Evaluate the following integral. 48x² S dx (x-15)(x+5)²

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A: Take (1+4x)1/2 = t

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Q: Consider the following. de Use the substitution u = sin(0) to rewrite the given integral. SCC du The…

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A: We have given  xlny+4y=2x3  Find y' and y' at (-1,1)

Q: Find the general solutions of the system. 601 x' = 08 8 -4 x 01 4 x(t)=

A: The given system,x'=60108-4014x

Q: 33° 45° 87° 60° 35° 30° Drag each reference angle above to the corresponding angle below. Answers…

A: Given :(1) 93° (2) 215°(3)-150° (4)-60°(5)765°(6) 480°

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Q: If f(x) = In(4x + In(x)), find f'(1). f'(1) =

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Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: Suppose that f(x, y) = e/ on the domain D = {(x, y) |0 ≤ y ≤ 1,0 ≤ x ≤ y³}. D Q Then the double…

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Q: Question Find F" (2) given that F(a) = *(1+2²)¹³ (1 +15) ¹5 dt. (Do not include "F" (a) =" in your…

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Q: Q5/ By Using Cayley-Hamilton method the inverse of the following matrix is:

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Q: (a) (8,4) r> 0 r 0 r 0 r< 0 -5) 3 = = (r, 0) (r, 0) = (r, 0) = (r, 0) =

A: Follow the procedure given below.

Q: dx 17 +2ox +5х2

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Given the function, f (x) = -2(3)*+² +7 a) Find the average rate of change of f(x) between x = 4 and…

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Q: Repeated Irreducible Quadratic Factors: Examples 2x² +9 x4 + 10x² + 25 dx

A: The given integral is;  (2x2+9)/(x4+10x2+25).

Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: Question 32² If F(x) = √3+ Int dt, what is F"(x)? (Do not include "F" (a) =" in your answer.)…

A: This question is related to differentiation, We will solve it using given information.

Q: Dr. Zeyid T. 1 Y₁ =D²-²-2-[x²] Yp y, = [−1− D² + ···] · [2x +3] : y₁ = -x-2 P How

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Q: 1. The simplified form of the logarithmic expression log6 + 2log3 is a. log36 b. log54 c. log81 d.…

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Q: 2. Sexdx

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Q: Find the interval of convergence of the power series: ∞ n [²(+1²] (x + 1)n 1)"] 2n n=0

A: To find the interval of convergence.

Q: d²y 1. dx² - dy - 6y = 0, when x = 0, y = 0, and when x = 1, y = e³ dx

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Q: The graph of the function f(32x) can be obtained from the graph of y = f(x) by one of the following…

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Q: For which of the series below the Integral Test can be used to determine whether the series is…

A: Recall the integral test:If fx is continuous, positive, decreasing on the interval k,∞ andfn=an…

Q: The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be…

A: Given, The tide depth in Deep cove from 4:00 to 15:00 on January 6, 2011 can be modelled by…

Q: 2 Q41 x ² dy- (xy + y ² ) dx = o Q4\x

A: The objective of the question is evaluate the differential equation.

Q: 10 End of block exercise: Pase 1002 find a solution: general solution of the differential equation…

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Q: dx 6) Stanh-¹ (in √x) x (1 - in ² √ x

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Q: 37) 1 Solve the following simultaneous linear D.E. [D+1 12 [+1 10+2 5D=210) = (2-1)

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Q: J 1. Fin Find 2x³ (6 + x) dx TU

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Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: form: 2)If z=(2√3-2i)² then the angle 0 in polar 71 117 6 6 خیار 1 117 3 خبار 2 خبار 3 O

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Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: 1. In x x² dx

A: The given integral is: I=∫16lnxx2dx   So, we can also write as; ∫16lnxx2dx=∫16lnx·1x2dx=∫16lnx·x-2dx…

Q: Find the average value f of the function f on the given interval. ave f(x) = 6x - x², [0, 2]

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Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: Find an approximation of the area y = 16 - x² over the interval [0,4] using L6 (left end point…

A: Use: Area=∆xf(x1)+f(x2)+f(x3)+f(x4)+f(x5)+f(x6)       where ∆x=b-anwhere n= no. of rectangle…

Q: Based on the table below, X 0 1 2 f(x) 43 32 38 Evaluate f(2) f(2)= Solve f(x) = 1 X= 3 54 4 83 5 6…

A: We need to find f(x) at which the value of x is 2

Q: An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8m. If these are…

A: Given :   Semi major axis of ellipse = 6m and semi minor =4.8 m

Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.

Q: Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region…

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Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

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Q: Find the absolute maximum and minimum of f(x, y) = x + 3y within the domain x² + y² ≤9. 1. Absolute…

A: Here to use the lagranges multiplier to find the maximum and minimum value of tehe function f(x,y)…

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0 ≤ x ≤ π

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Q: 17 What is the degree of vertex 4? O 1 ez el V2 V₂ Des

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Q: Determine whether the statement is true or false. True False The equation y' = 4y - 2x + 8xy - 1 is…

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