) y= tanx+ sin x 0

Q: st to determine whether the series converges or 5k2 – 3k + 10k7 + 2k – k=1

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Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.     ∫∫∫xy+z2dV=∫-11∫24∫02xy+z2dxdydz=...

Q: frined the ivnlervels on which Revee Hincreasig and elecceesing 2)Confaveue emel Concave lown end he...

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Q: Ve da 6. Given x=- 1 a = 3x +2x-1 and and y=- find 2 de c-4

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Q: derivative

A: We will find the derivative. 

Q: Sketch the region enclosed by y = e3, y = e0*, and a = 1. Find the area of the region.

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Q: 2 x2- xp (- xp (-

A: ∫2x4-5x2dx=∫2x4dx-∫5x2dx=2∫x-4dx-5∫x-2dx=2x-4+1-4+1-5x-2+1-2+1=2x-3-3-5x-1-1+C=-23x-3+5x-1+C

Q: In cos (x - c1) + c2 y = In cos x +cj + c2

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Q: Find the length of the graph Y (2? + 1) 2. on the interval (0, 2].

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Q: Identify which type of infinite series the given series belongs to. Then, use it determine whether t...

A: To find the nature of this series, we have to simplify the term given. 

Q: Determine the slope of the following curve at the given point. 7 3 2 xy +xy = 16,400; (1,16) The slo...

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Q: 5) Suppose the function C(1), where trepresents the number of months from January 1, 2020, approxima...

A: Given, C(t)  represents the energy cost to a manufacturing company, where t is the number of months ...

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t-9t met...

A: s(t)=2t³-9t meter  (a) Velocity=v(t)= d/dt(s(t)) v(t)=d/dt(2t³-9t) v(t)=6t²-9 Velocity at t=5 second...

Q: Obtain the solution using Integrating Factors Found by Formulas a.)  xydx − (x2 + 2y2)dy = 0

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

Q: Question 4 A ball is thrown downward wi Jot yet its height above the ground i nswered (a) Determine ...

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Q: Find the area that are bounded by:  y=x2+5x and y=0 from x=−2 to x=1.

A: Given: - The curves are,y=x2+5x and y=0 from x=-2 to x=1 To find: - The area that area bounded by gi...

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

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Q: 19. Use the method of Lagrange multipliers to find the extreme values of f(x, y, z) = 4x + 2y +z, su...

A: Let us construct the Lagrangian function, L(x,y,z)= 4x+2y+z+λ(x2+y+z2-1), λ is a constant. To get ex...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...

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Q: If s(t) = 2t-3t2- 12t +5, represent the position of a particle traveling along a horizontal line. De...

A: Let's find. 

Q: Evaluate the slope of the function: (Please solve using limits)  f(x) = 1 - x^3                    ...

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Q: Given f(x) = 2 /x + 2, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: Evaluate the Integral 6. J csc x sec x tan 2x dx ANSWER: T tan x+1 6. In + C tan x-1

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Q: Consider the following sequence: +00 9" {a,} = An+1 - to show that the given sequence {a,} is strict...

A: The given sequence is  an=9n4n2n=1+∞

Q: Solve the system of simultaneous equations using Gauss-Jordan method 20x1 - 9x2 + 15x3 = 354 - - 9x1...

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Q: 4x + 1 Find a value of x, if any, at which f (x) = is not continuous. 16x + 8x + 5 Enter your answer...

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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: Evaluate the slope of the function: (Please solve using limits) a. f(x) =x^2 + x - 2 ...

A: a)   f(x)=x2+x-2                       at       x=-1.5Here f(x)=x2+x-2Thenf(x+h)=(x+h)2+(x+h)-2We kn...

Q: S Ve3x dx A 2 X- e3 2. C + C ez* + C - 1 e3x + C 3. + C - 3. 23 B

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x f(x) = 1 +x+ 3....

A: Find your answer below 

Q: Vx + 9 dx dy The answer should be in the form ' S S(x, y) dy dx, where a < x < band 81(x) < y < 82(x...

A: We will evaluate the double integral. 

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: +oo (-1)"+1 n=1

A: To show the convergence using alternating series test.

Q: 4i S cosoxdx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: PROBLEM 2. Solve for the general solution term by term of the ordinary differential equation given b...

A: Topic - differential equation 

Q: The mass of the part of a metal rod that lies between its left end and a point x meters to the right...

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Q: (a) Find the Taylor series of Ax) = usinge (b) Using the Taylor series found in part (a) find the ap...

A: Question - 1 Given function fx=11-xa=12 The Taylor series of a function f(x) at x=a is given by fx=f...

Q: 11. Find the radius of convergence of the following power series. a. Ση! (r- a)". | b. Σ (x-2)" Vn² ...

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: x³ + 5 dx x4 – x3 + x²

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Q: A psychologist contends that the number of facts of a certain type that are remembered after t hours...

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Q: Find lim f(z) if 4x 1 472 < f(x) < + 3x for all z 5. T100

A: Apply sandwich theorem

Q: (a) Let p and q be statements. Use only ONE suitable method throughout to determine preciscly whethe...

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Q: () = 2 sec(a O conon1 O pton 2

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Q: (3y- 2 )cy y´+2y+17

A: We have to evaluate value of given indefinite Integration.

Q: A normal line to a curve passes through a point P on the curve perpendicular to the line tangent to ...

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Q: 1. S(Vz5 + Vx ) de с 6 x2/7 +- 2. x5/6 +x³ +C 1 x3 + C 1 7/2 x3 + C х6/5 + - х3 + C + - O A О в O c ...

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Q: 15. Determine the general antiderivative of f(r) = %3D r4 + 10 a. In r – 10| +C b. 4ln |r* – 10| +C ...

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Q: rtices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A acute isosce...

A: