250t onsider the population function p(t) = t+1 Find the instantaneous growth rate of the population for t> 0. What is the instantaneous growth rate at t=6? At what time is the instantaneous growth rate the greatest? Evaluate and interpret lim p'(t). Use a graphing utility to graph the population and its growth rate for 0sts

Q: Find derivative: y = cot¬'( )+ tan-1 x³. [Simplify answer

A:

Q: If z(x, y) = 3x + 4y , x = t² and y = 2t. Determine the value of t where dz = 0 dt answer: 5.

A: Solution:  

Q: coth v csch v dv 0.1

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. ř(-1)*+1k! (2k...

A:

Q: Inx 56. f(x) %3D

A:

Q: If f(x, y) approaches 1 as (x, y) approaches (0, 0) along the path y = mx, where m is any real numbe...

A:

Q: əx = 7 , at ay ay = -2, ax Əz -4, = 5, as az at 9 ду as (c) ax az = 26 at az -38 , answer: as ду ду ...

A: We are going to solve using chain rule

Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: We have to find the zeros of the given polynomial.

Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6...

A:

Q: dy Which of the following functions can be used as an integrating factor to transform the differenti...

A:

Q: 18. Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1. show solution

A: It represents hyperboloid. 

Q: 2x+10 dr 1²(x – 4) Evaluate

A: Indefinite integral

Q: (1+ 3x X 1

A:

Q: 4. Determine the following derivatives without simplifying either before or after. (YOU MAY USE ANY ...

A: Using given formula then solve it. 

Q: c. Consider the function h(x) = 0.4 sin(0.8x) + 6. i. What is the period of h? radians Preview ii. W...

A:

Q: | tan įx sec? įx dz:

A:

Q: Let f(r) = |3 + 67 . en for z (1) = The left-hand derivative of f(x) at = is -36 The right-hand deri...

A:

Q: Question 3 3. Evaluate 2 dr. sin Upload Choose a File

A: Here we have to evaluate 3)  I=∫sin2xsinxdx

Q: to 2 decimal place accuracy Determine the range of x-values for which - x- x + e* 9.

A: We need to find range of x-values.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A:

Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane ...

Q: 1 (Б) ' (1 + k)l/5 This series converges. eTextbo may or may not converge; it cannot be determined. ...

A:

Q: dx

A:

Q: Vw² – 2w +3 lim W +5 W→-00

A: limw→-∞w2-2w+3w+5

Q: Solve. 3r = 27r The solution(s) is/are. (Simplify your answer. Use a comma to separate answers as ne...

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

Q: y = [x + (x + sin² 3x)°]

A: Given query is to find the derivative of the expression.

Q: 0.3 11. Use appropriate series to estimate SIn |In(1 + x') dx to 6 decimal place accuracy

A: The estimated value of the given integral upto 6 decimal place accuracy is 0.002009

Q: f(x) = x³ + 4.5x? – 12x – 2 a) Determine the intervals on which f is concave up and concave down. f ...

A: Answer A: f(x) = x3+ 4.5x2-12 x- 2  f'(x) = 3x2 + 9 x -12  f"(x) = 6 x + 9f"(x) = 0 = 6x + 9x =-32Co...

Q: 10. Determine the upper bound on the error in the approximation = x - 16x5 + 256x° if |x| < 0.2 1+16...

A: We need to find upper bound on the error.

Q: Compute VP(1,2)|. Please round your answer to 4 decimal places.

A:

Q: Decide whether the limit exists. If it exists, find its value. O A. 1 Find lim f(x). О в. О OC. 21 A...

A:

Q: An angle measures 2.1 radians and the initial ray of the angle points in the 3-o'clock direction. A ...

A:

Q: Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function...

A: First we find out P(x) using P(x)=R(x)-C(x)

Q: 3. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above th...

A:

Q: k-1 Since the series can be rewritten in the form )4 it is a geometric series with: k=1 a = r = Give...

A: Expand the series using values of k

Q: 9. It needs 8 persons to dig an irrigation canal in 15 days. How many persons are needed to do the j...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: 2+7 sin z 3. dz cos? z

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos(÷)y, -2< ...

A: Let's find. 

Q: 9. What is the solution of (x? +2xy – 4y? )dx - (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x? ...

A:

Q: Differentiate. f(x) = 3x(5x + 4)° O A. f'(x) = 3(5x+ 4) (20x + 4) O B. f'(x) = 3(20x + 4) OC. f(x) =...

A: Given query is to find the derivative of the expression.

Q: The profit of a company, in dollars, is the difference between the company's revenue and cost. The c...

A:

Q: f(x+h)-f(x) The expression for h +0 is called the difference quotient. Find and simplify the differe...

A: .

Q: 10. The following equations are exact except a. (2xy – y)dx + (x? -x)dy = 0 b. 2xydx + (y? + х?)dy %...

A:

Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: 00

A:

Q: 2. In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number...

A:

Q: For the function f (x) = 1 - 1                                       (x +2)2 ,  find the following ...

A:

Q: Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) g(t) = 3t2 - 4t ...

A:

Q: INTEGRATE THE FOLLOWING FUNCTIC PROBLEM 1: int. sin^3 y cos y dy

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A: