dx Complete the square Evaluate V-x² – &r – 7 .2

Q: M(x,y,z) d.

A: The solution follows as:

Q: dx Hint: Remember "completing the square"? V4x – x2 |

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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Q: Corumplete tre squere find Hl10) and j x 76x +13

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A: Given that: (D2-D-2)y=30

Q: ) Sx³sinx dx .3

A:

Q: v(t) = 3t8 – V2 t5 %3D Find v' (-1)

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Q: (c) Write (V3+ i)" in the form of x+ iy.

A: Here I have applied De Moivre's Theorem. See the solution.

Q: h.w: find Df, R1 y = Vx2 -6x + 8 %3D

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Q: C M 3x 45° A 4 in. BL 2t in. K AABC = AKLM Find the value of x and t. X = t =

A: Given that both triangles are congruent.  If two triangles are said to be congruent triangles then…

Q: d?y Find dx2 x = t° - 7, y =t - t?

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Q: (x-C,)' + y² = C;?

A: (b) In this question, we have to find the differential equation for the family of curves.…

Q: G 76 H 7x 5x 8y I y = %3D

A: Som of opposite angle of quadrilateral is supplementary

Q: (ii) Find P 0<Y =D1 %3D

A:

Q: 2.) f(t)= 8t' + 3t² – e²Sin7t %3D

A: Given: ft=8t3+3t2-e2 sin7t To Find: Laplace transform

Q: K M N х+3 7, 4x – 9 R 12

A: Topic-Geometry

Q: (b) g(t) = Vi + VI+t-4 (0,00) %3D

A: Please see the answer in Step 2

Q: f(x, у) %3D 9х — 2у + 8

A:

Q: Salve, U+ + sux+buy=0 in R² [0,00) 4(x₂4₂0) = x+4 Subject to;

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Q: D Find the Constant c that makes f Continyous for a. reql nymbers f6)= %3D

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Q: x2 dx = 64. 3-7 39- Find the value of b such that

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Q: v²g » r = lF| Cya g(r) = In(r5) sř = xi + yj + zk p = yz + zx?, p = x³y?z

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Q: 2r² + 3sr - 2r t6s)s t s(st 2r -1) dr = 0 %3D

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Q: f(t)=2t/ 2+sqrroot(t) f'(t) = ?

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Q: Calculate the value of D in detail D3 – 2D2 + D - 2 0

A:

Q: Q2. (a) Find the overlapping area of two equations also give its geometrical representation:u?+ v² =…

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Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Q: 4x*y² Given that 2*x*y°, find the value of a, b and of c. %3D

A:

Q: In the diagram below AB and CD are straight ines E x+8 Zx - 8 M y 4x - 24

A: Given figure is: AB and CD are straight lines.

Q: lectronics company's profit in dollars from making x| pany currently produces 290 DVD players and…

A: Introduction: On an open set S, let z=f(x,y) be continuous. Changes in x and y are represented by dx…

Q: も 2t p e Prave.that daw

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Q: m(z + 3i) = 6

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Q: 6. f(t) = e-5t(5 + t³) %3D

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Q: Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

A: By using formula of area of triangle and basic geometry. Area of right angle triangle = 1/2(B×H)

Q: he total revenue in rupees received from the sale of x units of a product is give y R(x)=13x²+26x+15…

A:

Q: b. 4*(x³)dx -1

A: To evaluate the given definite integral using trapezoidal rule.

Q: Q2: find the distance from A to B, where A (-1, -2) and B (-3, 2)?

A: distance between A(x1,x2) and B(y1,y2) is given as (x1-y1)2 + (x2-y2)2

Q: Find EF in the trapezoid. A x+8 5x 10 EF = %3D

A: In this question we have to find middle segment EF.

Q: Q2/ Evaluate L(x² – 2yx)dxdy using two point in x - axis and three point in y- axis.

A: To Solve the double Integration method.

Q: The cost C (in dollars) of placing a color advertisement in a newspaper can be modeled by C=7n+20…

A: Given that: C=7n+20

Q: RS is a midsegment of AXYZ. Y 16 6. R 11 Z

A: the given figure, we have to find the perimeter of ∆XYZ

Q: y = 7x2,    y2 =  1/7x Find the area

A: To find the area bounded by the curves y = 7x2,    y2 =  17x

Q: Find EF in the trapezoid. x+3 A 3x E F 32 C. B EF =

A:

Q: Find the d?y/dx2 of the function y=(5x² – 3)(7x³ + x)

A: Given: y=5x2-37x3+x To find: d2ydx2

Q: Find the perimeter of AGHI. H 7x + 4 13x - 8 J K M 15 G 52

A: Since the three sides are tangent to the circle. therefore JH=HK LI=KI JG=GL Perimeter of the…

Q: V t2 + 9 t? + 9

A: Given,             t2t2+9-t2+9t2

Q: 3a) Which method? X = 2 about the y-axis.

A: Given that region is bounded by curves, x=y2 and x=y2. This region is rotated about the y-axis.

Q: nd P(Z<c) = 0.8, then the value of c is %3D

A: Given that, Z is standard normal variate  hence mean=0  and standard deviation=1 P(z&lt;c)=0.8

Q: Calculate the value of D in detail D3 – 2D2 + D – 2 = 0

A: The given equation is D3-2D2+D-2=0 One root of D is D=2  Use synthetic division  1    -2    1   -2…