Find the indefinite integral|In(x²)dæ. [In(2²)dx= help (formulas) Use a capital "C" for any needed constant in your answer.

Q: 3-18. Show that the matrix 2 1 1 1 3 2 13 is a root of the polynomial p(x) = x& – 5x² – 5; that is,…

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Q: Let f(x)= 3-x 5-3x² 3x³-1. Than which o |2x² −1_3x³ −1_7x³ −1 the following is/are correct? (1) f(x)…

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Q: Explain why: limx→a−b f(x) = limx→a f(x − b).

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Q: 19-26. Evaluating limits graphically Sketch a graph of f and use it to make a conjecture about the…

A: We say that the limit of a function f(x) exists at a point x=a if the value of f(x) approaches same…

Q: Produce graphs of f that reveal all the important aspects of the curve. Then use calculus to find…

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Q: explain why the integral test cannot be used to decide if the series converges or diverges. α) Ση…

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Q: Find the divergence of the vector field F = div F = r

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Q: A tank initially contains 60 to the tank at 1 gal/min, ar quantity (g) of salt at time

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Q: 10. Find the radius and the interval of convergence for the following power series. (x - 3)" n² n=1

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Q: Find the directional derivative of f(x, y) = -5T 7x + 2y at the point (4, 6) in the direction = rad…

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Q: Find the exact value of tan¹(-1). Write your answer in radians in terms of it. tan ¹(-1) = B X

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Q: Calculate the integral approximation Se for 56= = c1 √² 3-² dir. S

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Q: Show that P2(x) = f(a) + f'(a)(x − a) + c2(x − a)2 for each value of c2 satisfies the requirements…

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Q: d x √-Lnx by special Functions Error or Gamma or = Beta or Q-function

A: To evaluate the integral

Q: (a) Set up an integral for the volume a solid torus (the donut-shaped solid shown in the figure)…

A: a=5 and b=6

Q: Compute the matrix of partial derivatives of the function f : R³ R², f(x, y, z) = (4x + 3e² +9y,…

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Q: find the Invense a Laplace Thansform as Function of variable to fully simplity and show all your…

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Q: 3) Using the Fundamental Theorem of Calculus (FTC), find the exact values of the following definite…

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Q: You wrote 5 instead of 15

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5 2x-3 Evaluate the integral 3 √x²-3x+1 dx Evaluate the integral f dx.

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Q: Find domain and range f(x)=x^2-5x+6/x-2

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Q: The entire graph of the function h is shown in the figure below. Write the domain and range of h as…

A: The entire graph of the function  is shown in the figure below.To find the domain and the range of…

Q: 8.) Evaluate the following limits, justifying your answers. √x-2 X-4x²-16 a.) lim

A: L=limx→4x−2x2−16

Q: find the radius of convergence. α) Σπχ" n=0 b Σπχ" n n=0 lim I en Cent R = lim | ²n M-300

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Q: 6 S₂ 7²1 dx. 2 S8 = 3 FI

A: Using simpson rule, we can estimate the given integral.

Q: Transform the following differential equations into start form for linear differential equations

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Q: Use the most efficient method to solve each equation. Leave your answer in simplest form. 14. 4x4 +…

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Q: 4- Use the series to evaluate lim x-0 ex-(1+x) x²

A: By using the series to evaluate the following limit.

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

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Q: Find the values of the trigonometric functions of t from the given information. sin(t) = 15,…

A: The given trigonometric function is and the terminal point of t is in Quadrant II

Q: Use the graph of the function f to state the value of each limit, if it exists. (If an answer does…

A: To find the limit of the given function

Q: ₂. "Derine straight line equation is space X-X y-y. Z-Z₁ b C

A: The equation of a straight line in three-dimensional space can be derivedusing vector and parametric…

Q: 5. {an} = {\ = { in 1)!} 4" (n+1)! 3 {bn} = {(- {(--)"} 2 6. 7. {cn} = { n+1 n+25

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Q: Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t) = L-1 { 6 s² +9 2s…

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Q: Evaluate the integral Answer: S dx by completing the square and using trigonometric substitution. x²…

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Q: Find the tangent plane and normal line equations for the surface x²+4y²+z²=12 at point (2, 1, -2)

A: we have given surface and point of tengency  To find: equation of tangent plane

Q: Find the function value. f(x) O = x2+7 x + 6x 2300 11 23 88 -; f(4)

A: We have :f(x)= (x2+7)/(x3+6x), We have to find f(4)Also given:f(x)=4-6x2We have to find f(-7)

Q: c. 6.071 x 10-5-8.2x 10-6-0.521 x 10-4 d. (3.8 x 10-12 + 4.0 × 10-13)/(4 x 10¹2 + 6.3 × 10¹3)

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Q: Question 5 Let f(n) = √2 log4 (3n+8n³ +999). Which of the following is true? (Select one.) f(n) € 0…

A: Given function is

Q: Find the indefinite integral for the function -8y - 5. using the substitution u = [(8y-5)7 dy = S…

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Q: I have the following limit: limx→0(sin(2x)cos(x-2))

A: We have to find the limit. limx→0(sin(2x)cos(x-2))

Q: Evaluate the following definite integral. Your answer must be exact. S cos(arctan(10t)) 1+ (10t)² 5…

A: The given integral is .The aim is to find the value of the integral.

Q: Use the guidelines in this section to choose u that should be used in integration by parts for the…

A: For integration by parts, to help choose u we use LIATELogarithmic functionsInverse trigonometric…

Q: [], √1 + x² + y²dS, where S is the helicoid with vector equation = 0 ≤u ≤ 2, 0≤v≤ 2π Evaluate r(u,…

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Q: Find the flux of the vector field F = (y, -z, x) across the part of the plane z = 3 + 2x + y above…

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Q: M8 Σ n=0 Μ n + 2

A: According to guidelines we solve first one .              We have to determine the given series is…

Q: Find the extreme values of f(x,y,z) = x² + 2y² + 3z² subject to the constraint x-y-z = 1. 6 O A.…

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Q: Compute the Wronskian of a set of functions W(x) {y₁, y2} = {e cos (√x), eª sin(√x)}

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Q: B: Find General Solutions for the following Differential Equations (Use Differential Operators) (D²…

A: we have given differential equation

Q: The function g is defined below. x-5x+6 2 x²-49 g(x) = Find all values of x that are NOT in the…

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