1 The 2nd degree Taylor polynomial for the function f(x) = In x, xo = 3 is P2(x) = In(3) + ÷(x– 3) + -(x– 3)² 18 True False

Q: 3. Eliminate the arbitrary constants c, and c, from y =c, +C,e* y" - y +x = 0 c. y" - 3y' = 0 a. b. ...

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Q: the ratio test to determine whether the series converges. If the test is inconclusive, then say so. ...

A: Please refer to the image below 

Q: Let f(z) = 5 - 51. Then the expression f(z + h) – f(z) h can be written in the form (VBz + Ch) + (z)...

A: We have to find A ,B , C and f'(1) , f'(2), f'(3) and lim  h→0  fx+h-fxh Given fx=5-5x

Q: an annual interest rate of 4.3% per year, compounded semi- annually. How much money will be in the a...

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Q: -0.5x 69. f(x) = e05x + 4e 05x

A: This is a problem of curve sketching. Please find the graph of function below. 

Q: Evaluate. Show all your work. In x dx .2

A: Given integral is improper integral, just use the rule of improper integral and then substitution me...

Q: 15. Use the following table to answer the question below: 3. 4 6. 7 4 6. (a) Is Da function of C? Re...

A: Given table:- C 3 4 5 6 7 D 2 4 6 4 2     To find:- (a) Is D a function of C?  (b) For this ...

Q: Identify the limit of the function below using tabular method. Fill up the table with its correct va...

A: f(x)=x3-3x-22x3+3x2-1

Q: Solve for the particular solution yp of the given differential equation: y" + 3y' + 4y = 4x2 — 2х -

A: Given differential equation, y''+3y'+4y=4x2-2x⇒(D2+3D+4)y=4x2-2x          D≡ddx.............(i)

Q: Question 3 3. Evaluate 2 dr. sin Upload Choose a File

A: Here we have to evaluate 3)  I=∫sin2xsinxdx

Q: d) h(t) = sin ( arc(cos t))

A: The given problem is solved below in detail. Given h(t)=sin(arc(cost))

Q: A certain drug is being administered intravenously to a hospital patient, Fluid containing 1 mg of t...

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Q: 4. The equation y = c, e2* cos3x +C, e²% sin 3x is a solution of what particular differential equati...

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Q: 19. The solution to (2x – 4y – 3)dy = (x – 2y)dx is: a. 6y – x? – 4xy + 4y? = c b. 6y +x? - 4xy - 4y...

A: Let x-2y=v  According to guidelines we solve only first question.  So, please again upload 20th ques...

Q: х3+ 4x2-9х-36 3. У 3 4x2+28х+48

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Q: Consider the function f(x) 2a 15a? 36x + 10 on the interval – 6, 8. Find the average or mean slope o...

A: Given query is to find the average rate of change and the value of c for the function.

Q: Given f(x)= x-x^2 and g(x) = 4x-2 Simplify g(g(x)) - x

A: Given query is to find indicated function.

Q: 3. Determine whether the sequence converges or diverges. If it converges, find the limit.

A: a sequence {Xn} is convergent if lim Xn tends to a finite value when n approach to infinity 

Q: dive ges. If it conve ges, find the Determine whether the seavence converges or n+1o Sin(n) 3n+ 2

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Q: The graph of the acceleration a(t) of a car measured in ft/s2 is shown. Use Simpson's Rule with n- 6...

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Q: Determine whether the following function is continuous, differentiable, both continuous and differen...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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Q: A point mass describes a path y - 3.6x2 = 0, where x and y are in meters. The velocity along the x c...

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Q: Use substitution to evaluate the integral 4 sec2 4xvtan 4xdx 4 (tan 4x) + C 3 15 (tan 4x) + C 2 (tan...

A: Given query is find the value of the integral.

Q: 11. The value of k so that (y³ +kxy – 2x)dx + (3xy? + 20x?y³ )dy = 0is an exact equation is: С. -5 d...

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Q: The integration expression + 4)cos(3ln(x) +4)dx must be transformed into using suitable choice of "u...

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Q: | tan įx sec? įx dz:

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Q: 6. Let T: R3 → R³ be defined by T((a, b, c)) = (a, a – b,b + c). Determine whether T is a linear tra...

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Q: 10. The following equations are exact except (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy = 0...

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Q: Solve the given differential equation. All solutions should be found. (3y? + 2xy) dx – (2.cy + x²) d...

A: Solved below

Q: Find the equation of the line satisfying f(0) - 7 and f(7) 2. %3D f(x) = -

A: As we know that, The expression for the equation of the line (point-slope form); y-y1=mx-x1 Where; m...

Q: 4.5 Estimate |7 - a dz using 5 divisions and Loft =O00000)-0 Right =O(00000)=C Midpoint = OO000)=0 T...

A: To estimate  ∫-7-4.5|7-x| dx using 5 divisions and left, right, midpoint, Trapezoid, and Simpson's r...

Q: For the function f (x) = 1 - 1                                       (x +2)2 ,  find the following ...

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Q: 13. R(x) = (2x+6)(x-1) (4-x)(x+2) Find any vertical asymptote(s) and any horizontal asymptote(s)

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Q: 1. 2y" – 7y" + 12y + 8y

A: Solution

Q: x+1 dx (ӕ—3)(ӕ+2)

A: Topic:-  integration

Q: Find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = x² – 9, g(x) = 3x – 4 (fo g)(x) = | (S...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: V2 e| de 4t

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Q: a Problems 25–32, use L'Hôpital's rule to find the limit. Note nat in these problems, neither algebr...

A: We will use the l'Hospital's rule to find the limit.

Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve y = secx ‚y...

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Q: 5. g(x) = ( (e*+1\2 %3D x+1

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Q: 9. What is the solution of (x? + 2xy – 4y² )dx – (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x?...

A: This is homogeneous differential equation. For solving this we will assume,  Y/X = V dy/dx = v - xdv...

Q: 8. Let T: R? - R³ be defined by T((a, b)) = (a, a + b, a + 2b). Find range T and a basis for range T...

A: We have to find the range of T. T((a,b))=(a,a+b,a+2b)

Q: Let f(x) = 3e−x. Let R be the region in the plane bounded by the curves y = f(x), y = 4e−3, and x = ...

A: This is a question related to definite integration. Based on the graph plotting of given region we w...

Q: Find the solution of the given initial value problem. 3 y = t Cos t t-3 y(T) = 0, t>0 y(t) =

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Q: Consider the function f(x) = 2/x + 4 on the interval 3, 10. Find the average or mean slope of the fu...

A: The function is given by fx = 2x+4 The interval is a, b = 3, 10 Mean Value Theorem: f'c = fb-fab-a =...

Q: The figure below shows two tiny charged spheres q1 = 7.29 µC and q2 = -7.11 µC separated by 70.34 cm...

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Q: 10. The following equations are exact except a. (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy ...

A: The differential equation of the form Mdx + Ndy=0   is exact  when ∂M∂y=∂N∂x

Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...