Let Ē =< ax ) y In x> Calculate F. dr where r is the Straight line seg ment connecting (1,1) to (2,2)

Q: Evaluate fr (y-x-3x²i)dz where C is the straight line from z = = 0 to z = 1 + i. 2+i

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Q: 5. Given f(x) = x² +4x +2 and g(x) = 2x – 3, find all of the following:

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Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

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Q: Which of the following are the tangent lines perpendicular to y = x, to the curve x + y² = 8? Oy=x+8…

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Q: 3. Find the points where tangent lines are vertical or horizontal: x³ + y³ = 6xy

A: Given:- x3+y3 = 6xy To find :- Points where tangent horizontal and vertical

Q: Consider the function y = 2- 8x + 6 on the interval 8x² a) Find the slope of the secant line on this…

A: The given function is; y=sqrt(8x2-8x+6), [-3/2,5/2].

Q: 2. For what values of the numbers a and b is the curve f(x) = eaz²+bx tangent to the line y = e at…

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Q: Pls help

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Q: 4) The values that U takes depends on the values that are taken by C and P. Specifically, U(C,P)=CX…

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Q: find the sLope Of a tangent line hCx) = x +44 iz

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Q: Let f(x) = x² + 2x+1 a) Find the equation of the secant line between the points P and Q on the graph…

A: Let (a) To find the equation of the secant line between the points P and Q on the graph of , where P…

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: Find the slope of the tangent line to the curve 3 a -3 ry-3 y = -33 at the point (-2,-3). b) o d) e)…

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Q: a) Given that straight line y + x=2 is tangent to the curve y =x² – 6x + q. Find value q.

A: Given,  y+x=2⇒y=-x+2

Q: 1. Let f(x) = x³ – 5x + 2, Use Derivative Rules to find the following: a) Find the equation of the…

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Q: Sketch the line tangent to f at the point corresponding to x = -1. Label it as T.

A: d) The tangent to the given function at x=-1 is as given in the following figure.