How long, to the nearest year, will it take an investment to triple if it is continuously compounded at 17% per year? yr

Q: 4. Compute the total volume of the shaded area of the figure below where the cross-sections are…

A: We need to find volume.

Q: If L{f(t)}=F(s), evaluate F(2), f(t) = 1 + 2t - (1/3)t4 O 0.75 O 1.25 O 1.50 O 1.0

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Q: Question 5 A planning engineer for a new flour mill must present some estimates to his company…

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Q: 7x³ - 7x lim x-1 2x² + 2x

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Q: Use the indicated change of variables to evaluate the double integral. JS4 4(x² + y²) da X = = 1/2…

A: Let's solve given double integration by changing variables.

Q: Enter the absolute amount and argument for the number 3/2 √ 2+ 3/2 √2 i.

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Q: y" + 3y' + 2y = U₂(t); y(0) = 0, y'(0) = 1

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Q: 2 ƒ² ƒ² (x − 3y²) dydx = −12. - Select one: O True

A: ∫02∫12x-3y2dydx=∫02x-7dx=-12

Q: Find the average temperature in the box D= ((x,y,z): 0≤x≤ In 3, 0sys In 9, 0szs In 27) with a…

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Q: an = (1 + ² (1 + 2.6) "

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Q: Calculate the arc length of the indicated portion of the curve r(t). r(t) = (3 − 2t)i + (1+6t)j +…

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Q: Find the divergence and curl of the vector field F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz) at…

A: Here we have to find the divergence and curl of given vector field.

Q: 8) Use the functions f(x) = x² and g(x) = √2-x to find the specified function its domain: a.…

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Q: Determine whether each of the following vector fields is path independent (conservative) or not. If…

A: Solution is given below:

Q: Find the equation of the tangent line to the function f(x) = ln(5x) at x = 8. (Use symbolic notation…

A: We have to find out the equation of tangent

Q: Q4. Let R be the annular region lying between the two circles x² + y² = = 1 and x² + y² = 16.…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: When demonstrating that lim suffices? 1 x-1 4x + 4 08= 0.0000025062656641604 OS=0.0000025 08=…

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Q: -4 - Find the derivative for the function f(x) = (5x−4+ 3x + 7) (8x−³ − 7x + 10) 5. Do not simplify…

A: Given, f(x)=5x-4+3x+78x-3-7x+105

Q: Consider the points P(0,0,6) and Q(-42,6,0). a. Find PQ and state your answer in two forms: (a,b,c)…

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Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sysin 9, 0≤z≤ In 27) with a…

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Q: Given f(x)=2+3x²-x² i. Find the coordinates of all local extrema. ii. iii. Identify the extrema…

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Q: Use the properties of infinite series to evaluate the following series. k 20*30*] Σ + 6 4 5 6 k=1

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Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 08 CO 2rydydz?

A: Given:       ∫04∫x42xy dy dx      =∫04∫x42xy dy dx     Taking out constant        =∫042x∫x4ydydx…

Q: Calculate f((5x + 2y)i + (4x + 7y) 3) · dr where C' is the circular path with center (a, b) and…

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Q: L3Q15. Find (g/f) (x), if f(x) = x2 – 4 and g(x) = x – 2. A.x2 – x – 2 B.1/(x + 2)

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Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = O None of these. f'(x) =…

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Q: Suppose F(z) = g(f(z)) and f(2)= 3. f(2)=-3, g(3) = -1 and g (3)=-4. Find F(2).

A: Recall: Chain Rule  Let F(x)=g(f(x)) , then F'(x)=g'(f(x)) f'(x)

Q: The tangent plane to the graph of at the point where (x, y) = (2, 2) (write the appropriate function…

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Q: Question 3 Let D denotes the region in the xy-plane bounded by the parabola 2x y = 2x. (a) Sketch…

A: Please see the below picture for detailed solution.

Q: 6 5 4 3 2 I | y = f(x) 1 1 01 2 ? | 3 4 | 1 + 5 6 7 1 X 89

A: Topic- limits

Q: (a) Use differentiation to find a power series representation for f(x) f(x) 00 f(x) = n = 0 What is…

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Q: Use the functions below to find the given value. f(x) = x - 2 8 g(x) = x³ (gof)(-2) =

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Q: TL 3. sin²4ycos²2ydy T

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Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 13 19° 22

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Q: ition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the…

A: Please see the below picture for detailed solution.

Q: Using Lagrange multipliers, find the maximum and minimum values of the function f(x, y, z) = 8x - 9z…

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Q: L4Q16. The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

A: The first term is 4, and the explicit formula is Tn = a + 5(n - 1). Find the 7th term of the…

Q: Find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is…

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Q: the critical points, local e(s) and sat f(x, y) = 6x+4y+x² + y². Then find the maximum rate of…

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Q: Sketch the graph of f ( x ) = 2x³ - 3x² + 3 , indicating the points of inflection and the intervals…

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Q: A $120,000 mortgage was amortized over 15 years by monthly repayments. The interest rate on the…

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Q: Let S be the set given by 5 = {(x, y) |x ≥ 1,0 ≤ y ≤ = } (a) Sketch the graph in the xy-plane and…

A: S=(x,y)|x≥1,0≤y≤1ex

Q: Compute the directional derivative of the function g(x,y) = sin((5x - 4y)) at the point P(3,3) in…

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Q: |-2 Evaluate the triple integral ²³ cos (y²) dz dx dy.

A: Here we have to perform triple integration

Q: L1Q7. If the degree of a polynomial function is odd and the leading coefficient is negative, then…

A: We can solve as follows

Q: Find the derivative of the function f(z) = √2 O None of these. 37 Of(z) = √2z f(2)=

A: We will find the derivative.

Q: ∞ Σ k=1 23k e-0.38k2 accurate to 10−5

A: We will find.

Q: L4Q12. Write an explicit formula for the sequence: - 2, 2, 6, 10, ... A.an = - 2 + 4n B.an = - 6 +…

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Q: The diameter of the base of a circular cylinder is 8 fteet and the elements are inclined to the base…

A: We have to find the volume of the cylinder.