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Q: 5. Use the definition of the Taylor Series to find the Taylor Series for the function f(a) 2- cos(x)...

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Q: (1.5,2) 1.5 (0,7, 0.2Y f0.7,0.2) O.5 to - O.5 -0.57 ー15 0.5 1.5 (-1,2,-1) - 15 -2 does f have the ab...

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Q: 9.13 Solve: X1 + x2 – x3 = -3 6x1 + 2x2 + 2x3 = 2 -3x1 + 4x2 + x3 = 1 with (a) naive Gauss eliminati...

A: As per Bartleby guideline I can solve only one part , if you want other pls repost .

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Q: c). Classify the equation below with all the possible characteristics and properties of a differenti...

A: General form of Linear differential equation of first order and first degree is given by dydx+yP(x)=...

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A:   note : i can ans 1st and 2nd part and remaining part not related to this question so pls reroute i...

Q: 15. (ez + e-z)2 dx.

A: Given: I=∫01ex+e-x2dx As we know from the hyperbolic trigonometric identities; 1). sinhx=ex-e-x2 2)....

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Q: dx

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Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

Q: Evaluate the Integral / tanh (2x)đx. A @ --n|cosh(2x)| + C B -In|cosh(2x)| + C © 21n|cosh(2x)|+ C D ...

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Q: Evaluate the integral: el/z dx -1

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Q: Sketch the level curves of the function f(x, y) = y – 3x² for c = 2. 8+ 5- 4 2 -6 -5 -4 -3 -2 -1 4 -...

A: Explanation of the answer is as follows

Q: use second derivaictive to find derivaitve 1 Crihalralues -3 and I (-a3) V(I, I'ntervals ofinerease ...

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Q: 9) A function y(x) is increasing and has upward concavity on the interval [-2, 3]. Would a trapezoid...

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Q: To evaluate the integral xp Jx²+5x+6 S we use the partial fraction decomposition of the integrand. S...

A: Find your answer below 

Q: 2. Evaluate lim x-4x+1 X-1 x-1

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

Q: Solve the inequality. x-3 x+1 >0 O (-00, -1) (-00, -1) or (3, o) O(-1, 3) O (3, )

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Q: Use the determinant theorems to find the value of the determinant. -4 5 - 1 8 - 1 4 - 7 9 8 3 1 1 Th...

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Q: The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest...

A: Continuous compound interest formula : A = A0ert where A0 = amount invested in dollars A = amount ac...

Q: Eliminate the parameter: I=e+t,y= e-t

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Q: Use a graphing utility to find the polnts of Intersection of the graphs of the equations. Check your...

A: Given query is to find intersection points.

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: ind the second derivative of y=x^cosx

A: Given y = xcosxapply ln on both sidesln(y) = ln(xcosx)ln(y) = (cosx)ln(x)    ----(1)                ...

Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a r...

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: 8. The acceleration of a particle moving along x-axis at time t is defined by a=4t-12. At t=0, the p...

A: Given: The acceleration of a particle moving along x‐axis at time t is defined by a=4t-12. At t=0, t...

Q: +oo 2" Use an appropriate test to determine if the series converges or diverges. n+en n=1

A: We will use Ratio Test for the given series.

Q: True or False: If 3 dx%In|x-3|+B In|x+2|+C (x-3)(x+2) 2 then B =

A: true find integration use partial fraction  

Q: 5. Evaluate the folloming integral over the region R 2des places. Gitosetrsine)r dride పా

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Q: The domain of the function f(x,y)=3x+e 1s: D ={cx;y)eR?/(x +Dn² + y² 23} D ={x;y) eR?/(x –1)² +y² <3...

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

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

Q: Consider the function f(x) 2x + 6x2 18x 54. a. Find the first derivative. f'(x) b. List any critical...

A: Given problem:- Consider the function f(x) = 2x³ + 6x² -18x-54   a. Find the first derivative. f'(x)...

Q: 3t -5 4 -3 -2 -1 2 -2 What is the least possible degree of the polynomial graphed above?

A: find the least possible degree of the polynomial .

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Q: 7. The current population of St. Catharines is about 133000. Suppose a major devel- opment is planne...

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Q: Consider the points A(3, –3,5), B(5, –5, 2), C'(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of t...

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Q: 3. Use the Comparison Test to determine if the series 5n Cos 2n - n³ + n² + 1 n=1 converges or diver...

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: 2. Find the vertical asymptote/s of 7.x f(r) : %3D x2 - 3r- 28'

A: Here we have to find the vertical asymptote of the function f(x)=7xx2-3x-28

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: Using Integral or comparison test, determine if the series is converging or diverging. +00 nyn n² + ...

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Q: Let P(t) = (x,y) be the terminal point on the unit circle that corresponds to the real number t. Fin...

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Q: 3. tan(xy) +xy 0

A: This is a problem of differentiation. Based on the general formula of derivative we will calculate t...

Q: X 11. Find f (9(x)) and 9(f (x)) for the pair of functions. f (x) = a² + 1 g(x) = x – 10 f (g(x)) =x...

A: The given function is: fx=x2+1gx=x-10 To find the value of fgx and gfx

Q: : Evaluate the integral sin x cos x dx

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Q: Evaluate the integral. Answers should be expressed as an integer (no decimals), no spaces, no units....

A: In this question we have to evaluate the given Integral.

Q: Determine whether the given series is convergent or divergent. +oo 5n + sin? Σ - | sin n| а. 3" n=1 ...

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