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Q: . Find the x-values in [0,2π) where y = 3 cos x sinx has a horizontal tangent

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Q: The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information…

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

Q: What are the steps for finding the derivative of the function below P'(10)?   P(t)=20.6e^-.006t…

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Q: Solve for x. log x - log(x + 5) = -1

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

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Q: Q1. Solve the following differential equations: a.1) Consider that x = 1, y = 1 y ²=²-1 X y'

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Q: f(x, y) = x² + y² as (x, y) → (0, 0). Assume that polynomials, exponentials, logarithmic, and…

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Q: 1. Find the volume of the solid formed by revolving the region between y = √x and y = x² about x =…

A: Given the region is bounded by two equations and revolves about x=-1 axis.

Q: A ball is thrown straight down from the top of a 462-foot building with an initial velocity of -16…

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Q: 2. The input of a function C is time of day since midnight. The output is the number of cars in the…

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Q: 7) lim X-7 (x-7)2 using the precise definition of limits.

A: Given :- -1 /(x-7)2We can directly put the value of limit as it already simplified.

Q: Consider the differential equation y"+3y'-40y = 0. The characteristic equation is The solution(s) to…

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Q: A particle moves along a line so that its velocity at time t is v(t) = t²-t-20 (measured meters per…

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Q: 2.) Solve the following equations using the method of your choice. Write the solution set in exact,…

A: The formula to calculate the roots for the quadratic equation  is:

Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line.…

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Q: Use the graph of f(x) below to find the following derivatives. Write DNE if the derivative does not…

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Q: (c) lim (e4-3x) x4x

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Q: Determine, with justification, whether the following series converges: 4 9. Σn=1 √n

A: To determine with justification, whether the following series converges.

Q: A tank, shaped like a cone has height 11 meters and base radius 3 meters long. It is placed so that…

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Q: Theorem af Let the functions f and be continuous in some rectangle a 0 or 2t + 11y 0 2t + 11y 0…

A: We have to state where in the ty-plane the hypotheses of the theorem above are satisfied.First we…

Q: bung period of a bacterial population is 20 minutes. At time population was 60000. What was the…

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Q: Find the time it takes for $8,400 to double when invested at an annual interest rate of 19%,…

A: Given initial amount is $8400.given interest rate is 19%

Q: Use the graph of each function to estimate intervals on which the function is increasing,…

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Q: f(x) = = x² + 3x; a = -1, 4

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Q: 2. This question concerns the graph of the function x² (2x² - 8) x(2x - 5)√4x²+3 (a) What x-value(s)…

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Q: Solve the differential equation. y"-8y +16y = 0, y(0) = 5, y'(0) = 25

A: We have to solve the differential equation with the given initial condition.

Q: how would you solve this question? i don’t really understand why the variables do not cancel out.…

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Q: Example 5 Video Example < Differentiate. 5 sin ¹(x) (b) f(x) = x arctan(√x) (a) y = Solution (b) 68…

A: Determine the derivative of given functions

Q: Consider the differential equation y"-10y'+25y = 0. The characteristic equation is The solution(s)…

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Q: Given that find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim [f(x) +…

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Q: Find the derivative of the function. 7x √x² +6 y=

A: Here the given function is now we have to find the derivative of the function that is we need to…

Q: The radius r of a sphere is increasing at a rate of 9 inches per minute. (a) Find the rate of change…

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Q: Find the tangent plane to the equation z = point (8, 16, 3). z = 2 3e²-48 at the

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Q: Use the Squeeze Theorem to evaluate the limit Enter DNE if the limit does not exist. Limit = lim sin…

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Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

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Q: Find the slope of the line tangent to the polar curve at the given point. (-5,75) 2'6 r = 5 sin 0;…

A: Slope of the line tangent to the polar curve is given by-

Q: 2. The region is bounded by y = sin x and y = cos x between x = 21+ and x = 9πt 4

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Q: Give a geometric description of the following set of points. x² + y² + z² - 10z≥ − 9 Select the…

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

Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

A: given

Q: Use algebraic methods to find as many intersection points of the following curves as possible. Use…

A: Given: we have two curves                      Explanation: we have two curves                   To…

Q: Find f'(a). f(t) = Since f(t) Step 1 To find f'(a), we will use the formula f(t) - f(a) t-a 7t + 15…

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Q: A rock thrown vertically upward from the surface of the moon at a velocity of 36 m/sec reaches a…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: Find Dxy. 7) y = ln (sinh 11x)

A: Given the expression  of y.

Q: We are told that sand is creating a cone-shaped pile that is growing in size as sand is added. We…

A: GivenRadius = rheight hThe diameter of the base of the cone is approximately three times the…

Q: Determine, with justification, whether the following series converges: 1 12. Σ=0 7+3

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: Solve the initial value problem fort> -1 with y(0) = 3. y = dy dt 9(t+1)- - 7y= 14t,

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Q: Solve the separable differential equation dx 7 dt X = 2 x and find the particular solution…

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Q: Find the limit of the sequence {an} if it converges; otherwise indicate that it diverges, where 2.…

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Q: For the graph of the function g below, (a) Does g(4) exist? (b) Does lim g(x) exist? x 4 (c) Is g…

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