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

Q: Use the algebraic tests to check for symmetry with respect to both axes and the origin.y = 1/(x2 +…

A: A function is symmetric with respect to the y-axis if f(x)=f(-x). Such a function is also called an…

Q: What is -4y dx + 2x dy, where C is the circle „² + y² = 16? O 967 O-167 O-327 O487

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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.

Q: That is, T'(1) = %3D

A: Given, a recurrence relation T(n) corresponds to the natural numbers, but that "skips" multiples of…

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: Find the greatest and smallest values that the function f(x, y) = 4x+5y takes on the circle x2 + y?…

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Q: Use the trapezoidal rule to find AT using the indicated value of n. 8 dx; n = 8 2x2 +2

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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: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 5? a = b…

A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: B is the midpoint of AC. If AB = x+5 and BC = 2x - 11, find the measure of AB. %3D A B 16 C 21 42

A: Given : AB=x+5BC=2x-11

Q: U and R are the midpoints of the legs, PT and QS, of trapezoid PQST. If PQ = -z + 70, RU = -z + 83,…

A: The solution is given below:

Q: Find a,b and c so that the quadrature formula has the highest degree of precision | F(x)dx = af(0) +…

A: Given: The function is  ∫02 f(x) dx ≈ af(0)+ bf(1) + cf(2) To find: The value of a, b, and c.

Q: Find a,b and c so that the quadrature formula has the highest degree of precision | f(x )dx & af (0)…

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Q: Find the value of max. (y, g subject to yit Ye ty3=53 %1YL ;Z0 3.

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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

A:

Q: How many circles touch the x-axis and the y-axis and pass through the point (2,1)? Select one: a.…

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Q: 2. Evaluate -2d: ez dz if c is a circle. 2ni C z-2 a) circle Iz| = 1 b) circle |z| = 3 %3D

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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: 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: Test for symmetry with respect to each axis and to the origin xy−√(4 − x2) = 0

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Q: What is the value of (z + 1)² d² z(I + 2) around the circle |2 – 1| = 3?

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Q: There are three collinear points A, M and E. M is in between A and E. Segment AM equals 3x+1.…

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Q: Find the extremum of f(x,y) = 5x²y² +5y² + 6x?. Answer:

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Q: The arclength of y 4x/2 for 2 < r < 4 is:

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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…

A:

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: d the condition for the point (a,0),(h,k),(0,b) when ab is not equal to 0 to be collinear

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Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+7y 7,y=* %3D

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Q: In the following diagram, A || B. 21 3x+7 2 23 B 4 26 25 4x+5 5y-29 28 Зу+19 Use complete sentences…

A: In this question given that a diagram. There are two line are parallel we we find that if a line…

Q: The degree of precision of the following quadrature formula is: 3h5 f(x)dx =(0) + 3f(1) + 3f(2) +…

A: The given quadrature formula is                       ∫03f(x)dx=38f(0)+3f(1)+3f(2)+f(3)-3h80f(4)(ξ)…

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

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Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax2 when x = 4?

A: Consider the equation of the parabola, y=ax2 differentiate the equation with respect to x to find…

Q: Find the extremum of f(x,y) = 4x²y2 +3y? + 5x?. %3D Answer:

A:

Q: For what values of a and b is the line 4x + y = b tangent to the parabola y = ax² when x = 4? a = b…

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Q: Suppose f(5.25) = f(5.75) a. Find a if the composite Trapezoidal Rule with n 2 gives the value 12,…

A:

Q: 17) - Consider the quadrature formula ²₁ f(x) dx = f(-²) + ‡ƒ (²) If the degree of precession is 1,…

A: Consider the given quadrature formula, ∫-11fxdx≅45f-12+65f13 Here it is given that degree of…

Q: B E C Given: DE = 13 EF = 15 ВС%3D 24 DF = 2x – 3 Find the perimeter of AABC. Solve for x.

A: In the question it is asked to calculate the perimeter of ∆ABC. Also it is asked to calculate value…

Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+ 7y = 7, y =

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Q: C. 3x +4 E. 9+x %3D DE is a midsegment of triangle ABC. If DE = x + 6 and BC = 3x + 4, what does x =…

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Q: The x, y, zER, subject to the condition yz + zr + xy = 12. Then greatest value of ryg is (a) 6 %3D…

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Q: Given that 3 = ym +, determine the exact value of m +. %3D

A: a+b2 = a2+b2 +2ab.

Q: TT What points in satisfy the equations r= 2, 0=? %3D 4

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Q: Given f(x, y, z) = 6x2 + 2y? + 3z², find

A: Given,          fx,y,z=6x2+2y2+3z2

Q: The formula for the midpoint of (x1, y1) and (x2, Y2) is: M =| O True O False

A:

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.