Q5) Find volume of body bounded by z? + y2 + x2 9.

Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

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Q: PART II. Find the derivatives of the following expression, solution must be presented. (3 marks…

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 cos (- 0) in…

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Q: Graph the function. Show at least one period. 15) y = 2 sin (2ax - 3)

A: the graph for given function is attached below:

Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: (-3)"(x – 2)" Consider the power series Vn+2 Use Alternating Series Test to show that the series…

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Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0 %3D

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Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

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Q: 2. If a function f(x) is differentiable at x-a, then function f(x) is continuous at? А. X-а В. х-х…

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Q: Find the saddle pointis of the function f(x,y) = x° +y°+i y+4 Oa(5-1) Oc (4.0) & (4,0) Od(0.0)

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Q: Let r(t) = (t2, 1 - t, 4t). Calculate the derivative of r(t) a(t) at t = 4, assuming that a(4) = (9,…

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Q: Consider the tollowing Maclaurin series: (-1)"x²n (2n)! CoS X = for all x E R. 1. Let f(x) =…

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Q: ト+ se=Atzメ

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Q: Solve if the improper integral below diverges or converges. If it converges, solve for the value. La…

A: This question can be solved using the concept of convergence and definite integrals.

Q: Question For the equation given below, one could use Newton's method as a way to approximate the…

A: This question is related to numerical methods, we will solve it using given information.

Q: or Integral Using either Comparison Test Test, determine whether the series converge or diverge. 4 +…

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Q: Find f. f"(x) = -2 + 24x – 12x², f(0) = 6, f'(0) = 16 %D %3D f(x) = –x4 + 4x° 3 x + 16x + 6 %3D

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Q: The concentration of a drug t hours after being injected is given by C(t)=0.8t / t^2+68. Find the…

A: This question can be solved using the concept of maxima and minima.

Q: determine if the series diverges or converges

A: This question can be solved using the concept of convergence and divergence.

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

A:

Q: For the function f(x) = x³ + 4x – 2 find the following. (Use C for the constant of the indefinite…

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

A: Here, the volume formula is given by: V=∫012πy(g(y))dy=2π∫01y13y-13y2dy

Q: H.w Pind the ro.t when [!,3} by Disection?

A: We have to find the root using Bisection method.

Q: Find the distance between the skew lines: x = 4+ 9t, x = 4 – t, y = 3+ 2t, z = 7 – 4t y = 9, z = 8+…

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Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Use the limit definition to compute the derivative of the function f(t) = , at t = -4. (Use symbolic…

A: This question can be solved using the concept of limit definition of derivative and equation of…

Q: Given the function: f(x,y) = 4x*y² – 10p +y , find f a. 16x'y-60xy O b. 48x°y O C. 16xy – 10y O d.…

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Q: ) Evaluate the following integral using Partial Fractions Method: y = x3 + x2 dx х2 + х — 2 x – 2 |

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Q: 2x2 +S

A: We have to check whether the given integral is divergent or convergent.

Q: Solve the D.E dy + (xy – xy²)dx = 0 %3D

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Q: +1

A: I have stated the used formula in the solution

Q: (-1)" V2n2 + 5 Given: power series > (x + 1)" n=1 ii. Find the interval of convergence of the power…

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Q: x²y(cos(Tz) +2) dæ dy dz

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Q: Find the inverse of the given matrix, if it exists. Use the algorithm for finding A1 by row reducing…

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until twO…

A: Let's find.

Q: Consider the following function and dosed interval. fx) = x2/3 - 1, [-27, 27] Is f continuous on the…

A: F(x) is not differentiable on (-27, 27)

Q: Use a geometric series to represent each of the following functions as a power series about x 0.…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: u(x, y) = e*cosy + x² – y² finde the harmonic utilities

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Q: Matrix Operations [2 1 3 3 If A = and B = find: 0 1 2 2 -1 6. ЗА - 2В 8. -5 (A + 2B) 7. А+2(В — A)

A: The given matrices,   A=2-13012 and B=-13-12-11

Q: 3-x QI) Evaluate the integral S* dy dx using polar coordinate

A:

Q: Calculate two iterations of Newton's Method for the function using the given initial guess. (Round…

A: Explanation of the answer is as follows

Q: g(t) = e-º. (a) Find the Maclaurin series for g(t), stating your answer using sigma notation. (b)…

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Q: 1. Evaluate the following integrals. 1 1. -d.x J #(9 – In² x)5/2" |

A: Follow next step

Q: Is this series convergent or divergent?

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

Q: 1 sin? (0)d0 2

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Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: (b) Repeat part (a) using 3 subintervals and the velocity at the midpoint of each subinterval. mi

A: answer is in next step