The tables below show some inputs and outputs of functions f and g. -8 -5 −1 f(x) 16 10 2 x x g(x) Evaluate. -24 -40 4 12 19 4 1 -2 -8 (fog)(12) 1 -2 = 5 12 -24 -10 20 -14

Q: Express the sum in sigma notation. 1 1 1 1 1 8 9 10 11 12 Choose the correct sigma notation of the…

A: Consider the series

Q: QI/Find the real form of the Fourier sine series for the function: (-1,1) and then obtain complex…

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Q: A et ex - 3x2 2 글 2 dx 3 B. Plex - 1x3 + C Clex - 3x + C D 이글-x+c x + C

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Q: Q1) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. d))…

A: By using the Part 1 of the Fundamental Theorem of Calculus, to find the derivativeof the…

Q: Find the Maclaurin series for f(x) SWI SNI 8WI WI n=0 n=0 2 n=0 xn+1 2n (−1)n xn 2n (−1)” n+1 2n xn…

A: Taylor's and Maclaurin's Series

Q: Find the arc length function for the curve f(x) = = 12 starting point. 13 = (1,²12) taking A = as…

A: To find the arc length function for the curve , taking  as the starting point.

Q: Evaluate the triple integral. III. T xy sin(yz) dV, where G is the rectangular box defined by the…

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Q: 2. Use the definition of a derivative to find the slope and the equation of the x+3 tangent line at…

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Q: 13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the…

A: A right circular cylinder is inscribed inside a sphere with radius 3 inches. We find the maximum…

Q: Integrate the following. a) ²2x. (√5x² +1x

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Q: Find the total area of the shaded regions enclosed by y = 3x³ - x² - 8x and y=-x² + 4x. y=3x²-x²-8x…

A: Area between the curves y=f(x) and y=g(x) such that  is given by

Q: Find all vertical asymptotes of the following function. ƒ(x): 52x+4 3x 30

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Q: Find the outward flux of the field F = 8xyi + 6yzj + 2xzk across the surface of the cube cut from…

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Q: Find parametric equations for the tangent line at the point cost, y = sin t, z = t (cos(-4),…

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Q: 19. Graph f(x)=3*+++2 10 8 -10-8-64-2 -2 -6 -8 -10- 6 42 2 4 6 8 10

A: Question No. (19): To draw the graph of the function .Note: Since you have posted multiple…

Q: When a x³ + ax² + 2x+9 is divided by x −1 the remainder is 7. What is the remainder when x³ + ax² +…

A: If a polynomial P(x) is divided by (x-a) then the remainder is P(a).

Q: Write a polynomial equation with the following roots. A quartic function with roots of -3, -1 and 4…

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Q: What is the present value of a savings bond with a 7.8 percent APR compounded continuously if it is…

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Q: -5 -4 -3 -2 -1 24 24 2 Ho The function graphed above is: Increasing on the interval(s) Decreasing on…

A: To find the intervals on which the function shown in the graph isincreasing and decreasing.

Q: b) Express the integral as a limit of Riemann sums. Do not evaluate the limit. 5 x² S -dx 2+x

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Q: 1. A golf ball is hit so that its height (h) in feet. after t seconds is h(t) = − 16t² + 64t tadt…

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Q: 19 P(x7) AX 19 Q

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Q: From (2.7 +j3.2)^4 1. Convert to polar form 2. From polar to Cartesian 3. From Cartesian to…

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Q: 7. Find j'(2) from question #4 if F(2) = 8 and F'(2) = 3

A: If f(x) = u(x) /v(x) Then f'(x) = (v(x) u'(x) - u(x) v'(x) ) / v2 (x)

Q: 3. h(x) = 6ln(x) = 4√x + 10x² find the equation for h'(x). 8 = (S)111# notesup

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Q: P.2 motion whose distance from the origin is s=2sin3tcos3t Find the amplitude, period, frequency,…

A: As we know that,So we can write above equation,Here,= Angular Frequency= 6

Q: Evaluate the line integral via Green's Theroem: xy²dx - x²ydy where is the circle x² + y² = 9…

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Q: All patients suspected of having a particular type of cancer are tested by two separate labs. The…

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Q: √3 j. (t+1)(t² + 4)dt 1/2 (27-12) du k. 1. 1v5-2y dy y3

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Q: f(x)= 7 - 6x x - 4 intercepts relative minimum relative maximum point of inflection (x, y) = (x, y)…

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Q: Evaluate the following integral given that [*edx е dx 0 [² e ²³ dx = 1/2 √² e-x² 0

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Q: iii) /2e-10x + 385² dar.

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Q: 45 6. Find the remainder when 3x + 4x - 5x³ + 2 is divided by x+1.

A: To find the remainder when  is divided by .

Q: / Fox)=x², find f'(x) using thy desinition of the derivative

A: f(x)=x4

Q: 5.) Find lim A. 2 e B. 1 1-et x→0 In (2-et C. 0 D. The limit does not exist.

A:

Q: Find the indefinite integral 2 √(3√x + 3)dx 3 A. ^2x ² + 4√x + C B. D. 3 2x² + x 2x² +4√x 3 2x²+x² +…

A: The given integral

Q: Let ƒ be the function defined by ƒ (x) : = inflection? 0 x = Οχ Οχ O X || || || 3π 2 K2 K|4 K|2 π…

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Q: Find the length of the arc: x = sin² t, y = cos 2t; 0 ≤ t ≤. 3 √15 2 3√5 4 15 4 None of these

A: Consider the parametric curve

Q: Find the derivative f(x)= 8³ + 2x² - 4x-8 f'(x) = f'(3) =

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Q: A \[10\]-meter ladder is sliding down a vertical wall so the distance between the top of the ladder…

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Q: Now find the derivative of the function  y = ex6  using the chain rule.

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Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second. What is the rate…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: A palindrome is a word, such as "radar" reads the same forward and backward. How many different…

A: A palindrome is described in this question.A palindrome is a word, such as "radar" that reads the…

Q: Demand for apartments in a certain town is D(x) = 1580-2x, and the supply is S(x) = 800 +11x, where…

A: The objective of the question is to find the equilibrium point, consumer surplus, producer surplus,…

Q: Q1) Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. c)…

A:

Q: Select which function f has an inverse g that satisfies g'(1) = Of(x) = 2x³ Of(x) == x³ Of(x) = x³…

A: To find the function  that has an inverse  that satisfies .

Q: EX, find dy for y=x. Cos'ex - √1-4x² di

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Q: f(x) = 3x² - 2cos(x) find the equation for f'(x).

A: Consider the fucntion