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Q: Based on the given table of data, compute each of the following derivatives (fog)'(2) (gof)(4) = X 2…

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Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

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Q: (How?) (34) =(x)5

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Q: [-1 -10e*+e* dx

A: Topic = Integration

Q: I. Find the slope of the tangent line m and the equations of tangent line and normal line at the…

A: To find the equation of tangent line & normal line.

Q: Find an equation of the line containing the given points. Use function notation to write the…

A: Find an equation of the line containing the given points. Use function notation to write the…

Q: (2xy - 3x²) dx + (x² + 2y) dy = 0

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Q: The graph below is the function f(x) 3 2 OF -5-4-3-2-1 Find lim 24-1 Find lim 24-1¹ Olim f(x) 2411…

A: As x tends to Right side f(x) tends to -1 , therefore limx→-1-f(x)=-1

Q: Use this table about differentiable functions f and g to answer the following. x f(x) | f'(x) g(x)…

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Q: Find lim x² sin X-0 O O Choose the correct answer below and, if necessary, fill in the corresponding…

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Q: П Find the length of the curve y = In (2 sec x) from 0≤x≤6 Set up the integral that gives the length…

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Q: Graph the function. Then answer the a) What are the domain and range of f? b) At what points c, if…

A: Understanding of graphs of any function is required to solve this question. Domain of a function is…

Q: Assignment: Find a possible function f(x) which gives the following graph: -14 -12 -10 -8 6 8 10…

A: If the graph of the function f(x) intersects x axis at x=a, then (x-a)m is a factor of f(x) and will…

Q: Find the G.S. (y2-2xy + 6x) dx - (x2 - 2xy +2) dy=0

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Q: Find the value of (fog)' at the given value of x. f(u) = 2u u²+2 u = g(x) = 4x² + 3x +2, x = 0 1…

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Q: S (√x-2²) √x dx

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Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: Find the derivative of the following functions Whenever possible, express answer in factored form.…

A: Here we have to use the concept of derivatives

Q: Differentiate the function. 7x²-1 3 4x³ +5 y=- y'=0

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Q: Find f''(x). f(x) = (x² + 2) f''(x) =

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Q: graphed below. Find each value. 10+ 10-9-8-7-6-5-4-3-2 lim f(x) = 2-2 lim f(x)= z→2¹ lim f(x) = I-2…

A: Given graph of fx as below

Q: 1 y = f(x) EV 5 4 3 لیا 2- 1 y 0 1 2 lim z 6 lim z 3+ f(x) = f(x) = 3 Enter each answer as a whole…

A: Need to find out the following limits.

Q: The number of toy kangaroos, K, in a toy box after 't' days is given by K=t2+20t. a) determine the…

A: Topic:  Application of derivatives , rate of change     The answer is given below:

Q: The graphs of 2 = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: JL=28 KL=5x+6 JK=3x+6 Find KL

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Q: The graph below is the function f(x) -5 -4 -3 -2 5 4 3 2 7 a -2 m -4 5 may 2 3 4

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Q: function of x and y sin (x²z + y²) + 2x³ = y2²+2= If 2 is a differentiable satisfying the equation…

A: sinx2z+πy2+2x3=yz2+2 We have to find ∂z∂x at (1, 3, 0)

Q: Evaluate the expression when x=-6. x² + 7x+8

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Q: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

A: What single deposit of size $X into a fund paying 5% compounded annually is required at t=0 in order…

Q: What is the probability that an officer was promoted or a woman?

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Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 3x+18, y=x

A: Here is the solution:

Q: S Radoptimal 5 find the limit and deternue of the functio is continous at the poult buy et…

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Q: 1. Given the piece-wise defined function f(x) = {* a) lim f(x) = x², x < 4 (x+6,x ≥ 4 b) lim f(x) =…

A: Given query is to find the limit of the function

Q: Find the limit. lim X-0 lim X-0 2+5x+ sin x 3 cos x 2+5x+ sin x 3 cos x (Type an integer or a…

A: To calculate limit put the value value of x and simply calculate it Please see the solution in next…

Q: 5. Find the second derivative of f (x) (x² + 1)³.

A: Given query is to find the second derivative.

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given.…

A: Given:    Equation of the given curve is    y=x3-x22+5x+1 On differentiating with respect to x…

Q: The daily cost (in dollars) of producing Samsung VR headsets is given by C(x) = 900+400x² + 5x3…

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Q: Find the distance between (2, 1, -3), the given po (-6, 5,-4)

A: Topic:- geometry

Q: x² x where a = b = Consider the indefinite integral x¹ + 25x² Then the integrand has partial…

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Q: If you know that lim f(x) exists at an interior point of a domain interval of f, can you find its…

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Q: 2 Find the average value of the function f(x)=x²-5 on [0,3]. The average value of the function…

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Q: f(x) is graphed below. Find each value. 10+ 9 8 7- 10-9-8-7-6-5-4 f(x) = lim 2115 lim f(x) = lim…

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Q: How much work is required to move an object from x = 1 to x = 7 (measured in meters) in the presence…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 50. y=- 52. y=- 2-3x 5…

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Q: y = ln(5x² + 7x + 4)

A: Given y=ln5x2+7x+4

Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate :  limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

Q: Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly,…

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Q: u 2.) du + (-1/2 − u²)dt = 0 t

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Q: The table lists the number of phones sold in millions in the first 5 years on the market. Find a…

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Q: here is the function f(x) below discontinuous 4, (x)=x²-5, x + 3, if x 1

A: Given query is to find where is function discontinuous.