Which of the following are equivalent to log, (4)? Choose all that apply. 1 log, (16) log, + log, (40) 10 ) log, (32) – log;(8) 1 O- log, 4 1 Olog, (64) 3

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = 3x² – 2x + 3 on the…

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Q: 3. Evaluate lim, tan (2 x) if it exists. Provide evidence to back up your answer.

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Q: We must also convert dx into an expression involving u. We know that du dx, and so x3 dx = X du.

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Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

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Q: The following data lists different investment amounts (X) and the amount of interest (Y): X5 Y 2.5…

A: Here is the solution:

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Q: 1 4 5 1 To find the blue shaded area above, we would calculate: 9. f(x)dx = area a Where: a = b =…

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Q: ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

A: Given query is to find the infection point and interval of concave up and down.

Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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Q: A. First, rewrite the integral by multiplying out the integrand: | 3x° (x* + 1) dx = dx Then…

A: The given integral,         ∫3x3x4+1dx

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Q: (cost -1/2 <x< 0 The funaction f(t) = is %3D sint 0<x<n/2 а) even b) odd c) neither

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Q: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

A: To find the general solution of given differential equation

Q: (8) If f(x) = x² – 3x, what is f(x +h) - f(x) =? h (x² + 2xh + h²)-3(x+h)-(x²-3x) = 2x – 3 + h (x² +…

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Q: oduct sold the first year. (a) Complete the model by solving for k. (Round your answer to four…

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Q: 1. ř (t) = (3 – 4t) i + 6t j- (9 + 2t) from –6 < t<8. %3D

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Q: 6. Use Lagrange multipliers to find the minimum and maximum values of f(x, y, z) = 2x + 2y + z under…

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Q: F(x)= x-2 / x^3 F'(x)= 6-2x / x^4 F''(x)= 6x-24 / x^5  1. Find the local maximum and local…

A: To find local maximum and local minimum  and inflection points of given function.

Q: 20 For the sequence an n+1' its first term is 10 20 its second term is 3 its third term is 5 its…

A: Given :an=20n+1

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Q: Q1\ Differentiate the following x+1 2)y = ln- x-2

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Q: Determine the resultant of the force system shown in Fig. 224 300 1 2 30 361 3.

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Q: * This matrix is a 0 4 0 4 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: 4 Find the length of the curve y=x3 3 %3D x3 +5, 1 Record Audio Record Video Add a File

A: To find out the length of the curve.

Q: Solve 1Ge follouing disferential eguatiug 2 dy ty= elx xy メー1

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Q: Evaluate the line integral F. dr, where F (x, y) = (3+2xy) i+ (x² – 3y²) j and C is the curve given…

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Q: Q1\ Differentiate the following 1)2xsin-13x

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Q: Find a gradient of the equation: F(x,y) = v2x + :- y sin a + 4 VF =?

A: Here, the given vector equation is: F(x,y)=2x+xy-y2sin x+4

Q: Find the following sum, if it exists. 0.4 + 0.0080 +0.00016 + .. Select the correct choice below…

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Q: dx Let g(t) = | 4t

A: Given :g(t)=∫4tt4ex2dxFormula :ddx∫g(x)h(x)f(t)dt=f(h(x))h'(x)-f(g(x))g'(x)

Q: c. 2x³ + 7x² + 9x- 18; x+3 d. 6x3 + 11x2- 11х-16;B 3х?-х-3 1. Use long division to find each…

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Q: Find the first term and the common difference. 3 7 9. 2, - - 2' 4 ... 4 a, =], d=D %3D (Simplify…

A: Given query is to find the first term and common difference.

Q: 1.) Evaluate: (x* + 3x³ + 1)dx 2.) Evaluate: (1++) dx 3.) Evaluate: () dt

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Q: Find the limit. Use l'Hospital's Rule wh lim (In(x))2 X 00 5x

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Q: Let us model the number of automobile sales in a developing country as 151,000 N(t) t 2010 1+5.6e…

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Q: Determine the partial fraction expansion for the given rational function. -8s? – 5x + 9 (s + 1)(s² –…

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Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: 7. Find the length of the curve y (r + 4)/2 on the interval [0,3] 8. Set up, but do not evaluate, an…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Q1\ Differentiate the following 1)2xsin-13x x+1 2)y = In Vx-2 1 3)y = sin-1 2x

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Q: Find the indefinite integral. (Remember the constant of integration. Remember to use absolute values…

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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