Use a quick appro Modyfis answer to three decimal places.) f(3) = 51 BRI x=3

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: We can solve this as follows:

Q: Calculate the average rate of change of the given Lanction f over the intervals [a, a +h] where h =…

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Q: Problem 2. Determine if b 665 is a linear combination of a₁ = دا بن a2 11 a3 =

A: To find- Determine if b = 665 is a linear combination of a1 = 12-3, a2 = -3-41, a3 = 216.

Q: Determine each integrating factor to make the Differential Equation exact then solve each equation.…

A: Here we have to solve the differential equation.

Q: Question Define R as the region bounded by the functions f(x) = 2x and g(x) = 1 between x = 1 and 2…

A: Here, the region R is bounded by the functions f(x)=2x, g(x)=1 between x=1, x=2. So, the region is:

Q: 2. (y²-xy) dx + x² dy 2

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Q: 4- 3 2+ 1- -2- -3- Find T/2 Q The graph of the function f(x) = = tan x is given above for the…

A: The graph of the function fx=tan x, is given for the interval x∈0, 2π only.To determine the one…

Q: Simplify the sums: 2. 2(x²+2x+1)-2Σ₁2(+1)

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Q: 5. Solve the initial value problem cos(x) y with y(0) = 3.

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Q: Let f(x) = 3x² + 12x − 5. Using the definition of derivative, f'(x) = lim h→0 enter the expression…

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Q: management team has decided to permanently implement remote working for all technical staff and sell…

A: The solution is given below

Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

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Q: = The velocity of a particle moving along a line as a function of time is given by v(t) = Find the…

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Q: Using Table 11-1, compute the amount of compound interest (in $) earned in 1 year and the annual…

A: Solution: Principal = $ 35000;       interest = 12%;     compounded = montly

Q: 3. A step function assumes a constant value between consecutive integers n and n + 1. Make a plot of…

A: Given: Exercise 1.6 3) f(x)=n2, n≤x<n+1 To sketch: The graph of step function in the domain…

Q: 10. If x represents the solution set from the number line above, which of the following describes…

A: As per policy only first question is answered. The given is dark from x = -2  to x = 5.

Q: B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y =…

A: We have to find part B and question 2) part A (1 to 4).

Q: 1. Integrate the following: 7x2 (10x3 + 79 )0.5 within the range 5 and 9. (Please give your answer…

A: Please see the below picture for detailed solution.

Q: Set up the definite integral that gives the area of the region. Y₁ = x² + 2x + 5 Y2 = 2x + 30 -5 dx…

A: Graph of the region is given, we have to find the definite integral that represents the area of the…

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Lim x -3     (3 - |x|)/3+x

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Q: 3) show that the following limit C lim √√x y²/(x+y³) (x,y) →(0,0)

A: Given; Lim(x,y)-(0,0)x1/3y2/(x+y3).

Q: mmas: 5 4- 3 54 -3 -2 -1 2 1 7 -2 -3 بنا the equations of the ver 2 3 4

A: We know x=L is the vertical asymptote of a function y=f(x) if the limit of the function (one-sided)…

Q: 1. Given f(x)=x+³,g(x)=√-4x+1 and h(x)=x²-2x-3, determine 2 (a) (fogoh)(-1) (b) the value of x such…

A: Given- Given fx = x + 32, gx = -4x + 1 and hx = x2 - 2x - 3.  To find- Determine c. Df∘g Dh+g Dhg…

Q: 3. Given f(x) = 2x² − 3 and g(x) = 3x +1. Find f(-4), g(1/6), (f+g)(-1), (f− g)(4). Solution: 3

A: Given f(x) = 2x ^ 2 - 3 and g(x) = 3x + 1

Q: Find value or values of x that will make function f(x) = -3x2 + 7 discontinuous

A: The given function is! f(x) = -3x2 + 7 .

Q: 2. a) Use limits to find the derivative of the following function at the point a = 6. g(x) = √3x - 2…

A: Derivative using limit and tangent to line

Q: sin (20) = 2 1 at are the solutions to sin (20) = - 2 in the interval 0≤0<2x? A. The solution set is…

A: Topic:- trigonometry

Q: of the following ratios will give a value that is closest to the golden ratio? Select one: a.…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

A: As given that limx→af(g(x))=flimx→ag(x)And also we know that limx→af(x)n=limx→af(x)n, where n is a…

Q: Prove the identity. (secx-1)² secx-1 tan²x secx + 1 Note that each Statement must be based on a Rule…

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Q: what would be the x-values at which f is differentiable?

A: Let's find.

Q: {√n² + n - n } n =1 Determine whether the sequence converges, and if so fin. If the sequence…

A: Given : for n = 1 a1= a2= a3= a4= a5=

Q: Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in…

A: 2. Given y(x)=C1x+C2e-4x So, y'(x)=C1-4C2e-4x.....(i)

Q: Find the arc length of the function y = x2 + x - 2  on the interval [-2,1].

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Q: Find the derivative f'(x) f(x) of the function. 5x − 7

A: Given, f(x)=5x-7x

Q: 2. (a) Let f(x) = 4- x² X- and find f(2) or explain why it does not exist (b) Use algebra and other…

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Q: 2. Non-calculator: Sketch the graph of f(x) and identify any values of c for which limx→c f(x) does…

A: To sketch the graph and check at which point limit does not exist.

Q: The partial fraction decomposition of f(x) , and g(x) Question Help: Video Add Work 64 ²-9 can be…

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Q: Find the second derivative of each function. Do not leave negative exponents in answers: (a) y =…

A: Given that a. y=5x12-2x-1b. y=x+2x2-4+e3xTo find : Second derivative of each function Solution :a.…

Q: Q4) Find the volume of the solid generated by revolving region bounded by curve y=√x and the line…

A: We will find the volume of the solid generated by revolving the curve y= sqrt x and the line x=4…

Q: A) Find the equation of the tangent to the following curve y = e* that is parallel to t line x - 4y…

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Q: (2√5x - 1)²

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Q: Given the graph of a relation, determine its domain and range. 1. 2. 3 Domain: Range: Domain:…

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Q: For the function f graphed below, find the following limits. 1. lim f(a) 3 help (limits) 26 = 2. lim…

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Q: 30+ 28- 26- 24 22 20- 18- 16 14 12: 2 8 10 12 14 16 18 20 22 The per capita consumption of breakfast…

A: The consumption of breakfast cereal in U.S Ct=-0.0031t3+0.12t2-0.35t+11.5 pounds, where t is the…

Q: Oil Production in Mexico The following graph shows approximate daily oil production by a country's…

A: The graph shows daily oil production by a country's national oil company in million of barrels per…

Q: Find general form of the equation of the circle below. x² + y² + ax + by + c = 0 If the given is (x…

A: To find general form of given circle.

Q: 4. Non-calculator: Find a nonzero value for the constant k that makes f(x) continuous at x = 0: tan…

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Q: 6) f(x) = 4+(-x-2)' 2

A: