ssignment : Determine the integral of the ff. functions 1. S- 6 dx 2. S 5 x4 dx 3. S ( 4 x7 + 7 ) dx

Q: x arcsec x dx ? xdx A. x Arcsec x - 25- ... B. ** Arcsec x -- V-1 xdx xdx C. x Arcsec x + 25- xdx D.…

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Q: (y-3)/(x+1) dy =y*dx is a separable differential equation. %3D Select one: O True O False

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Q: D A Find thepolar eavation for the cartesian curve (x²ty) - A)r-4 cos o =4x. Br°=4 cos e c)r?=4cos o…

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Q: x2 sin 2x dx Use integration by parts

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Q: 7.) Find the area inside the graph of r-7 + 3cos(e) and to the left of the y-axis

A: As per bartleby guidelines we only give first  questions answers.

Q: lim - Va +1

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Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: What will you factor out from the integrand of ] csc°(3x)dx so that you can transform it to its…

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Q: Use implicit differentiation to find dydx 4x^2y+9xy^2=6

A: Given that,       4x2y+9xy2=6

Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

Q: all

A: We have to find the following conditions according to the given graph of the function

Q: Find the total area enclosed between y = x and y = x over th- %3D interval [-1,6]. NOTE: Enter the…

A: Here, to find the area enclosed by y=x3 and y=x over the interval [-1,6].

Q: Question * Given csc(0) = -2 and 0 E Quadrant III. Then the values of cot(0) and cos(0) are: cot (8)…

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Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

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Q: x +5 Given the function g (x) find g' (x) x² +6x O 8' (x) = x* +6x³ +5x² +30x x² (x+6)? O 8' (x) 2x3…

A: Given, gx=x2+5x2+6xDifferentiate…

Q: Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x =…

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Q: If you are going to evaluate the x²+16 using trigonometric substitution, the answer is =-csc*Ø + C,…

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Q: Sketch the region whose area is represented by the integral Só Suz dxdy.

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Q: 22 - 12x dx x?(3x² – 10x – 8) partial fraction is to be employed. What is the most appropriate form…

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Q: 9) Local Linear Approximation a) Find the local linear approximation of g(x)= x° at x, = | b) Use…

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Q: Consider the function y = x^3 + 2^2 − 3x a) Sketch the graph of function. b) Find the instantaneous…

A: This question can be solved using the concept of graphs and derivatives.

Q: Given x sin (yz) + y³ cos (xz) + z sin (xy) = v3. Find əx (a) implicit differentiation, (b) by…

A: a) Implicit differentiation: We will treat y as constant.…

Q: x² – 1 lim x→1 /x – 1

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Q: +00 dx Evaluate the improper integral x(In x)²

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Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

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

Q: 5. sin x sin 4x dx c

A: We have to find integration value for the given function

Q: JV-x² + 4x+5 Consider dx. Using trigonometric substitution, what is the integral form in terms of 0?

A: We have to determine  integral form of given question

Q: Please use definite integral in solving for the area. y = |x| – 2 and the x axis

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Q: V14 _13. Given the function f(x,y, z) = e3xyz sin 2xy where x = r² + t² , y = t² +r , z = r+t. Then…

A: Given f(x,y,z)=e3xyz sin2xyx=r2+t2y=t2+rz=r+t

Q: xy + y² dx dy Find the general solution of

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

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Q: Using Integration by parts, consider f x³Vx² + 4 dx = uv – Sv du then find uv – f v du

A: Given

Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

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Q: e* dx ex 11

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

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector valued function is the intersection of the domains of its components.

Q: 3x² +7x+28 f(x) x2 + x+7 A Using partial fraction, evaluate x3 + x2 +7x aX the decomposed fraction…

A: The objective of the question is evaluate the indefinite integral in partial fraction.

Q: Use polar coordinates to evaluate the integral where R is the region that lies in the second…

A: follow the procedure given below.

Q: 4. S ( 12 x³ + 15 x - 20 ) dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the length of the arc of the parabola  x^2 = 4y from x = -2  to x = 2.

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

Q: ナ+sy'+by =4et も

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Q: 10) For y= Vx+8, use the differentialE dy to approximate Ay when x changes from x=1 to x=0.97

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Q: 3(x + 2)\/1 (x+2)² Which of the following is *+2) + arcsin 9 +C equal to? arcsin (z + 2) + (x + 2)v5…

A: Given that,     92arcsinx+22+3x+21-x+2292+C

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

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Q: Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y = x and y = x2.

A: Given problem:- Use Green's theorem to evaluate ∫c (xy + y2 )dx + x²dy  by the curve y = x and y =…

Q: dh _10. A cylindrical piston with fixed radius r = 3 cm is being compressed so that How h =- dt fast…

A: Given

Q: (2x+4) + 1 x² +2x- 10 dx = x² (x² + 4x +5) (2x +4) +1) dx- x² + 4x+5, Consider dx evaluate | x² + 4x…

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: f (x) = x1.5 + 2x. We have Find the tangent line L(x) for f(x) near x = 4 and use the tangent line…

A: Consider a function f that is differentiable at a pointx=a.Recall that the tangent line to the graph…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,      fx=78x-5, -1≤x≤3

Q: Using trigonometric substitution, what is dx ? A sec + C 2x2 Vx² – 9 +C sec-1 6x2 none of the…

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