What is the axis of symmetry for h(x) = 2x² – 4x +1 ? OA. X = O B. X = -2 OC.x=- 1 4 O D.X = 1

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A: We have to factor 54-3x-x^254-3x-x^2=(6-x)(9+x)

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Q: Consider the two quadrature rules 0 Which one is better? Þƒ (¹) +cf (1), 2 3 + ߃ ( ¹² ) + yf าร์ (…

A: The function f(x) is integrated from 0 to 1.

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Q: Given that APQR is similar to AXYZ, XY corresponds to A XZ С PR R- B PQ O QR X

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Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

A: Given function is: f(x,y)=xey22+118x2y3 Derivative of function with respect to 'x'…

Q: (),-- dz For z = -5x* – 3y and a point PER², you have = -4. dz Determine the value of

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Q: solid whose base is the circle x + y? = 9 and whose cross-sections perpendicular to the x-axis are…

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Q: What is the degree of the DE A B 4th degree D 3rd degree C no degree с 5th degree ay 3-)²-(2²) əx²…

A: Solution

Q: For y = x° - 2x + 8, find dy, given x= 4 and Ax = - 0.2. 3 dy = (Simplify your answer.) %3D

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Q: x+ 3 b. J, x2-3x- 10

A: Trapezoidal rule: ∫abf(x)dx =(h/2)[f(x0)+2f(x1)+2f(x2)+2f(x3)+.....+2f(xn-1)+f(xn)] where h=step…

Q: Given Hhe funchion 6x+2 x<O 6x+4 XZ O Calcolate the fallouing Values (-1)= (0)- (2)

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Q: B. Determine the isogonal trajectories of the circles x? + y? = c if the angles of intersection are…

A: Determine the curves which intersect the origin-centered circles at an angle of  45 ∘ .  The…

Q: ay is 8. If y = arccot then dz a. 4 b. 64 C. -4 d. -64 16 +x 16 + x? 16 +x .2 16 + x?

A: topic - derivative of a function

Q: Find dy for the given values of x and Ax, y%3D5X²-6x, x= -2 and Ax =0.1 dy =D (Round to the nearest…

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Q: Describe verbally how to solve y=mx+c? What assumptions have you made about the valuje of x

A: To describe verbally how to solve y=mx+c.

Q: For x=e2 y= In 2t, find the value of k so that ky'=1 at x=e

A: Given: x=e2ty=ln 2t

Q: To which coordinate axes are the following cylinders in ℝ3 parallel: x2 + 2y2 = 8, z2 + 2y2 = 8, and…

A: The cylinders x2+2y2=8, z2+2y2=8 , and x2+2z2=8. We have to find to which coordinate axes are the…

Q: Q3/ Find length of the cardioid r-a@3from 0 = 0 to 0 = n %3D

A: The equation of the cardioid is r=aθ3. The length of the cardioid is given by the formula,…

Q: Find EF in the trapezoid. A 4 D E 2x+6 5x+4 EF = %3D

A: Find EF in the trapezoid.

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

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Q: ,3 e s-axis is s = -t° + 12t- 45t m. elocity is zero. |

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Q: Find the length of DF * 1 point F G 4 ст E 3D B,--- C 9 ст A 4 ст 9.8 cm 10.6 cm 5.7 cm Other: ООО О

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Q: The temperature inside a room is given by T(x, y) = x4 + y4 – 4xy+4. Find and prove the location(s)…

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Q: y with i W1 merically

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Q: У(2x? — ху + у?)dх — x? (2х — у)dy %3D0;B у(1) - H IN

A: Use homogeneous equation

Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

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Q: Use the Midpoint Rule with m = n 2 to estimate the value for 5 x + 3ydA on the rectangle R = (0, 8]…

A: Given fx,y=5x+3y

Q: Given that z=5cos (3x+ 3ct) +e**d, Which ONE of the following statements is TRUE? OA d2z dx2 d12 OB.…

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Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of rvzis (a) 6 (b) 8…

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Q: For x=e y=In 2t, find y ' when x=e. x=e• 4e 4e

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Q: Given that z=5cos ( 3x + 3ct) + e*+d. Which ONE of the following statements is TRUE? %3D OA. d2z dx2…

A: Here is the solution.

Q: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

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Q: The distance, d, from (x, y) to the origin is d =______ . If (x, y) lies on the graph of y = x3, we…

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Q: E(x,y) = 3x²+2= -6x+ &y+I6

A: Finding the critical points of the given function

Q: Given that (r²- (x² – 4)? y = x>2 show that Ax² + 12 dy x>2 dr x*(r² - 4)? where A is a a constant…

A: From property of derivatives,

Q: Q16: Consider the D.E. (x – 1)³x²y" – 2(x – 1)xy' – 3y = 0. Is xo = 0 an ordinary point? Explain…

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Q: If f,(x? + k) dx = 16, what is k? %3D А.- 12 В.-4 С.0 D. 4

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Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

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Q: Find EF in the trapezoid. A 5 E F 3x+5 7x+2 EF=

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Q: Find the value of x for the trapezoid. 5x-5 07 O 10 05 4.3 26 2x+8

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Q: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: Find the constants xo, X1, and c so that the quadrature formula 1 dx = 5 (xo) +c1 f (x1) f (x) has…

A: We have to find the constants x0, x1, and c1 so that the quadratic formula…

Q: Find values of a and b for whichLim x approaches 0((cosax-b) / 2x^2) =-4

A: First we let b=1 and use substitution property of limit to check if it is 0/0 form or not . SInce…

Q: :Evaluate , V1 + x dx using Gauss-Quadrature formula (n=4).

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Q: A manufacturer of open steel boxes has to make a box with a square base and a capacity of 1 kl. The…

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Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: For x and y in meters, the motion of a particle is given by x=t^3−3t,    y=t^2−2t   i don't…

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Q: By expanding (x – h)² + (y – k)² = r², we obtain x² – 2hx + h? + y² – 2ky + k² – r² = 0. When we…

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Q: What is the form of y, given (D² + 9)y = cos3x С. Ур 3D х(Asin3x + Bсos3x) Yp = x²(Asin3x + Bcos3x)…

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.