1. f(3x + 1)¹5 dx 2. f(8x³ + 2x² - 1)7 (6x² + x) dx x-2 3. f dx √50-5x3

Q: Question 13 Which of the following satisfies the differential equation d² y dx² A. y = e³r B.y=e-3x…

A: Explanation of the answer is as follows

Q: Find the volume of the region bounded above by the plane f(x,y) = 6x +2y + 25 and below by the…

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Q: x²y" + 2xy' 6y = 0 -

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Q: Let f(x) = In(64x2 + 16x + 26). (If an answer does not exist, enter DNE.) (a) Find the interval(s)…

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Q: Consider the vector-valued function R(t) = {{ (a) Find the domain of R. (b) Show that is continuous…

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Q: Find the general solution. ورم

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Q: Question 7 of 21 Given A = {f,r,i,e,n,d,s}, B = {1, o, v, e) and C = {a, n, g,e,r}. Find (An B) u…

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Q: Find area inside 3 - 3 cos 0 and outside r = 3 Ⓡ

A: Consider the figure below :

Q: Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at…

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Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

A: Given query is to find the value of x.

Q: Determine whether the series is convergent / divergent (4) Σ.Ξ1 +∞ 1

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Q: 35. √2x³ = 9x³ - 3x + 1 x³ = x² dx

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Q: Find all the values of x such that the given series would converge. 8" (x)(n+1) (n+8) n=1 The series…

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Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Find the interval of convergence for The interval of convergence is a E n=1 (x − 2)" - n² 2n

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Q: The function f(x) = 7 1+9x² f(x) = 2 chan Σar n=0 Find the first few coefficients in the power…

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Q: y = lnx and x-y-4 = 0

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Q: 3.) Find the directional derivate of f(x, y) = tan¹ (3xy) at the point (1,2) in the direction of…

A: We have to find  directional derivative

Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: Evaluate the following integrals: 1. f (cosx- sin x) dx 2. fcot²x dx 3. f (sin x + x) dx

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Q: Evaluate the iterated double integral 2 b.) √ √ ² sinπTy ³ dydx

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Q: A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It…

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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Q: What is the average rate of change of y with respect to over the interval [3, 5] for the function…

A: topic- average rate of change of function average rate of change for linear equation is equal to its…

Q: Find the area of the region between the graphs of y = 16-2² and y=-62 +9 over the interval -3 ≤z≤1.…

A: Given: y=16−x2 and y=−6x+9 Let's first find the intersection point of y=16−x2 and y=−6x+9 16-x2…

Q: Volumes By Washer Method. Find the volumes of the solids generated by revolving the regions bounded…

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Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

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Q: Let x be a continuous random variable that is normally distributed. Find the requested probability…

A: Given; standard deviation=0.9, mean=15.2

Q: II. (3 + x, if x ≤ 1 (3-x, if x > 1 Sketch the graph of the given function. 6. Let f(x) Investigate…

A: we have to check continuity at x=1 for the given function

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Compute the missing terms in the arithmetic sequence. 72, **** 1)..., 24,

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Q: x+1 2-1 24 - 1 Evaluate the given limit of lim O-1 01/1 0 -¹ O Olimit does not exist if it exists.

A: Solved below...

Q: nd the area (in square units) of the region under the graph of the function f on the interval [5,…

A: Given query is to find the area under the curve

Q: Suppose 8 3n f(x) = n! (x - 7) n n=0 7 To determine So f(x) dx to within 0.0001, it will be…

A: We have to find the value of integral.

Q: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x-3y - 2 = 0…

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Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

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Q: Q1: Answer the following matrices: 1 2 3 456 789, . [.. + 3 2 1 654 9 8 7, b)

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Q: Please

A: Please refer to the image below

Q: Determine the equation of the hyperbola with center (8, −5), a vertex at (8, −2), and a co-vertex at…

A: The objective is to determine the equation of hyperbola.

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

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Q: 3. Evaluate sin5 xdx

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Q: 1 Given that 1 1-x a with convergence in (-1, 1), find the power series for 7-x n=0 n=0 Identify its…

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Q: 50° E 30° D In the figure above, line segment AC is tangent to the circle with center O at point B.…

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Q: Question 13 Find the area of the region between the graphs of y=10-2² and y=-3z-30. The area is

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Q: the sum if convergent. 4) 2-6+18-54...

A: In this question, we will evaluate this series and test for convergence.

Q: 2. Find where the curves intersect, draw a sketch of the region (label it completely), and compute…

A: Region is sketched. And volume is evaluated.

Q: Use half angle formulas to fill in the blanks in the identity below: 1 (sin(8x)) = 1 COS |x)+cos((…

A: topic- trigonometric identities

Q: Find the volume of the region bounded above by the plane f(x,y) = 2x + 5y + 6 and below by the…

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