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Q: 2x3-5x2+x+6 (b) lim 7x3+xー32

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Q: 5 3 Let g and h be continuous functions such that | g(x)dx = 6 and | h(x)dx = 4. 3 Determine |…

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Q: Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log,…

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Q: 03 Evaluate J (3-2x)5 using substitution

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Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: d²u A particular solution of the differential equation du - 2u=3e2t – 18e-tis dt? dt Select the…

A: Particular solution

Q: Find the MacLaurin series for the function f(x) = x cos (2x) at a = 0.

A: Using the definition of maclaurin series ee can find series or by given function's series we can…

Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: 5. Evaluate each of the following integrals. rVz² +9dx dr (a) 21 +1)3

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Q: a) Determine the position function, s(t), of an object if the acceleration function of the object is…

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Q: 7. Let f(x,y) = x²y+ry. Find an equation of the tangent plane to the graph of f at the point…

A: The detailed solution is given below Thank you

Q: 2 tan theta / sin 2 theta = r in rectangular coordinates

A: Solving

Q: 5. S sec(3x) tan(3x) dx

A: formula:∫ secx tanx dx =sec x +Cwe are given;I=∫ sec(3x) tan(3x) dx3x =t3 dx =dtdx =dt3

Q: Complete the table for a savings account in which interest is compounded continuously. Amount after…

A: Given query is to find the time taken to double the investment and amount after 10 years.

Q: Using the following vectors, determine each of the following: (Draw a labelled diagram, and give the…

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Q: Given f(z, y) = – 3z' + ry° + 5y², find fr(x, y) = | fy(z, y) = |

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Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 22 knots and ship…

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Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y \ X…

A: Given

Q: Find the missing value for the radioactive isotope. (Round your answer to two decimal places.)…

A: Formulae of the half-life of radioactive decay is given by: where

Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

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Q: ner to integrate with respect to x or y. Draw a typical approximating rectangle. y -10 - 10 -5 5 10

A: We have to choose the correct option from the given options according to the given information

Q: Use the properties of logarithms to verify the equation. -In(24) - -(3 In(2) + In(3) -In(22. -In(24)…

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Q: Fundamental Theorem: 2x sin t -dt. Find the value of f'(x). t2 +1 Let f(x) = | %3D

A: We can solve this as follows:

Q: the side length of the square pieces which are cut out. Find the value of x which gives by removing…

A: To find the value of x that gives maximum volume of box.

Q: Approximate the area under the curve 4=メ Right Endpoint from x=3 to メニの USing approximation with 6…

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Q: Find the slope of the tangent line to the curve la? + 4xy – 2y = 185 at the point (- 3, - 4).

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Q: Calculate ri(t) - r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and…

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Q: Approximating Sums Suppose you wish to approximate the area under the graph of f(x) = 2 cos(r) + 3…

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Q: Jse a graphing calculator to construct a table of values and a graph for the first 10 terms of the…

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Q: Determine whether converges or diverges. If it converges, find the sum. Paragraph U - Ay + v ...…

A: We have to find out sum

Q: 5. Evaluate each of the following integrals. (a) dr. (b) Vr2 +9 dx

A: LetI=∫x32x4+13dxPut 2x4+1=udifferentiate  on both side8x3dx=dux3dx=du8ThereforeI=∫1(u)3du8Take the…

Q: Sketch the region bounded by y = x2+2, y = 2, and x = 2, and find the volume of the solid generated…

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Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: Find the relative maximum and minimum values. f(x.y) =x +y+18x-10y Select the correct choice below…

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Q: Find the slope of the tangent line to the curve 3x? – 3xy – 2y = - 92 at the point (- 2, 4).

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Q: average rate of change

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t) ||r(t)||* r(t) = 8 cos(7t)i + 8 sin(7t)j + 3t

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Q: Q1\ Differentiate the following x+1 2)y = ln- x-2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: tan -x -dx is equal to ONE of the followir The integral (HINT: Use Maclaurin series) Σ n=0 2" +'(2n+…

A: Here is the solution

Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: Determine the area enclosed by f(x) = a° + æ? – æ + 7 and g(x) = æ³ – 2a + 27. The region in…

A: Here  we have to find the area bounded by the curves.

Q: Use the One-to-One Property to solve the following equation for x. Sx-1 = 27 1 3 8

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Q: Assume that all constants are positive and not equal to 1. 7" = 6 Hint

A: Given query is to find write the expression in logarithmic form.

Q: The set E is part of the third octant which is enclosed by the sphere r+y +z = 3. In spherical…

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Q: Use the like-bases property and exponents to solve the equation x – 6 = 23x – 1 2

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Q: (n° -9n? +16n-8)÷ (n-7)

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Q: length of the curve r = 4 sin 20 for ÷sos 6 2

A: To find the length of the curve r=4 sin 2θ for π6≤θ≤π2.