Express the sequence {an} n = 1 as an equivalent sequence of the form {n}=4* n=1 {2n +5}=1 ∞ An equivalent sequence is 4 n =

Q: Use linear approximation, i.e. the tangent line, to approximate √16.2 as follows: Let f(x)=√x. Find…

A: Given: f(x)=x at x=16

Q: Let f be the function with domain [1, 3], defined by f(x) = −x² + 3x. The function f has a global…

A: The answer is in step 2.

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Q: Find the derivate of the functions: a) F(x) = -3x²=4 : f'(x) = b) g(v) = 3 g'(v) = 2√² +5V-9 c) f(x)…

A: We need to find out the derivatives of the given functions.

Q: Find the derivative

A: We are required to find the derivative of (a) y=cos2tan1+x3(b) f(t)=3csc5πt-71-cotπt5-7

Q: Sketch the graph that possesses the characteristics listed. f is concave down at (1,5), concave up…

A: We need to find the graph which have the following characteristics f is concave down at point (1,5)…

Q: 7. Evaluate the limit: lim . a. 0 b. 1 *--* C. d. T +00

A: Given: limx→ππ

Q: Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by…

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Q: Use the Method of Undetermined Coefficients to find a particular solution to the equation and the…

A: The given differential equation: y''+3y'+2y=4x2-3ex ; y0=9, y'0=5

Q: Find the derivate of the functions: a) f(x) = -3x²³ -4 sxt9 · f'(x) = (6) g (v) = 3 2√² +5V-9 g' (v)…

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Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: 3. Use the Root Test or the Ratio Test to determine whether the series is absolutely convergent,…

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Q: -4 +00 24 y 2 -20 -2 4 2 4 ४ c. 1

A: we will find the required.

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Q: Determine the derivative of each function f(x) = 3x³ + 2x² [K2] 1 b. f(x) = = = − 2x² [x2] x² c.…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Find the derivative of the function. y' = y = etan(e)

A: We use chain rule to find the derivative of the following function.  dftdθ=dfdt·dtdθ also use the…

Q: (a) Use differentiation to find a power series representation for 1 (6 + x)2 f(x) = f(x): 00 Σ n = 0…

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Q: Find the area enclosed by one leaf of the rose r= 10 cos (30)

A: area enclosed by one leaf of the rose r = 10 cos (3thita)   Formula :- cos2(x) = [1+cos(2x)]/2

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: To find where the function is increasing or decreasing.

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: To find out the critical points, increasing and decreasing intervals and also the extrema and at…

Q: Consider the function f(x) interval. = 1 on the interval [3, 9]. Find the average or mean slope of…

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Q: 20,000e 1+ ķ xy-plane, where x and y are measured in centimeters, find the total population of…

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Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: 43. y = (2+x)√2+(2-x)², [0,2]

A: Given function:- y=2+x2+2-x2

Q: Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist,…

A: We find the first and second derivatives using the power rule F(t)=3t5-20t3+20F'(t)=ddt3t5-20t3+20…

Q: Consider the following equations. y = x, y=x²

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Q: implied domain for the following function. x^(2)-4x=5x-6y

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Q: The cost of producing x bags of dog food is given by C(x) = 900+√700 + 50x²-x where 0≤x≤ 5000. Find…

A: The cost of producing x bags of dog food is given by Cx=900+700+50x2-x, where 0≤x≤5000. To find the…

Q: Find the derivative of the function. -7x³ - 6 6x² +7 f(x)=

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Q: Suppose the demand for a certain brand of a product is given by ​D(p)=−p^2 / 416+450​, where p is…

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Q: ts) Let f(x) = 1. f'(x)= 2. f'(4)= 5x² tan(r) sec(x) Find the following:

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Q: Answer the following questions. 1 A function f is given by f(x) = (x+1)|x+3| x+3 (a) Express f(x)…

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Q: у-х-2 (1-1) х-у

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Q: In (1 + x²) x-0 1 COS X 37. lim - x² - 4 x→2 ln (x - 1) 38. lim

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Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

A: pq=16  and p=2demand=pq×dqdp

Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

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Q: d Q10 Compute [3t²] (a) 3t² (b) 6t (c) 0 (d) 9t

A: We need to perform differentiation.

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Q: The sum of integrals below give the area of a region in the xy-plane. Sketch the region, label each…

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Q: 7T T 6 4 expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p,…

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Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

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Q: An object traveling in a straight line travels s(t) kilometers after t hours, where s(t) = 8t² + 5t.…

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Q: -S X √196+x -dx =

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Q: Let f(x) = 7x sin(x) cos(x). Evaluate f'(x) at x = ³7. ƒ'( ³ ) =

A: I have appended the formula used in the solution part of the question

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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