3. Evalnate. the. fallowing.denble.integrals..by.convecking.bo. Can polar.Caa.r.dinates. ... 2 2 I-x2 X+y „Ansg. T(e -1) .R.. ... e dy.dx. **.. 4 -Ju-yz 2 2 2. Anse 4T7/3 X.g.dxdy. - V4-y?

Q: Find the area bounded by y = sin²(x) and y = sin³ (x) from< xS n.

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Q: 2. Fill in the following blanks and graph the following function: y= 2 sin x - 4 a)amplitude, b) ref...

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Q: Determine the coefficient of a in the expansion of (a +)" 10 O 120 O 252 O 210 O 151200

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Q: Find two unit vectors in 2-space that make an angle of 45° with 5i + 4j. NOTE: Enter the exact answe...

A: We have to find two unit vector as given in the question. 

Q: 10 X

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your fina...

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Q: dy If y = sin='(cos x) then dx ||

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated ...

A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

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Q: How-2 Find Zxx if Z =frusv),u = xy,V=2xy Ex PresF とhe anfwer in termo ofXッリZu, Zv

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Q: dy If y = In V4x² + 5x_then dx

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Q: Area of a Plane Region Instruction: Answer the following. Show all your solutions. 6. a. Find the ar...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: How many positive integer solutions (zero is not allowed) to r+y =42?

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Q: 2. Use the graph to answer the following. gof)(-2)

A: find find gof(-2)  from graph

Q: 的+十」 (8-9) = TT

A: To evaluate the given integral.

Q: cos e de V1 – sin 0

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Q: x* + ах — 2bx — 2аb — хз — 2ах* - 2bx? dx х4 + аx3 — 2bx3 - 2аbx?

A: I=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x2+ax-2bx-2ab)dxI=-∫ x3+(2b+2a-1)x2+(2b-a)x+2abx2(x+a)(x-2b)dxPerf...

Q: y = x2, y + 2x =8. ntify the volume generated by revolving amd y = 0, rotated about the y-axis.

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: To find out the volume of the tetrahedron whose vertices are given.  

Q: Examine the benefits and drawbacks of decomposition-based integration.

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Q: 2n + 2 (a) E(-1)"+1. Vn3 + n² + n n=1

A: The given series is: ∑n=1∞(-1)n+12n+2n3+n2+n Now, let  an=(-1)n+1(2n+2)n3+n2+n &amp; bn=nn3=1n32-1=1...

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k² = 0 and ...

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line x=...

Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B) ...

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Q: A Find 32 31¥ and 22f fer the functions tre etan (x+y) 2- 우Cx,y) x ty + cosy +y sinx. %3D

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Q: Find the volume generated by revolving bout the line x = 3 the area bounded by (y – 2)° = -4(x – 4) ...

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

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

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Q: Consider the fünction: f(x) = 5x + 15x² - 5x- 3 %3D Step 1 of 2: Determine the intervals on which th...

A: Concave up if f"(x)&gt;0 Concave down if f"(x)&lt;0

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Assume that w = f(s3 + t?) and f'(x) = ex. Find dw dw and at ds dw at dw

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Q: Activity 1. Solve for what is asked. dy 1 1 1. Find :+= = 8 dx y 2. Find : x²y2 – 2xy = 8 dx 3. Find...

A: Differentiate with respect to x.  According to guidelines we solve only first three parts. 

Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the ...

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

Q: In considering normal and tangential components, the t axis is tangent to the curve at the point tha...

A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion u...

Q: Let a = ci + jand b = 8i + 15j. Find c so that the angle between a and b is. Round your answers to f...

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

A: g(t)=3n2t2-t43n2-t2To Find: Antiderivatve G(t) of the function. i.e. we need to find the integral of...

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Evaluate the function y = - for x = 3 to x = 5 in steps of 0.5. Write the complete x+ code

A: % Matlab Code% defining the range for xx = 3:0.5:5;y = (x) ./ (x+(1./x.^2))

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x² – ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: we need to find the vectors that satisfy the given stated conditions.

Q: Activity 2: Determine the absolute extrema of the function f(x) = x - 12x on [0, 4]. %3D Show comple...

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Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: 4. lim sin x X- 2

A: limx→π2sinx

Q: Haw Findd 32f 32年 and 32f |- Pcxxy) =tan'cx+y) woyg ズ mo は 2- fCx,y) xty + cosy +y Sinx. %3D

A: To find out the partial derivatives.  

Q: Solve for the derivative of the following and simplify if possible. h(t) = t3 - t2 sin t

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Q: Evaluate *(x-2) dx (x-1)3

A: We can find the required answer in the following steps

Q: Find the area bounded by y = sin²(x) and y = sin³(x) from < i< .

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Q: S tan bxsec³bxdx

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Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

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Q: 3x 3. lim х-0 sinx

A: