If f(x)=3+3x−5x^2 find f′ (-3).

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A: formula : here

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Q: n E (4 + 2k)? = k=1 Hint: Start by multiplying out (4+ 2k)².

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

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A: Differentiate

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Q: п(х — for -1)" n(x – 4)" 2n n3D0 8.

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A: A detailed solution is given below.

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Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

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Q: Consider the space curve r(t) = (cost cos 2t, cost sin 2t, sin t). (a) Find r(t).

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

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Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

Q: Let F = Vf and f = 2zy + 8xy + 6xz. Calculate F. dr for the path r₁ = (t,t,t), 0 ≤ t ≤ 1. (Give your…

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Q: Evaluate the definite integral. 12 dx 25 + 2x 2

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Q: Find the minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

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Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: n 9 = k=1 Note: Your answer should be in terms of n.

A: Solve the given

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A: We want to find the volume.

Q: Suppose that sec(t) = 3/2 and that tis in quadrant IV. Find the exact value of tan(t). -3/2 -$5 O -…

A: 1 +tan2(t) = sec2(t) In Quadrant 4th , secant and cosine are positive. Note : As per our Guidelines…

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: Problem 3. Solve [2*+2³ = 10 4* +4" = 68

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Q: 109. ff(x)=x4 tan x³ -x In (1+x²), then the value of (b) 1 (c) da f(x) dx4 at x = 0, is: (d) 1 15

A: Use the properties of add and even function.

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Q: 1. In any polyphase system, the value of the angular interval between each phase is 120 degrees Must…

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Q: 4. (- FIND the center of mass of the lamina of density p if the lamina is shaped like the region…

A: A detailed solution is given below.

Q: Find an equation for the tangent plane to the surface given by f(x,y)=÷(4x² – 2y²) at the point…

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Q: A-28. 3. |A| = 3, B = 8, and the angle formed by A and B is 45°. Determine A - 2B

A: We have to solve above question

Q: x²+2x+1 dx (x+2)(x−1)²

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Q: Evaluate the integral. (x3 – 6x)dx -2

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Q: S 7" Зи + 12 1 8.

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Q: A company plans to manufacture rectangular boxes with no top that have volume 12 cubic feet. The…

A: Given problem:- A company plans to manufacture rectangular boxes with no top that have volume 12…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t = 1|3

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Q: c) Period d) f(990°)

A: Given data÷

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Q: A company determines that its demand function is given by p(q) = -0.4q+ 1754 and that its cost…

A: p(q)=-0.4q+1754C(q)=62.97q+3515R(q)=1128000R(q)= q. p(q)R(q)=q (-0.4q+1754 )R(q)=-0.4q2+1754q

Q: 95 Μ: Μα (2) Σ k = (0) Σ 23 . = k=1 115 « Σ 6k +4 = k=1 k=1 95

A: Given problem:-