6a2 + 23x – 9 The antiderivative of f (a) = is F (x) = a ln (læ + 3|) + bln (Jæ) + dln (r- 1) +Cthen which of the %3D 3 + 2x2 – 3a following is true (choose 2 correct answers, you will get the points if all the correct answers were chosen and no chosen answer is wrong, no partial points)

Q: Determine if the given improper integral converges or diverges. If it converges, find its value.…

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Q: A box is designed so that 4 cans of soup fit tightly into the box, as shown below. ABLE VEGETABLE…

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Q: Calculus

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

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Q: Suppose f is continuous on the interval (0,3). Assume further that f(0) = -2 and f(3) = 5. Also, lim…

A: We can solve this as follows:

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A: To find the aera.

Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: Use the 3rd Degree Maclaurin polynomial for g(x) to approximate the value of 0.2 cos(0.1). = x COS…

A: Here, the given function is: g(x)=x cosx2 Now, we know the series of cos x, the series of cos x is:…

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: ralue of (2) for z= 2.36. (note: use 2 decimal places)

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Q: 22n (2r 1)". Vn2 +1 nsider the power series n=1 1. Use alternating series test to show that the…

A: Given series ∑n=1∞  22nn2+13  (2x-1)n

Q: Is the function continuous on the interval (0, T COS x O no O yes O cannot be determined

A: Given problem:- Is the function ex/cosx continuous on the interval [0, π] ?

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x + 45 dx

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Q: Q4) Find plane area inside the polar function r 2 and outside the polar function sin -0) +1 in first…

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Q: 9– 4x2 Evaluate: 4.x2 + 2 sin () +C A 6/ f (x) = 9-4x2 - 2.x sin () + C B f (x) = - -1 ( 2r 9-4x2+2x…

A: here we do integration using parts ∫ fg' = fg -∫f'g f = 9-4x2 g' = 1/x2 f' = -4x/9-4x2 g = -1/x ∫…

Q: sin x Let g(x) = . 1 Find the derivative a'(x). dt . 2 1+t3 cos? x 1+ sin x sin x 1+ cos³x cos X 1+…

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Q: de Evahuale integ. w) partiar frac. calcu larors no

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Q: ystem. help (numbers) 2. (See page 530 of the text.) help (formulas)

A: a) Frequency :  T1= 2π/ω =( 2×22/7) / 14 = 22/49 T2 =2π/ω = ( 2×22/7) / 20  = 22/70 T1/T2 = rational…

Q: 1. Identify the indeterminate form and evaluate lim (sin x)tanx x-

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Q: Find the complete solution of the differential equation using separation of variables 2х + 2ху* y +…

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Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

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Q: Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of…

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Q: If f (x) = |x-1| then lim f(x), lim f(x) and lim f(x) are... respectively x-1 x→1- x→1+ x→1 |x-1|…

A: Let's find.

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

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Q: C.) approximate derivative; 5.) y = 2x 6.) y = x +34x + 4000

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

Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t? –…

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Q: I. Evaluate the following integrals. 1 d.x J #(9 – In² x)5/2* 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: Function f(x) = 3x4 – 4x3 – 12x2 + 5 increasing on interval ... Fungsi f(x) = 3x4 – 4x3 – 12x2 + 5…

A: We know that a function f(x) is increasing on the interval , if for every point in the interval…

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: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: If a function f(x) satisfies the inequality 5 cos(2x) < f(x) < 8x2 + 5, what is the value of lim,0…

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Q: 12 A Super Happy Fun Ball is dropped from a height of 11 feet and rebounds 13 of the distance from…

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Q: Q3) Evaluate triple integral N S dz dx dy . x-y

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Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: Q2) Solve the D.E xdy + (2y-x*+ 3x)dx 0

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Q: A closed rectangular bOX with a volume of 16ft° is made from two kinds of materials. The top and…

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Q: dy Find dz and simplify: y=ln[tanh(ax)] where a = constant

A: Topic = Derivative

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

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Q: V3 3 9) 9 +x2

A: The given integral,        ∫0339+x2dx

Q: 3). 5 dx =

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Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

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Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: 1 Given the function g(a, b) = suppose m = g(a, b) where a2b+b a = cd b = c3 + 6d The task is to use…

A: Given problem:-

Q: i. 3. evaluate the following integral

A: I have provided this answer with full description in step-2.