Evaluate the integral (1+lnx)5/ x dx from 1 to e.    Find the indefinite integral: sin(x) (cos(x))5 dx

Q: B.    Find the DE of each of the following by eliminating arbitrary constants               1.…

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Q: if f(x) = x + 5*. find the derivative of this function f'( A. f'(x) = 5* In 5

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Q: Solve the following differential equation x² (y² +3) = 0 y(x³ +1) dy 3. + dx 4. xdx e-x + (y+1)dy =…

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A: Given thatRegion bounded by y=x28 , y=3xx=1 and x=3Using cylindrical shell mathod…

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Q: Question Define Ras the region bounded by the functions f(x) = x + 1 and g(x) = 1 between x = 1 and…

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Q: Ső 1 x²+7x+10 dx

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Q: Find the percent of increase or decrease to the nearest whole percent.  $8.00; $10.00

A: Percent of increase of a value= (new value - old value)*100/old value

Q: QI complet the table: X f(x) 1 2.71828 L2(x) = LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-92) (X-X₁/(x-x2…

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Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.

Q: D. using quadratic formula. 1. x2 + 5x = 14 2. 2x² +8x - 10= 0 3. 2x² + 3x = 27

A: Topic = Quadratic equations

Q: 6. Write the following power functions in the form f(x) = kx² a. f(x) = -³/3 x3 b. f(x) = ³² c.…

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Q: A. Complete the table below Given 1. 2x - 3x² = 5 2. 4 – x2 = 5x 3. (2x + 5)(x-4) = 0 4. 2x(x - 1) =…

A: Standard form of the quadratic equation : ax2+bx+c =0 . Note : As per our Guidelines we can solve…

Q: Solve the Differential Equations. 4. f(x,y) x² + 3xy x-2y

A: Let's find function homogeneity.

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Q: Discuss the continuity of the function. (Enter your answers as a comma-separated x²-9 x + 3 f(x) = f…

A: Topic:- calculus    Definition:-  A discontinuous function is a function in algebra that has a point…

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Q: Evaluate the integral t3etdt

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Q: (C) Find the domain and range of: 1) y = x+1 . 2)y=v1-x²,3)y = x² - 2

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Q: Use the spreadsheet to answer the following questions. B3 HNMes 1 A 47 37 94 76 60 Answer: x✓ fx 57…

A: Spreadsheet is given, we have to answer the required values.

Q: MOOrisdi MOO Tisdi scher 2. duty or gaiteanno f(x) + de eixe vilestion 29019 + 0 2 X 9709

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Q: Q8) (E.G.) Let ABCD be a cyclic quadrilateral and let O be the intersection of the rays AB and DC.…

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Q: Using the definition of a derivative, find s'(x) given s(x) = -x² - 2x + 3. Do not include s'(x) in…

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Q: if f(x) = %79.1 x²√In x² x -. find the derivative of this function f'(x) A. f'(x) = - 1 3:16 1-In x²…

A: The given function is; f(x)=x2 sqrt(ln x2)/x.

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Q: 4. 2y2 +8y - 10= 0

A: Given problem:- 4.   2y2+8y-10=0

Q: (2) S dx x²√9-x²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Compute the length of the curve r(t) = (−4t, 4t + 3, −8t + 8) over the interval 0≤t≤7 L =

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Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

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Q: lim x² = 0

A: We can prove the statement in the below steps.

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

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Q: А A = e sin xda

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Q: 3.44 3. Test for homogeneity f (x, y) tanx-sec²x - cosy

A: Question : Test for the homogeneity f(x, y) = tanx - sec²x - cosy

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A: To differentiate the given function.

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: 020) In H.G., if AABC~ AA'B'C' (similar)and AB-12, BC=14, AC=16. Then the perimeter of AA'B'C' is:…

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Q: Show the complete solutions. Family of circles centered at (h, k)

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

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