A population P, is increasing proportional to (400 - P), and P never gets larger than 400. At t = 0 the size of the population is 10, at t 4, the size of the population is 15. What is the size of the population at t = 10? Round to the nearest whole number. O 378 O 282 O 22 O 1

Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. 6 √x - 30 x - 25…

A:

Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

A:

Q: How is the series 5 + 8 + 11 + ... +77 represented in summation notation? 25 ΟΣ(3q + 5) q=0 17 ΟΣ(4q…

A: Given Series is  5+8+11+........+77

Q: For numbers 21-23, consider g(x) = 5x² - 2√x³ 21. Which of the following shows the domain of g(x)?…

A:

Q: Please answer completely. Step by step. Evaluate. S (x-4) dx 2 x²+x-6

A:

Q: Use the Ratio Test to determine whether the series convergent or divergent. Σ n=1 Identify an…

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A:

Q: Which recursive sequence would produce the sequence 7, -30, 155, ...? a1 = 7 and an a₁ = 7 and an O…

A: Given :Sequence : 7, -30, 155, ...

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = e* sinh t L{f(t)}…

A:

Q: Find the limit. lim X-X lim X-8 sin 6x 5x sin 6x 5x = (Simplify your answer.)

A:

Q: 5. S 3x - 4 3 2 X N +2 dx

A: The given integral is (3x4-4)/[x3(x2+2)].

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A:

Q: Consider the following. Function у = 5e1 - *2 (a) Find an equation of the tangent line to the graph…

A:

Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

A:

Q: 2) (a) Differentiate the function by using rules. f(x)=7-3x² + 4x (b) 1 f(x) = √x + ¹ X

A:

Q: Find the exact value of the expression using the provided information. Find sin(s+t) given that cos…

A: Please see the below picture for detailed solution.

Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: we have to find limit of function  here function is given y = x x =4 and x axis  x axis means x = 0…

Q: 9. The marginal cost of producing a tablet computers is C'(x)= 1200.06x +0.00001.x² (a) What is the…

A: The marginal cost of producing 'x' tablet computers is C'x=120-0.06x+0.00001x2 a To determine the…

Q: Use linear approximation to approximate cubrt(28)

A:

Q: Consider the following. Function y = 5e¹-x² (a) Find an equation of the tangent line to the graph of…

A:

Q: Norma is running a race. Between time t = 0 min and t = 15 min, her speed is 4 miles an hour;…

A: Given speed of Nomra from 0 to 15 min is 4 miles per hour Speed of Norma from 15 to 30 min is 6…

Q: II) Given: • tan a = 2√6, a € [0, π] 3 •cos 3 = and sin 30 5 Find the numerical value of the…

A: given tanα=26,  α∈0,πsince tanα is positive and α∈0,π, so α lies in quadrant 1

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then the integral = - for…

A: f(t)= t, 0<=t<1          1, t>=1.

Q: Suppose the Maclaurin series of a function is f(x)=2+3x+2x² + x³ + x² + .. Find the first four…

A:

Q: 3 2 (x+2) dx (x-1)3

A:

Q: The doctor has ordered Librium 25mg IM. The vial is labeled Librium 100mg. The directions state to…

A: Given Quantity of Librium ordered = 25mg Vial labeled Librium = 10 mg Water to be mixed with 100 mg…

Q: Find the unit tangent vector T, the principal unit normal vector N, and the unit binormal vector B…

A: Consider the curve     Ct: rt =cost,sint,t (i) unit tangent vector                  The unit tangent…

Q: Use identities to write the expression as a single function of x or 0. cos (0+ 270°) cos 0 -sin 0…

A:

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A: Our Aim is to find the sum of the first 6 terms of the following sequence givenbelow:-8, 4,…

Q: Consider the following initial-value problem. y" 5y' = 8e4t4e-t, y(0) = 1, y'(0) = -1 Find L{f(t)},…

A: We need to fill in the blanks

Q: A cylindrical tank of radius 10 ft and height 15 ft is two-thirds filled with water. Find the work…

A:

Q: Rewrite the following equation with the variables separated: y' + 6x sin(y) = 5 sin(y). dy 5-6x dy…

A: The objective is to find the correct option.

Q: The base of a three-dimensional figure is bound by the line y = -2x + 5 on the interval [-1, 2].…

A:

Q: 10. Determine whether the following series converges. k 11k4 +1 Σ(-1)+1- k=1

A:

Q: Use the Quotient Rule to find the derivative of the function. f'(x) = f(x) x X-5

A:

Q: Assume v(t) = 6t - 12 on the interval [0, 6]. What is the total distance that the object traveled on…

A:

Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. b. 1 k=1 √k³ -k+1 5n…

A: The given series a) ∑k=1∞1k3-k+1b) ∑n=1∞5nn3+1

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

A:

Q: If f(x)=x²-4, which of the equations below describes the average value of f(x) over the interval [4,…

A: To find the average value of f(x).

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, . . .…

A:

Q: sin²0 + tan²0 + cos²0 Otan ²0 cos ³0 sin 0 sec²0 ty the e

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the average value have of the function h on the given interval. h(u) = (9 — 6u)−¹, [−1,1]

A:

Q: Use an identity to write the expression as a single trigonometric function or as a single number. 2…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y" + 7y' + 6y = 0, y(0) = 1,…

A: Use Laplace transform

Q: ich of the following formulas would be used to calculate the trapezoid approximation of Jo 2x dx…

A: Topic:- application of integration

Q: A spring whose natural length is 14cm exerts a force of 53N when stretched to a length of 18cm. (a)…

A:

Q: T Sin ³ de 3 1-cose

A: I have stated the used formulas in the solution

Q: Determine the equation of the ellipse with center (6, -6), a vertex at (13, -6), and a co-vertex at…

A: