12 TT CoS + i sin + i sin 6.

Q: |(3nt?t? – t*) (3n² – t') dx - --

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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x<.

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Q: Astivity 3 tind the detNe of 2メー3 うメース ensing the definitiom -

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Q: x* + 3 dx x2 3 +C 2 с. d. - 4) dx 3x3 +C

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Q: Evaluate the following limits. 1. lim (1+ Vw)(2 – w² + 3w*)

A: According to our company rules we can answer only the first question and rest can be reposted.

Q: Evaluate f 1+cos 4x dx 1-cos 4x

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Q: Identify which below is a separable Ordinary Differential Equation 2xy a. y': х(у — 1) — у dy _x+ y ...

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Q: | In|Vi + 1| dx

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Q: (1+ сot x)dx Evaluate: sin?r/9- cor?x cotx A -- sin 9— cotx + С 3 3 cotx + V9- cot?x + C В - sin (c)...

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Q: Write an equation to represent the following statement. 33 is 15 less than k Solve for k.

A: solve for the value of k

Q: x²dx Evaluate | x²Vx2-4

A: We can evaluate the answer as below.

Q: 2x + y -4 44. -2y + 4z 0. 3x - 2z = -11

A: 44. Solution :2x+y=-4   .... 1-2y+4z=0 .... 23x-2z=-11   .... 3equation 2 1+24x+2y-2y+4z=-84x+4z=-8x...

Q: Find an equation of the plane tangent to the graph of g(r, y) = 3ev²-z² at the point where (x, y) = ...

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Q: dy then dx sin x If y = 1+ cos x ||

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Q: Find all critical values for the function f(x) = 10x – 30x + 5, and then list them (separated by com...

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Q: 2 cos @ dӨ . 1- sin 0

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Q: 2. Four friends purchase a pecan pie and a cherry pie to share. Each pie is $12. The 4 friends want ...

A:

Q: Consider 5 28 +2 x2 +2 sin(x)–2 -28+5x+5 f(x) = Find the behaviour of f(x) as x → 0. • If lim f(x) e...

A: Here, f(x)=5x8+2x2+2sin(x)-2-x8+5x+5

Q: 2 2 cos 0 d0 V1 – sin 0

A: Given:        ∫0π2cosθ1-sinθdθ substitute u=1-sinθ→dudθ=-cosθ→dθ=-1cosθdθ      =∫10-1udu       =-∫01...

Q: 15. A tank contains 750 L of pure water. Brine that contains .12 kg of salt per liter of water enter...

A:

Q: Find the antiderivative, G(t), of the function g(t) = (3n?t? – t4)V3n² – t².

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Q: х? + ах — 2bx — 2ab — х3 —2ax* — 2bx? dx х4 + ах3 — 2bx3 — 2abx? |

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Q: Visually estimate the location of the centroid of the region shown. Then find the exact coordinates ...

A: Let's find. 

Q: 3 dx V9 – x2

A: We know that, ∫dxa2-x2=sin-1xa+C   ∫03dx9-x2=∫03dx32-x2                    =sin-1x3+C Now applying t...

Q: please

A: We have to calculate the given integration 

Q: Let a = ci +jand b = 4i + 3j. Find c so that the angle between a and b is Round your answers to four...

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Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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Q: d. When should the population be 999,999? Use the function from b. Write your answer ih a complete s...

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4,6, 1). NOTE: Enter the exac...

A: Area of triangle is half of cross product of adjecent side of traingle.

Q: Find the length of the arc of the curve 9y2 = 4x3 from the origin to the point (3,2v3).

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Q: Find the area bounded by y = sin(x) and y = sin*(x) from 0 < x <.

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Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: A conical tank of water, 10 ft high with radius of 6 ft, is leaking at the bottom at the rate of 10 ...

A: Given:-for conical tank height,  h0=10 ftradius,  r0=6 ftwater is leaking at the rate of 10 cubic fe...

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of ...

A: Standard form of an ellipse

Q: 19. A triangular plate with height 5 m and a base of 7 m is submerged vertically in water (whose den...

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Q: /2 Evaluate using Wallis' Formula: sin5 x cos6 x dx

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Q: The manager of a large apartment complex knows from experience that 90 units will be occupied if the...

A: Explanation of the answer is as follows

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after th...

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Q: Find the arc length function for the curve y = sin+(x) + V1- x² with starting point (0, 1). s(x) =

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Q: (:)? /3 9. Which of the following is equal to (b) (–1)"-12·5., 3"n! 3.5-7..... (2n + 1) (Зп — 4) ......

A:

Q: 3. Suppose that a function f has the following Maclaurin series: (-1)n+1 -(x – 3)" 3"n n=1 Find the ...

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Q: (x + y)dx dy 1 3. 2)

A: Solve the integral. 

Q: dy for 2xy = dr 4 cos(x) – y?." as Problem 18: A student answers a homework question "Find follows. ...

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Q: The base of a solid is the region in the first quadrant bounded by the graph of y = sin xand the x-a...

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Q: dy given that y = dr -3 sec-1 (VI) (4*)(log2 r)sech z ° Using logarithmic differentiation, find

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Q: V- 2 dx +1)

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Q: 5. S Vx³ In(Vx) dx

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Q: Vx- 2 dx E+ 1)

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Q: Give 2 examples of Continuity and Discontinuity. Show your complete solution using the three conditi...

A: Note that the given function f(x) is said to be continuous at "x=a" if: limx→af(x)=f(a)

Q: S 10x+11 dx 4x²-4x+5

A: We will evaluate the given integral in the following steps.