Find the integral of f(3x2 + 4x + 1)*(3x + 2)

Q: Use Riemann Sum to find the area bounded by f(x) and the x – axis: f(x) = 4 – x² over [-2,2] x =…

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Q: Use the Root Test to determine whether the series convergent or divergent. n² + 8 " 3n2 + 2 n- 1…

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Q: Consider the function f(x) = x2 -1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: 2" n3 Σ 4"+1 n=1 is convergent or divergent.

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: it was supposed to be 2x^2-9x+27 can you please resolve it, thankyousomuch

A: Since you have asked a question with multiple parts  in a single request, we would be answering only…

Q: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. Find an…

A: A bacteria culture starts with 1,200 bacteria. Two hours later there are 1,920 bacteria. To find an…

Q: Where did you get 30 and 60 from?

A: Given

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: Consider the function f(x) = x2-1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: The integral of the given function ſ 3(x-1) dx is equal to (3x+1)ž

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Q: What are intervals of concavity of the function f(x) = -2x' + 6x² – 3 ? a. Concave upward on (1, 0)…

A: Here we have to check the concavity of the graph.

Q: - Solve the differential equation y-2y'+y e" In x

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: The given function is: f(x)=x5+4x3+x, a=4f(4)=45+4(43)+4=1284f'(x)=5x4+12x2+1,…

Q: Write the sequence in recursive form. Make sure to state the initial conditions a, - 4(3)" for n > 1

A: Solve the following

Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: why

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Q: FEx) = 1+e siny x fCx) f'ca) = fco) = - fくb) = fCl-2) = = -15 e sin4X- se"cos4X 8 LN %3D %3D %3D…

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Q: 0 1 - 18 -6. A = Find the eigenvectors of the given matrix: [B] i

A: We have to find the eugen vectors.

Q: Q1. Test the convergence and divergence of the following: 6. E=1 Inn (comparison test) 00 n%3D1 71…

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Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: The market research department of a company recommended to management that the company manufacture…

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Q: Given f (x) = a +1 and g (x) = 2x +3, find f[g(x)]. %3D %3D O A. fg(x)] = 2a2 + 5 O B. f9(x)] = 2a?…

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Q: Find the distance between points P, and P2. Pi(0, - 3,3), Р,(8, - 4, - 2)

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y =…

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Q: Show that v = ai + bj is perpendicular to the line ax+ by = c by establishing that the slope of the…

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Q: (i) What are the projections of the point (2, 3, 5) on the ry-, yz- and rz-planes? (ii) Write…

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Q: Suppose that f is defined everywhere and x = 2 and x = -1 are the only critical numbers for f. If f"…

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Q: Which of the following is false? O none 3 n The series >, is divergent. 6+n n=1 00 1 The series is…

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Q: Find the definite integral o tan(x)dr using strips of width for the trapezium rule correct to three…

A: Trapezoid rule

Q: Given: cosg=-1, sin x =- 13 ,A is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: This question is based on Trigonometric equation.

Q: x²+2x²y=2xy+2xy²–3y The expression is equal to x+y

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Q: The graphs of the first and second derivatives of a function y = f(x) are given below. According to…

A: The graph of the first and second derivative of the function y = fx is The statement is f is…

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

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Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: Please clarify the answers.

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Q: I don't understand the a20 answer?? Is that 2n-7??

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Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

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Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

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Q: 6. Verify each of the following identities: cosx (a) 1-sinx = secx + tanx (b) 2sec²x + 1+sin 1-sinx…

A: As you have asked for question d only. So I am solving that only. Thank you.   sec(x)*cos(x)=1…

Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)…

A: The shaded region's area is: The difference between the area of the complete polygon and the area of…

Q: Use sigma notation to write the following Riemann sum. Then, evaluate the Riemann sum using formulas…

A: Solve the following

Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(16) e*e = e*…

A: We have to find the values of x and y.

Q: how did the y' and 2y' apearred out of no where in line 7

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Q: The integral of the given function J_1 Jœ+2X3=x) dx is equal to a. Arcsin 0.2 + Arcsin 0.6 b. Arccos…

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Q: How did he get the second derivative step by step and a clear line please 9 -- F(x) = 1+e siny x…

A: To find out the second derivative.

Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…