Use integration by parts to find the indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) [in(√x²-9) dx

Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

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Q: Evaluate the integral and check your answer by differentiating. x8 + 8x5 x7 1 dx +C

A: Firstly expand the fraction of given Integral and then integrate

Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Describe the domain and range of the function. xy x-y z Domain: 0 {(x, y); y # 0} 0 {(x, y): x*y} O…

A: To find domain and range of the given function.

Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

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Q: 1. A cylindrical tube expands as its radius r and height h increase at the rate of 2 in/min and 4…

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Q: 3. Find the Laplace transformation of the function: f(t) = cos (2wt) cos (3wt). Hint: write cos(20t)…

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Q: 4. [0/11.11 Points] A rectangular page is to contain 54 square inches of print. The margins on each…

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Q: Many patients get concerned when a test involves injection of a radioactive material. For example…

A: Given :   The curve is to be fitted R = Ae(Bt) Taking log both side  log10(R) = log10 A + Bt log10…

Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: What is 2x2

A: We can answer the question as below.

Q: s 32x² (x-15) (x+5)² dx I

A: Integral

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: The differential equation is given by,  t2 y'' - 4t y' + 6y = 0  Given,    y1 (t) = t2

Q: If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det…

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Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: Suppose f(x)dx= 2 and f f(x) dx = 1, and f3f(x)dx=-6, what is B. 2 C. 3 D. 4 A.-2 f(x)dx?

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Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

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Q: Write a polynomial f(x) that satisfies the given conditions. 2 Polynomial of lowest degree with…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: Q2: Solve the following integrals: (3) dx

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Q: Evaluate the following integral. 45 S SS²² dz dx dy -411

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Q: 4 (A): If A = 2 -2 Find AB and AC. 2 01 1 -1 0; 1 2 B = 2 -1 3 1 -2 -2 and 2 1 3 C = 0 1-31 6 1 2 -1…

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Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x,y) → (0, 0) x²…

A: To evaluate: lim(x,y)→(0,0)x+yx5+y

Q: Find the absolute maximum and absolute minimum values of f on the given interval. a)…

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Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…

A: We need to solve for the remaining angles and sides of the triangle.

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A: I have stated the used formulas in the solution.

Q: (B): Find the tangent equation to the curve y = sin² x at point x =

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Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

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Q: Sketch the space curve. Function r(t) = (5 sin t, 3t, 5 cos t) 1.0 0.5 0.0 0.0 -0.5 -1.0 -5 N 0.5…

A: Please see the below picture for detailed solution.

Q: a) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P(-1,-1,2)

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

Q: Use the substitution u= x² + 6 to find the following indefinite integral. Check your answer by…

A: To evaluate the integral.

Q: 4 2 fcsc^x col²x dx S

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Q: If the terminal side of angle A goes through the point (−24/25,7/25) on the unit circle, then what…

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Q: 1) - 7x²+14x+15 (x²+3)(x+7) dx

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Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Find the distance between the pair of points (2.5,8.2) and (-0.5,5.2). If necessary, express the…

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Q: 8 If f(x) = 3 + = + x 6 x2 find f'(x). Find f'(4). Round to 3 decimal places if necessary.

A: Given that f(x)=3+8x+6x2-(i)Our Aim is to find f'(x) and f'(4).

Q: Given that 0. ∞ n=0 x = 1 1 <- x to x = = Identify its interval of convergence. The series is…

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Q: 2. y = Arctan

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Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: Q3 :(A): By using "L' Hopital rules"; Find the limits of : 1 (1) lim,-ol1-cos x sin2x (2) lim,…

A: 3)1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0(tan-1x-x) /x3 Repost the next question.

Q: Consider the given function, h(x) = -x²+6x-13. (a) State whether the graph of the parabola opens…

A: According to our guideline we can only answer first three subpart and rest can be reposted.

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g(x)=6x³-7x²-36x+42…

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Q: dw (C): If w = tan x and x = 4t³ + t; Find dt

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Q: .2 .4 S 7 iti ti ti ti 1+ -14 ។ 11 2

A: it is very basic question of complex number.

Q: The line graph shows the average number of awakenings during the night for men and women of…

A: To find the difference between the average of awakening during the night.

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below: