4 Let f(x) = 4x + x2 given by y = mx + b for . Then the equation of the tangent line to the graph of f(x) at the point (2, 9) is m = and

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Q: 9. Reduce the following equation to one of the standard forms, classify the surface, then sketch the...

A: General equation of an ellipsoid is given by, (x-p)²/a² +(y-q)²/b² +(z-r)²/c²= 1

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Q: 3x° - 5xe* + 2xcos(x) Evaluate: (A x3 - 5ex + 2sin(x) + C 3x4 B. - 5ex + 2sin(x) + C 4 C) None of th...

A: Given query is to eveluate the integral.

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Q: Find A-x) and determine whetherfis odd, even, or neither. 4) f(x) = 4x - Sx4 4)

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Q: 16. Use Implicit Differentiation to find an expression for dy/dx given r*y² + cos(y) = 1. %3D

A: Given: x3y2+cosy=1   We know that; The Sum rule: f±g'=f'±g' The Product rule: f·g'=f'·g+f·g' The Pow...

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Q: Solve log æ = 1 – log(æ – 3). If there is more than one solution, write the numbers in ascending ord...

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Q: Use the graph shown below and identify points from A through I that satisfy the given conditions. y ...

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Q: Evaluate / y ds, C: x = t, y = t, - 2 <t < 1

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: A topographic globe has a radius of 33 cm. Find the volume of this sphere. Use n 3.14. ... The volum...

A: Given query is to find the volume of the sphere.

Q: 31-35 fx) = - 2x+4 [-2,2]

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Q: If F is a continuous on the set of real numbers, then A True B) False

A: Note that we can take constant outside of an integration. So, the given statement is true.

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A: (a). The given differential equation is: x2y'+xy=4

Q: 2. (x- ブメッテルーョ fx 3.

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Q: Ax) =-7 +2r-3x Identify the End-Behavior of this function Justify your answer.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: 3x+4 lim 2e x→-1

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Q: Find f(a + h) – f(a) lim h→0 h If f(m) = m² – 4m + 6 O 2(2a-1) 4а-2 2а-4 2(a+2) None of the Choices

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Q: S, x(x + 5)dx

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Q: 3x2 + 4x + 1 -dx 3x3 + 6x2 + 3x + 50 9x2+12x+3 + C (3x3+6x²+3x+5) A x3+2x2+x - + C x4+2x3+x2+5x B) 3...

A: The given integral,     ∫3x2+4x+13x3+6x2+3x+5dx

Q: Spot the mistake/s in the solution. Tick the box that applies. Se*cos x dx -e^cas X - Se*sinx dx e o...

A: The given integration,       ∫excosx dx

Q: Use the graph of f (x) = x below to find a number & such that x-1< 0.2 whenever 0 < |æ – 1| < d. %3D...

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Q: Please all solve the issue but don't copy

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Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x = ...

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Q: 4. At Grande Anse Beach the height of the water in metres is O onainTEbigoT modelled by the function...

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Q: Evaluate (go f)'(8) - given that: f (6) = 7. f'(6) f (7) = 8. f'(7) 6. f'(8) 6 f (8) 8, g'(6) 7 g(6)...

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Q: solve ydx +(x-y)dy=0

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Q: 3. Determine whether The Mean Value Theorem ca be applied to f(x)= Vx+ 3 on |-3,6|. Find all value o...

A: The given function f(x)=x+3 on [-3,6]

Q: Find the angle between the vectors a = (4, 4, -2) and b = (5, -3, 3). Solution Since |al = V42 + 42 ...

A: Given:    a=4,4,-2    b=5,-3,3 The angle between two vectors is given by           cosθ=a·bab

Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: if I<3, f(z) = 6r-9 if z23.

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Q: (2) Find the exact trigonometric ratios for the angle r whose radian measure is given. 57 sin (z) =....

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Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t ...

A: Given query is to find the acceleration ate t= 1.

Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below  

Q: Find the derivative of the function. 5. x + 2 y = e y' =

A: The given function,     y=ex7+25

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if t...

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Q: sin 3x 4- lim sin Sx

A: Given query is to find the valueof the indicated limit.

Q: Find the maximum or minimum value of the function. f(x) = 3x2 − 6x − 100=   Is this a maximum or ...

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Q: The area of a healing wound is given by A=πr2A=πr2. The radius is decreasing at the rate of 2 millim...

A: Given; A=πr2 r=22.

Q: 2- 6

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Q: da Evaluate 2 (16 + x2)*

A: ∫1(ax2 + b)ndx = 12b(n - 1)∫2n-3(ax2 + b)n-1dx + x(ax2 + b)n-1

Q: 236 A 1-m spring requires 10 J to stretch the spring to 1.1 m. How much work would it take to stretc...

A: Given natural length of spring=1 mWork done to stretch it to 1.1 m is 10 JSo, W1=10 J, L0=1 m and L1...

Q: 1. The function f(x) = 81 has a discontinuity at x = 9. 2. The function g(t) = |2x – 10| has a at r ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: e implicit differentiation to find an equation of the tangent line to the devil's curve,defined by y...

A: Follow the procedure given below.