Find the equation of the line passing through the point (4,5) and perpendicular to the line y= x+2 perdendicular gradient =

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: 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: 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: differentiate the functions and find the slope of thetangent line at the given value of the…

A: We differentiate both sides with respect to x

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: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (-1,…

A: Here, the given curve is: f(x)=2x2 To find two tangent lines that pass through (-1,-6)

Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

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Q: Find the gradient of the function g(x,y) = xy at the point (3, - 1). Then sketch the gradient…

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Q: Find the gradient of the function f(x.y) = /2x+ 3y at the point (- 1,2). Then sketch the gradient…

A: Solve the following

Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

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 equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

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: Find the line tangent to the curve x 3 + y 3 4 at the point (-3/3, –1). V3 y = 3 x – 4 V3 4 - 3 -V3…

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Q: Find the gradient of the function at the given point. Function Point f(x, у, 2) 3 x2 + y2 + z2 (7,…

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Q: c. y = 2Vx when x = -1 с.

A: We have to find the gradient

Q: Find the derivative of the function. y=x5 7 3x7 O y'=- 2x3.7 O Y'33 O Y'=. 2x3.7 O Y'=. 3x7 + 5x4…

A: Given, y=x5x3+7

Q: Find the gradient of the ellipse 2x2 + 3y2 = 14 at the points where x = 1

A: It is given that the equation of an ellipse is ;  2x2+3y2 = 14 We have to find the gradient of the…

Q: Find the gradient of the function at the given point. y Ri (2, 2) x²+ y2' Vf(2, 2) = %3D Find the…

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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: Find the gradient of each function at the given point. Then sketch the gradient together with the…

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Q: The slope of the line through the distinct points (x1, yı) and (x2, Y2) can be interpreted as the…

A: To Determine: the slope of the line through the distinct points can be interpreted as the rate of…

Q: Find the gradient of the function y = x³ + x² – 2x at points where - a. It crosses the x -axis b. It…

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Q: Find the gradient function for: 21y-

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Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

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: If f(x, y) = xy, find the gradient vector Vf(7, 5) and use it to find the tangent line to the level…

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Q: w = 3x² – 5y² + 2z², (1,1, –2)

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (10, 5, -2) 2, Vw(10, 5, -2)…

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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: 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: Find the gradient of the function f​(x,y)=5y−9x at the point (4,4). Then sketch the gradient and the…

A: Given the function

Q: The probability of not matching the salt content of sand from a particular source is 0.2, and the…

A: GivenThe probability of not matching the salt content of sand from a particular source =0.2 The…

Q: Determine the gradient of f(x, y) = 2x² + yz* at the point ( – 5, 3, – 2). V f( – 5, 3, – 2) =

A: Given function is fx,y=2x2+yz3. We have to find the gradient of fx,y=2x2+yz3 at the points −5,3,−2.…

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

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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 gradient of the function f(x, y) = 7x2 + 6y, at the point (-2, 6). [ i.e., find V f(-2,6) ]

A: As we know that the expression of the gradient of the function is: ∇fx,y=i∂∂x+j∂∂yfx,y Given:…

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

A: Equation of line can be taken as y=mx+c

Q: Find the gradient of the function g(x, y) = 2xey/x , at the given point (2, 0)

A: Consider the given: gx,y=2xeyx,2,0Gradient of the function…

Q: determine the gradient and equationof the tangent to the curver f(x,y) = 0 in the point (a,b) for…

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Q: differentiate the functions and find the slope of thetangent line at the given value of the…

A: Given function is y=x+31-x. To differentiate the function and find the slope of the tangent line at…

Q: Line has a -intercept at (0, 3) and an -intercept at (4, 0), . what is the gradient of L

A: The line has y-intercept at 0,3, and x-intercept at 4,0. Thus, the gradient of the line will be…

Q: Find the linearization of the function z =/ at the point (-5, 1). L(1, y)

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Q: Find the gradient for the curve defined by y + xy = 3 at the point (1,2)

A: Gradient to given curve