Find the total area under the curve f(x) = 2xer² from a 2xe from x = 0 and a

Q: Solve the given function using chain rule of differentiation. Show your full solution.

A: On solving this we will get

Q: 3x³ -x-5 y = 2x² + 4x-1

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Q: 12. S e 3In(2x-1) 2x - 1 - dx

A: The given integral is: I=∫e3ln2x-12x-1dx   As we know the Power Rule: ∫ax+bndx=ax+bn+1an+1+C

Q: Question 5 fx²√3x dx is equal to 0 -27 (3 - a) 3 - -5 7 (3— æ) +15√(3-x) - + 2 2 -5 0 æ) −3 (3 – a)…

A: To find out the integration.

Q: Find 36 zdV, where E is the solid tetrahedron with vertices (0,0,0), (3,0,0), (0,6,0), and (0,0,2) E

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Q: POT Q3.If f(x,y) = sin'(x-3y) +sin xind: of af and ду

A: Given:     fx,y=sin2x-3y+sin-1xy Taking partial derivative with respect to x.…

Q: Where does the line through (-3, 1, 0) and (−1, 3, 8) intersect the plane 2x + y − z = -2? (x, y, z)…

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Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…

A: Just use the substitution and find the required integral. Option (B) is correct.

Q: 11. J√e²-1dx

A: We have to evaluate the integral.

Q: 2x²+x+1 S (x− 1)(x + 1)(x − 2) dx = ₁ 11 (A) 3 (B) None 11 C 3 (D) -SA+ 1 3 E -2 B + x+1 x-2 Q dx,…

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Q: 1. 2. 3. Principal Nominal $10,525 $11,500 $25,550 Interest Rate Compounding Frequency 0.00 %…

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

Q: 4. f In (2x + 1) dx =

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Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

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Q: 9. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height (in meters)…

A: We need to find velocity.

Q: Change the order of integration of the iterated double integral: -8 r2 To for Y dx dy. 1/3 x7 +1…

A: Let's change the order of given integration.

Q: QUESTION 7 Which of the following is or is not an improper integral? Clearly explain your choice. A.…

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Q: A payment of $25,000 is due today. What three equal payments, one in 2 years, one in 4 years, and…

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

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Q: Evaluate: (7-j3)ln(cosh(2+j5))

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Q: The difference equation given by A(yt - Yt-1) can be written as

A: Given

Q: 25

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Q: Use the table to the right to find the given derivative. d xxx) 1x=5 (Simplify your answer.) |x=5 X…

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Q: Given that dx [2²: = missing steps = [ √x + 2 Re-write the integral will all the missing steps. du =…

A: Rewrite the integral with all missing steps

Q: find the values of λ for which the determinant is zero. 2 λ + 1 0 0 1 O(-1, 1, 1) O(-1, 1, 0) O(-1,…

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Q: [³ sin√xcos√x √x 0 A) None Зл B 256 Зл C 512 3 D 256 3 E 512 - dx is equal to

A: Given, ∫0π24sinxcosxxdx

Q: (D² + 4)y = 4 cot 2x

A:

Q: For x 1/2 -dx and using the substitution u=x 1/2, the resulting integral takes the form: x-x 4u -du…

A: We can rewrite the given integral by using this substitution u = x1/2

Q: (cos-¹2w) 6. ¡ COS dw √1-4w²

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Q: F. Change the Cartesian integral to polar coordinate dy dx 171-1 حول من كان الى بولير ار

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Q: By method of Integration by Partial Fractions, A + C (1³+ 5x²+6) dx = √2-24 +5 + 8(2x=22)52]dx…

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Q: əx ду Əw aw x+y)+x²³ sec show that x +yay əx Ex: If w = y³ tan-¹ x²-y², x4-2xy³ Lemma: If w = f(g(x,…

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Q: The volume of a cube can be represented using the function V(s) = s³ Which formula of the sphere is…

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Q: π Find the area bounded by the trigonometric curves y = sinx and y=cosx" from X=- 3.459 square units…

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Q: S [= sinºxcos³xdx is equal to 16″ 105 2 63 2π 63 Evaluate: A B C D E 16 105 None

A: SOLUTION-

Q: (D³ - 2D + 4)y=0; y = -2, Dy = 8, D²y = 0, when x = 0.

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Q: dx 1+x-2

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Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

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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: 2. Find the MacLaurin polynomial of degree 7 for the function F(x) So sin (6t²) dt.

A: SOLUTION-

Q: Evaluation. 1. f5x³-³ dx √x3 Determine the antiderivative for each. Show complete solution. 2.…

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Q: Q2/ Find the value of the integration by Simpson's method when 3 = n, then compare the result with…

A: We have  slove above integration

Q: Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1…

A: Partial fraction decomposition

Q: Question Define R as the region bounded by the functions f(x) = ez and g(x) = 1 between x = 0 and x…

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Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: b If ff" (x+5) dx = 14, then the value of b is equal to (A -3 B 4 C 2 D 3 E None

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Q: D. Calculate volume enclosed by (z = 8-x² - y²) and (z = x² + y²), (Use order dy dz dx). وكنت طول

A: Given

Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: Initial Knowledge Check Write the domain and range of fusing interval notation. 3 4 (a) domain =…

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Q: (e) x = = 2y², x = 4 + y² - (f) x = 1 — y², x = y² – 1 32 Answers (a), (b), (c) In 2-1, (d), (e)…

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