b) _E=1n"x"

Q: Evaluate the following integrals (cont'd) (c) S dx (9-x²)3/2 dx

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Q: Write a polynomial with a leading coefficient of 1, degree 3, that has zeros at and x = − 5. Write…

A: Given query is to find the polynomial.

Q: Sketch the region in the plane consisting of points whose polar coordinates satisfy the giver…

A: Note :- according to bartleby guidelines i only have to solve first 3 sub parts of a multiple sub…

Q: Which of the following represents the series? −13 + (−7) + (−1) + 5 + 11      b    c    d

A: given  series is  -13+(-7)+(-1)+5+11first term is   -13

Q: speed

A: We have to find the speed according to the given information

Q: 4) Write the taylor { Cn(x-2) n não series for f(x) = ex about x = 2 as

A: Given that fx=ex centered at x=2. We have to find the Taylor series for fx.

Q: Evaluate the indefinite integral. 4 (t + 12) 4 -dt Question Help: Video Submit Question Jump to + C

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Q: Evaluate the expression under the given conditions : Sin (O+p)-?, Sind= 15 O in Quadrant I 17 ) 2√5…

A: To find the value of the given trigonometric expression

Q: 1) Determine the solution of the differential equation dy x +y = r² + r da

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Q: O Find the area of the region bounded by y = 4x - x² and y = x² - 2x.

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Q: On which of the following intervals can the domain of y function will be defined? 0 10,1 O [T, 2π] O…

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Q: this

A: We have to choose the correct option from the given options according to the given information

Q: Find the four second-order partial derivatives. 5 f(x,y) = 2x y-5xy +9y fxx(x,y) = fxy(x,y) = fyx…

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Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

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Q: Find the derivative of the function g(x) = x².e-5x

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Q: Assume x > 0. Use logarithmic differentiation to find dx None of these. In(x) O (√)(*) In (2) 2x O…

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Q: 1 COS X sin² x O - cscricot - O sec x O tan x dx = cotx +C - tam x - C + C secx + C O csc x - cotx +…

A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

Q: Find the vector equation that represents the curve of intersection of the paraboloid z = surface x =…

A: given  z=3x2+y2x=ey

Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

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Q: Find d dx [(5x³ - 2x) ¹] 3 4(5x³ - 2x) ³ 4(5x³ - 2x)³ (5x³ - 2x) (15x² − 2) 4x³ (15x² − 2) 3 4(5x³ –…

A: The given problem is solved below in detail.

Q: Identify the vertices and foci of the hyperbola with equation Enter your answers as ordered pairs…

A: we need to find the vertices and foci of the given parabola.

Q: The volume of a balloon is inflated from 0 to 8 m³ in 5 minutes. What is the average rate of change…

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Q: The graphs of two functions are shown with the areas of the regions between the curves indicated. y…

A: We have to find the required area by using the graph

Q: Graph the circle given below by moving the key points: To graph the circle, drag the center point to…

A:

Q: The system of differential equations dx = 0.5x -0.002x2 -0.001xy dt dy dt = 0.6y-0.001y2 - 0.006xy…

A: Solution: dxdt=0.5x-0.002x2-0.001xydydt=0.6y-0.001y2-0.006xy

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: Determine whether the matrix is invertible. 85-8 -7 0 O No Yes NN

A: A matrix A is invertible if the determinant of A is not equal to zero.

Q: 4 n=1 What is the expansion of the series 4+1?

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Q: Find the partial fraction decomposition of 5 2 x²+x-6

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Q: Newton's Law of Cooling. The initial temperature of an object is 37.8 degree C. If it took 10…

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Q: 2 /- cos. X HCSX 2 4 cos x /-CSX

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Q: Find the limits. (d) lim (√√9x²+x-3x) (e) lim- xsin X 1xtan (f) lim -- 1-x-x² 2x²-7

A: We are give that find the limit for following a)  limx→∞9x2+x-3xb) limx→∞xsin1x1+xtan1xc)…

Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: A projectile is fired vertically, and its height (in feet) after t seconds is given by s(t) = −15t2…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is  add and…

Q: Given the ellipse below, determine the coordinates of the two foci. Enter the coordinates as ordered…

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Q: Suppose that f'(x) = Answer: 8 + x² and F(x) = f(√). Find F'(1).

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Q: What is the value of 34 25 2 O 17 0-1 S²₁ x-3 dx?

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Q: 15. For the following power series, a) find the series’ radius, R, and its interval of convergence.…

A: root test

Q: Find the exact length of the curve. x = 8 + 12t2,    y = 3 + 8t3,    0 ≤ t ≤ 2

A: Given that:   x = 8+12t2 and  y = 3+8t3 , 0<=t<=2. Find the exact length of the curve.   Here…

Q: Question 19 Compute the given integral. fre -1² dx = Submit Question > Jump to Answer +C

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Q: can you please explain further what is being said I do not understand

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Q: Please answer the question. Asap. Thank you.

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Q: 16) Let f(m)-0 be the auxiliary equation of f(D)y=0 with solution set equal to (-1,0,0,2), then…

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Q: EXAMPLE 7 Sketch the conic below and find its foci. 25x²9y²-150x + 36y + 414 = 0 SOLUTION We…

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Q: sing the method of variation of parameters to olve the nonhomogeneous DE: y" + 6y + 25y = 7+ 2x² we…

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Q: Sketch the region enclosed by y = 2x and y = 6x². Find the area of the region.

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Q: Find the area bounded by the line f(x) = 2x + 15, the curve g(x) = x² − 4x + 20, and the two…

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Q: In decomposing the rational function C (x + 1)² A x - 5 01 0-1 O-2 02 + 0 0 B + x + 1 2 x² + 11 -as…

A: Explained below

Q: 2 2 Find the area of the surface cut from the paraboloid x² + y² + z = 0 by the plane z = -20.

A:

Q: At what points on the given curve  x = 4t3, y = 2 + 32t − 4t2  does the tangent line have slope 1?…

A: Answer is in step 2.