1+sin (n) 2. Determine whether the series is convergent explain why. Ln=1

Q: Find the absolute extreme values of the function on the interval. 13) f(x) = 7x8/3, -27 sxs 8 A)…

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Q: Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

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Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

A: Topic:- function

Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: topic- slope of the tangent line at given value of x

Q: Find the particular solution of the differentlal equation that satisfles the Initlal condition(s).…

A: First integrate and satisfied given condition

Q: Q3/ The dimensions of a rectangular solid at a given instant (t.) are: L(t.)= 13 cm. W(t)-9 cm.…

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Q: 0.3 0. Use appropriate series to estimate |In(1+x') dx to 6 decimal place accuracy

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Q: Find the most general antiderivative. 4) (15+ e2t) dt. 16 e2t A) B)+ 202t + C e3t +C +C 27 e2t +C

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Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

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Q: Q4)(a) Find the maximum eigen value for the system A = 2 0 with initial vector x' (0) = (0.0299 1)

A: In order to get the maximum eigen value we need to perform the iterations till the eigen vector is…

Q: c) Use you equation to determine the population after 150 min. d) Approximately how many hours would…

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or-m, enter INFINITY…

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Q: 2x 5. The y-intercept for the function g(x)= 2 +3 is: A) 2 B) C) 3 D) 5

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Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

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Q: Find the volume of solid generated by revolving te area enclosed by : x=y²+1, x=0,y=0 and y=2 about:

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: if the Flo)==

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Q: 6. Evaluate each expression. a) 16-'x 25 b) (-27)5 c) 160.75

A: Given

Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y2…

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Q: An airplane is on a heading of 235° at 600 km/h and a l10 km/h wind is blowing from due west.…

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Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: do sed Form ( Formula) tor the eacn part, tind a nth 1- In partial Sum OF the series and determine…

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Q: An object moves along the polygonal path that connects (0, 0, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1) in…

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Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. P(-2, - 2), Q(4,2) O…

A: The given two points are P-2,-2 and Q4,2.We need to find the coordinates of the midpoint of the…

Q: For the implicitly defined curve: cos(7y) 5y sin(x) dy (e.g., find y' ). dx a. Find a formula for dy…

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Q: 3Vaz +2az (Simplify this into both radical form and exponential form.)

A: Here we will simply the given expression in radical and exponential form,

Q: Зx2 — 2х + 2 x(x² + 1)

A: Given,  ∫ 3x2-2x+2x(x2+1)dx

Q: Determine whether the SERIES converges or diverges. If it converges, find its SUM: n+2 n%3D2 A. It…

A: We have to find sum

Q: Find the particular solution of the differentlal equation that satisfies the Initial condition(s).…

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Q: Given F(x) below, find F'(x). 3x2 F(x) = -dt t-1 3 Provide your answer below: F(x) = %3D FEEDBACK…

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Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use m or -co, enter…

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Q: This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or…

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: sec x lim X0 InX

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Q: I". A.use tue Fundumenta Theole to evaluate XP (I-xh? S gruph of 1- B. The P.cture below shows a…

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Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: how is C equal to the difference of vectors A and B?

A: Dear user, Please read the question. We need to express Vector A in terms of sum of  B and C.

Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: (31) Use Newton's Method to make the second approximation r2 to the solution of 2e = ex. Take x1 =…

A: Leibnitz Rule of differentiation: ddx∫α(x)β(x) f(x,t) dt  = ∫α(x)β(x) d(f(x,t))dx dt +dβxdx f(x,βx)…

Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: Find the rate of change of the arts of a rectangle at the moment when it’s sides are 40 meters and…

A: We have to find the rate if change if rectangle area.

Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.3 cm/min.…

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Q: 8 Given a function: f(x): (х-7)(х-1)

A: Given: limx→58x-5x-1

Q: Find the first term and the common difference for the arithmetic sequence. Round approximations to…

A: Use formula of arithmetic progression

Q: x* dy

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Q: Consider a triangle ABC like the one below. Suppose that A=105°, C=34°, and b=29. (The figure is not…

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Q: z(u, v) and u = u(x, y, w), v = v(x, y, w), x = r(t), y = y(t), and w = w(t). The Let z = dz as…

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