Express the integral a.e •e²² dx in terms of the integral dx .

Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

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Q: 3 V1+x3 -dx x-2

A: Given:      ∫1+x33x-2dx      =∫x2 x3+13dx substitute u=x3+1                 dudx=3x2→dx=13x2du

Q: 39. If z = 5x² + y² and (x, y) changes from (1, 2) to (1.05, 2.1), compare the values of Az and dz.

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

Q: -x' +2 Find the slope of the secant line between x = -3 andx = 3 for the function f(x) = (Enter your...

A: Explanation of the answer is as follows

Q: [1] S dx x+Vx

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Q: x-1 2. Complete the following table of values to investigate lim x-1 x+1 f(x) f(x) -1 Undefined -1 U...

A: The given limit problem is solved below.

Q: Determine whether the series converges. 00 Σ k=1 V7k – 1 O The series converges. O The series diverg...

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Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

A: point of inflection where double derivative is zero.

Q: Since (k + 1)!/3k+1 lim k +1 lim k→+∞ 3 +00, %3D k→+0 k!/3k k! the series (converges/diverges/inconc...

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Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

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Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1 T...

Q: If we apply Rolle's Theorem to the function f(r) -2r 16r 8 on the interval 2, 6, how many values of ...

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Q: 7. Including complex zeros find all zeros of f(x) = 9x° + 57x² + 66x + 30

A: We have to find the zeros of the given polynomial.

Q: For what value(s) of k are the vectors ü (2k, 5, k) and v = (3, -8, k) perpendicular

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Q: Since (k + 1)³/3k+1 ki3 /3* (1+ ±)* _ 1 lim k→+0 lim k→+∞ 3 3 the series (converges/diverges/inconcl...

A: The given series,       ∑k=1∞k33k

Q: entify the x- and y-intercepts of the graph. Verify your results algebraically. y = 27 – 3x2 -interc...

A: Topic:- function   

Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

Q: Let z = 6exv , find dz %3D

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Q: Find the volume of the solid generated when the region enclosed by y=x^3, x=1, and y=0 is revolved a...

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Q: 5. Find the arc length made by a central angle of radians and a radius of 10 cm.

A: Given central angle=π4 radius=10cm find arc length  

Q: Evaluate lim -2x csc (-5x). Submit an exact answer.

A: We can find the limit as below

Q: 25. What is the particular antiderivative of f(æ) = passing through (4, 1)? 2 3 3 а. У с. у 3 -- b. ...

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Q: Jse any method to determine whether the series converge. 11 = Σ VR+1 k=1 This series converges. cos(...

A: This is a problem of series calculations. Based on limit comparison test we can find out answer of a...

Q: Romeo is walking towards North at a rate of 4m/s. Ten seconds after, Juliet walks towards East at a ...

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Q: 12. The method of administering a drug can have a strong influence on the drug concentration curve. ...

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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Q: 3 V1+x³ [6] S dx > x-2

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Q: Find the derivative of the function. f(z) = e?/(z – 5) f'(z) =

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Q: Solve the system by the substitution method.   3x−y = 21 x+8y = 7

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Q: Let f(x) = 5x + 20x². Then the equation of the tangent line to the graph of f(x) at the point (2, 90...

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Q: Find the value or values of x for which the curve of the following functions has a point of inflecti...

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Q: Find the derivative of the function. g(x) = ex³ - 2x g'(x) =

A: The function is given by gx = ex5-2x Formula Used: The chain rule of the derivative is ddxfgx = ddgx...

Q: For the next five questions, consider the following differential equation: (7 + zy')dr + (5y – ry + ...

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Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

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Q: Find r(r+ 6)° dx. A 12r²+C B 5x5 + 3x*+ 12x³+C

A: Using integration rules & formulas.

Q: Find the inflection points of each of the given curve.  4y = 3x4 – 16x3 + 24x2

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Q: tio test for absolute convergence to determine whether the series co te

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Q: 6x 4. У3 y = х+3

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Q: Given f(x) = vx +8, find f' (-4) using the definition of a derivative. Provide your answer below: f(...

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Q: 6x 29. What is the particular antiderivative of f(x) = whose y-intercept is –4? 1 a. y = 4 ln |x² – ...

A: We have to evaluate the above integrals.

Q: 10. a) What transformation are used to turn the parent function f(x) = x³ into g(x) : -(2³ – 3) +2. ...

A: Given query is to find the transformation applied and then graph the function.

Q: 7. An amount of $3,750.00 is deposited in a bank paying an annual interest rate of 4 % compounded mo...

A: We have to find the amount after given time.

Q: Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 4. y = 1 (Type your answ...

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Q: The annual world consumption of silver is predicted to be 22.3e0.01r , thousand metric tons per year...

A: Find your answer below 

Q: Which of the following is the general solution to the differential equation y?dx = (xy – x²)dy? x In...

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Q: d) Find S'(t). s'(1) = 1 e) Find S'(4) and S'(24), and interpret the meaning of these numbers. S'(4)...

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Q: 1. x cot2 xdx X CO

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Q: Given f(x) = ln (x), find each of the following.  Find a formula for g(x) = 2f(−(x + 5)) − 3, using ...

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