S (3x – 2)° dx

Q: long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the timme in which investment gets double.

Q: A quadratic polynomial y- 4r+7r-3has roots pand g Find a quadratic g(r) o+withrots and a O a.…

A: Please see the answer below.

Q: For the following function, find its inverse. f(x)= ln(4x−2)(4x−2)   a. f⁻¹(x)= (eˣ - 4)/3 b.…

A: We have to find the inverse function

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 4t, y = 8t,…

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Q: Consider the following region R and the vector field F. a. Compute the two-dimensional divergence of…

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Q: drop of oil in the shape of a circle is increasing its area at a rate 4 cm2/min. Find the rate of…

A: Given query is to find the rate of change of radius.

Q: Express the following sums using sigma notation. c. 12 + 22 + 32 + 4² 4 c. 12 + 22 + 32 + 4? = E k=…

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

A: Solve the following

Q: a) Determine whether the series (-1)"n² 00 Σ is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

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Q: H.W : The region bounded by the curve y= x² and the line y=3x is revolved about a) x-axis b) y-axis…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

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: 1 n =1 (2n- 1)4 M8

A: Integral test

Q: From the textbook: Let f be the function in the graph below. (1) Going from left to right, this…

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Q: Find the solution of each inequality in the interval [0, 27z). (Enter your answers using interval…

A: In the interval: [0, 2π)a)sin(x)≥0.5first and second quadrant.x≥π6,…

Q: Find the minimum and maximum values of the function y = 1613 + 24t² on [1,2] by comparing values at…

A: Explained below

Q: Differential Equation Classify the following differential equations.  - DEPENDENT VARIABLE -…

A: We have to classify the given differential equations.

Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: The rectangular coordinates of a point are given. Plot the point. (-4/z, -4/2) y y 5 5 X -5 -5 -5 -5…

A: Here we will find the correct option and two sets ,

Q: Simplify the expression to the form a" where m is an integer. Find the value of m. Answer:

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Q: dy for the function e²* = /2 sin (x + y)at the point 0, dx 6. Find 4

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Q: A quadratic polynomial y = 4x² + 7x – 3 has roots p and q. Find a quadratic g(x) = x² + ax + ß with…

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Q: All exponential functions can be written in many forms. Write the function f(t) = 620e0.35t in the…

A: We have to transform the given function in given form function.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: 3. Evaluate: lim -) X-0 sinx

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Q: The function x2 f(x) 1 - x | has a local maximum when x = 2. Select one: True OFalse

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

A: Solve the following

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: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: Express the vector 2u + 5w in the form v = v,i+v2j+ V3k if u = (4, - 5, 2) and w= (-3, 2, - 4). 2u +…

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Q: The series 1 Σ 2 (-1) "-1. 00 n=1 1.8 is absolutely convergent. Select one: O True O False

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

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Q: Question * Let f a piecewise function as follows. Determine lim f (x). х- 2, x2 (a) 0 (b) +00

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Q: n²+4 2(-1)n-1 2 n=1 n²+ 3

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Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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Q: S dx 2x-1 1. Vx+2

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Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

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Q: 1. rate at two-hour time intervals are shown in the table. Find lower and upper estimates for the…

A: Given:      The lower and upper estimates for the total amount that leaked may be computed as the…

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: To determine whether the given statement is True or False.The graph of a function f is given below.…

Q: Prove that f(a) = (z - 1)² + (x + 1) is an even function.

A: The given function,   f(x)=x-12+x+12

Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

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Q: Evaluate the integral by interpreting it in terms of areas •5 (x – V 25 – x?) dx -5

A: Given,  ∫-55x-25-x2dx

Q: 00 (-1)2n Vn² + 6n n=1

A:

Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: Express the vector 4u + 5w in the form v = v,i+v½j+V3k if u = (3, - 2, 5) and w = (- 4, 5, – 4). 4u…

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Q: d E A. By power series, prove that: -cosx = -sinx dx

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Q: 11. Find L{tU(t - 1)} A. В. е ers C. D. e-s 1 E. None --

A: