Consider the function g(x) = a sin²(x)+1 kx+1 2x+1 if x < EN EN TT 2 if x > T 2

Q: 2. 2xyy' = x² + 2y²

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Q: (a) Let f(x) = (x + 5)4, z 20. Find a formula for f-¹(x) Answer: (b) For what values of x is f¹…

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Q: In each of the following, eliminate the arbitrary constants. 1. x³ - 3x²y = c 2. y sin x - xy² = c…

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Q: Determine the end behaviors for the function f(x) graphed below. -5 -4 -2 -1 6 5 4 3 2 1 -1 -4 -3. 4…

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Q: Show that every symmetric (то) 3х3 в а) 2х2 square is a multiplication table of a group Latin

A: A Latin square is an n×n array filled with n different symbols, each occurring exactly once in each…

Q: Find the equation for the ellipse with foci at (2√5, 1) and (−2√5, 1) and one endpoint of the minor…

A: Given:  foci is at (2√5, 1) and (−2√5, 1) and one endpoint of the minor axis at (0, −3 ).

Q: We are trying to prove the following limit. Once we have specified & in terms of &, one of the steps…

A: From ε-δ definition of limit we know that, limx→af(x)=L implies for a pre-assigned ε&gt;0 there…

Q: Show the ODE is not exact, but can be made exact. SOLVE. (x+x+2y + 1) dx + (x + 1) du 0 =

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

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Q: d) y VT 3 + 2 (√)

A: Given y=x32+3x5

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

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Q: 1. Find the exact length of the curve for r(t) = (√√2t, √√2t, t²), 0≤t≤1 (Note: The variable t is…

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Q: 3.) The revenue equation (in billions of dollars) for corn production in the United States is…

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Q: Graph the function f(x)=-(x+1)^(4)+1. Determine any roots of the polynomial.

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Q: find f'(x) or f(x)=(x^2+2)^3

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Q: Find the x-values (if any) at which f is not continuous. If there are any discontinuities, determine…

A: topic- Limits and continuity we are given,f(x)=5xfunction is discontinuous at a point if limit does…

Q: 1.) Let U=(n, o, p, q, r, s, t, u, v), A = (n, p, q, s), B = (n, o, p, t, u, v), C = (n, p, q, u,…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve first three…

Q: Consider the following. x = sin(6t), y = -cos(6t), z = 12t, (0, 1, 2) Find the equation of the…

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Q: the average value have of the function h on the given interva In(u) U h(u) = [1, 3]

A: Given query is to find the average value of the function.

Q: t of x +2x^3/2, Find f'(16).

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Q: Rewrite the quadratic function in transformation form. h(x) = 2x² + 8x - 5 h(x) = Give the vertex. (…

A: Here we have to write inthe standard form

Q: 4. L y = e y 3y + y = 2e x + xe-x; y" + 2y' + y = 0 d³y d²y d

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Q: By the definition of the derivative, the derivative of f(x) = 3x2 is?

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Q: Given the function f(x) = x² − 3x and g(x) = 2x + 1, find__[ƒ(x) • g(x)]. © y' = 6x² + 10x – 3 y' =…

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Q: Practice -3₁ (2-5₁) = (answer in a + bi form

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Q: There is a line L that passes through pt (p, 0, 0) as well as pt (0, q, 0). When this line L…

A: We have to find the distance between L and P .

Q: Find the arc length of the curve r* (t) = (cos³ (t), 0, sin³ (t)) from t = 0 to t = FIN ㅠ

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Q: Let  f(x)= x^2 + square root of x, Find f'(4)

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Q: Which of the following statements is false? AA function is not differentiable at x-a when it is…

A: NOTE: Refresh your page if you can't see any equations. . conditions for the differentiable…

Q: Given f(x) = -2x² 18x - 36 x+6 Select the correct answer below: which of the following statements…

A: The given function is fx=-2x2-18x-36x+6 We have to check continuous at x=1

Q: Find the average value have of the function h on the given interval. h(x) = 4 cos(x) sin(x), [0, π]…

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Q: 1. Fill in the derivative rules learned in class on: d dx [c] = d dx -[e] = = d dx d dx [x²] = =…

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Q: 1. Using Theorem 2.3.1 and Theorem 2.3.4, comput the derivative of the function g(x) = 16x² - 4x³…

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Q: Find the slope of the normal line to the curve f(x) = √x+1 at (3,2). B-1/4 1/4 ***

A: Topic- slope of the normal line for function y=f(x) ,slope of the normal line to f(x) at x=c is…

Q: A math tutor makes $15.00 an hour. An additional $7.50 is added if she works past her normal 40 hour…

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Q: Given f(x) = 4√x – 3, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: S4 (1+4/2) ² dr dx iv. S₁

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Q: Let f(x) = 2x³ + 5x+3. Find x if. f-¹(x) = 1.

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Q: 2. Polar Coordinates. Plot the points whose polar coordinates are given by: (2) • (-2) (2-) •(-2-4)

A: Given information Plot the points whose polar coordinates are given by : ∘   2, π3∘   2, -π3∘    -2,…

Q: us at the +x 5 ble at the The functions in Exercises 21-26 are defined for all x except for one…

A: According to bartleby guidelines,  we are supposed to do only one question  with 3 subparts.  If you…

Q: We want to compute the following limit a) As a approaches 5 we get an indeterminate form of the type…

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Q: Find the indicated derivative. for p = 9² +2 4q-1 11 da

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f'(1) = -1,…

A: We have to find derivative at x=1

Q: Use the definition of derivative f'(x) = lim h→0 f(x+h)−f(x)/h to find the derivatives of the…

A: By using the defintion of derivative, f'x=limh→0 fx+h-fxh, to find the derivative of the given…

Q: The population of a city is modeled by the equation P(t) = 236,377e0.25t where t is measured in…

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Q: b) h(x) = 5e cos(x)

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Q: 2 e dx = O 2 e In 2 O + c O 2 e + c 2 e 1+ In 2 O (2 e In 2) + c + c

A: We have to solve the integration

Q: Determine the open intervals where the function graphed below is increasing and where the function…

A: We have given graph of a function  Function is increasing for those interval , when as x increases…

Q: 5&6.1 Optimal Path(#differentiation) You are a rover pilot on the crew of the initial exploration…

A: Given information:  G1: The on shore velocity of drone = 4km per hour G2: The off shore velocity…

Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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