Calculus The current population of a small town is 2848 people. It is believed that town's population is tripling every 9 years. Approximate the population of the town 6 years from now.

Q: Use the given substitution to express the given radical expression as a trigonometric function…

A:

Q: What is the arc length of the curve of x5 y = + 10 1 6x3 from x=2 to x = 5?

A:

Q: 6x − 3y + 2)dx − (2x − y − 1)dy = 0

A:

Q: 2. Suppose that f (x, y), g(x, y) are two continuous functions on the xy plane. Is it true that So…

A:

Q: Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level…

A: Given that, the function is z=c=x2+3y2 and c=0,5,7,9,11,13. For c=0 the function c=x2+3y2 becomes…

Q: Consider the function f(t) = 6 and real number a = - 4. X a. Find and graph the area function A(x) =…

A:

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A:

Q: X f f(x) = (2x+1) ³ (x-3)4 then f'(0)= Selected Answer: 1

A: In this question we have to find first derivative at point zero.

Q: 8 Find the sum of Σ n=1 A) 1 9n²+3n-2 hint: (partial fractions) 2 B) B)=1/12 (C) / D) = E) 3 4 3 F)…

A: According to question,Given Summation,∑n =1∞ 19n2 + 3n -2

Q: ections at the given point

A:

Q: Question 4 Find r'(t) given the following vector function. r(t) = 2/³i+34j+37²k O r'(t) =…

A: We have to find out derivative

Q: ● 0.010 Question 17 Find and simplify the function h (x, y, z) = 0 2 31 04 31 O = O 2 17 N 8 31 4 17…

A:

Q: The cost of fuel per hour for running a ship is proportional to the cube of the speed and is P1,350…

A: The given problem is solved below in detail.

Q: Choose the direction vector for which the function f defined by f(x, y)= sin(5x) cos(3y) has the…

A:

Q: b. Stan ³0 sec²0 do

A:

Q: Evaluate the following integral using the Fundamental Theorem of Calculus. Discuss whether your…

A: We need to choose correct option.

Q: Let f(x)=√x - 7. Then lim h→0 f(3+h)-f(3) h 1 2√3 If the limit does not exist enter DNE.

A: Laplace transform:- If limh→0f(h)g(h) is of the form 00 then limh→0f(h)g(h)=limh→0f'(h)g'(h) and so…

Q: The region is bounded by the curves of y = x² and x = y². Find the integral in line y = -1. Use…

A:

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

A:

Q: Find and simplify the function values. f(x, y, z)=√x+y+z

A:

Q: Let H(x) = f(x) - (x²+5) where f is the function described by its graph below. 3 2 1 0 What is H'…

A:

Q: onsider the following. w=x^2/y ,  x=t^2 ,  y=t+1 ,  t=3 (a) Find d2w/dt2 using the appropriate…

A: Given :w=x2yx=t2  y=t+1t=3

Q: Simplify. 2 sec 2 X 2 - 1

A:

Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

A:

Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(2² +1²) dA…

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

A:

Q: Find the definite integral that will compute for the area of the region bounded by y = tan x, x = 0…

A: We can find the area bounded by the curve .

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

A:

Q: Find the volume when the following region is rotated about the y-axis: y = √4x², y = 0, x = 0.

A:

Q: Let R be the region between the curves x = 36- y² and x = y² - 36. (a) These curves intersect when y…

A:

Q: Use the divergence theorem to evaluate ]] F .dɔ̃ where F = xyi – ¹⁄y²j+zk and the surface consists…

A: Here, the surface consists of the three surface z=4-3x2-3y2; 1≤z≤4 on the top x2+y2=1, 0≤z≤1 and z=0…

Q: Evaluate the integral [x x cos x dx

A:

Q: Find ow/os and aw/ot using the appropriate Chain Rule. Function Values w = sin(7x + 8y) x = s+t,…

A:

Q: An annular cylinder has an inside radius of r and an outside radius of r2 (see figure). Its moment…

A:

Q: Find and simplify the function values. f(x, y) = xy

A:

Q: Differentiate implicitly to find the first partial derivatives of z. x In(y) + y²z+ z² = 93 дz əx дz…

A:

Q: 5. Find the volume of the solid formed by rotating the region bounded by the graph of y=1+√x, the…

A:

Q: C 3X -2 3X Se ³x (e³x +4)² dx

A:

Q: The rate of change of N is inversely proportional to CSC(x) · N(x), where If N () = 1, and N (5) =…

A: Given: dNdx∝1cscx.N

Q: Find the solution of the given initial value problem 150y" + 25y"+y′ = 0, y(0) = −14, y′(0) = 10,…

A:

Q: Consider the function on the interval (0, 2). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

A:

Q: Find the point(s) at which the function f(x) = 6 - 6x equals its average value on the interval…

A:

Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph…

A:

Q: Question 6 Find the indefinite integral below. (3³¹-5sin - 5 sin(5t)j +15cos(5t)k)dt Do not include…

A:

Q: Use la definición de derivada f'(x) = lim 1-0 7x + 2-5 Envie sus computos a Blackboard. De ne For…

A:

Q: Prove the identity. 1 + sin x 1- sin x = (secx + tan x)² To verify the identity, work each side…

A:

Q: Utilice el teorema de Sandwich (emparedado) para demostrar que lim [x Envie sus computos a…

A: