f(x)= 9x 2 3x² -5x+1

Q: The function f is defined by f(x)= Part A: Find f'(x). 2 3-31 for x > 0. Part B: Write an equation…

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Q: Simplify (x^2 y^3 z)(x^3 yz^2) and evaluate when x = 1/2  y = 2 and z = 3

A: Topic:- algebra

Q: Find the fourth derivative of f(x)=3x^−2

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Q: For the function: Show work. 9. a. Find the intervals on which it is increasing and decreasing. b.…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and the…

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Q: dy For exercises 1, 2, and 3, find using implicit differentiation: dx 1. Prove (arccosx) = V d dx -1…

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Q: Find the distance from the point (5, 1, 8) to the line à(t) = ( − 3, 4, 1)t + (1, 3, 6) .

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Q: Integral of the constant function f(x) = k is

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Q: Suppose that a population of dog breeds cannot exceed 1,000. The growth rate is 0.4 per year. How…

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Q: Prove, using the formal limit definition of the derivative, that if f(x) = then f'(3) = - 1-2x x3 s…

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Q: Consider the following function. √√√2²2²-30 (a) Determine an appropriate trigonometric substitution.…

A: The given integral is x2 /sqrt(x2-3).

Q: a. ²²2 +²2² +²2² = 1 6 4 12 b.¹²+z²x²= 2 - 6

A: Given equation x26+y24+z212=1

Q: -8 (†)+($ 4

A: The rows of vectors are added individually.

Q: Integrable Combinations solve the following equation and show the complete solution. -(y² + x²y sin…

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Q: Evaluate the integral dx 20x+2x² by completing the square and using trigonometric substitution.

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Q: Let f(x)=x^3 e^x/4. Find f'(2).

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Q: A tank initially contains [F] m³ of a bleach solution with [G] grams dissolved chlorine. Fresh water…

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Q: malize the vector ₁ || -1

A: Topic:- function and vector

Q: a) If  f(x)=x f(x)=x then f′(x)= b) If g(x)=9x+(−14) g(x)=9x+(−14) then g′(x)= c) If…

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: Perform the indicated operations on the given vectors: 5 --0--0--C--) = 8 = 4 4 7 9 -7 = 9

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Given In 20.69 and In 13=2 56, find In (26). Do not use a calculator

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Q: Your monthly profit (in dollars) from selling magazines is given by P = 2x + √x where x is the…

A: Your monthly profit in dollars from selling magazines is given by p=2x+xwhere x is the number of…

Q: Find the profit function if cost and revenue are given by C(x) = 178 +6.1x and R(x) = 9x -0.02x².…

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Q: Suppose a tank contains 200 gallons of brine containing 1 lb of salt. At time t=0, pure water is…

A: This question can be solved uisng the concept of differential equations.

Q: 2 √ūdu = ²√ūd 2² √ua Making the substitution u = =x2-1 in the integral 2 [₁² x √x² - 1 da [²√ Select…

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Q: A $2.4 million state lottery pays $10,000 at the beginning of each month for 20 years. How much…

A: Concept: An=R1-(1+i)-ni(1+i) Here An is the present value of annuity due R is the initial payment i…

Q: A graphing calculator is recommended. (a) Show that the definition of the derivative applied to the…

A: The objective of the question is determine the derivative at "x=0" for the given function.

Q: (D³ + 4D² +9D + 10)y=-24e* when x = 0, y = 0, y'= -4, y" = -10 ANSWER: y=e-2x + excos cos (2x) - sin…

A: The given differential equation is; (D3+4D2+9D+10)y=-24e-x When x=0, y=0, y'=-4, y''=-10.

Q: 3. Find all x-values where the graph of 3 f(x) = x³ + 3x² + x + 3 has a horizontal tangent line.

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Q: Find the other five trigonometric ratios of 0. sin(0) = cos(0) = tan (0) = sec(0) = cot(0) =

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Q: (a) The unit circle is the circle centered at 0,0 (b) The equation of the unit circle is x² + y² = 1…

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Q: Let f(x) = 3x + 9 and g(x) = sqrt(4 - x2), Find the functions listed below and determine their…

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Q: x3-27 x+3x-7x+12 using direct substitution. Evaluate lim O a.) b.) c.) d.) x³-27 x+3x-7x+12 lim…

A: We can find the limit .

Q: Problem #2: Evaluate Sfxy ex²164, R where R = {(x,y) | 0 ≤ x ≤ 2, 0 ≤ y ≤ 8}. dA,

A: For the region R , limit of x is x=0 to x=2limit of y is y=0 to y=8

Q: 3. Find an integrating factor that is a function of only one variable, and find an implicit…

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Q: Use a table of values to evaluate lim X-0 O O a.) sin(7x) lim X+0 X b.) sin(7x) lim X-0 X c.)…

A: See this solution in below.

Q: Find the curvature of the curve r(t) = (e-²t, 2t, 4) at the point (1, 0, 4)

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Q: 1. Discuss the monotonicity (i.e. identify the intervals of x over which the function is increasing…

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Q: Evaluate the following limit. 1- cos xy Lim (xy)+(0.n/2) 3x²y³ Select the correct choice and, if…

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Q: Normalize (v1) = ?

A: Formula:09 Normalisation of a vector v : v/|v|

Q: Find the domain, range, intercept/s (if there is/are any), and asymptotes (if there is/are any) of…

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Q: 5 -4 -3 -2 -1 I 6 4 3 2 1 -24 12 i -3 34 M 1 2 What x value has a jump discontinuity? 3 4 What x…

A: Topic- discontinuity of a function for jump disconntinuitylimx→c-f(x)≠limx→c+f(x)for removable…

Q: The graph of f(x) is shown below. Which of the following statements are true? -7 -6-5 -3 -2 -1 8 7…

A: Here we have to choose the correct option.

Q: ← Find the following limit. lim X-0.2 lim X-0.2 x+5 √x+1 x+5 √x+1 ... کا و ایران کانوں

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Q: The population of a town is increasing at a rate given by P'(t) = 55 e 0.014t where P is the…

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Q: Let f(x)=(x^2 +3)(x^2 +5x-7). Find f'(-1).

A: NOTE: Refresh your page if you can't see any equations. .

Q: Q23&Q27 As these are very easy questions so solve both questions in the order to get positive…

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Q: Perform the indicated operations on the given vectors: 3 = ( ₁ ) ₁ №₂ = ( ₂ )₁ 0³₁ = ( ³₁ ) ₁ 0 ₁ =…

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Q: Find the solution of the differential equation (1 + y²)dx + (1 + x²)dy = 0

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