7. The population of a certain city in Northern Ontario can be modeled by P(t) = in years from 2010. Graph this function using technology. During what period of time will the population of the city be in the range 90000 to 100000 people? 65 0.0025t + 3.35t where the population, P, is in thousands and the time, t, is %3D

Q: Exercise 1 Determine the relative extrema of f. (b) f(x, y) = 4xy² – 2r*y – x -

A:

Q: The functions f(x) = −(x + 4)2 + 2 and g(x) = (x − 2)2 − 2 have been rewritten using the completing-...

A:

Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

A:

Q: For each of the following functions, find all local maximum and mini- mum points. х, х# 3, 5, 7, 9 5...

A:

Q: Q 1) Find an antiderivative for each function. S dt : a) S (1 – cot? x) dx b) +2) dx

A: We know that,  Int(x^n)=x^n+1/n+1+c And, Int(1/x)=log|x|+c

Q: 2 Consider the function f(x) - A. 6x + 4x8. f(z) has a critical point at z = Find the value of A: A ...

A: The given function is f(x)=-6x2+4x-8 .............................. (1)  Differentiate with respect ...

Q: 4. y=x

A:

Q: Find the open intervals on which the function f(x) = ax² + bx + c, a ± 0, is increasing and decreasi...

A: Given f(x) = ax^2+bx+c, a is nonzero differentiate withe respect to x df/dx = 2ax+b for increasing d...

Q: The expression below is an evaluation of which integral? * 1 6 2æ + 2 In|æ| 2 In|æ – 3|+c | 523 + 62...

A: Using partial fraction. 

Q: For the demand function x=D(p)=/100-2p : (a) The elasticity is E(p)= (b) When p=25 , the elasticity ...

A:

Q: An expression that can be obtained from 4 sin 20 cos 20 + 13 sin 20 cos 20 cos 20

A: Given,            The expression is 4sin2θcos2θ+5cos2θ=13sin2θcos2θ.To find : The another expression...

Q: 9. Evaluate the definite integrals (give exact answers): a) (2x + 3)(r – 5)dx b) e -(1³ – 2x² + 1)dx

A: I am attaching image so that you understand each and every step.

Q: True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible ...

A: We have to find the our statements are true or false

Q: Suppose f(x) is continuous and increasing on [a, b], and concave up on (a, b). Is T6 (the Trapezoid ...

A:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A: NOTE: Refresh your page if you can't see any equations. . here the given interval is 

Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (c) Find t...

A:

Q: Find r²e* dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 20x + 1125 The average cost for a company to produce x units of a product is given by the function A...

A: Given problem:- The average cost for a company to produce x units of a product is given by the funct...

Q: Answer the following equations for fu the dereviative of (fg)(x) by using the differentiation o the ...

A: We have to find the derivative of the following given function according to the given information

Q: 7. y= tan e+ e

A: This is a problem of differentiation of the function. By using general formula of the differentiatio...

Q: 2x-2y* If f(x,y)={3x² +3y² if (x, y) # (0,0) then: m if (x,y) =(0,0) f(x,y) is continuous at (0,0) i...

A: To check whether the function is continuous or not. Given information: The function is f(x)=2x4-2y43...

Q: Let fx) = 10x +4-15 ex, Then the equation of the tangent line to the graph of fa) at the point (0,-1...

A: I am attaching image so that you understand each and every step.

Q: 7. The current population of St. Catharines is about 133000. Suppose a major devel- opment is planne...

A:

Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: Tork Problems [. Evaluate the integral xV x+1 dx

A:

Q: suppose for a particular commodity, e=.25 and that currently 90,000 units are selling for $6 each. H...

A:

Q: Find the equation(s) of the tangent line(s) to the graph of 9 x – 4 xy + 16 y = %3 25 at points wher...

A:

Q: sin'x+8 sinx+16 sin’x+4 sinx

A: topic -  trigonometric function 

Q: Solve for x. = x + x² + x' + ., ]x| < 1 ... 11 + 11x (Use symbolic notation and fractions where need...

A:

Q: 1. Consider the differential equation 2y" + 7y' – 4y = sin 3x + 4e#/2. %3D (a) Determine the form of...

A: topic   -  differential equation 

Q: Consider the function whose graph is shown below. Determine if the function is continuous at the fun...

A:

Q: Use the Comparison Test to determine if the series 5n cos 2n - n³ + n² + 1 n=1 converges or diverges...

A: Given query is to find series converges or diverges.

Q: (r'+2) dx

A:

Q: You invest some money in the stock market at time t = 0 months. If f(t), measured in dollars per mon...

A:

Q: Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1

A:

Q: A sample of radioactive material starts with 0 grams . After 3 half -lives have passed , how much ra...

A: Let's find. 

Q: Being z = ax'y1+ bx*y3, with a and b constants. P is a point given by (-1, -1) and it is known that:...

A:

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: The graph of a company's marginal profit P'(t) at month t is shown over the interval [0, 42] a. On w...

A:

Q: Use a graphing utility to find the polnts of Intersection of the graphs of the equations. Check your...

A: Given query is to find intersection points.

Q: 2020, the population of Ethiopia was 1.65 times as large as the population of Thailand. We can also ...

A: Given query is to find the population of Ethiopia in terms of percentage of population of Thailand.

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

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

Q: Given that n21 and xn = V5n2 + 2n -3n 00 1. Will {xn}, be divergent or convergent? 2. Will E=1Xn be ...

A:

Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

A:

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: Exercise 1 Determine the relative extrema of f. (a) f(x, y) = 18x² – 32y² – 36x – 128y – 110

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

Q: The relationship between a professional basketball player's height H (in inches) and weight W (in po...

A:

Q: dy 9. Find for y=xVx+ 1

A:

Q: 5] compute: 7A -5B where: 2+3i itqi -si A = 3+7i -4 ?b-8 7 3ti 2+si ?5-8 5-2i -4-3i 8ミ チ+

A: