Complete the evaluation of V4 x make sure to express your answer in dx in Example 2; terms of x.

Q: Evaluate the followin dx X dx%3D X- 3 (Type an exact answer.)

A: Integrate as general

Q: By using completing the square / dx can be written a V4 + 2x + x² dx 3 + (r+2)? dr 5+ (r+1)² dx V3 +…

A: Given that: ∫x4+2x+x2dx

Q: You need not expand your answer. dx Calculate y = (x + 4)(x2 – 4) Ap dx

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Q: 2.x? Evaluate dx using substitution technique. 2x' +5

A: Since Mulitple questions are asked, Hence doing only first question.

Q: (a) | T(2x – x²) dx

A: Explanation of the answer is as follows

Q: 1. Se²-3× dx 2. dx

A: To evaluate the given integrals.

Q: 1 By using completing the square , dx can be rewritten as /x²-4x – 7 1 VTr- 2)²– 3 1 =dx V(r- 2)? +3…

A: We need to write the following integral by completing the square   ∫1x2-4x-7dx

Q: dx b) V2+ V3x² +1

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: of e dydx

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Q: Separate the variables and evaluate the DE: cosx/dx + 1/ydy = 0

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Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: Evaluate dx V4x – x²

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Q: Find the values of a that make: a (x – 2)dx = 6 %3D

A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: Find if-10x – 6y = -6. dx2 Provide your answer below: %3D dx

A: We Have to find second order derivative

Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

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Q: dy Find for the following: dx a) у- 1 + 2x3- x b) y = x° /x+ 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :  1 .…

Q: The sides of the rectangle below change according to = 1, = 34. What is dx/dt at the instant when x…

A: Given that the side of rectangle changes below, dzdt=1 dxdt=3dydt⇒dydt=13dxdt…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: We have to determine the given statement is true or false and if it is false we have to explain with…

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: Show that y dx = y dx + y dx it must be (a < h< b )if f(x): 2x2 %3| = 3 and b = 10 x-1,ª = 1,h

A: We can solve definite integral by following formula,…

Q: Find​ dy/dx by differentiating implicitly. When​ applicable, express the result in terms of x and y.…

A: Given : 5x+7y=3

Q: d²y dx² - y = = x - x - 1

A:

Q: 1. f 2²x²+1 dx

A: In this question, we want to evaluate the given integral.

Q: After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2…

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Q: Find the value of b so that (2x – 1)dx = 10 - 1 3 O 2

A: We have to find out b

Q: Do you think the S f(x)dx is positive, negative, or zero? Explain.

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Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: What are all values ofk for which x'dx = 0?

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: easy explanation of dx/dp of x= 10p * ((50-p)/p)^1/2

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Q: determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TT

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Q: Evaluate , Sd-2, r2(1-z) dy dx dz

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Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: ution to dx = 1+t-x- dt 2 +C +C) /2-C

A: We have to choose the correct answer from the given options according to the given information

Q: What is the value of Idx? (x-x2)Z x3+1 Evaluate dx ? x2-4 f dx

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Q: evaluate using the suggested method.

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Q: Evaluate: J Vx – 4x² dx 2

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Q: Evaluate e (r- 2|) dx if it exists. If it does not exist, explain why.

A: To evaluate: ∫-12x-2|x|dx

Q: Match the options below: (2ху-Зу) dx+(x^2-х)dy-0

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Q: Which of the following is the actual du when integrating / dx? ¿xpt 2x dx a. 2x-4 b. x²dx c(2x 3 –…

A: Given: The integration ∫x22x3-4dx, To determine: The actual du when integrating the given…

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

A: Given, ∫04xx2-1dx=12ln(15)

Q: Let ƒ(x) = x2 - 4x - 5, x&gt; 2. Find the value of dƒ -1/dx at thepoint x = 0 = ƒ(5).

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Q: 4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

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Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

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Q: luate:J(2x}-1)({3× }-1)dx }denotes. the fractional part.

A: We are asked to evaluate the integral.