Given the graph of the function f (x) below, use a left Riemann sum with 6 rectangles t approximate the integral f f (x) dx. 12 11 10 9 8 7 6 5 st 4 3 2 1 H 1 ******* N 3 6

Q: (dz) dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

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Q: -10 10 Provide your answer below: 8 6 4 2 46- -8 10 6 8 →x 10 What are the x-coordinates of the…

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Q: 6 5 4 3- 2 -6-5-4-3-2-1 1 -2 | || 서 3456 -3- -4 -5 6 1 2 3 4 5 6

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A: Given, gx=x-22hx=2x+4

Q: 3. Given the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all…

A: I am attaching image so that you understand each and every step.

Q: 3. Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 − 3x] + x, 2 x<-2 x ≥ −2…

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Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: O 3 m/~ ~0/3 3 3 The function g is defined by g(x)==- What is the instantaneous rate of change at x…

A: Topic = Rate of change

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Q: B: Evaluate the following: 2- 6 I (5.66) 5r (0.66)

A: Given 6Γ5.665Γ0.66

Q: 1. Find lim x2-x² 1 x3 8 - 4x +4

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Q: -8-521-7-2 ²1₁-7-2 3-25 95-16 + 8+65 45249

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Q: Q1- Find all the second-order partial derivatives of the function: f(x, y) = sinxy

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Q: 7. Graph y = 3sec(x+π) - 1 Determine the following: Domain Range Amplitude Period Frequency

A: Topic:- calculus

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Q: Find the solution of the DE y' a. y² = -x² (1-In(kx²)) 2 In(kx) 1 y² = −x² (2 + ¹n(kx²)) 2 d. y² =…

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Q: A liquid at a temperature of 120°F is placed in a room at 36°F. Its temperature T (in °F) at time t…

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Q: B: Evaluate the following: r (4)r 1– r 912

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Q: 41. Show that f(x) = 3√x is continuous at x = 0 but not dif- ferentiable at x = 0. Sketch the graph…

A: NOTE: Refresh your page if you can't see any equations. . take x=0

Q: olve 2x-3y 4y + 3x¹ (c) y = 2 (d) (z-y)' + 3y -5x = 0. I need a clear answer by hand, not by…

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Q: Use a graph off to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x…

A: The given function is: fx=1-cos2x-25x-12; a=1 (b) To evaluate f(x) for values of x near 1 to support…

Q: Kindly solve it

A: Given differential equation  2xy'+y=2x

Q: EXAMPLES 10. Find the DE of the family of SL with algebraic sum of intercepts fixed as

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Q: Q2. Determine the complete solution for the following differential equation: y"+y'+0.25y=0 if y(x) =…

A: y''+y'+0.25y=0 let y=emx y'=memx    ;   y''=m2emx…

Q: 2. Use the different differentiation rules and formulas to determine the derivative of the following…

A: Derivative

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A: NOTE: Refresh your page if you can't see any equations. . subtract 5 from both sides

Q: Q4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1)…

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Q: The graph below is the function f(x) -5-4 2 03 Find lim 24-1- Find lim z→-1+ da 14 Find lim 24-1 23…

A: According to the graph

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Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Draw a fraction-circle diagram that illustrates 5 ·

A: Since you have posted multiple questions, according to Bartleby's policy, we'll solve the first…

Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

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Q: Evaluate lim 1 1-2x X-3 x-3

A: Here we have to use the concept of limits

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Q: 2. Find lim (3x° + V9x6 − 2x3) 第→○ 2

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Q: Consider the vector function given below. r(t) = (5t, 3 cos(t), 3 sin(t))

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Q: The function h(x) defined as: f(x)= = 1 x + 7 can be expressed in the form f(g(x)) where g(x) = x +…

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