Find fo g, g o f, and g o g. f(x) = 2x, g(x) = x4 %3D (a) fog (b) gof (c) gog

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: 1 Σ m=1 n(1+ In*(n) 2(n).

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: Differentiate the functions. a) f(x) = 1 – 6x +x7 b) f(x) = (x³ + 3)² %3D

A: a)f(x)=1-6x+27x7Differentiate with respect to x   f'(x)=-6+(27×7x6)  f'(x)=-6+2x6Derivative of f(x)=...

Q: 1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: x + 2x – dx

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Q: Determine the value of x of: * (x² – 1 f(x) = { x – 1 x < 1 .2 x 2 1

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Q: Determine the limit of the following 1.3) lim x--> 0 ( 1/x (1/3 - 1 / sqrt x + 9)) 1.4) lim --...

A: limx→01x13-1x+9  

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A: The formula to calculate the Volume of the balloon is:              V=43πr3 where r is the radius of...

Q: a. Use the Taylor error bound to compu approximation given by T3. Show your work, state any definiti...

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Q: Detemine the x-values at whìch, 9水)= 2xー 3xー+X メt,xE - スxナラメー3x underined. Evaluate the linit ac xap...

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Q: 3. Ek=1 00 en n"

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Q: (a) Find the number of distinguishable permutations of the letters MISSISSIPPI. (b) In how many of t...

A: topic - permutations

Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...

Q: Q5: Find the domain and range for:- (Answer two only) (1) F(x) = V5x + 10 (2) F(x) = 1 + x2 x²+1 (3)...

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Q: If the profit function for a product is P(x) = 6400x + 80x2 – x3 - 250,000 dollars, selling how many...

A: Given:    P(x) = 6400x + 80x² - x³ - 250,000 

Q: Pictured are a contour map of fand a curve with equation g(x,y) = 8. Estimate the maximum and minimu...

A: Given And gx, y=8

Q: The weekly sales of Honolulu Red Oranges is given by q = 924 - 22p. Calculate the price elasticity o...

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Q: 1 x2 100 A firm can produce only 2700 units per month. The monthly total cost is given by C(x) = 400...

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Q: Consider the series (-1)"(2x+ 3)". n=0 (a) Find the series' radius and interval of convergence. (b) ...

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Q: 1 Discuss the continuity of the function f(x) on the interval (0,2] and [-1,3] x2 -4

A: A function f(x) is said to be continuous in the closed interval [a,b] if→ f is continuous on (a,b).→...

Q: 3t 3 dt +C 3lna A) True B) False

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Q: dy ||

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Q: 15n + 8 J n=1 Factor the difference an+1 – an to show that the given sequence {a, } is strictly incr...

A: The given sequence is ∑n=1∞an=∑n=1∞n15n+8

Q: Given the differential equation dy 10 + 15y = 5x dx Find the values for Q and u. Q = 2 A Q = -x В 3 ...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп ...

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Q: What is the reversed order of integration of dydx ?

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Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand equation q = 8...

A: see below the answer as per bertleby guideline I have to solve first three subparts but I have solve...

Q: function f(x, y) = 7x – 8y + 2xy – x² + y³

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Q: Find all the first partial derivatives of; glw,2, y, z) = xe2w - wyz?

A: Topic:- partial derivatives

Q: 3lnx +2x*dx A 3lnx B 2r4 | 3lnx + 2r4 D E None

A: To evaluate ∫e3 ln x +2x4 dx.  

Q: 27 for fC ), Obtain Fourier series of period where flx) = メ -下SYくO oく*くて

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Q: Choose all sets that are countable: O (-0.5, 11.5] n Z O (-0.5, 7.5) O NU{-1} O {3k|k € Z} 1 n e N n...

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Q: The equation x² + 14x + y² – 8y +z2 +10z = – 65 represents a sphere whose center is (-7,4, – 5) |

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Q: Evaluate the integral, then find 1- 3a. w – 1 dw - = w + a ln (w+ 1) + C w + 1

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Q: II. Use sigma notation to write the Maclaurin's series for the function f(x) x COSX. Show complete s...

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Q: Čonsider the following nonlinear programming problem Maximize Z = 36x, +9x¡ – 6x¡ + 36x, – 3x X, +x,...

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Q: Evaluate the integral and find a + ß+p-o (1+ tan x)dx cos? xV5 – 3 tan2 x va Sa 1 arcsin 1 tan x) + ...

A: Given

Q: Changing the catesian to polar coordinate.

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Q: Let f(x) = V19 + x

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Q: Evaluate the integral. tan(10 x) sec*(10 x) dx +C

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Q: Solve: |x + 1| > 4 Give your answer as an interval. Question Help: D Video M | Message instructor Su...

A: Topic:- algebra

Q: The n-th term in a sequence an is given by an = 3-eol (a) Is this sequence increasing, decreasing or...

A: Given:           an = 3-e-3n (a) Here:      a1 = 3-e-3(1) =3-e-3        a2 = 3-e-3(2) =3-e-6       a...

Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: S10ze +ldr= Select one: O z'e* +l + c O 5e²+1 + c O 4re+1+ c O 6e +1 + c O None of the other choices...

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Q: k! CO %3D 104k

A: Given Series ∑k=0∞k!104k

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h-0 h...

A: Given :f(x)=x3f'(x)=limh→0 f(x+h)-f(x)h

Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

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