(e) lim(z.)+(0,0) rªy-2ry³/2 3¹+5² (HINT: Consider a path along the r-axis and one where y = x².)

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A: Given

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Q: 14-15) For the function f(x) = -7x +4; Find f (x+ h)-f(x). A)-7a - 7h +4 B) -7h C) -7a D) -7x - 7h…

A: In order to find the slope of tangent to the curve, we need to differentiate the function.

Q: Find the distance between (1, 1) and (3√3) along the graph of y2=x3

A: ANSWER :

Q: a- Find the limits of the functions below: 7x3 - limx→0 3-3x²-6x x+2 limx--2 Vx²+5-3

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Let's find t for the given  terminal points.

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Q: The range of the relation;

A: We are given a relation R=x,y∈R2/ y3-x2+6y2+12y-2x+7=0 The objective is to find the range of the…