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Q: A typical student in an Intermediate court reporting class can reach a level of recording W(t) = 40 ...

A: W(t) =40 +37 t2t2+22W '(t) = 0 +(t2+22)37(2t) -37 t2(2t)(t2+22)2W ' (t) =22*37*2t(t2+22)2W ' (t) =16...

Q: Suppose that f is continuous. 7 10 Find | f(x)dæ if | f(x)dæ = 10 and | f(x)dx = 13. 10 23 -23 O - 3...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergen 5(- 1)k+1 4k k=1...

A: Find your answer below 

Q: Consider the series 00 1 Σ n4 + 3n n=1 Complete the following application of the Comparison Test to ...

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Q: The displacement of a particle is given by s = 2t3 - 46t2 + 101t - 52 where s is in feet and t is in...

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Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the volu...

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Q: 4. Suppose a > 0. You are given the integral 00 1 2 Use differentiation under the integral sign to f...

A: We apply the given value to find the given integral . Follow 2nd step.

Q: f (x) If lim then lim f (x) and lim g (x) are equal. X-e g (x)

A: We are asked to find whether the statement is true or false.

Q: 2. Consrler he follawing linea prcoromming problem a) Construct Ale sholck lca associated th problem...

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Q: . Find the length of a radius of a circle with a central angle of 3pi/5 and an arc length of 24pi/5.

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Q: 3. A wagon is pulled a distance of 48 metres by a force of 30N applied at an angle of 51° to the roa...

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Q: f (x) = D윽과+1

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Q: 3x+2 dx find the second derivat. 2 9x

A: Topic:- derivatives

Q: (Suraw),com Which of the following integration expression can be transformed into integral of power ...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function f(x) ...

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Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy = 0...

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Q: f(x+h)- f(x) = -h/(x+h+3) (x+3) compute and simplify f(x+h) -f(x)/h

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Q: 6+ 2+ -4 -3 -2 4. -6+ 18x For the above rational function f( x) = identify its three inflection poin...

A: Explanation of the answer is as follows

Q: 3(sin y- cos y)* dy cos y

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3 ...

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

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Q: 9x2 lim x+00 x+2

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Q: Your parents are considering a 30 year $100,000 mortgage that charges 0.5% interest each month.Formu...

A: Given  P= 100000 r= 0.5% n = 360

Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x) ...

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Q: Activity 1: Remember Me Consider the situation below. Use your knowledge on probability in answering...

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Q: 1. What is the sum of the measures of the interior angles of an octagon?

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: on?(1+ g²) dy 2. § Ib'1+ s*) 1 + g².

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Q: dt t/ 12 1r² – 16

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Q: a) f(x) is a polynomial function. If f'(x) has a degree of 7, what is the degree of f(x)? b) Write a...

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Q: In cof '3x sinAte ech x² 2

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Q: Find the derivative using implicit differentiation. e^x+e^y=e^(x+y)

A: Implicit differentiation

Q: Given the diagrams below, fill in the correct missing parts of the equation. Be careful with + and -...

A: For third part of your question reupload it according to bartleby guidelines

Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

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

Q: For both exponential and log functions the base az1. 1) Explain what the exponenial function would l...

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Q: 7. The radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylin...

A: let r be the radius of cylinder    h be the height of cylindergiven drdt = 1 mhrdhdt = -4 mhrwhen r ...

Q: For the following functions y = f (x), find f ′ (a). f (x) = 3x2 − x + 2,      a = 1

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Q: find f ′(x) for each function. f (x) = x4 + 2/x

A: f(x)=x4+2x f'(x)=dfdx        =ddxx4+2x        =ddxx4+ddx2x       =4x3+2-1x2

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

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Q: 2. The function R(x) = -1.07x² + (K + 12.3)x - 116 shows the relation between the revenue (R) and nu...

A: Let's find. 

Q: find solutions of these differential equations: a. (xy^2 + y − x)dx + x(xy + 1)dy = 0

A: Given differential equation is (xy2+y-x)dx+x(xy+1)dy=0 Find the general solution of the DE

Q: Find the surface area generated by rotating the portion of the curve x-y = 0 from x 0 to x = 2 about...

A:  We have to find surface area 

Q: The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 pe...

A: This question is based on exponential Function.

Q: Question 2: Create a polynomial f(x) with real number coefficients which has the following character...

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Q: Activity 1 Determine whether the following functions are continuous or not. If they are not, classif...

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Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

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Q: Figure 1 below shows the graph of a piecewise function y=f(x). y Figure 1 (i) State all the point(s)...

A: i) The points of discontinuities are x= 0 x= 2 x= 5

Q: Given: xy=15. Find the equation of the normal line at x=5 a. 3x+5y=30 b. 5x-3y=16 c. 3x=5y d. 5x+3y=...

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Q: Integration by Substitution the integrals

A: Topic:- integration