- sin² ydy 6. 4 tan" y

Q: Match the equation with its graph. x2 y2 z2 + = 1 9 9 16 4 -5

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Q: Apply

A: We will solve the integration.

Q: . Evaluate the double integral , Sf(r,0) dA, and sketch the region R. 5. 2 S, v9– r² dr de

A: Let's find.

Q: What is an equation for the cosine graph shown below? 11 -10 -8/ -6 -5 .4 -3 -2 -1 -135 -90 -45 45…

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Q: Fnd the Indefinite Integral and check your result by differentlation. (Use C for the constant of…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = t3+3°dt f'(x) =…

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Q: 34. Which of the following is solvable directly by power rule of antiderivative? A. [xe"dx B. Ssin*…

A: Which of the following is solvable directly by power rule of antiderivative?

Q: Find r'(t). r(t) = (tan¬(2t))i+t cos(t)j – vtk NOTE: Enter your answer in terms of i, j, and k.…

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Q: 3 to dy 2 +Sinx COSX

A: Given query is to find the solution of the differential equation.

Q: Determine the general solutions of the following differential equations. 1. (2x3 – xy? – 2y + 3)dx –…

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Q: The graph of the function f (2) = 2 arcsin(x – 4) +1, is best pictured by:

A: We will put the x values and get the f(x) values.

Q: 7. Interpretations of Inter a) Determine the position function, s(t), of an object if the…

A: a)

Q: 2. S(e" + e-3)² dt

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Q: Find V x (V x F) if F(x, y, z) = 2:xy j+ 9xyz k. V x (V × F)

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Q: Find the curvature and the radius of curvature at the point t = 0. I = e' cos(t), y = e' sin(t), z =…

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Q: dy tay +x?

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Q: For the curve y = f(x) = x², 0 < x < 2, its length is 2 dy` dx - {(aV17+ In (4 + v17). VI7). L 1+…

A: Apologies for the inconvenience. The correct solution is given below: Given that y=x2 Hence, dydx=2x

Q: Find curl (3z i+ 4x j+ 5y k). curl(3z i+ 4x j + 5y k) = ( i )i + (i )j+( i )k

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Q: chain rule to find given w = x² + 2y² + z² and x = cos (st), y = -2s lnt an 3s2 Vt.

A: We have to find out derivative

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: Use continuity to evaluate the limit. 8 + Vx lim 8 + x

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Q: Determine the resulting vector when a = (6, –4) is rotated 60° clockwise and increased in size by a…

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Q: Consider the exact first order diff. equ: M(x, y) = 2.xy – 3x² N(x, y) = x² – 2y (I): (2xy-3x )dx +…

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Q: Find the average value of the function over the given Interval and all values of x In the Interval…

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Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula k(t) to find k(t). 13 r(t) = 10 cos(7t)i+ 10 sin(7t)j+…

A: Given; r(t)=10cos(7t)i+10sin(10t)j+3tk

Q: this

A: We will evaluate the integral.

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f() = 2x + 3 between x =…

A: Our Aim is to find the "area under curve"of f(x)=2x+3 between x=11 and x=13using the Fundamental…

Q: FiNd the volumes OF the solids gewerated by revolving +he regions bounded by the graphs oF the…

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Q: Find div F and curl F if F(x, y, z) = 17y*z*i – 3x'2ºj – 3ry®k. div F= curl F=

A: Let's find.

Q: Find the series radius and interval of convergence for what values of x does the series converge x"…

A: We need to find radius and interval of convergence.

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

A:

Q: 7. Given that tan (A) = and angle A is in 3rd quadrant and cos(B) = – - and %3D 13 angle B is in 2th…

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Q: Evaluate the definite integral. 12t dt O el2 – 1 (e-) - 1) + 2 – 1 i - (e" - 1) j +k 12 O el2 12 O…

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y2 + x – 4y = 5; y-axis

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Q1) Determine if the following integrals converge or diverge. If the integral converges determine…

A: Please refer to the image below

Q: dx Half-angle Substitution cos x +sin x-1

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Q: 8. Evaluate the double integral ry=2x L3) dydz. x=1

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Q: 2. Sketch the graph of one function g that is continuous on [-4, 4] and has all of the following…

A: Solved below.

Q: 5. Í sin 2e de 6. ſer cosh x dx

A: We have to integrate and have to check the answer

Q: ||r(t) × r"(t)|| ||r(t)||° Use the formula k(t) to find k(t). 13 9ts r(t) = e"i+etj K(t) :

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Q: Find r'(t). r(t) = (tan-'(9t))i+t cos(t)j – Vēk NOTE: Enter your answer in terms of i, j, and k.…

A: We can solve this as follows:

Q: x-1 dx (x+1)5(x-3)5

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Q: 1. 5x²+4x2-5 dx

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Q: Use the chain rule to find and , where as z = x² + xy + y, x = 6s + 9t, y = 5s + 8t %D First the…

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Q: Find div F and curl F if F(c, y, z) = 9e®Y i – 8 cos yj+ 4 sin? z k. div F= 9 y eY + 8 sin(y)+4…

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Q: for the N(0) is it 0k? or can I write it just k?

A: Yes, N0=-12i+12j+0k.

Q: The guen

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Q: X+3 24) Find the integration by using: J: dx 2x3-8X

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Q: Answer the question in FULL details. Show ALL your steps and work in your calculations. Answer in…

A: We need to solve differentiation problem.

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A: