The equation of the line with gradient 4 which passes through the point (1,2) is: O y = 2x – 4 y = 2x + 4 y = 4x – 2 y = 4x + 2

Q: The line with equation 7x + 5y – 4 = 0 (a) Cuts the x-axis at the value x = (a) Cuts the y-axis at…

A: The equation of the line is: 7x+5y-4=0 The problem can be solved as follows:

Q: Find the points on the curve y=x(x-1)(x-2) which have the same gradient use @ for 2

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Q: The line 3x + 2y +14 0 has a gradient of and y-intercept of Where appropriate, give your answer as a…

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Q: 5. Find the gradient of the curve i) y = 3e-2x – 1 at the point where x =. ii) y = xv2x - 3 at the…

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Q: The line with equation 2x + 4y +7 =0 (a) Cuts the x-axis at the value x (a) Cuts the y-axis at the…

A: Given that: 2x+4y+7=0

Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2)…

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Q: Find the gradient of the function at the given point. In(x2 - Y) - 9, (3, 8) Vz(3, 8) =

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Q: Perpendicular to y + x = 0; (2, 0) on line

A: To find equation of a line ,which is perpendicular to line y+x=0,and point (2,0) lies on line.…

Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: Find the gradient of the function at the given point. In(x² – y) – 8, (3, 8) Vz(3, 8) =

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Q: Find the gradient of the function f(x,y) = /4x+2y at the point (- 1,4). Then sketch the gradient…

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Q: Use implicit differentiation to help you find the value of the gradient for the equation x² – ev =…

A: given equation x2-ey=yx-2+8 claim- use implicit differentiation to help you find the value of the…

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: c. y = 2Vx when x = -1 с.

A: We have to find the gradient

Q: 3. The product of the gradient of the tangent line and of the curve is twice the abscissa. If it…

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Q: Find in what directions does flx, y, z) = 4x 2– 9z + 2z In(y) increase and decrease most rapidly at…

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Q: b. y = 2x2 when x = 6 %3D 3.

A: Consider the curve: yx=2x23 at x=6. Find the gradient of the curve at x=6.

Q: What is the gradient of f=x^2+y^2-2xy-x+3y-z=-4 ?

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Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the…

A: First I have written the rule of minimum rate of change of a function at given point and then find…

Q: The table shows experimental valucs of two variables x and y. 0.1 0.5 1 1.5 2 y -5.95 1.63 0.83 0.61…

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Q: A line I has a gradient of m₁ = Which one of the following lines will intersect I at right angles? 4…

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Q: Find the coordinates of the point(s) at which the curve y = x-2/3 has gradient – 1/6. %3D -

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Q: There is a tank in the shape of a paraboloid:   Water is being pumped into the tank at a constant…

A: Water is being pumped into the tank at a constant rate of 2π cubic inches per minute. If y denotes…

Q: Find the gradient of ?:V x²+y²1Z²

A: Gradient of a function f(x,y,z) is given by ∂f∂xi  ∂f∂yj + ∂f∂zk

Q: The curve y = 2x² +- k has a gradient of 5 when x 2. Calculate: (а) The value of k. (b) The minimum…

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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: The equation of the line with gradient 3 which passes through the point (1, -4) is: O y = 7x – 3 O y…

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Q: Find the gradient of w= 3x² - 5y* + 2z at the point (1, 1, -2)

A: The given function is: w=3x2-5y2+2z2

Q: Find the gradient of the curve y = 36 (2х - 3) at the point (3, 4)

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Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

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Q: First, compute the gradient of the function f(x,y) = 4+5x²-3y². Then evaluate it at the point…

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Q: Obtain the particular solution for: 2y" +2y=2sinx y(0)=0, y'(0) =1 By using method of variation…

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Q: What is the gradient of f(x, y, z) = x³z2 + y³z +125z - 1 at P(5,5,-1) ?

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Q: Find the gradient of the curve y = a²xe-b*x at x = 1.

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Q: First, compute the gradient of the function p(x.y) /29-4x -y. Then evaluate it at the point (-2,2).…

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: A heat-seeking particle is located at the point (2, −2) on a metal plate whose temperature at (x,y)…

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Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

Q: Find the gradient of the curve . Y=4x^2 at x=3

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Q: Determine the gradient of the curve 3xy + y² = -2 at the point (1, -2)

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: We have to solve

Q: 1 y" – 2y' + 2y y(4) = 0, 3 (4) = 0. -

A: Given: The given differential equation is y''-2y'+2y=1x, y4=0,y'4=0

Q: Find the gradient of the function at the given point. In(x2 - у) - 3, (2, э) Vz(2, 3) = %3D

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Q: A heat-seeking particle is located at the point (2,3) on a flat metal plate whose temperature at a…

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Q: First, compute the gradient of the function f(x.y) = 3+ 3x - 7y. Then evaluate it at the point (-3,-…

A: Given:      f( x , y ) = 3 + 3x2 - 7y2      Point : ( -3 , -4)

Q: Find the gradient of tangent to 3 x2 - x y – y = 23 at the point (3, 1). Enter the exact value of…

A: We have to solve given problem:

Q: If ø = 3r²y – y³,2. Find gradient Vø at the point (1, –2, –1).

A: The solution is given as

Q: For curve with equation f(x) =x²(x² – 1) find a. The coordinates where its gradient is zero b. The…

A: The gradient of a function f(x) is given by its derivative w. r. t to 'x' that is f'(x).  The…