate the partial derivatives- S(x,...

A: Given that: f(x, y, z)=x3+yz2x=u2+vy=u+v2z=4uv

Q: Draw the graph of g(z) Make sure to start at one of the endpoints, not the middle point. After finis...

A:

Q: A weight-loss counselor has prepared a program of diet and exercise for a client that gives the foll...

A:

Q: Find the value of k so that the value of f (2y- 1) dy is 10. 1 4

A: We have to find the value of k. 

Q: Evaluate the integral of xydx from x =3 to x=6 when x = 6cos angle and y=2cos angle

A:

Q: Given the series: ΣΗ 1 k +1 does this series converge or diverge? O diverges O converges If the seri...

A: Terms of a telescoping series will cancel each other except 2 terms in the series.

Q: At what x values in the interval [0, 27] does the function f(x) = sin² (x) – sin(x) have a %3| horiz...

A: Given that: f(x)=sin2x-sinx

Q: 45 6 7 2 3 8. -1 -2 -3 2.

A:

Q: Find all the values of a such that the given series would converge. (7x)" n5 n=1 The series is conve...

A:

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y= 2x–y dx

A:

Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2...

A:

Q: The following questions are intended to help you practice converting the Left Side of the differenti...

A: Given that: y''-2y'-15y=5x2

Q: Find the area enclosed by the x-axis and the curve y = -x² + 9.

A: Given, We have to find the area enclosed by the x-axis and the curve y=-x2+9.  

Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: x +1

A:

Q: A man on a wharf, 4.2 m above the water surface, is pulling a rope tied to a boat at the rate of 0.3...

A:

Q: f(x)=x2+9   g(x)=4x (f+g) (f-g) (fg) (f/g)

A:

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

A:

Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

A:

Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: (a) Different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find t...

A: Follow the procedure given below.

Q: Determine the continuity of the function at the given points. f(x) = [1, x-2, for x=1 at x = 1 and x...

A:

Q: Ordinary Differential Equations M- 06. Solve the following initial value problem over the interval f...

A: since you have asked about only part a  Given initial value problem dydt=yt3-1.5y     ; y(0)=1

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

A:

Q: 3x 3x 16 cos + isin 4. 4. Sa 5x 34 cos + isin 3 3

A:

Q: /8æ³ + 6z² + 27x + 36 Consider the indefinite integral dr aª + 9x² Then the integrand has partial fr...

A:

Q: Find the x intercepts of the function f(x)=5|x-3|-3 (pleaes show steps)

A:

Q: x² – 1 if x 5 | Given: f(x) = %3D 3

A:

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a- ...

A:

Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx. Fin...

A:

Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: dy VE (1 + y?/7) 21

A:

Q: Find the number(s) 6 such thát the average value of f(z) = 6x² – 26x + 32 on the interval [0, 6] is ...

A: Given that: f(x)=6x2-26x+32on [0, b].Average value is 11 on [0, b]