2) Find the coordinates of the centroid of the given 2D figure: 2 0 2 4 6 LO MA 8 10 The top curve is y = √√x and it is bound from x = 0 to x = 9. 75 Calculus

Q: Find y′′, if y=x√1+x2.

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Q: 4x Compute (2x + 4yz) dz dæ dy 1

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Q: The real part of cot(1 + j2) is.

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Q: if was T!R R? Linearidentifir grandfather OkerT ImiT

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Q: Evaluate cosh(72) dz, C the line along the imaginary axis from to 2i. cosh(72) dz

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Q: 18. The drawing on the right shows a tangent drawn to a circle at the point P(x; y). Write down the…

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Q: 2. Demonstrate the following relationship involving the dot product and cross product (a) u. (v xw)…

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Q: Find the length of the graph of  6xy=y4+3 from y=4 to y=5

A: To Find: Length of the graph of6xy=y4+3 from y=4 to y=5 Concept: Length of the…

Q: // a?dA where R {(x, y) | 16z² + 36y² < 576} Find

A: first we find limits of integration, than

Q: b) Evaluate the value of I = S(e³y – 3x)dx + (6xey + y)dy, where C' is the parabola - C (0, 0) to…

A: One has to solve it by Green's Theorem.

Q: nclosed by x = y, x = 2 - y and the x-axis?

A: And: 5/6

Q: C is the circumcenter of APQR. PC=3x+7, RC=5x-15, & QC=51-x R P PC=[? ] Q

A: C is the circumcenter of ∆PQR. PC=3x+7, RC=5x-15, &amp; QC=51-x

Q: Evaluate f C F = (x² +

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Q: 4. Explain why (* + ÿ) + (ž + t) equals MQ in the following diagram.

A: answer is in next step

Q: 33. Find the directrix. (y- 9)2 - 8 O y = -9 O y = -7 O x = -7 | x = -9

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Q: Draw the bifurcation diagram for à = (x + 1)(x² – 2.x +r).

A: We are given : Now, the bifurcation diagram for this is :

Q: find the zero and its order for the FAO function fl2)=1- 1i+ 2+ e? .

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Q: Y = 3.065 x + (-35.96)=0.6451x + 46.92 an/Fear medial ing au of a t from asur oxim bial hat se toc…

A: Y= 3.065x + (-35.96) = 0.6451x + 46.92 We have to find value of f(x)

Q: Given y2 - 2xy = 1 a) Find y' b) Find y" and make sure your answer y" is in terms of x and y only.

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Q: V=R Prooflthat Nisavectors sPoe

A: Given that V = ℝ+ Operations + and · defined as, x + y = xy rx = xr, where x,y ∈V; r ∈F To prove: V…

Q: Find fg, fyand f; if f(x,y,z) = x - Vy² + z²

A: Given:     To determine: Partial  derivative  fx, fy, fz

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: 1. If 4 = xy i+yzj+zxk, find curl4 and curl curl A at points (1,2, –3).

A: Given that A = xy i + yzj + zxk and find curlA and curlcurlA at point (1,2,-3). Here i attached…

Q: Given the points A(3,5) and B( – 3, – 7), find d. the scalar equation of the line.

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Q: x.y = Find the dot product of X 0 []. 0 3 [] -2 -3 and y=-2

A: The given vectors, and .The aim is to find the dot product .

Q: (b) Let w = 1+ j. Determine w giving your answer in rectangular form.

A: