In Exercises 7-10, determine from its graph if the function is one-to- one. [ 3 - x, x< 0 7. f(x) = (3, x20 (2r + 6, x s-3 8. f(x) lx + 4, x > -3 9. f(x) = x>0 x + 2" S2 - x, xs 1 10. f(x) = x> 1

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A: Simply take the difference between these two values by deducting the smaller from the larger if you…

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A: for concave up , f'(x) is increasing For given graph , f'(x) is increasing on

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Q: how do I post the second part?

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Q: Express the following logarithms in terms of ln 5 and ln 7.c. ln 7sqrt(7) d. ln 1225

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Q: 1. Consider the hyperbola with foci (-6, 1) and (-6, -9), and a vertex at (-6, -1). a. Give the…

A: The foci of the hyperbola is -6,1 and -6,-9 and vertex at -6,-1.

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on t -10x2 - 3 12) f(x)…

A: Explanation of the answer is as follows

Q: Variables

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Q: What is critical point??

A: Critical point:- A continuous function's critical point f, is when the derivative is 0 or…

Q: Let f(x, y) g(x) = x², and h(x)=√. Then f(h(1), g()) =? y²

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Q: Use the laws of exponents to simplify the expressions in Exer- cises 11-20. 11. 162- 16-1.75 12.…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

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A: According to our guidelines,i can solve only first three subparts only,please reroute the remaining…

Q: 7. Sketch the vector field F = (x − y)î + yĵ. Identify where F₁ vanishes. Identify where F2…

A: According to our guidelines,i can solve only first please reroute the remaining question.

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A: 1) Here we have to find the area bounded by the given curves, axes and/or lines. a) y2-3x+3=0 and…

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Q: What is an even function? An odd function? What symmetry properties do the graphs of such functions…

A: A function f(x) is said to be an even function if f(-x)=f(x)and a function f(x) is said to be odd…

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Q: Express the ratios in Exercises 69 and 70 as ratios of natural loga- rithms and simplify. log,a log2…

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

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A: We will derivative the function twice with respect to x and than y and than z as follows.

Q: Find the domain and range for each of the functions in Exercises21–24.21. ƒ(x) = 1/2 + ex 22. g(t) =…

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Q: Find y to the second derivative. y=5excos(x)

A: To find second derivatives..

Q: dy For items 13-14, consider the function y=√ 6x-2 whose derivative is given by dx 3₁√/6x-2 2(3x -…

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Q: Find simpler expressions for the quantities in Exercises 45-48. 45. a. eln7.2 b. e las 46. a.…

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A: answer=4(tan(θ))

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Q: en h(x)= x³f(x) g² (x) XT) and f(1) = 1, f'(1) = -1,g'(-1) = 3,g(-1) = -2, find h'(- 1²0100

A: Topic:- function and its derivatives

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Q: 26. 1 (₁7) + dy - 2xy) d + cos x - 2xy dx = = y(y + sin x), y(0) = 1

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A: Note:- FV = PV 1+Rnnt Here, FV denotes Future value, PV denotes present value, R denotes rate and t…

Q: 3. Multiply: (-2-7)(-2+71)

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Q: 1. Find the extrema and/or the saddle points of the functions. a) f(x,y) = e4y=x²-y² b) f(x, y) = (1…

A: Note:sorry for the  we should solve only one question , as solution is too long. Hence please repost…