The integrand of the definite integral is a difference of two functions. Sketch the graph of each function and shade the region whose area is rep [(32-2²) - (2²)] de O 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties. «

Q: [x² - y² If f(x,y)=2x-2y m if y = x if y=x then:

A: Given the function,   fx,y=x4-y42x-2yif y≠xmif y=x

Q: Please help me understand and the steps taken in the process. Thank you Given Find the following. a)…

A: Given: fx,y=x3y2-3xyWe need to find a) fxb) fy

Q: f (x-2)(x+1)' dx

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Q: 1 . Find the arc length for y = √√2-x² for 0 ≤ x ≤ √√2. Check your answer by noting that the curve…

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Q: Find the value of the limit lim 01 0 0 O DNE x3 x+0 x³ + x2 < Previous

A: On solving this we will get

Q: Determine the area of the shaded region given in the following figure. The area of the given figure…

A: We have to find the area

Q: Refer to the graph of function f below? What is the lim f(x)? x-2+ -10 -5 10 -5- 0 -5- -10 5 10

A: From the given graph, we have to find the value of limx→2+fx

Q: Express the integrand as a sum of partial fractions and evaluate the integral. x+2 x² + 3x-4 Express…

A: Here we have to find the partial fraction

Q: Find lim lim h-0 h→0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +4. (Simplify your answer.)

A:

Q: 3. f Arctany dy 4. fx(2x - 1)'dx 5. fycsc²ycoty dy 6. fxsin4xcos4x dx

A: The given integrals are;  5) y csc2y coty 6) x sin4x cos4x.

Q: f(x) = 0 x = 0. At what value of x is the function given above, discontinuous? Ox=3 x+2 x² −1 8…

A: We need to choose correct option.

Q: (iii) Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Let f(x) = 5x²-29x-6 x² +19x 150 (A) lim f(x) X-6 Find the indicated quantities, if they exist. (B)…

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Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Which of the following statements is FALSE? O If the tangent line of a curve at a point is is a…

A: If the tangent line of a curve at a point is vertical line then its slope is infinite.

Q: Calculate S3, S4 and S5 and then find the sum of the following telescoping series. S = - Σ( 41-4₂)…

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Q: Evaluate the following integrals. 1. ft³ cost dt 2. f x² e-x dx

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Q: Find f'(x) if f(x) = 9x x7/5 – 5x2 + 10000. O A. f'(x) = 632/5 - 10x 5 OB. f'(x) = 63, 6/5 - 10x 5 O…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Use the method of undetermined coefficients to solve the initial value problem. 33 y ==cos2t 10 33…

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Q: The radius of a sphere is decreasing at a rate of 1/4 cm/s. At what rate is the volume decreasing if…

A: The radius of a sphere is decreasing at a rate of 14cm/s.The radius is 2cm.

Q: Question 47 The graph of y = x - 2³ has a point of inflection at x =? 0 and 3/2 O only 0 and 1 O1…

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Q: 3. Arctany dy

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Q: Find the 4th degree Taylor Series Polynomial for the function f(x) = ex centered at c=3.

A: The function f(x)=ex centered at c=3

Q: Evaluate the line integral [x(1 с where C is given by the line r(t) = (1 + 3t, 2t), 0≤ t ≤ 1. x(1 +…

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Q: Which of the following indicates that the graph of the function f(x)has a horizontal asymptote at y…

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Q: If x = f(u) and v= g(x), what is du dr dx du ○ f'(u)g'(x) ○ f'(u) + g(x) O dv dx + dx du dv du by…

A:

Q: 10. Find the limit (if it exists) of the sequence (x_n) where x_n= cos(n)/n.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 2. Evaluate J dx (cos³x sin³x)

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Q: = The x-coordinate of the point of inflection on the graph of y 5 0 10 3 - 3+5 +2

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Q: 5 CH 10.3 Class Determine whether the conversand arguil Exeresse I > + Σ following Series divergend.…

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Q: f(x)=1/(1-2x); 1.09-1

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Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5149 and 70 golf clubs per…

A:

Q: 21. a. e x = sec sin z sin z) (e sin b. Ve Cos 2sinz 1 U e sin z COS d. cos x √1-e2sinz

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Q: Find the area of the given region using any method. y 1 49 - x² y

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Q: At value of a does the curve y = 2√4x2+1 have a tangent line with a slope of 2? O √12 00 O /12 O…

A: To find the slop at given point.

Q: Question 38 dy Given that y = (1 + tan(2x))^, then dx 8(1 + tan(2x))³ sec² (2x) O4(1 + tan(2x))³…

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Q: Which one is a suitable substitution for the following integral? S -x²+4 x ○ x = 2 sec(t) O x = 4…

A: According to question,Given Integral,Let I = ∫-x2 + 4x dx

Q: Find the largest open intervals where the function f(x) = O (-∞, -1), (-1, ∞) O (-∞, -1) none O…

A: We have to find the largest subset where function concave upward

Q: The integral is improper. Select one: O True O False 9 -| x - 1 -dx

A: The given integral is 1/(x-1), limit from 1 to 9.

Q: The parametric equations of the line that passes through A(-3,5,9) and B(-4,-7,2) is: x=-3-t,…

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Q: Let f(x)= 4x²-19x-5 x² +11x-80 (A) lim f(x) X-5 Find the indicated quantities, if they exist. (B)…

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Q: 18 (x² +9) (x+3) -dx

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Q: Given F(x) below, find F'(x). Provide your answer below: F'(x) = = [₁²₁ F(x) = In (61-3) dt

A: Solution :Leibniz integral formula.ddx∫gxhxftdt=h'xfhx-g'xfgxFx=∫6xln6t-3dtF'x=dxdxln6x-3-d6dxln66-3

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: This question can be solved using the concept of point of inflection.

Q: 11. Determine whether the given quadratic function has a maximum value or a minimum value, and then…

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Q: Use the four-step process to find f'(x), and then find f'(1), f'(2), and f'(3). f(x) = 4+7√√x f'(x)…

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Q: y" - 3y' = 8e^(3x) + 4sin(x)

A: The given differential equation is;  y''-3y'=8e3x+4sinx.

Q: 1 好好 0

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Q: Find a parametrization r(t,s) for the plane which contains the point P(-9, 7, 1) and the line…

A: Use plane concept

Q: For f(x) = 3x4-12x³ + 2 find the following. (A) f'(x) (B) The slope of the graph of fat x = -2 (C)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…