Evaluate the indefinite integral by using the substitution u=x*+x to reduce the integral to standard form. [(x²+x²) 6 (4x³ + 2x) dx

Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: y = x ln x sin x

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Q: Solve the given initial value problem. dx dt 7x+y; x(0) = 3 dy dt = - 6x +2y; y(0) = 0 The solution…

A: To solve the given initial value problem.dxdt=7x+y;  x0=3dydt=-6x+2y;  y0=0

Q: Calculate the operational determinant of the given system in order to determine how many arbitrary…

A: Concept: Elimination method: We can now and again combine equations as we do in linear algebra to…

Q: 3 -6 -4 -3 4 Let y = ,V1 = 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁1…

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Q: Q1// prove one only: tan²x-1 tan²x+1 = 1-2cos²x

A: Topic = Trigonometry

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Let C be a nonempty subset of a bounded set D. Why does inf C and sup C exist? Show that (c) inf D ≤…

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Q: %VII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: The objective of the question is determine the "yc".

Q: f(x)= sinx/cos x+1

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Q: 5. Select all that are true. ха хв xaxb = xa+b (xa)b = xab sin² 0 + cos² 0 = 1 √2 2 T √2

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right

Q: By using the differential operator D and it's inverse, solve this equation: y"+3y'-4y=sin(3x) sin…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: topic- average value of function over interval

Q: (x² - 4) dx x² + 2x² + 2x S

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Q: 3)Evaluate the following integral by using Trigonometric Substitutions Method. dx √√9x² +9

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A: Given problem:- Evaluate the integral ∫√(x2+6x) dx

Q: Suppose the cost of an object appreciates at a rate inversely proportional to the sum of its squared…

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Q: For f(t)= 0, cost, 0≤t<π/2 ΙΣπ|2 use the definition to find L{f(t)}

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Q: Determine if the following operation on the two given matrices is defined, and if it is, determine…

A: I am attaching image so that you understand each and every step.

Q: 24. Which of the following lines is not parallel to the other three? a. 7=(3,-5,-3) + s(2,-3,1), s e…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. U = x-yz +y³

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Q: Within y = 4x², x = 0, y = 16; about y axis

A: We know that the curve x=f(y) ,the Y axis and the line y=a and y=b is revolved about the Y axis…

Q: sin x 4-5 sinx+sin2x dx

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Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: List a value of X in quadrant ii that makes csc(x)=2 . Explain how you got your answer.

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Q: Evaluate the integral: LIVE 1 I√9r²+25 dr.

A: We will solve the given question using simple Integration rules.

Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: 33. " +9y sin 2x; y(0) = 1, y' (0) = 0 34. y" + y = cos x; y (0) = 1, y'(0) = -1 35. y" - 2y + 2y =…

A: Given: y(3)-2y''+y'=1+xexAuxilliary equation: m3-2m2+m=0Therefore, m=0,1,1Complimentary…

Q: Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x- axis if x=0, x=?

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Q: The diagram below is a portion of a graph of a differentiable function f(x). In this graph, which of…

A: Given.

Q: News s the followinouation sutisfied Cauchy - Rieman. equation w = Z₁ W 4

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Q: Let the region be bounded by y=1/x, x=1, and the x-axis. Find the volume of the solid generated by…

A: Using application of integration

Q: Find the derivative of fx Fx = sin x/cos x+1

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Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

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Q: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A: A tank contains 160 liters of fluid in which 10 grams of salt is dissolved. Pure  water is then…

Q: 1. The function shown A. is continuous at x = 2 B. has a limit that exists at x = 2 C. is…

A: We want to find solution for the questions.

Q: 3 -6 -4 -3 4 Let y = V1 = 1 5 -1 Compute the distance d from y to the subspace of R4 spanned by v₁…

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Q: . Which three points are on the line L: r = (2,-5)+s(2,1), s € R? a. Q(2,1), 0(6,-3), R(2,-5) b.…

A: Explanation of the answer is as follows

Q: Find the derivative f(x) = 1x1= 2-x -X f'(x) = ? ×20 x <o

A: We have the function, f(x)=x=xx≥0-xx&lt;0 We need to calculate f'(x).

Q: Businesses can buy multiple licenses for a data compression software at a total cost of…

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Q: ²²1559 1≤ y ≤9 Find the length of the curve_x==y 3

A: If if x is a function of y then  the length of the curve is L=∫ab1+dxdy2dy   over the inetrval a≤y≤b…

Q: Graph the parametric equations x(t) = cott ly(t) = sin² t

A: Consider the parametric equations x(t)=cot ty(t)=sin2t

Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

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Q: Problem 6 Use any method to find the inverse of the matrix A below: -2 1-67 A = 4 0 12 12 0 39 Pakis

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Q: Q5) Evaluate the following integral by using Partial Fractions Method = y = S₁ 2x²-3x+2 - (x − 1)².…

A: Use partial fraction to calculate the integral.

Q: Find the general solution to: y(x² +1) + y' = 0, for y > 0.

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