-x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter your answer in either 2x-2 exact notation or round to four decimal places.)

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Q: 14. DETAILS LARAPCALC10 2.7.004. Find dy/dx. y3 5x3 +7x

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Q: Let the graph below be the graph of one wavelength (period) of f. Then f(1) = 3 -2 -3 -4+ 03 cos 3 O...

A: Trigonometry

Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: get

A: We will find the rate of change of value. 

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Q: A population starts with 1600 members and increases with a relative growth rate of 17.2% per year. W...

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Q: 3. Let A C B. Which of the following statements is/are true? a. AnB CA b. AUB CB c. A\B is a singlet...

A: Topic  -   set and subset 

Q: Exercise: 1. Convert the Rectangular coordinates (-1,1, v6) to spherical coordinates. 2. Convert the...

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Q: Using the graph find the following: (6.5) a. lim f(x) e. lim f(x) X-4 (4.2) f. lim f(x) (2). (6.2) b...

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Q: (x+2)? Consider the ellipse whose equation is given by + (y+ 5)2 = 1. 25 What are the coordinates of...

A: Coordinates of vertices are:-

Q: Write the equation of a conic given by x2 – 9y2 + 2x- 54y-80=0 in standard form. (x+ 1)² (y+3)? 162 ...

A: The objective is to write the equation of conic in standard form. 

Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer below...

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Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: 8. Compute the derivative of the following equation. (1) y = (x +1)3(2x – 2)2 (ii) y2-4x² y+x=16

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Q: Write 58e" 0.64r in the form 58b" and interpret the value of b. Round b to four decimal places. 0.64...

A: Topic:- exponential growth function

Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: Find the exact value of the following trigonometric expression: cot y- csc y = Basic Funcs Trig

A: We can find the answer as below.  

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

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

Q: Determine the convergence or divergence of the series. 1 a) E п+3 n=1 1 b) E 2" n=1

A: topic -  series convergence and divergence test  

Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' = x...

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Q: Suppose f(x)=-3x2+2x+2 and a position of particle is moving by s(t) at time t such that: a)Find po...

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Q: Find (f^-1)'(a).  f(x)=4x^3+3x^2+8x+9,    a=9 (f^-1)'(a)=

A: Topic:- function and derivatives

Q: Solve the differential equation.

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Q: The path r(t)=(5 sin t) i+(5 cos t) j describes motion on the circle x^2+y^2=25. Find the​ particle'...

A: We have to find ​ particle's velocity and acceleration vectors at t=π/3 and π/6 . Given  r(t)=(5 sin...

Q: 3 -dx 4 - x

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Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

Q: The following logistic function models an animal population, measured in thousands, t years after Ja...

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Q: Use a finite sum to estimate the average value of f(x)=x* on [0,2] by partitioning the interval into...

A: To evaluate the f at the subinterval midpoint

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: Determine the degree of homoge of the given function: xy+ x* - y x4 + x² y2 – xy³ .3 f (x, y) = %3D ...

A: We are asked to find the degree of the homogeneity of function.

Q: solve the differential equation: y(2xy+1)dx+x(1+2xy-x3y3)dy=o

A: Given diffrancial equation y2xy+1dx+x1+2xy-x3y3dy=0Solution :y2xy+1dx+x1+2xy-x3y3dy=02xy2dx+ydx+xdy+...

Q: You go to the doctor and he gives you 17 milligrams of radioactive dye. After 20 minutes, 6.5 millig...

A: Given query is to find the atime taken to reah the radioactive to 2 mg.

Q: da (cos ( 3x) sin( 2æ)) dæ

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

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Q: 5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measu...

A: The objective is to find marginal profit for producing x units .

Q: 3) Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h. She...

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Q: The population of a country was 30 million in 1986 and the growth rate was estimated at 2.4% per yea...

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Q: Find the centroid of the region shown, not by integration, but by locating the centroids of the rect...

A: This question can be solved by finding the area and centroid of rectangular part and right angled tr...

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral wi...

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