Function f(x) = 3x4 – 4x3 – 12x2 + 5 increasing on interval ... Fungsi f(x) = 3x4 – 4x3 – 12x2 + 5 naik pada interval . 1. O x>2 2. О 02

Q: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

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Q: Question Water is draining from the bottom of a cone-shaped funnel at the rate of 0.8 ft'/sec. The…

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Q: (x+ 1)" of constant terms when x= 0 cent.

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Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: Find the integral ſ cos³0 sin 0 d0 . Tentukan integral f cos³0 sin 0 de. 1 cos*0 + C 4 1. O 1 -coste…

A: Let's find.

Q: +o0 4+ cos? n Σ 3n – Vn n=1

A: The given series is: ∑n=1∞4+cos2n3n-n3

Q: Find the area ef"l fhe Shaded reghon a/2

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Use the second derivative test to find the location all local extrema in the interval for the…

A: We need to find local ma and min.

Q: el/x xp

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Q: Determine whether the following series converges or diverges. If the series converges, determine the…

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Q: 1. y - x+ 4x - 5 S) - x - 3x 3. sC) - x'+ x- 4x'+ 3 4. Sketch the graph and find the relative…

A: Solution of the problem as follows

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: Exv3x² + 4 dx %3D 1 (3x² + 4)v3x² + 4 +c 3

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Q: 3/2 5. Find the exact area of the surface obtained by rotating the curve x =- Show All Work and Give…

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Q: V. Let f(x) be a differentiable function such that for all x > 1, f(x) • f(x) > 1, f'(x) (-1)" f(n)…

A: Solution is given below:

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: x² + 2 xp (х — 2)(x2 — 2х + 2)

A: The given integral is: I=∫x2+2x-2x2-2x+2dx   We know that; ∫1ax+bdx=1alnax+b+C

Q: A true statement for the function f(x)=1/x is... 1. O f has an extreme value at the point infinite.…

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Q: x -x-2 True statement for ƒ(x)= is.... х-2 1. © f(x) continuous at x = 2 2. O f(x) discontinuous at…

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Q: Xely

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Q: 4 En=1 3 3n

A: The summation of 4/(3n-n1/3) , n from 1 to infinity.

Q: Evaluate the following integrals. 1 xp- | #(9 – In² x)5/2 1.

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Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

Q: Find the area of the shac y y=xV4-x 2 y 0 21 y=0 2 square units

A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: Evaluate the integral. (2 - 8v3 + 16v7) dv

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Q: a) Express f(x) = x2ex as a power series. b) Determine the 3rd degree Maclaurin polynomial of f. c)…

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Q: Find f^(100)(x) whenever f(x)=(x+2)^100

A: Let's find.

Q: Vy x+y Q3) Evaluate triple integral SN S dz dx dy. x-y

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Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(7 sec(t) + 9…

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Q: 5. If two chords in circle O, MN and XY, intersect at P then ZMPX = 2( MX + NY). 6. If two chords…

A: 5. The given statement is false .

Q: (c) пcos (пп) 2n n=1 Hint: For part (c) write out a few terms to see the behavior of this series.…

A: We have to find out converging & diverging nature of given series .

Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

A: f(x) =2x3+452x2+21x-2Since f(x) is a polynomialIt is continuous on -4,2It is differentiable on…

Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: If u + v + w = 0 and Ju = 3, |v = 5, |w| = 7 then the angle between u and v is O 21 3 O 5n 3 O None…

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Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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Q: check if the series below is convergent or divergent, thanks!

A: This question can be solved using the concept of alternating series test.

Q: Q2) Solve the D.E xdy + (2y-x* + 3x)dx D %3D

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Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 3, 27)…

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Q: Let an = n> 1. In(2" + 1)' 1. Determine if the sequence {an}1 is convergent or divergent. 2.…

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Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: What is the volume generated by revolving about the x axis the area bounded by the y = 20 +1, y 0, e…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4,…

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Q: 3) у %3D 2u* + 1 x = 5u? – 5u -

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Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

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Q: Use polar coordinates to evaluate sin (a² + y²)³ dA, R

A: We have to find value of given double integration