Given 0 t² | s² solve for 20 at

Q: 7. 1 x lnx dx 8. f(x + 1)(2x - 1) dx

A: 7.∫1x lnxdx = ∫1 lnx. 1xdxLet, lnx= y ⇒1xdx = dySubstitute the corresponding values in the…

Q: Determine the area of region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

Q: Given cost and price (demand) functions and C(q) = 115q + 31000 and p(q) = -2.3q +800, what price…

A: Marginal Profit=Marginal Revenue-Marginal Cost

Q: 1. Prove the linearity principle (the homogeneous case). That is, if yn (t) is a solution of the…

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Q: Which statement is TRUE about trigonometric functions? O a. The derivative of sin x, cos x and tan x…

A: The answer with explanation is given below:

Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: F. Change the Cartesian integral to polar coordinate dy dx بولیز 11-2 حول من كان الا ال 0

A: Let's change given Cartesian  integral to polar coordinates.

Q: 7 dx x4 - 16

A: Given: I=∫7x4-16dx   As we know the common integral. ∫1ax+bdx=1alnax+b+C And ∫11+x2dx=tan-1x+C

Q: which is TR

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

Q: Determine the absolute extreme values of the function f(x) = sinx - cosx + 6 on the interval 0 ≤ x ≤…

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Q: dt ·S₂ (²+1)' 17.

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given po…

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Q: Find the absolute maximum and minimum values of the function f(x) = cos²x-3sinx on the interval…

A: Given function, f(x)=cos2(x)-3sin(x) We know that, Suppose that x=c is a critical point of fx then,…

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: Find the critical numbers of the function 2x5 – 5x¹ – 10x³ – 4 and classify them using a = f(x)…

A: We need to find critical numbers and classify them.

Q: dx (5-4x-x²) 18. 8. f

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Q: For the following exercises, use the second derivative test to identify any critical points and…

A: First find the first partial derivatives and equate it to zero and find values of x and y. Then find…

Q: f(x) = 4x³ - 12x² + 36x 12. What is the value of the 2nd derivative of the

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Q: What is the second derivative of the function y = -7 sin x cos x where x is ? Round your answer to…

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Q: By Maclaurin series expansion, show that the sum of the geometric series may be written as a power…

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Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: 13. (2x³ +9x) dx ²+3)(x² − 2x+3)

A: Given

Q: Directions: Use the diagram as a reference to answer the question below. x-axis h y-axis If arccos =…

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Q: Determine the maximum, minimum or inflection point of 6x f(x) = +3 max (1,4), min (0,0), inflection…

A: Let's find minimum,maximum and inflection point of given function.

Q: A normal line is a line that is perpendicular to the tangent line which touches a curve at one poin…

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Q: 3

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Q: 149. Determine the real number a such that vectors a = 2i +3j and b = 9i+aj are orthogonal.

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Q: A payment of $2,300 is due in 2 years and $3,700 is due in 4 years. These two original payments are…

A: To find:The payment required 3 years for the rescheduled option.First we have to take effective…

Q: f(x)=(6x¹-2x+1)

A:

Q: 1. Find given x = 0 - sin 0 dy dx' y = 1- cos 0 1. Find dy given x = et-cos t y = et - sint 3. Find…

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Q: 16. dx x√√16+x²

A: To find out the integration.

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: Determine the constants c and d in the equation of the curve y = ax + b³ + ca+d having a critical…

A: The objective of the question is determine the value of c,d on the given curve.

Q: Given cost and price (demand) functions C(q) = 110q+40,700 and p(q) = 2q +870, what is the marginal…

A: Here we have to find the marginal revenue.

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: x² +11x+30 4x+20 For items 37-38: Given the function f(x) = [Select] 37. What is f' (6)? [Select]…

A: Given  f(x) = x2 +11x+304x +20    ------(1)

Q: Suppose that f is a function given by f(x) = 2x + 7. Which is TRUE about the function? ET O None of…

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Q: Plot the point with the given polar coordinates. Choose the graph below that represents the point O…

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Q: 1. Solid S is bounded by the ff. surfaces. Sketch S and label its boundaries. y = √√√√x² + z², y =…

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Q: 2. 12, 3. 7, 20, 47, 94, 167, 4.1, 4, 2, 8, 6, 24, 22, 5. 11, 23, 48, 99, 6. 6, 13, 27, 55, 111,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If f(x) = 5x (sin x + cos x), what is f'(x)? ○ 5 (sin(x) + cos(x)) + 5x (cos(x) = sin(x)) O No…

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Q: Consider the function ƒ(x) = 2x³ + 9x² − 60x+8, − 5 ≤ x ≤ 3. This function has an absolute minimum…

A: This question is based on application of derivative.

Q: bacteria culture starts with 200 bacteria and triples in size every half hour. After 2 hours, how…

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

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Q: A plane contains the point A(-1,2,5) and has direction vectors (2,-1,3) and (-3,1,5). Which of the…

A: Given:   Point : ( -1 , 2 , 5 ) Vectors : ( 2 , -1 , 3 ) and ( -3 , 1 , 5 )

Q: (4x-2)dx x³-X² - 2x

A: We have to evaluate ∫4x-2 dxx3-x2-2x.

Q: SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and…

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Q: 1. Find the inverse of 3x + 1 = 4. x-1 (1) y = x (2) x = y-1 10 (3) x = 3y + 1 (4) y = x+1

A: Given :3x+1=ythenf(x)=y=3x+1

Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Half life and decay