What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 7x)y² , y(0) : - ...

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Q: (3x +1, xs0 f (x) = {x,0 < x <4 x – 5,x 24 2 6. Given , evaluate f(3). O f(3) = 9 O f(3) = 10 • f(3)...

A: Given query is to find the value of the function and at x = 3.

Q: 4. Determine the following derivatives without simplifying either before or after. (YOU MAY USE ANY ...

A: Using given formula then solve it. 

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

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

Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

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Q: Find an equation of the line passing through the pair of points. (-5) ( 1) 4

A: The equation of the line is solved below.

Q: Use the graph of f(x) shown below to determine each of the following limits. 8- 4- -3- 2 -7 -6 -2 -1...

A: The graph of the function is To evaluate:  a. limx→-4-fxb. limx→-4+fx

Q: Determine the values of r for which the differential equation y" – 36y = 0 has solutions of the form...

A: We have to find the number of values of r which satisfies the equation.

Q: dy The following problem involves an equation of the form dt = f(y). Sketch the graph of f(y) versus...

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: lim f(x)

A: Looking at the graph, we can tell that

Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: The Intermediate Value Theorem can be used to approximate a root. The following is an example of bin...

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Q: Consider the following sequence: +00 3" {a, } = An+1 -to show that the given sequence {a, } is stric...

A: NOTE: Refresh your page if you can't see any equations. . the given sequence is  now substitute n+...

Q: -5 -4 -3 -2 -1 -2 -4 Find the following. lim f(x) = lim f(x) lim f(x) = f(1) =

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Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n} Determine whether the sequence conve...

A: Here is the solution

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

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Q: Given the function below f(x) = V180x + 36 %3D Find the equation of the tangent line to the graph of...

A: We use the formula the equation of the tangent line is y-y0=m(x-x0)

Q: Find the derivative of the function. g(x) = ex5 - 2x g'(x) = %3D

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Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

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Q: Let f(x) = v6 Then the domain of fogis equal to a, b] for x and g(x) = x? - x. - а and b =

A: f(x)= √(6-x) and g(x)=x2-x  Find domain of f(g(x)) is ? 

Q: Consider the function f(x) 2a 15a? 36x + 10 on the interval – 6, 8. Find the average or mean slope o...

A: Given query is to find the average rate of change and the value of c for the function.

Q: Ve dx

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Q: Find derivative: y = cot¬'( )+ tan-1 x³. [Simplify answer

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Q: Items 15 The graph of a function f is shown. On top of the graph of f, sketch the graph of f'. Use a...

A: The graph of the functions are given as 

Q: (a)2承+2 (b) k=1 1+ 16k²

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Q: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expend...

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Q: Find the point(s) of intersection of the line x = 1 – t, y = t, z =1– 2t - and the paraboloid z = 8 ...

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Q: Which of the following is not true? Of imit of f(x) as x approaches a is Land f(a)-L, then f(x) is c...

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Q: Rita needs to make a garden plot which has an area less than 18ft2 . The length should be 3ft longer...

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1+9) 6. an = %3...

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Q: V3 2 dy 1- у?

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Q: 7) sec2 0 + 1 = 2 SEC 9) 7sin? 0 + 2 = 5 +3sin? 0 %3D 11) 2tan? 0 = -tan? 0 + 1

A: As per the bartleby guidelines we can answer only three subparts at a time so the first question can...

Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

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Q: Evaluate the definite integral. 13 dx 3 (1 + 2x)2

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Q: HOW DIDHE GET THE VALUE INSIDE THE CIRCLE AND THE ORDER OF THE STEPSAFTERIT? 2. dz Sol Let b2 = 2t Z...

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Q: Compute the directional derivative of the following function at the given point P in the direction o...

A: We have to find the directional derivative of the function f(x,y).

Q: Find the points at which the following function is discontinuous. 2x2 + 4 if x 4 f(x) = { 6x2 + 2 2...

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Q: [2x+5y=7 3x + 2y = -6' 1. Solve the linear system using graphical method.

A: The given linear system,2x+5y=73x+2y=-6

Q: Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 4. y = 1 (Type your answ...

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Q: 7) fouo momEUT THE Mss, THを momet Adout X-4XIS, Aんの 2 A BOLT Y-AXTS of RLJOU Boun DEp By THE メート Dev...

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Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: Solve the given differential equation. All solutions should be found. dy ° – 6y NOTE: Use c for the ...

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Q: 1 (Б) ' (1 + k)l/5 This series converges. eTextbo may or may not converge; it cannot be determined. ...

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Q: lim f(x) r→-2

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Q: Use cofunctions of complementary angles to find θ where cos(17deg) = sin(θ). Use logarithm properti...

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Q: Find lim f(x) r→-5

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 2 k(k ...

A: The series is telescoping if we can cancel all of the terms in the middle ( every term but the first...