Question 3 Consider the function f(x) - 5x + 10x - 5. f(x) has a critical point at a = A. Find the value of A: A = At x = A, does f(x) have a local min, a local max, or neither? Type in your answer as LMIN, LMAX, or ΝΕΙTHER.

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A: giveny'+xy=xthis is a linear differential equationcompare this equation withy'+Py=Qwhere P=x  and…

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Q: QUESTION 4 Let f(x.y) = y2- x2. Find and classify the critical point for f. Oa (0,0) is a saddle…

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Q: а. (у + 2)2— 2x log y - In u = 2e-x, k > 0 ay ax? ду? b. uxx + xy uxy + y²u² = 0 = v2 + x azu C. t-…

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A: Answer is following.

Q: 11.7: Problem 1 Find the critical point of the function f (x, y) = – (14x + 2y² + ln(|x + yl)) . С —…

A: According to question,Given function,fx, y = -14x + 2y2 + lnx + y

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Q: 10.2.2 Use a cobweb to show that x* =0 is globally stable for 0<r< Tin the 1 logistic map.

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Q: Find the function f(x) described by the given initial value problem. f'(x) = sin x, f(0) = -6 f(x) =

A: This question is based on application of integration.

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Q: Question 7: Calculate the Gini coefficient for the Lorenz function L(x)x*.

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Q: Question 4 Not yet answered Marked out of 1.00 P Flag question Determine whether the function y(x) =…

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Q: 15.)What is/are the critical value(s) or point(s) of the function h(x) =x³ +x² + x? %3D A. x = -1 C.…

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

Q: Consider a population P(t) satisfying the logistic equation dP = aP – bP2 where B = aP is dt - the…

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A: Here, the given function is: y(t)=12M1+tanhk(t-a)2...(1)

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Q: If we use a linear approximation of e- at a = 0 to approximate e-1/3, then we obtain: А. 4/3. В. 2/3…

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Q: Consider the function f(x) = 3x? + 10x – 3. f(x) has a critical point at z = A. Find the value of A:…

A: The function f(x)=-3x2+10x-3

Q: 3) Show that for any constants M, k, and a, the function k(t – a) y(t) M1+tanh 2 y' satisfies the…

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A: You must have an idea about to how to find relative maximum or minimum using critical points.