Finding a Derivative In Exercises 31-44, find the derivative of the function. sin x 36. у %3D

Q: Find the point of inflection for the function f(x) = 5x - 14x2- 11x+1 O (-2.2, 37.72) O (2.2,…

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Q: Q27. The value of lim (1+x)5-e5x+sin x² is? e x2

A: The given limit,limx→01+x5-e5x+sinx2x2

Q: Find the gradient of the function: y = (5x ln (x)/ 6) + x/3 at the point with x-coordinate 1. Give…

A: We can solve this problem as follows:

Q: Vx² –25 The antiderivative of dx is x2-25- sec lx+C. A) True B False

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Q: Reduction of order can be used with y = 3x to find a second solution for the DE: xy" + 2xy' + 2y =…

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

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Q: In S-2 dz 2ydy if we let y=z+4, then the new integral becomes Vz+4 -2 y-2 A True B) False

A: Given ∫dzz+4-2

Q: Describe the graph of the equation. r = 18 cos ti + 4 sin tj -k O Itis an ellipse in the x = -1…

A: Let's find.

Q: In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: The function f(x)=12-3sin(x)

Q: xdx can be solved by either algebraic subsitution or integrataion by parts. X-1 A True False

A: We have to state whether the given statement is true or false and its reason is given.

Q: 5xy = 4x²z – 3yz²; yx and yz.

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Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

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Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: If f(x) = x'+ 3x + 4x + 5 and g(x) = 5; find g(f(x)) %3D %3D O 5x? + 15x² + 20x + 25 O 5x² + 15x +…

A: Topic = Functions As per guidelines , At  a time only one question can be answered. please repost…

Q: S sin°x cos³x dx 1 2 1 sin'x +sin°x - sin'"x + C sin'a +sin'x +sin"x +c B 1 sin'

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Q: The owners of a restaurant are interested in analyzing the productivity of their staff. The function…

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Q: €x2 + 5х + C) dx %3D Зх + 5

A: Given: ∫32x2+5x+Cdx=3x+5

Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

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Q: dy Solve the differential equation 14y/r-1 dx 2.x subject to the initial eSy2-8 condition y(2) 1. No…

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Q: Q3 Find y ン ニ月(^)→ t(メッ) tanx 2 y-(1+x)

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Q: csc 2 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. ( A) True…

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Q: Check the continuity of the function f(x). Explain why f(x) is continuous or not. x+1 =,x x2X > 1

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Q: dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C…

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Q: characters. And, DO NOT include dy/dx in your answer. * dy given x = sin (x+ y). dx Determine

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Q: (1) Evaluate the triple integral I zyz dV, R where R = {(z, y, z)| 0 < z < 3, -2 <y< 1, 1< z < 3}.

A: We will use simple Integration rules to solve this triple integral.

Q: csc*n y 7. S dy cot²n y

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Q: Question 1 1 In solving the antiderivative of f(x) = sin(x) + 3cos(x)+3 by miscellaneous…

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Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

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Q: Jse the vectorized Euler method with h = 0.25 to find an approximation for the solution to the given…

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Q: u+ 2v 4] = 1+ vw; w, and vw. w

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Q: Choose the suitable function y1, for the method of reduction of order, to find a second solution y2…

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Q: Sketch the region of integration and change the order of integration for the integral 3 f(x, y) dydx

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Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

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Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

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Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…

Q: II. Multiple Choice: Read and understand the statements, then choose the correct answer. - Write the…

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Q: Solve the following Initial Value Problem: y"+ 16y 0, x)= 2 and y'() = 5. %3D

A: Topic = Differential equation

Q: In x²/25+ x² dx , we let x=5sine. A True

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Q: 9- 4x2 Evaluate: xp-

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Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (/2,0). What is its…

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Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

Q: (a) Given a vector A =-i+ 2j – 2z in Cartesian coordinates, (i) sketch vector A, (ii) find its…

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Q: dy Find given x' +y =8.y. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Topic = Derivative

Q: Given the function g(x) 623 9x2 360z, find the first derivative, g' (x). %3D %3D = (2),6 Notice that…

A: Follow the procedure given below.

Q: Find the saddle point/s of the function f(x, y) = x² + y° + x®y+ 4 O a (4,0) & (-4,0) O b.(E -1) &…

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Q: *) dx Evaluate:

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Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C

Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

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Q: DO NOT include spaces in between characters. And, DO NOT include dy/dx in your answer. Given In…

A: A detailed solution is given below