Give a value for c that satisfies the conclusion of the Mean Value Theorem for Derivatives for the function f (x) = -2x2 – x + 2 on the interval [1, 3].

Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a) (...

A: Given:      Graph is given 

Q: B. MATCHING TYPE. Write the letter of the correct derivative in column B for the functions given in ...

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Q: plsease show step by step x - 3y-3z=-14 x-2y-2z=-10 -x+6y+3z=11

A: Given that: x - 3y-3z=-14  ...........(1)x-2y-2z=-10    .............(2)-x+6y+3z=11      ..........(...

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: xyz dV where E is the region bounded by = y², x² = y, z = xy y z = 0.

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Q: V4 +x? xp

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In ...

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Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0 ...

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Q: 2x +1

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Q: xe-x*dx dp.

A: ∫-∞ ∞ xe-x2dx  

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 < x...

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Q: Suppose that f and g are functions h'(1). f(x)g(x) h(x) %D f(x) – g(x) | h'(1) = %3D

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) = si...

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Q: dx 4-x とt

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Q: Estimate the value of im (v?+x+2+x) X- -00 by graphing the function f(x) = V x² + x + 2 + x. (Round ...

A: Given f(x)=x2+x+2+x  

Q: Find the first and second order partial derivatives for z = x² sin (3x + 2y).

A: As we know that; The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x And The first order ...

Q: If the nth partial sum of a series > an is n = 1 n - 7 Sn n + 7 find a, and > an n = 1 1 a1 = 4 14 a...

A: When you put n = 1 in an That will be incorrect as it states that for n ≠ 1 that's why your answer i...

Q: Regarding y as the independent variable and æ as the dependent variable, find the slope of the tange...

A: We can find the slope at the indicated point as below

Q: D etermine if continuous f(x) = X-2 x² -14 %3D at x=2

A: Here we will check that given function is continuous at x=2 ,

Q: 15

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Q: QUESTION 5 lim f(x.y). Find (K)- (0,0) Let f(x.y)= O b.1 OC. -1 O d.1/2 e. Does not exist.

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Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: I. Directions: Choose and write the letter of the correct answer on the answer sheet provided. 1. Wh...

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Q: Solve the following initial value problem: (1+x²)y/ – 2xy = (1+x²)², y(1) = 6. %3D |

A: Given:     1+x2y'-2xy=1+x22             ,           y1=6

Q: 4 dx

A: Use limit comparison test and p series test

Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

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Q: What is the critical point of the function f (x) = cos x? 2. What is the maximum point of the functi...

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Q: Give the coordinates of the vertex of the graph of the function. Graph the function on a window that...

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Q: Let f(x) = (1 + 9x²)(x – x²). Find the derivative by using the Product Rule. f'(x) = Find the deriva...

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Q: Which of the following limit laws is NOT applied? lim (z + 7x - 5) = 3 %3D | O Limit of a Constant O...

A: A function f:R→R is defined as f(x) =C for all x is called constant function. A function f:R →R is d...

Q: Find the exact length of the curve y = (x+4)3/2, 0 < x < 4

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Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: du/dv = (3u-v)/(u+v) partial

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Q: 1 S- (z+1)² (2z²+4z-34)7 dz

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Q: z = x2 + y?, y = x²,y = 1, z = 0.

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Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha valu...

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: sin -1

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: Evaluate and solve the linear differential equation. (d2x)/(dt2) + 2 (dx)/(dt) + 5x = 8e-t, when t ...

A: Given differential equation can be writen as, (D2+2D+5)x=8e-t.....(i)d=ddt, x(0)=0...(ii),dxdt|t=0=8...

Q: de +5x +6, dt / æ dt = 4t where: x(0) 2

A: It can be solved using laplace transform.

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

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Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Find the area of the given region. Use a graphing utility to verify your result. 1+ In x3 y y 1 4

A: we have to find area

Q: Solve the initial value problem (x+ 2) y' = xy + 2y – 3x – 6 when x = 0, y = 1.

A: (x+2)y' = xy + 2y - 3x - 6  So, (x+2)y' = (x+2)y - 3(x+2)  So, (x+2)y' = (x+2)(y-3) 

Q: Find values of x, if any, at which 2x f(x) = x – 15 x + 7 is not continuous (enter as comma separate...

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Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: Vx+I dx. Vx +1

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Q: 16 dx

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Q: x? – 3 -dx x +1 Evaluate

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Q: dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the large...

A: Please see the below picture for detailed solution. 

Q: Set up, but do not evaluate, an integral for the length of the curve. x = y + y, 4sys6 222 L V1+ (1 ...

A: topic - length of the curve calculator