Evaluate. Assume u > 0 when In u appears. # S (In x) 4 dx X

Q: Given the functions f(x) = x² − x and g(x) = 2x − 3, evaluate and simplify the composition f o g.

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Q: Calculate the integral R f(x,y)dA for f(x, y) = 10-4x²y and R: 0≤x≤ 2, -1 ≤ y ≤ 1.

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Q: Graph the function f(x) = 2x-3. State the domain, range, and horizontal asymptote:

A: Given :- To find  :- Graph the function , The domain, range and horizontal asymptote of the given…

Q: /2 31. [/² esc 1 cott dr 33. f'(1 + r)' dr 32. [csc²0 de -S²² ²+1 ds 34.

A: We have to Determine the value of integral.

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

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Q: Solve the given differential equation by using an appropriate substitution. dy dx -= (x + y + 6)²

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: As per the guidelines, I am providing the solution to the first question.

Q: 1. Determine the derivative of each function. (DO NOT SIMPLIFY) c) y = 2-x² d) f(x) = sinx cos2x

A: To determine the derivative of each of the following function.(c) (d)

Q: 23. √x dx 25. L sin Ꮎ dᎾ J0/6 dx 24. fx-2/36 ·L₁7 dx 26.

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Q: Hi what is the final answer you didn't attach the answer you can see the answer is not shown here

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Q: 7. The vertical displacement of a SUV's body after running over a bump is modeled by the function…

A: To find the maximum displacement of the SUV's body during the first 5 seconds, we need to analyze…

Q: Which of the following gives the volume of the solid of revolution obtained by rotating the region…

A: Note:- According to the company policy we can attempt only one question so please upload the next…

Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: Problem 1. Let R be the region bounded by the curves y = (x - 2)² and y = x. Write integrals which…

A: Note: Due to guidelines, I can solve only the first 3 subparts

Q: Question 2. a -1 ·(9) :)+(C) -(0) b +3 2 с 5 3 a. If 4 Find a, b, c b.If X + 0 = X what can you say…

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Q: Calculate the double integral. J (2y + xy-2) dA, R = {(x, y) | 0 ≤ x ≤ 2,1 ≤ y ≤ 2}

A: We have been asked to calculate the double integral.Region

Q: 7x+3y-4z+8=0, determine: 6. For the plane (a) its z-intercept. (b) one vector equation of the plane.

A: X/a + y/b + z/c = 1 is intercept form of plane

Q: 10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN.…

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Q: First make a substitution and then use Answer: integration by parts to evaluate the integral [2 sit…

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Q: (2) Find the derivative: m(x) = =+ 1/2+ + tanx - e³x

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Q: ii. Consider the following differential equation: d²x dx dt² +5+8x = f(x) where f(x) is the input…

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Q: Find the slope of the line tangent to the curve e at point (0, 0) - sin(x + 5y)

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Q: 5.2(5) PLEASE SHOW YOUR WORK STEP BY STEP!! With the function (shown in the image) Determines the…

A: This is question of calculusHere we have to find differentiation of function .Further calculation is…

Q: First make a substitution and then use integration by parts to evaluate the integral [2 cos Answer:…

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Q: (a+b) The angle between vectors ifa+b=5 a=3 units and units. and a is 90°. Calculate to one decimal…

A: The angle between vectors  and  is 90 degrees.

Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(2, -1, 1), u = (0, -—-. (a) Find the gradient of…

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Q: Exercise 4. Let p: R→ R be a polynomial function, that is, assume that p is given by an expression…

A: A surjective function, also known as an onto function, is a type of function between two sets that…

Q: Find the indefinite integral and check the result by differentiating. 5x (5)dx S₂5x (5)dx=

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 10. R is the…

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Q: please find What is the equation for a sphere that has its center located at the origin (0, 0, 0)…

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Q: State the domain for the function f(x) = log₁(x - 5) + 4: O (5,00) O (-00, 5) O (-00,00) (0,00)

A: We have to state the domain for the function

Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) x-1- b. lim f(x)…

A: As per guidelines, At a time only three sub-parts can be answered.Please repost for other…

Q: a. f(x) = x²-x-2 x+1

A: Given function is,"As per the rules, we are supposed to answer the first question, and the rest…

Q: a. f(x) = F ť² — b. f(x) = = 1 X-1

A: Given that function:  f(x) = 1/x2 - 1 and f(x) = 1/(x-1).Determine the flat asymptote of this given…

Q: Consider f(x)=2- Instruction Find the x- intercept and y- intercept Find the vertical asymptote and…

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Q: Let ā = ( – 5, — 4, 5) and - 4, 5) Find the projection proja b 6 and 7 = (3, 1, 0). =< of b onto a.…

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Q: Which slope field is associated with the differential equation given below? dy dx = 1-y Choose the…

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Q: 2x Find the derivative of Y = e²ª sin¯¹(x) + ln(x) y

A: y=e2xsin-1x + ln(x)Find the derivative of the given function.

Q: Show that y = √√C-2x² is a solution of the differential equation particular solution that passes…

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Q: ←++ -10-9-8-7 (If the limit does not exist, enter Ø.) 10 9 8 7 6 5- 4+ 3+ 2+ 1+ -3+ Y -4- II T ст н…

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Q: Find the derivative of the given function. y = (x2 - 4x + 4) e9x/4 기 = dx

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Q: and Continuity Worksheet o determine whether the function is continuous at the point. x² + 2x - 3…

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Q: 5. Determine if the given function f(x)=x²-1 if x ≥ 1 (x+1 if x < 1 is continuous at x = 2?

A: According to the bartleby guidelines we supposed to do the first one of multiple questions kindly…

Q: Find S10 for the arithmetic sequence 13,15,17,19,21,23,….

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Q: b. Find the domain of the function given by the following formula and sketch them in the xy-plane.…

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Q: For each of the following integrals find an appropriate trigonometric substitution of the form x =…

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

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 8.…

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Q: 5. A certain computer that is purchased today depreciates in value according to the function (t) =…

A: we will solve this given problem:

Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: Using the variation of Parameters method, find the general equation and deferential equation.

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