n=0

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: Consider the following. 18/1 + e−x = 2 (a) Find the exact solution of the exponential equation in ...

A: The given equation,   181+e-x=2

Q: A famous leaning tower was originally 186.5 feet high. At a distance of 128 feet from the base of th...

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Q: Below is the plot of a function f(x). 15t 14 13 12 10- 8- 4. -9 -8 -7 -5 -2- -7 -8- -10- -H- -12 -13...

A: According to the graph, there is a local maxima at x=-3 and a local minima at x=1

Q: Plot the first four terms of the sequence 3n2 – 3n + 2 2 n=1

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: 4- x Find the equation of the tangent line tof-l at the point P (G, 1) for f(x) = x+1 Provide your a...

A: Topic:- application of derivatives

Q: 4. Verify. COSX 1+sinx = 2secx %D а. 1+sinx COSX b. cosx(1+ tanx)² = secx + 2sinx %3D

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Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

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Q: CoS 2X sin x,co

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Q: Find a polynomial P(x)=x^3+ax^2+bx+c satisfying ALL of the following properties: i) x = -4 is a loc...

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Q: Find the directional deriva tive OF the Function at the point P (!,) in the dlinection V= -i

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Q: Find the differential of the function w = z sin(y'z?) dw = dz+ dz +hp

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Q: +00 (2n)! E(-1)"- 2" n=1 O divergent O convergent

A: The objective is to find the convergence or divergence of the series. 

Q: The point P has coordinates (-1, 4, 11) and the line / has equation r = (i) Find the perpendicular d...

A: The perpendicular distance, ?,between a point ?(?,?,?) and a line with direction vector d→ is given ...

Q: (cos 3t)²dt

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Q: A particle moves along the x-axis so that at time t >0 its position is given by x (t) =t² – 10t + 10...

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x*- x...

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Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

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Q: Express the integral as an equivalent integral in which the z-integration is performed first, the y-...

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Q: 2.) Find 1st derivative of y = e-'In (x-1)

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Q: MODULE IN BASIC CALCULUS IV. Exercises 1. Determine the general antiderivatives of the following fun...

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Q: X X sin². sin? - cos' ,dx CoS 2 2 2.

A: x2=u → dx=2 duI=2 ∫ sin2u cos7u duI=2 ∫ sin2u cos u cos6u duI=2 ∫ -sin2u cos u (sin2u-1)3 dusin u =v...

Q: Find the equation of the tangent to the curve y=xcosx at x= 7. Use exact values in your answer f app...

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Q: dy given the equation a+y° = e. dz Use implicit differentiation to determine dy %3D dz > Next Questi...

A: dfx±gxdx = d(f(x))dx± dgxdx dxndx=n.xn-1 dexdx=ex

Q: graphing calculator is recommended. Find the following, rounded to two decimal places. (Enter your ...

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Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: What is the integrating factor for the differential equation? dy dt + 9ty = ety

A: Comparing with dy/dx+p(x)y=q(x)  Then integrating factor=eintegration p(x) dx

Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the ...

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Q: +00 1 9n? – 18n + 8 n=1

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Q: 5x dx J 4x+12x²+9x³

A: On solving this we will get:

Q: Let f be a differentiable function such that f (2) What is the approximation for f(1.8) found by usi...

A: Given query is to find the value of f(1.8).

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

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Q: Simplify the trigonometric expression. cosx(secx cosx) |

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Q: 1. y = ax? + 2be2x

A: Since you have posted multiple questions in this question which are not interlinked so I have solved...

Q: A cylindrical tank with a radius of 5 ft and a height of 20 ft is filled with a certain liquid chemi...

A: topic - application of derivatives

Q: Exercises: Differentiate each function with respect to x. 1. y = (x³ + 3)5 2. y = (-3x5 + 1)3 3. y =...

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Q: ſcos^4 (2t) dt * O 3/2 t + 1/2 sin4t + 1/16 sin8t + C O 1/4 (3/2 t + 1/2 sin4t + 1/16 sin8t )+ C O 3...

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Q: 3 Calculate the arc length of y = x? over the interval [1,5].

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Q: (b) Determine the equation of the line normal to f(r) =r²- 4r +5 at z = 1., Hint 1: The normal line ...

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Q: Question 33 сm The figure above shows a right triangle with dimensions in centimeters. If 0 = 41°, w...

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Q: (1-x+2x²-x³ -dx x(x²+1)²

A: NOTE: Refresh your page if you can't see any equations. . first, we need to use the partial fractio...

Q: Solve the initial-value problem by using integrating factors. y' = y + 8xex, y(0) = 8 y(x) =

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Q: +00 2n determine the interval of convergence of (-1)"+1 n3 + 2 n=1

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Q: Solve the initial-value problem by using integrating factors. xy' = y + 4x ln(x), y(1) = 3

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Q: Differentiate: -X=COS y O a. -sin y O b. -1/sin y O c. cSc y O d. secy

A: Topic:- derivative

Q: Find the point(s), if any, at which the graph of f has a horizontal tangent line. f(x) =  x2 x − 5 s...

A: We have to find the point at which the graph of f has horizontally tangent line

Q: Find the first derivative of the given functions: 1.)  x=(Arcsinh(1-b))2   2.) y=e-xcosh ln(x)

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Q: x5+x-1 4. S**- dx x3+1

A: A detailed solution is given below

Q: I Find the second derivative (y") of the following functions and simplify the final 1. y = x – x?cos...

A: As per our guideline, we are supposed to answer only the first question, to get remaining kindly pos...

Q: Σ cot n=1 converges or diverges. You have to use the Limit Comparison Test to justify your answer.

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