find the maximum or minimum value of the function f(x)= 3x^2-18x-160 _______

Q: 1 38. n(n - 1) n=2 IM:

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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...

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A: The given function,  f(x)=x2-3 ; 0,10

Q: Show that V is a subspace of R3: V is the set of all (x, y, z) such that z = 2x + 3y

A: Show that V is a subspace of R3 : V is the set of all (x,y,z) such that z= 2x+3y.   

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A: f(x)=21x3x2-2 Note:   Multiple questions are given we are answer with only one question.

Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: sin2t costdt (A sin2t cost C sin?t D sint E cos?t F None

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Q: Divide the numerator and thế denomih by lim 9. + 2

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Q: If f(x) = sin c, find f'(a) Find f'(4)

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Q: Differentiate the function after first rewriting the function Tn a different form. (Do not use the p...

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Q: Let F(x) = f(x') and G(r) = (f(x))". You also know that a 8, f(a) = 2, f'(a) = 13, f'(a') 10 Then F ...

A: Follow the procedure given below.

Q: Given the following table, give the best estimate for f(12) 6. 9. 12 15 f(x) 33 44 55 63 27 7 The es...

A: Topic:- function

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Q: For the function 0 < x < 4 = 4 2x – 4, -2, f(x) = x2 – 8x + 20, 4< x use algebra to find each of the...

A:

Q: fx)ニxX-3 aニy

A: f(x)=xx-3 , a=4

Q: equations for the line segment that joins P to Q. P(0, 0, 0),    Q(−3, 8, 6) vector equationr(t)=   ...

A:

Q: At what points is the following function continuous? 3 X-216 x#6, x# -6 x- 36 f(x) = 9, x= 6 4, x= -...

A: Explained below 

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A:

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f...

A: The given functions are f(x)=x2-6x  &amp;  g(x)=6-x3

Q: Find the most general antiderivative of the function f(æ) = 3e* + 6 sec² x. Answer: F(x)

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Q: Convert the numeral to a numeral in base 12. 5794 5794-2

A: Let's find. 

Q: Due to depreciation, the value of an automobile t years after purchase is f(t) = ((900 + 6t / 1+0.5t...

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Q: Answer the following True or False: Since the chain and product rules give: d f(r) da g(x) d. f(x)(g...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: f(x) = -3x³ + 8x – 5

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Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: 16 P(2, 1) is a point on an ellipse with foci (3, 0) and (-V3,0). Find the equation of this ellipse.

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Q: f(x) = 3x² – 6x+1, taking the sample points to be point and a = 0,6 = 3, and n = 8. %3D Find the exa...

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Q: 6

A: 15×6This is a multiplication of two numbers 15 and 6.

Q: 6. Find the integral Ssin T* jsin² 2 TTX 2.

A: We have to find integral

Q: 16 dx

A:

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A: Amount = $1000 Principal=$900 Interest rate = 8% 

Q: g(æ) = t -t dt g'(4) =|

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Q: с) dx + 8 (x) dx A) True B) False

A: We have to solve TRUE/FALSE

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A: F(x)=fx6 and G(x)=fx6

Q: b) S sin 2 x cos x dx

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Q: Consider the curve defined by the equation 2x +y 3xy for questions (4-6). 3. 2 -3 -2 -1 1 2 3 -1 -2 ...

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Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2  

Q: Let w(x, y, z) = x + y+ z where x = sin( 9t) , y = cos( dw dæ dy by first finding dt dz and using th...

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Q: Find the particular antiderivative that satisfies the following conditions: dz 8e* – 3; (0) = 8. dt

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Q: Let f(x) = 9 cos(sin(z°)). %3D Then f'(x),

A: Using the chain rule of differentiation,

Q: sec® tan Od® coso A) tane В sece sec?0

A: topic - indefinite integral

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A:

Q: Solve the initial value problem for y as a function of x. dy x² + 121) 3 23, у(11)%3D0 dx The soluti...

A: Topic:- integration 

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

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Q: Solve the inequality, and write the solution set in interval notation If possible. Write numbers as ...

A: Given:- -3≤3-|2i+8| To find:- solution of given inequality