1) Assuming that the pattern of the first few terms continues, find a formula for the general term an of the sequence 2 4 8 3'9' ,... 27

Q: Find the maximum and minimum values of g(t)=|t−6|+7 on the interval [−10,10].

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Q: 5. [(csc h5B- coth 5B) dß

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Q: 1 I3 = %3D fals true

A: we need to find the given is true or false.

Q: - If f(x)=- 2 find a formula for the inverse function f. x-3

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Q: A river is 5 km wide and flows at 4 km/h. Sam has a motorboat, which has a speed of 23 km/h in still...

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

Q: Question #3 a) Find the x-position of all critical points for f(x)= 4x' – 15x² – 18x +1 (Show work, ...

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Q: Find each function value and limit. Use ∞ or co where appropriate. 3x3 - 6x2 f(x) = 10x* +5 (A) f(- ...

A: given f(x) =3x3-6x210x4+5at x = -6f(-6) = 3×-63-6×-6210×-64+5f(-6) = -0.067at x = -12f(-12) = 3×-123...

Q: (15 In(x) + 1)6/2 dx Consider the indefinite integral Then the most appropriate substitution to simp...

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Q: ミ 42~x2 =ト 3ト %3D

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Q: x + 3)* = 3y*find the third derivative

A: Given query is to find third derivative.

Q: Find the derivative of the function. y = xe¬x8 y' = (1 – 8r*) e=*

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Q: Cos (x) +ry =4 %3D

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Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even o...

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Q: 3. Science problem concerning a rocket. S(t) = -16t2 + 80t + 224 is the function that represent the ...

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Q: A software company estimates that the number of copies x, measured in thousands, of its new applicat...

A: The given data is: 2px2+3px=52,000 To find dpdx.

Q: Normalize the vector j = (1, -2, 5, 0, -1)

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Q: () 11. cot 12. sec 6.

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Q: f(x+h)-f(x) = 2xh+h^2 -3h compute and simplify  f(x+h)-f(x)/h

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Q: x3 - 4x2 - 7x + 10. Factorize the function f (x) to solve the equation f (x) = 0

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Q: a = 2î - j+ 3k b=i-sj+2k c = 4j-k (а) (b) (c) (d) Determine the sum of the vectors a, b and c. Calcu...

A: Given      a=2i ^-j ^+3k^  b=i^-5j^+2k^c=4j^-k^ We have to find sum of all vector , magnitude , unit...

Q: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

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Q: 8. For the following angle, state in which quadrant the terminal side lies. (It may help to sketch t...

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Q: 2. Use trigonometric substitution to find each of the following integrals. Don't forget to go back t...

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Q: Consider the function f(x, y) = x2 + 2y2 – 4x – 4y, defined on R². Find and classify all the extrema...

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Q: ydy y +4y+11

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Q: Consider the function f(@) (-x, A), ((4, B).(B, C). and (C, x) where A, and C are the critical numbe...

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Q: 5. G4)= +3 こ G(4)= 11

A: G(y)=y2y+35

Q: Let B and C be bases for a vector space V. Determine whether the statement below is true or false. J...

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Q: Evaluate the line integral F. dr, where F(x, Y, z) = –xi yj – 5zk and C is given by the vector funct...

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Q: Normalize the vector v = (1, 0, -1, 2, 6)

A: Given query is to normalise the vector.

Q: Evaluate the integral. Tt/3 3 tan (x) sec (x) dx

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Q: d) 14 tan*x dx

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Q: Find all local extreme values of f(x) 12z 50.

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Q: Find the length of the bath Y on these states a) z = 2t + it where 0 <t < 1 TT b) z = 2 sin(÷) where...

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Q: The given graph of the derivative f′ of a function ff is shown. Assuming the graphs continue in the ...

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Q: Let f and g be the functions in the table below. f(x) g(x) f '(x) g'(x) 2 4 1 7 3 1 9. (a) If F(x) =...

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Q: ompute the instantaneous slope at: (-1,-1) A: (-1,-1) and B: (x,-1/x+2) so triangle x = triangle ...

A: We have to find the instantaneous slope at: (-1,-1).

Q: 15* – 4* lim sinx O In(60.00) O In(3.75) O In(11.00)

A: Solve the given limit question

Q: -7 h'(s) (s – 12)2 Find the s values in the interval [-6, 3 where h(s) takes its minimum. S =

A: We have to find the s values in the interval [-6, 3] where h(s) takes its minimum.

Q: Kirk's Convenience store sells 15 different brands of chocolate bars. Of these, 6 brands contain nut...

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Q: 6x- 8x - 2x-4 2x +1 e. Find the slant asymptote of the rational function f(x)='

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: Find the maximum of S(x, y) = 2x + 2y – x² – y? – xy on the square, 0 sx s a, 0 s y s a, a = 3. (a) ...

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Q: 5x6 + x3 + 8x – 2 - 8. lim x→-o 6x4 – 4x3 + x² + 1

A: Given query is to find the limit of the expression.

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1 dx x²+9

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Q: Evaluate the integral. TO 9t sin(7t) dt

A: Given query is to find the value of the integral.