Find the equation of line (L) that passes through the intersection point of the two functions y = v2 - x2 and y-2x +3 = 0 and perpendicular to the line 2x – 4y = 6

Q: Find an equation of the line tangent to the curve defined by z2 + 6ry +y = 32 at the point (2, 2).

A:

Q: Find the equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

A:

Q: Find the equations of both lines that are tangent to the curve y = x - 3x2 + 3x - 3 and are parallel…

A:

Q: Find the equation of the line tangent to the graph of y = (x3 - 1)(x2 + 1)4 at the point where x =…

A: The Slope of the line at any point is given by the derivative of the function at that particular…

Q: Find an equation of the tangent line to the graph 16x4 + y4 = 32 at the point (1,2). %3D 1) 5 1 -+x-…

A:

Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: Find an equation of the line tangent to the curve defined by x2 + 6xy + y 32 at the point (2, 2).…

A: v

Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: Find the equation of the line segment tangent to the curve y−2x2−1=0y−2x2−1=0 which is parallel to…

A:

Q: The equation of the line tangent to the curve y=3x+4/4x-3 at the point (1,7) is  a) y - 25x=-18 b) y…

A:

Q: Find an equation of the curve that passes through the point (0, -7) and whose slope at the point 2x…

A: we have to find the equation of the curve

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the…

A: Curve y=ax3+bx2+cx+d is tangent to the line y=3x+8 at the point (-2,3). The curve y=ax3+bx2+cx+d has…

Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: 4) Find an equation of the line tangent to the graph of 2x³y³ = 2y – 4x at the point (-1, –1). Show…

A:

Q: Find equations of both lines through the point (2, - 3) that are tangent to the parabola y = x2  + x…

A:

Q: When we are standing at the point (1,-3), the function f(x, y) = 3x²y+xy is increasing most rapidly…

A: We have to find the direction of  rapid increase of the function using gradient of the function.

Q: The gradient of the line with equation y = 2x – 3 is: 3 O 2 O 3 O -3

A: Here, the given equation of a line is: y=2x-3

Q: Find the point on the curve y = /2x + 3 which is closest to the point (5, 0).

A:

Q: The slope of the curve 2x + Vx + y = y at the point (0, 1) is

A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =…

Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

A:

Q: Find the curve y = ƒ(x) in the xy-plane that passes through the point (9, 4) and whose slope at each…

A: Given, the curve y = ƒ(x) in the xy-plane that passes through thepoint (9, 4) and whose slope at…

Q: Find the equation of the line tangent to y = x2 - 1 going through x = 1

A:

Q: Find the equations of the line that is tangent to f(x) = x4 - 3x² + 2 %3D at x 2

A: To find: The equation of the line that is tangent to f(x)=x4-3x2+2 at x=2. Calculation: The first…

Q: Write the equation of the line tangent to the graph of y = 5xe*+4 at x = 1. a) y = 5e-1+4 b) y =…

A:

Q: Find an equation of the curve that passes through the point (0, 2), and has the given slope y′ =…

A: y'=x4y, (0,2) Formula ∫xndx=xn+1n+1+C

Q: 59. Find equations of both lines that are tangent to the curve 3x23x-3 and are parallel to the line…

A: First we find the slope of the tangent:Slope of the tangent is the derivative of the given…

Q: Find the slope of the curve x^2 + y^2 - 6x + 10y + 5 = 0 at point (1,0) * O 1/5 O 2/5 O 1/4 2 O O O…

A:

Q: Find the equation of a line perpendicular to 3x – 2y = 16 that passes through the point (9, 4). - Oy…

A:

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +…

A: for horizontal tangent,  dy/dx =0

Q: Find the equation of the line tangent to f(x) = 4x³ – 5x +4 at (–2, –18). -

A:

Q: Find the point on the line y 2 x-3 that is nearest to tne ofigin.

A:

Q: Find the equation of the line tangent to x^2 + y^2 - 6x + 2y = 0 at (0,0)

A: Implicit Differentiation In implicit differentiation, when we differentiate y, we use y' or dy/dx…

Q: Find the equation of the tangent line to the curve y=x4 -14x2+17x+40 and perpendicular to the line x…

A: The equation of given curve is   y=x4-14x2+17x+40  On differentiating with respect to x, we get…

Q: A particle moves on a vertical line so that its coordinate at time t is y=t3 - 12t + 3 , t>0. When…

A: (b)        y = t3 -12t+3    y1 =3t2 - 12 = v(t) when particle moving up means v(t)>0    3t2…

Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: The slope of the line tangent to the curve y = x*- 8x3 + 22x² – 24x + 9 at x = 1 is _.

A:

Q: Find the equation of line passing through (5, 8) and perpendicular to y - axis. Oy = 5 Oy= 3 Ov=0 Oy…

A: The general equation of the straight line is: y=mx+c Now, the slope of the y-axis is infinity. So,…

Q: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

A: Given, x3+y3=6xy

Q: Find an equation of the curve that passes through thepoint (0, 1)and whose slope at (x, y) is xy.

A: To Determine: Find an equation of the curve that passes through the point (0, 1)and whose slope at…

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the…

A:

Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: Find the equation of the line tangent to 8x2 + 18y3 = 152 at x = 1. %3D

A: The equation of a line tangent to a curve, y = f(x) passing through the point (x1,y1) is given by: y…

Q: Determine the equation of the line parallel to y+1=0 and tangent to y = 3x – 5x + 4 -

A: Recall that the slope of the parallel lines is equal. And the slope of the tangent line at any point…

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.