Consider the function f(x) = (4 - 5x)7. Find the second derivative f"

Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors 1² +2 x² +2…

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors

A: Given So we do partial fraction to get Distinct linear factor and Repeated liner factor

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Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

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Q: Given R = = [² (³ + + ²) - (² + 4)] i n n a= So integral, that is provide a, b and f(x) in the…

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Q: Find the y-intercept of a quadratic function containing the following points: (2,5), (1,0), and (−2,…

A: First we need to find the equation of the quadratic function.

Q: 1. Eliminate the Y= arbitrary constant 2x 2x Ae ²x + Be²x

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Q: Find two positive numbers satisfying the given requirements. The product is 182 and the sum is a…

A: Topic- Quadratic equations

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Q: ) cos(cos-¹(35)) ) sec(tan-¹(5)) csc(sin-¹(n)) ) cos ¹(cos(29°)) (4π) 5 =) sin ¹[sin ]]

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Q: An estimate of ³₁x¹dx using Simpson's rule with n = 4 gives a. 242/5 b.244/5 c. 148/5 d. 152/5

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Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

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Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

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Q: Given f(x) = x² + 2x-5 and values of the linear function g(x) in the table, what is the range of (f+…

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Q: 2nx 5x e e dx

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Q: 1. T 3 x² - 2x + 6 (x² + 2)(x − 2) dx

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Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

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Q: Find the explicit solution of the initial value problem: y(t)= dy dt || 3 4ty + y Transcribed Image…

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Q: The Maclaurin series of g(x)=sin (x) is ?

A: Maclaurin series is given by:

Q: 1. ſ (x-1)dx x2+5x+6

A: The given integration is ∫(x-1)x2+5x+6 dx  We have to find the integration for the given integral

Q: What is the equation of a line with slope of 2 and a y-intercept of -6? y = -6x + 2 y = 2x - 6 2x…

A: Concept: The equation of a line is found using the slope-intercept form of a straight line. We need…

Q: Suppose that P = f(t) is the population (in millions) of the country t years after the year 2000.…

A: Given that P= f(t) is the population (in millions) of the country t years after the year 2000

Q: x3* lim x-03-1

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Q: This exercise uses the population growth model. A certain culture of the bacterium Streptococcus A…

A: Question: (a) Find an exponential model for the number of bacteria in the culture after t hours. (b)…

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A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d da 12 to dt =

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Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

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Q: The total cost of producing x newspapers is given by the function C(z) = 20x-x². Find the marginal…

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Q: 7. Differentiate w.r.t x- sin 5x cos 3x 8. Find dy/dx- y = sin (1 + x^2/1-x^2)

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Q: 2ucot 2x

A: Please see the below picture for detailed solution.

Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular…

A: By putting the given velocity of roller coaster in the given radical function, we get our desired…

Q: 76°F Partly sunny -6-5-4 -3-2 y range 6 5 4 X = 3 2 1 (a) Find h(-2), h(0), h(2), and h(3). h(-2) =…

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Q: I. Find the solution set of the following. 4. cos ¹(2x) + sin¯ √√1 - 4x² = π

A: To find the solution set  of the following.cos-12x+sin-11-4x2=π

Q: I. Find the solution set of the following. 1. 2e²3e + 1 = 0

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Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

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Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 5t, where 0 ≤ t ≤ 1…

A: Here the velocity function is v(t)=13-5t   , where 0≤t≤1 (in meter per second). We have to find the…

Q: A rancher has 800 feet of fencing with which to enclose two adjacent rectangular corrals (see…

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Q: H.w: Find the Fourier series for the following functions: 1- f(x) = 1+ 1- - 2x x 2x x -π < x < 0 0 <…

A: Fourier series of f(x) in the interval [a, b] is  f(x)=a02+∑n=1∞anCos2nπxb-a+∑n=1∞bnsin2nπxb-a where…

Q: 17 0 dx √|x-1|

A: The objective of the question is evaluate the definite integral.

Q: Consider the two-dimensional vectors a and b. a = (3,-1), b = (-5, 0). (a) Find the measure of the…

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Q: The region in the first quadrant bounded above by the line y = 6, below by the curve y = √6x, and on…

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Q: If what does the following integral equal? - 14 73 [6f(x) + 3g(x) - h(x)]dx = - 14 f(x) dx = 11 and…

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Q: What is the equation of the surface revolved about the x-axis for z² - xz = ln x + 3x? A. y² + z² =…

A: Given:- The equation of the surface revolved for the x-axis is, z2-xz=ln(x)+3x

Q: dt 1²+8t+20

A: We can find the answer as below.

Q: Show that the vector field given below is conservative and find its potential function. F(x, y) =…

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Q: Shoppers at Pageturner's Bookstore are tracked, with the following results: 34% visit the…

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