(Use decimal notation. Give your answer to three decimal places.) rate: 1.2 m/s

Q: Find the inverse of the function on the given domain. f(z) = (x – 14)2. [14, 0) f-1 (2) =

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y dy 6 У - 2у - 3…

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Q: Express the Cartesian coordinates (-3,1) in polar coordinates in at least two different ways. Write…

A: We have to convert in polar coordinates.

Q: 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

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Q: 1. It is a list, or an array of numbers arranged in a definite order. a. ordering C. arrangements d.…

A: Ans 1.       A sequence is a set of numbers  arranged in a definite order. and the numbers in the…

Q: taylor LnX

A: Taylor series:  fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+..... Where centered at x=a.   Given; fx=lnx…

Q: Find the area of the surface obtained by rotating the curve y = V6x from x = 0 to x = 2 about the…

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Q: Find a cartesian equation for the curve r2 cos(20) = 4. Equation Use your answer above to identify…

A: Use the formula for conversion from polar to Cartesian coordinate.

Q: This equation is.. differential .equation dy y2 =x² + dx %3D ху Bernoulli O Linear O Homogenous O…

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Q: Find the limit.

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Q: * This equation is . differential equation dy + 4xy = x y3 dx Bernoulli Linear Homogenous O…

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Q: 5. Determine the horizontal asymptote. x³ +2x² -6 а. У- x? x* +3x° +x² –7 b. y: x* - 3x³ +8

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Q: 5. Determine the interval on which f(x) = x+2 is integrable. %3D (-00, 2) [-2, co0) (-00,-2) U (-2,…

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Q: Calculate the surface integral / G(r) dA, where G = (12zz + 36)/2, the surface S is given by the…

A: We have to find the surface intgral.

Q: A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls…

A: Given :d(t)=16t2ft

Q: Find the 18th term of the arithmetic sequence. - 6, - 16, - 26, - 36, ... The 18th term is

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Q: ssume that the two points (x1.y1) and (X2.Y2) lie on the graph of the straight line y = mx +b. Use…

A: here, i am providing my handwritten solution

Q: Solve the integral using wallis formula.

A: This question is related to definite integration, we will solve it using given information.

Q: sin n z cos z dr

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Q: | (7x + 4) e dx

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Q: Find the radius of convergence, R, of the series. 2 n!(2x – 1)n n = 1 R = Find the interval, I, of…

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Q: f (x) = arctan(x) Consider Using the given f (0.75) by making use of function at approximate the…

A: This is a problem related to series expansion. Based on the general formula and concept we will…

Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: 6 A)

Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: Given problem:- f(x) = x3 - 9x2 + 24x - 10 To find:- i) the critical values   ii) the intervals of…

Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2-i,z3 = -V3- 3i and z4 = 4 + 4i %3D 3.1 Represent…

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Q: f(x) = (13 + 6t² + 1) dt

A: SOLUTION-

Q: Match the graphs with the corresponding formulas. 1. Sn = 2 – 1/n 2. Sn = 2+1/n ? v 3. Sn = 2+…

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Q: Find the slope of the tangent line to the curve – 2x? + 4xy + y³ = 8 at the point (4, 2).

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Q: Mathemades Exercises Find the solution of the following Differential Equations 1) 4y+x'y=0, K0) = 2,…

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Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A: This is a problem of differential equation. Based on the general formula and concept of separation…

Q: Find all critical points of the function f(x) = x³ - x? – 54x + 6. (Use symbolic notation and…

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Q: Find the length of the curve y ' = 8x from x=1 to x = 8 www

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Q: 10u +4 /ũ Find the most general antiderivative of f(u)

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Q: 78 7 -1 V7x +3 dx =

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Q: Use the Laws of Logarithms to expand the expression. 4x7 In (x + 3)8

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Q: Express the following sums using sigma notation. a. 4 + 5+6+7+8 b. 6+ 12 + 18+24 +30 +36 c. 12 +22 +…

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Q: Given an area of circle of 96 inches squared, determine its given radius by using the initial…

A: This is a problem related to numerical method. Based on the initial value of the radius we will…

Q: 4 -3 -2 -1 1 2 3 Q 19 For the above rational function f( x ) = identify the interval on which f is…

A: The given function is:…

Q: Find the absolute extrema of the function on the closed interval. t2 g(t) = 7 (-2, 2] 1. t2 +…

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Q: A region in the xy- plane has a z-output given by the equation z = In(x?) + 2xy - e*y. Determine the…

A: the volume between the x-y plane and below the z-axis is given by V=∫x=∫y=∫z=dzdydx According to the…

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) 1. If у" + у…

A: Differential equations

Q: Use the table of frequently used Taylor series to find the sum of the series. - 3+ 6x - 9x + 12x -…

A: Solution

Q: Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the…

A: Washer method: To find the volume enclosed between two functions, the washer method is applied. We…

Q: 3n3-2n2+4 6. Determine by the limit comparison test if Ln= n=D1 converges or diverges. n7-n3+2

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Q: A graphing calculator is recommended. Find the dimensions that give the largest area for the…

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Q: Show that the lines L1 : x =1- t, y = 2t, z = 4+t and L2 : x = 1+ 3t, y = 3 – 6t, z = 5 – 3t are…

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Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: Evaluate the sum. Σ (-2) k 2 k=2

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Q: |2 tan(x)dx

A: I am attaching image so that you understand each and every step.