From the graph below which statement is true? (A) not a function (B) function; domain: R (C) function; domain: [−3, 3] (D) function; domain: [−3, 0] (E) none of the above

Q: Find the Taylor polynomial p3(x) for f(x) = 4e² at = 1.

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Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

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

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Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

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Q: y' = xy – Vx

A: Solving

Q: 3 sin-xe 5%

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Q: Q1 - A coin throw three times find: 1. Sample space 2. Probability at least head appear twice…

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Q: che unit sphere does the following in

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Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

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Q: V16-x polar coordinates to evaluate [' [" V16-x 4.) Use y tan™

A: Let's find.

Q: Name:Y Varner 1. Find the antiderivative of the function |4x – 2x² + x – 5 dx Jar - 20* 2. Evaluate…

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A: We know that if s(t) denote the position of any particle at a particular time then v(t) denotes it's…

Q: 6. For the series E-13 * )", a. Find the first two partial sums si and s2 b. Does the series…

A: 6) ∑n=1∞314n  a.  partial sum S1=3(14)=34=0.75      partial sum S2=3(14)+3(14)2…

Q: 1. Use mathematical induction to prove the given statements below. 2 3+2 32+....+ 2· 3n-1 = 3" – 3…

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Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

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Q: Solve the following basic calculus problems: d а. cos x dx

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Q: Question A farmer is constructing three equally-sized pens against the side of a barn for his…

A: We need to find max area.

Q: Question 6 Use cylindrical shells to find the volume of the solid generated wher the region enclosed…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: 2. Use the Laplace transform to solve the initial value problem y" + 4y' + 5y = 2, y(0) = -2, y'(0)…

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Q: sech j(r) = e

A: We know that derivatives of sechx is  d(sechx)/dx = -sechx.tanhx   Here i attached the solution of…

Q: Frod the averuge vearlue of the durndkam f over Shoe lad eraual [q,9]

A: Solve it

Q: Estimate the area under the graph of f(x) = x + 2x from x = 5 to x = 11 using the areas of 3…

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Q: 20-1 to -5 -10 Find the aren et he regpen endosad by Hhan gaco p he serkicd lie X =1 an2 %3D

A: Given the query is to find area enclosed bybthe curves.

Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

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Q: The reading on a voltage meter connected to a test circuit is uniformly distributed over the interva…

A: answer is in next step

Q: Problems Find the radius of convergence and interval of convergence. (a) п! n=0 (b) (5х — 4)" 00 -…

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Q: Find the inverse Laplace transform of 5s + 1 F(s) = s2 – 7s + 12

A: F(s)=5s+1s2-7s+12       =5s+1s2-3s-4s+12       =5s+1s(s-3)-4(s-3)       =21(s-3)-16(s-4)(s-3)(s-4)…

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

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Q: The volume of a cantaloupe is approximated by V=za. The radius is growing at the rate of 0.8…

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Q: Answer the following using the chain rule (Complete solutions) 1. Differentiate f(x) 2.…

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Q: y varies inversely as the fourth root of x and when x = 81, y = 10. What would be y when x-45. Round…

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: sech (r?t2 using logarith mic differon Tiation ニ r

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Q: (a³-8)° (Va2+4) g(a) = (Using logarithmic differentiation) 3

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Q: 3. Find of the following equations: dx a. y = –3x² + 7x² + In 8x)* b. xy = 2x?y – 8x 7 c. x = sec…

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: Solve the following differential equations: 1.) y’ = x2 A. y = x3/ 3  B. y = x2/ 3  C. y = x ln 3 D.…

A: Integrating both sides.

Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, x = 0, x = In…

A: Given Region is bounded by   y=ex , y=0 , x=0, x=ln5

Q: Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x³ + 11.

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Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: 1. Find the derivative of the following: (Simplify your final answers.)

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Q: 38. Determine the integrating factor of the linear differential equation y' - (1 + tanx)y = e cos'x.…

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Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: The objective of the question is determine the probability.

Q: ne limit represents a derivative f'(a). Find f and a. sin (4 + h) – lim h→0 h xpress numbers in…

A: Given the query is to find the function and value of a.

Q: Use the limit definition to compute the derivative of the function f(x) = Vx + 2 at x = 1. (Use…

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Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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