ion The population of rats, R(t), in a small town's sewage system t years after the beginning of the year 2000 is given by R(t)=3300e0.05t Find the AVERAGE population of rats in the system from the beginning of the year 2002 to the beginning of the year 2012. ROUND YOUR FINAL ANSWER TO THE NEAREST RAT. The average popualtion was about rats.

Q: If the tangent line to the curve y = f(x) at (4, 3) passes through the point (0, 2), find f (4)

A: If the tangent line to the curve y=fx at 4, 3 passes  through the point 0, 2, then to find f4.

Q: Find dy da dy da if 9 y² = -5 2² - 10.

A:

Q: (c) Find the matrix corresponding to the quadratic form: Q(x) = 8x² + 7x² − 3x² − 6x₁x₂ + 4x₁x3 -…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The dimensions x and y of an object are related to its volume V by the formula V = 8x²y. dV dy dt a.…

A: Please refer to the image below

Q: 00 2 ln k k (2) Σ k=1 O 2 In k k 2 ln k k 2 In k k 2 In k k 1 k > 00 k > 2, Σ = diverges, Σ k k=1…

A: To determine whether each of the following series converges or diverges. (a) ∑k=1∞ 2 ln kk (b) ∑k=1∞…

Q: The time between incoming phone calls at a call center is a random variable with exponential…

A: This is question of calculus  here exponential function is given  further calculation is given below…

Q: at the point (π, -5T). The equation of this tangent line can be written in the form y = mx + b where…

A:

Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume…

A: Let the edge of the cube is x cm The given data is: dxdt=8 cm/s

Q: Consider the surface z = = 2x² - 3y². (a) Find the equation of the tangent plane to the surface at…

A:

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A:

Q: The table shows values of a force function f(x), where x is measured in meters and f(x) in newtons.…

A:

Q: AB2: Evaluate lim f(t)dt x1 x³ + 1

A: see below the answer and calculation

Q: The top of 25-foot ladder is sliding down a vertical wall at a constant rate of 3 feet per minute.…

A: This question is based on application of differentiation.

Q: => > - [ + (x + ² x)² ] h) sin sin Final Answer

A:

Q: (H'OF)= (Type an integer or a simplifi

A: Given :Total card = 52

Q: y6 Find the length of the curve x = 6 + 1 16y4 from y = 1 to y = 3.

A:

Q: Find the absolute change and the relative change in the following case. The number of daily…

A: Here, we have given number of daily newspaper in year 1900 and in 2010 the number of newspaper…

Q: It's only one question but it has 3 parts. Here I spend one more question can you please do the…

A:

Q: Given Cost and Revenue functions C(q)=q3−10q2+52q+5000 and R(q)=−3q2+2400q​, what cost is…

A: Given cost function C(q)=q3−10q2+52q+5000revenue functionR(q)=−3q2+2400q​

Q: x² (2 + ex²) ³0 dx Sxex²

A: To evaluate the following integral.  ∫xex22+ex23 dx

Q: A water balloon is thrown upward from a window that is 75 meters high with an initial velocity of 19…

A:

Q: 1. Practice similar Help me with this Find the area enclosed between f(x) = 0.2x² + 7 and g(x) = x…

A:

Q: Find the x- and y-intercepts. -5x-8y = 40 Write each intercept as an ordered pair. If there is more…

A:

Q: Now we evaluate the numerator at these values, to check if it is also 0. At x = -1/2, the numerator…

A:

Q: A single card is drawn from a standard 52-card deck. Let H be the event that the cam probability. P…

A: Given :Total card = 52

Q: Differentiate y = x COS X

A: For the following problem

Q: dy Given y = (6x2 + 8x + 11). e find da dy da =

A: Given query is find the derivative.

Q: Q6.1 Find an equation of the tangent line to the curve at the point (1, 2). Show all your work. x³y…

A:

Q: Find g'(10) if g(x) is a differentiable function satisfying g'(10) = 9. g(x) + x sin(g(x)) = x² 100…

A:

Q: A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a…

A:

Q: For the points (3, −3) and (1, 3), (a) Find the exact distance between the points. (b) Find the…

A:

Q: - (+)0 log, (v)-log(x)-7log(a) 3 XO

A: We will find the required.

Q: Evaluate the integral. 1/3 2 tan5(x) sec5(x) dx

A: Given intergal:- ∫0π32tan5xsec6xdx

Q: 1 please

A:

Q: The life ? (in hours) of a battery in constant use is an arbitrary variable with exponential…

A: Hi this your answer.

Q: In a lottery game, a single ball is drawn at random from a container that contains 25 identical…

A: Given :Total number = 25

Q: Suppose that the distances x and y are changing with respect to time and satisfy the equation 2 x² +…

A:

Q: Hi, please see  the image attached and answer the questions that follow. also please use working and…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Homogeneous DE M(x,y)dx + N(x,y)dy = 0 is Homogeneous if both M and N are homogeneous functions of…

A:

Q: Consider the following. Find f'(x). f'(x) = f(x) = - Find f'(-1). f'(-1) = 3,2 2 equation y = + 9x +…

A:

Q: (a) Find the equation of the tangent plane to the surface at the point (2, 2, -15). (Use symbolic…

A:

Q: Please note that this graph has vertical asymptotes of x= -1 and x = 1, and no horizontal asymptote.

A:

Q: Suppose that f(x, y) = x² + y² at which 0 ≤ x, y and 4x + 9y ≤7. 1. Absolute minimum of f(x, y) is…

A:

Q: Find the price at which consumers stop demanding flip-flops. Round to the nearest cent. p=$___ per…

A: Given:      Dp=-0.652p2-27.815p+903.261 million pairs      Dp=747.886 The price at which consumers…

Q: Differentiate the function G(x)=√ +2e² =) =

A: Given query is to find derivative.

Q: The endpoints of a diameter of a circle are shown. Find the center and radius of the circle. (-2,2)…

A:

Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A: This is a problem related to algebraic operations. Please follow the procedure given below.  As per…

Q: Find all zeros (if any) of the quadratic function y = 2x² - 2x - 7. NOTE: Enter your zeros exactly.…

A: Given query is to find the zeros of the quadratic.

Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 50L0.8K0.2 where L…

A:

Q: Find the local maxima, local minima, and saddle points, if any, for the function z = = 4x² - 36xy +…

A: