Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx |x=5

Q: Evaluate. Show all your work 1 dx 1-x²

A: By see this solution in below

Q: In 2 sinh?xdx - In 2

A: Given problem:-   

Q: P or BVP. Write your solutions as neatly as sion) for the roots of the auxiliary equation. + 25)³(D²...

A: We will find the solution. 

Q: Find a particular solution to the differential equation 2y" – 3y' + ly = -lt² – 2t – 2e“. Yp =

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Q: Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30...

A: See the details solution in below

Q: A man-made lake is going to be stocked with two types of fish. Let b represent the number of bass, a...

A: Given:   f(b,c) = 8 - 0.01b^(1/2) - 0.05c    g(b,c) = 20 - 0.01b - 0.2c^(1/3)  Point (b,c) : ( 100 ,...

Q: - Beta Function ; Evaluate the following integrals : d z (2+bz?)² C. SuD 5/4 3/4 2.

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Q: For the function f ( x ) = 2 x ^2 + 2 x , evaluate and simplify. f ( x + h ) − f ( x ) /h=

A: Given query is to perform indicated operation on the function.

Q: Evaluate. Show all your work and make sure answer is in simplest form. 39 dx (x+2)(x² +9)

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Q: a Problems 25–32, use L'Hôpital's rule to find the limit. Note nat in these problems, neither algebr...

A: We will use the l'Hospital's rule to find the limit.

Q: 3s Let H be the set of all vectors of the form Find a vector v in R³ such that H = span {i}. 4s

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Q: Find the point(s) of intersection of the line x = 1 – t, y = t, z =1– 2t - and the paraboloid z = 8 ...

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Q: k-1 Since the series can be rewritten in the form )4 it is a geometric series with: k=1 a = r = Give...

A: Expand the series using values of k

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: az or and as dz az Using the given information, determine dt 3. at az = 2 ax az dx dy =1, ду (a) 4 %...

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Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n} Determine whether the sequence conve...

A: Here is the solution

Q: 3. Use lhe Intermediate Value Theorem to show that dhe following equation has a solution. sec(x) = x...

A: Given secx=x^2+e^e-1

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

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Q: 6. Obtain the differential equation of the family of circle with center on the x-axis ? c. yy" +(y')...

A: we want to find the family of differential equation of circle  with center on x axis 

Q: Consider the following. 303 cos(@2) de First make the substitution x = 02 and rewrite the integral. ...

A: I will solve the following equation and high light the answers by red colour. Hope it would make you...

Q: coth v csch v dv 0.1

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Q: 8. When solving an absolute value inequality, the fact of whether it is a "greater than/greater than...

A: In this question we have to solve the given question.

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent ...

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Q: 12 ( In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: We have to find smallest valur of k and value of n. 

Q: b. Which, if any, of the above changes in population can be modeled by a linear function? Show all w...

A: Given:   

Q: | tan įx sec? įx dz:

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Q: -3xdx 8. S: 2x+1

A: The given integral is; -3x/√(2x+1).

Q: 10

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Q: Complete the table. Use the resulting solution points to sketch the graph of the equation. y =-2x + ...

A: NOTE: Refresh your page if you can't see any equations. . the given equation of a line is  now make...

Q: Evaluate the integral by hand, and check your answer with a CAS if you have one. NOTE: Enter the exa...

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Q: A graphing calculator is recommended. An elastic band is hung on a hook and a mass is hung on the lo...

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Q: 10. The following equations are exact except a. (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy ...

A: The differential equation of the form Mdx + Ndy=0   is exact  when ∂M∂y=∂N∂x

Q: (sinh(x)(x² + 7°)] 1. dx d In(x² – 4x + 13) + sin(zx) dx et d? sin? dx2 (sr + v=)|

A: a. ddxsinhxx2+7x=coshxx2+7x+2x+7xlog7sinhx      duv=uv'+vu'b.ddxlnx2-4x+13+sinπxex=1x2-4x+13×2x-4+πc...

Q: 7 4. Find the inverse function of f (x) = %3D 5x+1 Write your answer using proper inverse function n...

A: Follow the steps.

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

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Q: Determine whether the series converges. 1 Σ k + 20 k=1 The series >

A: We are asked to  find the series is convergence or divergence.

Q: Find the equation of the plane through the point (2, –1, –5) and containing the line | x = 3 – 2t, y...

A: We have to find the equation of the plane, passing through the point (2,-1,-5) and containing the li...

Q: g(x) = = ax + C, where a ER Power: is continuous on [a, b], differentiable on (a, b) and g'(x) = f(x...

A: Given: the graph of function F which is an antiderivative of the function f FIND: (a) list critical ...

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

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Q: Describe how the graph of the function g(x) = -|x|-7 can be obtained from the basic graph. Then grap...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: An angle measures 2.1 radians and the initial ray of the angle points in the 3-o'clock direction. A ...

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Q: If L uk and > Uk are convergent series, then > (uk + Vk) and Συ 2(uk – vk) are convergent series and...

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Q: 9. What is the solution of (x? + 2xy – 4y² )dx – (x² – 8xy – 4y² )dy =0 ? a. x? - 4y? = c(x-y) b. x?...

A: This is homogeneous differential equation. For solving this we will assume,  Y/X = V dy/dx = v - xdv...

Q: Which of the following differential equation can be solved using separation variables? a. (x-2y)dx +...

A: Topic:- differential equations  

Q: 18. What is the integrating factor of the differential equation y'=cscx-ycotx ? a. tan x c. sinx b. ...

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Q: Determine visually whether the graph is symmetric with respect to the x-axis, the y-axis, or the ori...

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Q: 19. The solution to (2x – 4y – 3)dy = (x – 2y)dx is: a. 6y – x? – 4xy + 4y? = c b. 6y +x? - 4xy - 4y...

A: Let x-2y=v  According to guidelines we solve only first question.  So, please again upload 20th ques...

Q: For the function f (x) = 1 - 1                                       (x +2)2 ,  find the following ...

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