Let f(x) = 3x² - 6 and let g(x) = 5x + 1. Find the given value. f[g(-1)] f[g(-1)] = (Type an integer or a decimal.)

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Q: Evaluate 3 (6t³ + 2t² − 7) dt. Enter your -3 answer as an exact fraction if necessary.

A: Find the indefinite integral

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Q: f(x, y) = e-7x sin(2x + 5y) of gl& дх af ду || 000 ---

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Q: Question Find the equation of the tangent line to the curve defined by the equations = ₁y = 1/2+1…

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A: Given center = ( 2 , 4 ) radius = 9

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Q: Find the slope of the tangent line to the curve 3x² + xy + 2y³ = 11 at the point ( − 1, − 2). -

A: The given equation is; 3x2+xy+2y3=-1, Point=(-1,-2)

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A: Topic:- application of integration

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A: Given equation: y= x3-6x2+9x+30

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Q: cos [Arc sin (-1)]

A: We can evaluate the answer in the below steps.

Q: Integrate: 17²²2 242 dat dx x² + C

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A: Using chain rule of differentiation

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A: Given Graph:-

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A: NOTE: Refresh your page if you can't see any equations. . the given equation is  and the given…

Q: Evaluate each of the following integrals 3. 1/4 dx (2x+1)(2x-1)

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Q: Evaluate. 4 -2 (2x²-5x+6) dx

A: we know that  ∫xndx=xn+1n+1+c∫-24(2x2-5x+6)dx=2∫-24x2dx-5∫-24xdx+6∫-24dx

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A: NOTE: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: Find the derivative of the function. y= (5x4-5x²+6)4

A: Given: y=5x4-5x2+64 Formulas: ddxxn=nxn-1ddxconstant=0ddxfgx=ddgxfgx·ddxgx→chain rule

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Q: Question 2. Find the volume of the solid obtained by rotating the region bounded by 9x² + 4y² = 36…

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Q: dt, then F'(x) = 0 a) If F(x) = √5 / / di 20 3 b) If F(x) = ² = dt, then F'(x) = c) If F(x) = √²/1/1…

A: Given:   a) Fx=∫20x1tdt      we use common integral ∫1tdt=lnt          =lnt20x          Fx=lnx-ln20…

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Q: Find the arc length of the curve x = 1² +1, y = 4t³ +3 on [0, 2].

A: given; x=t2+1, y=4t3+3 on [0,2].

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Q: 117 Arccos (sin ¹1) 6

A: we know that   sin-1(sinx)=x  in the range  -π2,π2

Q: Evaluate the definite integrals using the graph of f (x) below. 6- (a) (b) (c) f(a) da = Number [° ƒ…

A: To evaluate the value of definite integral using graph of f(x).

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A: given f' changes signs from negative to positive around a critical number c

Q: 26. Question attached

A: Cos and sin are negative in third quadrant

Q: E What is the degree of vertex F B F A

A: see below the answer and explanation

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Q: A relative max/min can also be a global max/min. O True O False

A: We have given a statement  A relative max/min can also be a global max/min. Relative max/min occurs…

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Q: Problem 2. True or False. Justify your answer. ∞ The power series Cnx" always converges for x = 0.…

A: Please see the below picture for detailed solution.

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Q: Evaluate each of the following integrals 2. √2x²-x+4 dx S x(x²+4)

A: Given integral ∫2x2 - x + 4x ( x2 + 4)dx

Q: Find fx(x,y) and fy(x,y). Then find fx (2, -1) and fy(-1,0). f(x,y) = -6e6x - 5y fx(x, y) = fy(x,y)…

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Q: Evaluate 1₁3 26-3x³ +8 z² dr. Round your answer to two decimal places. ƒ²₁3 zº − 3 x³ + 8 z² dz=…

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Q: The position of a particle moving along a coordinate line is s = 6 + 6t, with s in meters and t in…

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