Find the derivative of (2r+1)= (x) 8 For the toolbar. press ALT+F10 (PC) or ALT+FN+FT BIY S Paragraph

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

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Q: Use substitution to find the indefinite integral. 6x + 5 -dx (9x? + 15x) 2 S 6x + 5 xp. 3 (9x? +…

A: The detailed solution is given below Thank you

Q: Find the following. X - 12x dx Write the integrand using rational exponents. - 12x- dx dx = (Type…

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Q: 2. y =,x = 1, x = 4, and y O is revolved about the y – axis. (Answer: 247 c. u. )

A: Given: y=4x, x=1, x=0 and y=0   The bounded region is as shown below.     Apply the cylindrical…

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

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Q: Evaluate the integral: T So sin(x)dx

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Q: The rectangular coordinates of the point Pare (V3,-1, 2). In the cylindrical coordinates of P the…

A: Given

Q: recelve a star on the Hollywood Walk of Fame. 8. Kobe Bryant is a superstar player of Chicago Bulls.…

A: Negation

Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: Find the inverse Laplace transform of the function. 1 F(8) : s2 – 8s + 25

A: L-11s2-8s+25=L-11s-42+9=e4tL-11s2+9=e4t13sin3t

Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 1-2 For each of the following functions given by power series, find f'(x) and / f(x) dx. Do not find…

A: To differentiate and integrate the given power series.

Q: I. PROBLEM SOLVING Directions: Read and analyze the problem then solve it. 1. COVID-19 is one of the…

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Q: 16 3. The value of is: D) A)

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Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

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Q: e If F(x) = | e dt, find F(1) and F'(x). ez

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Q: A power representation of the function f(x) = for-1 < x < 1 is %3D 1-x Select one: 9n 9n 9n n=0 O…

A: This question can be solved using the concept of power representation of given function.

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: e2z dx 4e2a – 8ez + 5

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Q: PROBLEM 11: 0, 0 6. a) Write the function in terms of the unit step function ua (t). b) Use the…

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Q: Given the function f defined as: f: R-(2} R X+4 f(x) = %3D 2x-4

A: Here, the given function is: f:ℝ-{2}→ℝ and f(x)=x+42x-4

Q: 3. use integr al test to determine given rerie s wheth er the is conver gent diverg ent . Or a. n=1

A: Given problem:-

Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: ) Find eigennwaly gse for -5- OA= L-4 to -구

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Q: -2 Evaluate dx ех

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

Q: find dy for ee Sin (メ+34) dx

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

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Q: y2+x2 5- y' %3D y(1) = -2 xy

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Q: Which of the following properties of the logarithmic function in the form g(x) =log.(x) where a >0…

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

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Q: 4 Points SKETCHPAD Question 7 Leaving in algebraic form, solve the following system of equations us-…

A: Please refer to the image below

Q: C. Solve as indicated. 2. Find the first 10 terms of a sequence in which the fourth term is 114 and…

A: Let us consider an A.P series with first term= a and common difference=d  Then the nth term =…

Q: 1) Find the value of C that make the function continuous at x-1? x 1 -

A: We have given piecewise function  Function is continuous at x=1 if  f1+=f1=f1- f(x) = C-x        if…

Q: Suppose F(4) = 2, F(5) 7, and F'(x) = f(x). - (x° + 10f(x) + 1) dæ

A: Follow the procedure given below.

Q: 3) Graph the function over the specified interval. Then use the simple area formula from geometry to…

A: SOLUTION: As per given data, f(x)=3 ;[a,x]=[1,x] We know that, if we integrate function between…

Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: In reference to the function: g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3) Show that the inverse function g−1 has…

A: We have to find the inverse of the function g(x).

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

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Q: Use the tabular method to evaluate the integral |(x3 + 2x – 1) cos(4x)dx

A: To evaluate the following integral using tabular methodI = ∫x3+2x-1cos(4x)dx differentiable function…

Q: A. Find the area of the plane region bounded by the given curves 1. у%3Dх, у %3D 2х, and x + у %3D 6

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Q: (a) Use the trapezoidal rule to approximate the integral. | (4x° + 4) dx = - 1 (Round the final…

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Q: Consider the function: f(x) = 5x* – 2x³ + 3 Show that there is a value a e [0,2] such that f (a) =…

A: This question is based on continuity of function.

Q: dy cot X Cos X Sin x +y=

A: The given DE is: cot x dydx+y=cos3xsin x⇒dydx+ycot x=cos3xsin x1cot x⇒dydx+(tan x) y=cot…

Q: 11. If m = 13 + 2\/42 a. Find the value of ym b. Find the value of m 1 c. Show that, m²Vm + 12987 m²…

A: A detailed solution is given below.

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

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Q: Determine the series converges, if so, Find its cum. whe ther 1 a. (k+2) (K + 3) k = 1

A: The given series,     ∑k=1∞1k+2k+3

Q: Find the first term and the common difference for the arithmetic sequence. Round approximations to…

A: Use formula of arithmetic progression