f a function is increasing, then will using left or right endpoints overestimate the area under the curve? Explain. Please include an example and use clear writing

Q: x4 x² x² + 1 - 1 dx ii) Š 1+ Inx

A: Please refer to the image below

Q: At what point on the curve x = (x, y) 6t² + 5, y = t³ - 2 does the tangent line have slope 11/22

A: This question is based on finding slope of parametric curve.

Q: Find f'(x) and f'(c). f'(x) f'(c) || 11 Function x²-9 X-9 Value of c c = 1

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Q: Write the equation of the line shown. Be sure to use the correct variable. Equation:

A: NOTE: Refresh your page if you can't see any equations. . the given graph is as we can see the given…

Q: Find the product of (8 + 6i) and its conjugate. product =

A: solution:-the complex number is 8+6i the complex conjugate of 8+6i is 8-6i

Q: Find the absolute extrema of the function on the closed interval. h(s) 12 S-5 [0, 1] (s, h) =…

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

Q: (1) ſ [ (x³ + 2 + 7 ) dx (3) cos³x dx (2) √ x³ (2) x3 e3x+1 dx (4) sin x sin 2x dx

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Q: Let R be the region between the graph y=x² and the line the cross sections perpendicular to the…

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Q: State the equation of a relation whose vertex would be lower than the origin and to the left of the…

A: We have to find the equation of the relation whose vertex is lower than the origin and left to the y…

Q: 3. 4. T 2 S² 0 π COS X /1 + sin x dx s sinx + 2 cos x dx

A: The objective is to find the integral.

Q: 3 x - 2x x-1 dx

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Q: Graph the function below by moving the vertical asymptote and the intercept to the correct location,…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptote, take…

Q: If the radius is 9 cm, and the central angle is 80 degrees. Find the following a) Arc length,s b)…

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Q: Evaluate: L{cos8t} = Blank 1 Blank 1 Add your answer

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Q: Use the given graph of the function f to find the following values for f-¹. 1. f-¹(-4)= 2. f¹(-3) =…

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Q: Show in paper. Find the integral of (2xcot(x) csc²(x)) dx.

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Q: 4. The height h in centimeters of Shuntaro's pogo stick from the ground as he jumps on it since s…

A: We have to find the height at given times.

Q: minimum maximum (x, y) = (x, y)

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Q: Is it possible for a function f to attain only positive values (that is, f(x) > 0 for all x) and…

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Q: 1. Find the volume generated by revolving about x=1, the area bounded by y = (x²-₁)² and the x-axis.…

A: We have to find the volume generated by the given function.

Q: (1) f(x+4)² dx (3) ſ. x² dx x² - 4 (2) √ x²(x³ + 1)² dx (4) √x²0 x² cos 3x dx

A: The given integrals are;  1) (x+4)2 2)x2(x3+7)7 3)x2/(x2-4). Repost the 4th question.

Q: 3) . Is the differential equation linear? y' = y + ey YesNo       PLEASE SHOW STEP BY STEP .

A: answer is in next step. please give a like !!

Q: an I ask how the maximum and mininmum points were obtained?

A: We need to find max and min points.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: 20. J 1 (x+25)√√x dx

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

A: answer is in next step.

Q: Evaluate the definite integral: TT/2 Jπ/3 7 5 sin(x) 5 cos(x) - 1 - dx

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Q: In *In ecot³x dx feln sinx

A: We need to evaluate integral.

Q: 10. Consider the piecewise function (with the piecewise having TWO pieces). Find the piecewise…

A: We need to find piecewise function.

Q: Let f(x) Then f'(x) = 3 sin x 6 sin x + 2 cos x m = The equation of the tangent line to y = = f(x)…

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Q: The equation of the tangent plane of the graph of function z = xy + 2x² - y3 at point (2, -1) is

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy 2 +y √( 1 ) = 3x²y² =…

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Q: Evaluate:L{1/4} = Blank 1 Blank 1 Add your answer

A: L{1/4} here we have to find laplace transform of 1/4 laplace transform of L(1) = 1/s   so for 1/4…

Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

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

Q: ow do you find the 70th derivative of f(x)=cos(x)

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Find the derivative of the function by the limit process. g(x) = -398 g'(x)=

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Q: Suppose that f is a linear function with slope -2 and that f(1) = 6. Find the equation for f. (Use x…

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Q: 2 i) [x² ( x + ²7 - 2²/1) dx x i) Ï 0 x³ - 8 x-2 dx ii) ii) f (x³ + 3x² + 1) e-2x dx xe xe1+x dx

A: Given:   i) ∫x3x+2x-1x2dx Expand   =∫x4+2x2-xdx Apply linearity     =∫x4dx+∫2x2dx-∫xdx

Q: 1. Using a compound angle formula, demonstrate that sin is equivalent to 2π 3 sin π 3

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: Topic - Extremas of the function

Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine…

A: Given data:- Volume of brine solution, Vo=50 gal Containing salt, a=2 At t=0 any Brine solution…

Q: 12. Find the radius and interval of convergence of the power series ∞ n=1 (x-4)" √√3n

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Q: 4. A cannonball of mass 1kg is shot vertically upward from the top of a building with an unknown…

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Q: If f(t) = 2 - 9t cos t find f'(0).

A: Given :ft=2-9tcost

Q: Evaluate the following integral: LLC (2x+4y)dydx

A: Evaluate the integral.

Q: Evaluate the following integral: 2x 3xy SS²*13 (2y)dzdydx x

A: A detailed solution is given below       We know that ∫xn dx =  xn+1n+1

Q: Find f'(x) and f'(c). f'(x) = f'(c) = Function f(x) = x cos(x) Value of c C= I 3

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Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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Q: Find a bound for the error when approximating the series Round your answer to six decimal places.…

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