Graph and locate the foci. (z- 3) , (y+1)² = 1 %3D 25 36 Posted Wed Mar 31, 2021 at 12:17 pm Comments There

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 25. Find the…

A: Consider the equation of the ellipse  We know:- slope=dydx We evaluate implicit differentiation of…

Q: 12) In the diagram below, Jose found the centroid P by construct medians. He measured CF and found…

A: Here P is the intersection point of median which is known as Centroid  of the triangle ,

Q: A particle follows the trajectory x(t) = t3 + 2t, y(t) = 20t – t2 with t measured in seconds and…

A:

Q: Use Lagrange mulapliers to hnd the point (a, b) on the graph of y– e%, where the value ab is as…

A: use lagrange multipliers to find the point a,b on the y=e6x where the value ab is as small as…

Q: (b) Sketch the graph of the function y = 1+ /16 – x²2 for -4 < x < 4. Hint: x2 + y? = 16 is the…

A: Consider the equation of the circle The graph can be plotted for the circle as

Q: The graph of x+y = 4 is an ordinary right cireular cylinder. Indicate axis of the eylinder lies…

A: The equation of right circular cylinder is given by  x2+y2=4

Q: The gruph o i shown here Ideatify the graph of the inerve finction - (B,

A: The inverse of a one-to-one function f(x) is another function that reverse the function f(x). That…

Q: 13. The parabola y = x2 + x + 1 opens: A. To the right %3D B. To the left C. Upward D. Downwarč

A: y=x2+x+1 here parabola is in the form of y=ax2+bx+c which means it can be open up or down…

Q: (d) Find the points on the curve x'y = 60 nearest the origin.

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Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: Q3 Find dyldx on the graph y secx + y = cos2x at point (1, 2).

A: We have to find the derivative of above function at (1,2) Please see the explanation below

Q: Evaluate fF dR given that F(x, y) = 2yî + (xy – 2x)j and C is the curve in the third quadrant from…

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Q: dx, using two and three points Gauss Quadrature Q4 (a) Approximate the value of

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Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Find the equation in terms of x by substituting x=t in the given expression   y=t2-1=x2-1   To use…

Q: How far from the y-axis is the center of the curve 2x2 + 2 y² + 10x – 6y – 55 = 0? %3D 2.50

A:

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 9. Find the…

A: Use equation of ellipse to compare then find point of tangency

Q: Using Midpoint Method, calculate y for the following: y' – xy² = 0, y (0) = 1, h = 0.1

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Q: In the ry-plane above, Ime I intersects the parabola y = x-1 at points R and S. What is the slope of…

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Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

Q: Find maxi mal reete of change of a functron flx,y)=xy²+Vz a poiet (R,4).

A:

Q: a) Find the length of the curve y = 5x/T - 6, 1<r< 3.

A: Arc length of the curve along x-axis

Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: A particle is moving with the given data a(t)= 3e^2t -2 cost, s(0)=0 and v(0)=0, find the position…

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Q: Trace the curve r2 = 4cos etan2e. %3D

A: The given equation is r2=4cos4θtan2θ. Simplify r2=4cos4θtan2θ as follows:…

Q: Which of the following point (æ, y) on the graph of y = /2x is the nearest to the point (4,0) ?…

A: 1. The parametric form of equation Y2= 4aX is X = at2 and Y= 2at. 2. The perpendicular distance from…

Q: ABCD is a trapezoid with midsegment EF. Find the value of x.

A:

Q: y? =1 (Must show center location, asymptote lines, vertices) |

A:

Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: The figure below has a polnt marked with a large dot. First, reflect the figure across the x-axis.…

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Q: The diagram shows part of the curve y? = x+1 which intersects the axes at A and B. The area of the…

A: given,

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y² = 100. Find…

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Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 .

Q: WY is a midsegment of AUVX. If UV = s + 49 and WY = 4s, what is the %3D value of s? U Y W V

A:

Q: @GRAPHS OF THE POSITION FUNCHIONS OF TW0 PARTICLES ARE SHOWN, W HERE t IS MEASURED IN SECONDS. WHEN…

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Q: 45. Opens downward with focus 10 units away from the vertex

A: Given the parabola which opens downward with focus 10 units away from the vertex

Q: Q5 Find the length of the arc of the curve in the given range, х%3D25у + 5y? + y3 1 0<y<3 3* 4(y +…

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Q: Find the coordinates of the point in the curve y = 12x – 2y + 23 that is nearest to the point P(10,…

A: Given curve: y2=12x-2y+23 The point is  P10,4 To find: The coordinates of the point on the curve…

Q: Find the extreme value of the function f(x, y) = xyon the ellipse x2 + 2y2 = 1.

A:

Q: Symmetric with respect to the y-axis yA 1 1+ x?

A: Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the…

Q: in R°sketch the graph of the cylinder x = (y – 2)?

A:

Q: Find two values of d such that the line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81. Find the…

A: Given,           The line 2x + y = d is tangent to the ellipse 4x2 + y2 = 81.We know that,y = mx + c…

Q: TWVU is a trapezoid with midsegment FG. Find the value of x.

A: The midsegment of a trapezoid is parallel to each of the parallel sides and its length is half the…

Q: Ex3 Find Equation of plane pass through point (3,-1 2) and the vectos A=itj+k', B= zí

A:

Q: Write the equation of the cone with the top point (1,2,3) and t he rectification curve fx= cost,y=…

A: The generator line for a cone is the line that connects the vertex and the point on the…

Q: (x – 1)² (y + 2)² | Graph: 1. Where are the foci located? 4 9

A: An ellipse is basically a plane closed curve that surrounds two focal points such that for all the…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.