To evaluate A B [x²cc x²cosx dx use integration by parts. What is the expression after the second integration by parts? x’sinx – 2x cosx+2 2 / COS cosx dx + C x2sinx + 2x cosx-2 -2 f cost cosx dx + C x2sinx – 2x cost–2 2/cost cosx dx + C x2sinx+ 2x cost – 2 2 f si sinx dx + C D

Q: Compute the left and right Riemann sums L4 and R4, respectively for f(x) = √4x² on [-2, 2] and…

A: We can find Left and Right Riemann sums .

Q: Exercises To Solve [No.5] 3dx 9x²6x+5

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Q: 19

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Q: 18. A radioactive substance decays exponentially: The mass at time is m (t) = m (0) ekt, where m(0)…

A: Concept: Mean life of a radioactive substance: The average life of all of the nuclei of a positive…

Q: What value(s) of k in the equation y = ekx will satisfy the equation y + y' = y"?

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Q: Evaluate Stan" (x) sec¹x dx 1 A m+1 I m+3 B 1 -tan (m + 1)(x) +- m-1 1 -tan (m + 3)(x) + m+1 -tan…

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Q: For O x 1/2 -dx and using the substitution=x1/2, the resulting integral takes the form: -du du -du…

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Q: 2 x-x² if x ≤ 2 - Let f(x) = 2x - 1 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: Let fx=2-x-x2 if x≤22x-1 if x>2To calculate the following limits. To enter "DNE" if the limit…

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y²=4x about y=4 is to…

A: Here, the region is bounded by the curves x2=4y⇒x=4y & y2=4x which is rotated around y=4 axis…

Q: To evaluate [x²cosx dx' -2 / COST. 2sinx -2/cosx 2 / COST x2sinx – 2x cost x2sinx+2x cosx − 2 x2sinx…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Set up, but do not evaluate, the integral to find the area of the surface generated when the curve y…

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Q: ormulas to compute the following antiderivative. x-1 x² -dx.

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Q: Evaluate tan" (x) secx dx. 1 A n(m + 1)(x). m+1 1 (В -tan (m + 2)(x) + m+2 1 -tan (m+1)(x). m+1 1…

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Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 5. Find the derivatives (a-b) and the limit (c): (2) ± √( 1 cos (1²) dt) (0) ² (154) dt dx 1 r2+x…

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Q: "+9y' + 18y = 0

A: Topic:- application of derivatives

Q: x-5 y+2_z+6 -2 5 d) is parallel to the y-axis, and passes through (6,-4,5) c) is parallel to *-=X+…

A: To find the vector equation of the line.

Q: Question Find the area of the region that is bounded above by the curve f(x) = (x - 1)² and the line…

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Q: 3. Find a vector equation of the line that.... a) passes through (-3,5,-2) and (7,-3,1) 2+6 c) is…

A: Since you have posted a question with multiple sub-parts, as per the company guidelines we will…

Q: QUESTION 14 To evaluate use integration by parts. What is the expression after the second…

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Q: ³ SS ²0 Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), an

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Q: y dy Vy+2 (√3+2-5) (5√3+2+7+21)+C (√3+2-5) (5√3+2-1+24) +C 3 Ⓒ(√3+2-5) (5√3+2+3y+24)+C…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A wind is blowing giving the projectile the acceleration of 9m/s2 in the positive direction of the…

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Q: 2. Given: polar curves C₁ : r = √√√2- cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√2, ³) and…

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Q: 1-² dx dy dz se ³ 1 xyz 2-fff(x+y+z)dy dx dz TL 3-fff₂y sinz dx dy dz 6 -2

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 19

A: We will solve the problem

Q: Exercises To Solve [No.5] dx OS (x-1) √X²2X-3 dx 3-2x-x²

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Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: e /// 2 Evaluate 2xz dV where E {(x, y, z) |1 ≤ x ≤ 4, r ≤ y ≤ 2r, 0 <z<x+3y}

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Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

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Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

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Q: ·S- sece tane de sece - 1 The integral S S x dx x²+√√√x²-1-1 sino de 1+ cos cose de 1-sino sec²0 de…

A: The objective is to find the correct option.

Q: The integral S x dx x²+√√x²-1-1 can be transformed to which of the following using trigonometric…

A: Please follow the next step.

Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: 6. If f is continuous and f² f(x) dx = 6, evaluate S/² f (2 sin 0) cos de.

A: see below the answer and calculation

Q: 6. Evaluate the following triple integral. SASAS. P 0 p² sino dp de dø.

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Q: Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) =…

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Q: 7. Show that the equation of the plane that has x-intercept a, y-intercept b, and z-intercept c…

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Q: Consider the function f(x) shown in the graph below. (Note that you can click on the graph to get a…

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Q: uppose m and n are constants and m #n. Evaluatesin (mx) cos(nx) dx O -sin(m− n)x+ - _____ m+n…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: Ji 16 sin² x cos² x dx dx B

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Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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Q: Fill in the Blank 1. u is

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Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

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