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

Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection wi...

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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: 4. lim x5 – x* – 2x3 – 3x2 – 2x + 1 X--00

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

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

Q: • Solve the differential equation and apply the given conditions. d²y dy -5- 5 dx2 dx : + 6y = 0 y(0...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 Pa(x) =

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

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Q: х3-2 2. lim x→o 5x*-3x3+2x

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Q: Find the derivative of the following. Ax) = (x)sin x h(x) 1+ csc x 1- csc x

A: Given : f(x)=(x)sinx h(x)=(1+cscx)/(1-cscx)

Q: Find the radius of convergence and the interval of convergence. k +9 Radius of convergence: Interval...

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Q: Which of the following integration expression can be transformed into integral of power (Choose 2)

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Q: Activity 1. Evaluate the following limits by applying the Limit of Sum and Difference of Functions. ...

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Q: 8. Given f(x,y)= y°e 5x , evaluate the following higher order at point (0,1). a) answer: -30 ôxôy? b...

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Q: 4.  Find the area of the circular sector given a central angle of pi/5 and a radius of 3 inches.

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Q: e +e =e**

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Q: 3% during each of the past 6 years and that a member of COLAS Suppose the cost-of-living index had i...

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Q: Consider the function f which is given on its domain (0, ∞) by f(æ) = 182? (36x + 9) In(x). • Find t...

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Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y2 + 5xy – 2y + 4)dx + x(2x + ...

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: Find the absolute minimum values of f on the given interval. (Round your answers to two decimal plac...

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Q: e6x _4e' —6х lim x→-0o 2e3x-5e-9x+e-3x

A: Topic:- calculus

Q: Prompts Submitted Answers Se'sin(e")cos(e")dx Choose a match a eu +C Sxe*cos(e*)ax a un+1 + C n+1 a ...

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

Q: 4-4e" Evaluate lim,→0 3x+x15 4 15 4 15 4 3

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Q: Use C for any constant of integration. ' 6x³ + 2x? – 20x – 12 - - dx = x² – 4 -

A: We have to find value of given Integral

Q: For all n and m, evaluate: " sin na cos ma da

A: We have to solve given integration

Q: Find the radius of curvature of the curver= 4+3 sin 0 at 0 = 0. 3.7665 3.7566 O3.6765 3,5667

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Q: 9. Compound interest. If an amount Po is invested in the Mandelbrot Bond Fund and interest is compou...

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

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Q: /14-х-3 lim 1-V6-х X→5 4-Vx lim х>16 16-х

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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: 5 =5 Hence, 6"-1 is divisible by 5 is (10.). for n=1 Part 2: Assume that 6" - 1 is divisible by 5 fo...

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Q: The integration expression sin(3ln(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable c...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) =

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Q: 5) Ssech"2tdt

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Q: Verify that the function y(r) = 2, is a solution of the initial value problem dy + 2y = 3y, v(0) =; ...

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Q: 2. [ * xkbr cos*x- sin 3(sin y- cos y)° dv 10. cos y

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Q: In this problem, you wl find the volume of the solid generated by revolving the region bounded by th...

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Q: 2 2 4x – 9y = 1 find the thirdderivative

A: Given that 4x2-9y2=1 Find the third derivative

Q: 2х-4 . lim e x+1 -22х-5 n--00

A: Topic:- limit calculation

Q: Determine the limits of the following using the table of values 1. lim 3x 2. lim (x2 – 1) x→ー1 3. li...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: dv le2cos(sin¬{w) _ 4 dv dv= 4+ ecos(sin-(x) 1-x2

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Q: 1 f(x) = (1 + x)5 00 f(x) = n = 0

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Q: a) Find the exponential growth rate k, to three decimal places, and determine the exponential growth...

A: A) Price in 1950 = 30,000 Price in 2004 = 104,168,000 V(t) = V0 e k(t) .......(1) where k>0 as th...

Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). 3 -1 0 i 2 ...

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Q: 5. prove thatS" erf (x) dx =o CA

A: ddx(erf(x)) =2 e-x2π   I =∫-aa erf(x) dxI= erf(x) x -∫ ddxerf(x) x dxI = x erf(x) -2π∫ x e-x2 dx-x2 ...

Q: 3(sin y– cos y)°dy cos y

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Q: 57. Minimizing cost of materials. The cost C, in dollars, to build a fence around a rectangular fiel...

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Q: Find * of the following implicit functions. 11. In y = e' sin x

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Q: How are each terms related to one another in the sequence 2 , 90 , 4 , 87 , 6 , 12 , 8 , 51 , 10 ?

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Q: 5. dx of y = (1+e-*)²/(1-e-*)

A: We need to find the derivative of the given function.

Q: Find the elasticity of demand for a product if the demand function for the product is q = 2620p -0.5...

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