: | e³² Evaluate 3x e³x sin x dx.

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Q: What is the particular solution for r(x) = 6xe³ª?

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Q: 8. FIND THE DIFFERENTIAL 1. ALL CIRCLES EQUATIONS OF EVERY FAMILIES Or CURVES GIVEN.

A: The general equation of family of circles: x2+y2=a2where a is constant.

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Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of a building, 350 m above…

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A: Topic = Trigonometry

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A: The given equation is; x2-0.9x-1.52=0.

Q: 4 et f(x)=x-2, g(x)=√x, h(x) = x¹, and j(x) = 4x. Express each of the functions gi ne or more of f,…

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Q: sketch the graph of f. Then identify the lim f(x) exists. x-c (x²₂ x ≤ 2 35. f(x) = 8 - 2x, 2 4

A: Concept: A function may get close to two distinct limits. There are two scenarios: one in which the…

Q: 6. y = x² + 4x; x dy dx = x² + y

A: NOTE: As per our guidelines, I have solved one problem. If you want solutions of rest, kindly post…

Q: of f(x) = x+3 and find the following. 1) f(f(x)) 2) g(gas) g(x)=x²-2₁

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Q: Solve (D³ − 2D² + 2D) y = 0; when x = 0, y = 0, y = 1 and y/l =

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Q: express in form a + bi √-4 11

A: The given expression is -4 We have to solve the expression in the form a+bi

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Q: 0 81 ㄱ

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f'(1) = -1,…

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Q: Let g(t)=(0.2)^t Estimate g′(6.5) to within one decimal place by using a small enough interval.…

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Q: A runner is jogging at a constant speed of 3.2 miles per hour. a. Find the distance d that the…

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Q: 4²-25 442-204125

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Q: Question eighteen: We suppose that {2,4,6,8} = A and {1,5,7,9} = B, and the relationship between…

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Q: Write an exponential decay model with A (t) representing the amount of Iodine-125 remaining in the…

A: Initial amount of Iodine, A(0)=0.72 grams Rate of decay, = 1.15% r=0.0115

Q: 6. Find the points of intersection of the graphs of the functions. f(x)= x² +14; g(x)=x + −6 a. The…

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Q: C) f(x)=- --x-21-

A: Need to write down that how we can graph the given function and also need to find out the domain and…

Q: b. IF A = +²î - tj + (2+ +1) K B = (2-3)i +Ĵ-tk A. d_ (A.B) dt OBTAIN THE FOLLOWING @ t = 1

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Q: A partial fraction decomposition of P(x) H(x) = form Ο Α x+1 Ο Α x+1 Ο Α x+1 Ο Α x+1 (x + 1)²…

A: Topic-partial fraction decomposition we are givenH(x)=P(x)(x+1)2(x2+x+1)

Q: rdp-(p+pr) dr = 0

A: Given :rdp-p+prdr=0

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Q: A disk-shaped piece of fruit has a volume gicen by V=3.1², where r is the radius and V is the…

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Q: nd the average value of the function f(x)=48-12x² over the interval -5≤x ) 1) -152 2) -52 3) 148 4)…

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Q: traveling? 66. A patient placed on a restricted diet is allowed 1300 calories per day with a…

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Q: 56x²5x-50 15x²-44x-20 20x²-7x-6 2x² + 9x + 10 n

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Q: Use PMT= P == -nt to determine the regular payment amount, rounded to the nearest dollar. The price…

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Q: A bus company is planning a trip for at least 107 people. If 107 people sign up, the company will…

A: using double derivative test to find maximum revenue

Q: ef= dx e + e- Evaluate

A: To evaluate the following integral.∫dxex+e-x

Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

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Q: -9y+7z = 5 -11x + 17z = -4 13x + 18y = 4

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Q: Find f=V 3 √x + y 6 02 f дудх

A: The given function is: fx,y=x3+y6   As we know that; The Chain rule: fgx'=f'gx·g'x The Power law:…

Q: t) = 80,000e.05t, where t is the number of years after 1990. a. How many dollars per year will the…

A: Topic:- algebra and calculus

Q: 1. Find and sketch the domains of the functions f(x,y) 1 In(4- x² - y²) 1 and g(x, y) 1 √x + y² = 4

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Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

A: Given query is to find the domain of the function.