Find the average rate of change for the following function. f(x) = 2x - 5x +3 between x = - 1 and x = 1

Q: Consider the function below. Is g continuous on (0,1]? on (1,4]? why or why not? if æ 4.

A: Explanation of the answer is as follows

Q: (Arcsec sinx)? –9 dx Evaluate cot x, sin?x – 1 Isec-isin xv(Sec-'sin x)* – 9 – 3In|Sec-'sin x + V(Se...

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Q: 3. Verify that each of the following statements is a false statement by finding a counterexample for...

A: Both statements are false : We can verify by giving an example. In the first statement for x=2 , sta...

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Q: Use the difference an+1 – An to show that the sequence {n – 8"}=1 is strictly increasing or strictly...

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 6 6 2r – 6)* k...

A: Here we have to use sigma notation to write the Taylor series about x=x0 for the function f(x)=ex; x...

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Q: dx x² Vx²-1 -2.

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Q: The differentiable function  f  is such that for all  x  with  3 ≤ x≤ 7 , we have  4 ≤ f'(x) ≤ 6...

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Q: y =2(2x+5) complete the below for x =-1/2,-1/5,0,1,2

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Q: 5. The volume of the solid formed by revolving the region bounded by the curve y = Vcosz, I-ax: from...

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Q: 1. One of the following is an improper integral CA In 3 cIn 2 dx xp 4 – ex 2x + 1 JIn 0.5 ' In 2 dx ...

A: I am attaching image so that you understand each and every step.

Q: x3 + 3x2 + 4r +1 dx (r2 + 2x + 2)2

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Q: A table of values is given for a function f(x, y) defined on R = [1, 3] × [0, 4]. 1 2 3 4 1.0 2 -3 -...

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Q: Find the rate of change of the volume of a cube with respect to the length of its side s when s =3 ...

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Q: dz Compute dz and for the following equation. dy e Y + xz² 6xy*z³ .3

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Q: Enter the value of L- 1.27].

A: Floor value of x  is given as the greatest integer that is less than or equal to x

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) - In(x), n- 4, c-4 P(x) -

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Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

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Q: u du Form Answer 5sinx dx Ex. J a+ 2cOsx 3+ 2cosx -2sinxdx uż du -5V3 + 2cosx + C 3 15. Given: •dx 5...

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Q: Exact Equations (w3 + wz? – z) dw + (23 + w²z - w) dz = 0 O (w? + z?) = 4wz + c O (w? + 2?) = (4wz +...

A: Given the exact differential equation(w3+wz2−z)dw+(z3+w2z−w)dz=0

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...

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Q: Use sigma notation to write the Taylor series about x = xo for the functi e*; xo = 6 k=0 e6 k! k=0 k...

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Q: Find the radius of convergence and the interval of convergence. 'k(k + 3) k=1 Radius of convergence:...

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Q: For the integral which of the following options is corn A. lim (x- 1)|+ lim (x – 1)3 B. lim 3(x – 1)...

A: Find your answer below 

Q: 11. The integral of an(In|4x=12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. С. 4 D. I

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Q: Solve the differential equation with approphate method. Express final answer in its simplest form. *...

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Q: Find f'(x) for the following function. Then find f'(6), f'(0), and f'(- 7). f(x) = - 4x + 5x

A: Given,             fx=-4x2+5xTo find : f'x , f'6 , f'0 , f'-7

Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = x0 and then find the nth Taylor...

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Q: 4. Ifu = f(x), then : dx = J x* + 2x² + 1 k + C for some constant k. x² + 1 Compute kf (1). (a) ¼ (b...

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Q: Find the first derivative of the given functions. A. Trigonometric Functions 1. y= sec? 0 – tan² ® 1...

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Q: What is the resulting integrable form of evx+I x+1

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Q: dx The integral | can be rewritten as V1. - X (a) lim (-2+2v1 – s) (b) lim (-1+2v1 – s) S--00 S--00 ...

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Q: Part of the piecewise-defined function (x – 1) + 2 if 0 < ¤ < 3 f(x) = b if x = 3 mx if 3 < x < 6 is...

A: Given problem:-

Q: Evaluate the integral cot 2x /cot² 2x – 15 csc 2x +C 4 1 -Arcsec (B -Arcsec csc 2x +C 4 1 Arcsec 2/1...

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Q: 19. Give the midpoint approximation of xdx with n = 2.

A: Here, to approximate the given integral ∫04x3dx  using midpoint approximation with n=2. Let, f(x)=x3...

Q: () dix + (") dy = 0 (x3 x³+y3• (**) dy = 0

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Q: s(x) = X-4 Find the x-values (if any) at which the function is not continuous. Which of x2-2x-8 the ...

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Q: solution

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Q: Find the nth Maclaurin polynomial for the function. 4x – 4 f(x) = n = 4 %3D X + 1 Pa(X) = || %3D

A: Here, the given function is: f(x)=4x-4x+1      =4x+4-8x+1      =4(x+1)x+1-8x+1      =4-81x+1

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A: We have to find the length of the given curve according to the given information

Q: 7. Determine f (x) so that | cos(In°x) f (x) dx = sin(In²x) + C 2 In x In x (а) 2 In x (c) - (d)?

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Q: ces 3. Find dæ/dy (watch out!) of the relationship 3-5% + sin y = In x + Vy3

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