Solve the integral: A B D 3√√√x² +C 6√x +C + C 6 √x 3 3√x dx

Q: d^2B(u)/du^2 ,but where B(u)= 1/(1+u)^7

A: Given B(u)=1(1+u)7To find d2[Bu]du2:

Q: Find 2 numbers whose sum is 23 and whose product is a maximum.

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Q: Question 1 S A - -/-/- B If (0 dx (0+2)(x-1)² 12 93 -ja 12 3 - I 3 B -S[ = √( 14+2+ = -1 (1-12 4 +…

A: We can solve this as follows:

Q: Why does dA/dt = 0?

A: Since area is constant therefore dA/dt=0

Q: Evaluate the integral by interpreting it in terms of areas: (2) [+ |x|dx (1) L₂ (3+√4-2²) dx

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Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

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Q: 10. y (e-3x+4 +2)/(e2+3x +1)

A: The given function is ; y=(e-3x+4+2)/(e2+3x+1).

Q: -JIL e √x² + y² dv, where E is the region that lies inside the cylinder x² + y² = 4 and between the…

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Q: 3x² dx

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Q: Fiind a33 of an arithmetic sequence if the common difference is -1 and a1=3

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Q: The rates of change in population for two cities are P'(t) = 42 for Alphaville and Q'(t) = 105 0.04…

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Q: A farmer wants to fence a rectangular field with an area of 1.5 million ft2. Then he will divide it…

A: Given:             Area of rectangular field A=x·y                                        1.5×106=xy…

Q: antiderivatives does a function of the form f(x)=x" have when n*O? may vary depending on n How many…

A: Formula: Antiderivative of xn = xn+1/n+1

Q: 4 3 a 2b0 Matrix A is defined as A = 9). where a, b, c E R. If A = A-¹, C 0 1 then find the value of…

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Q: Determine the area bounded by f(x)=x²-x and x-axis. 2 A unitz Ⓡunit² unit2 1 D 4 -unit²

A: We will integrate the f(x) between limits 0 to 1.

Q: Find the area bounded by : f(x)=e*, g(x)=e* and x=3.

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Q: R is the region bounded by the functions f(x) = 1 - 3 cos (x) and g(x) = 4 sin (x). Find the area of…

A: Ans : A=12 unit2

Q: What equation is equivalent to * x² + y² - 8x + 2y = 8? (x-4)² + (y- 1)² = 25 (x - 1)² + (y-4)² = 25…

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Q: 1-x √x dx

A: We have to solve the integral

Q: * Integral use to solve if series converges or diverges, give example if true or false

A: It is true that the integral is used to solve if the series converges or diverges. The method is…

Q: U 4. Let f(x, y) = ey, where x = uv, y = a) Use chain rule to compute and af af Əv ди b) Express…

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Q: y = e ²₁ y = 1, x = 2; about y = 2

A: the solve volume

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: Solve for x using Newton-Raphson Method: ex-x=0. Use xo= 0 as initial guess.

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Q: S dx √4x² - 49 x > 72

A: In order to integrate easily certain assumptions need to be made by using some variables.

Q: Put the given function into vertex form. Fill in the blanks to complete the function below.…

A: The vertex form of a quadratic equation is y = a(x-h)2 +k

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A: Given problem:- Find parametric equations for the line tangent to the curve of intersection of the…

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find the profit function and average.

Q: E Homework: More Practice (May 20, 2022) olve the following autonomous differential equation with…

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Q: Evaluate [*²*3 sin 2x dx

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Q: II. Let F(x)= ecosh z √x+1 1. Find F(0). 2. Find F'(x). sin(1-t) dt.

A: Let Fx=∫x+1cosh x sin1-t dt.1 To find F0.2 To find F'x.

Q: dx x²√x² + 1 2 18. 1

A: Use substitution method for solving this integral.

Q: (+X (x2) (x+2) dx = 특미지 2x tc

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Q: Evaluate (2a³y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices.…

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Q: Given the following characteristics, select the function family that is described. Shape: single…

A: We need to select the curve which describe above charecteristics÷ Linear Linear graph has single…

Q: In evaluating 5 3 Add your answer dx is same as evaluating lim (In(f(x))). Determine the value of…

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Q: 16. J x² 4 + x² dx

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Q: If g(x) = d __*[e' - In(2t+1)]dt, find g''(x) . dx -2

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Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: 12-f(t)= -31 e-³¹ sin 2t t

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Q: x² 29. Evaluate the double integral JJ dA, where R is the + 25 9 R elliptical region whose boundary…

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Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

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Q: |x-4|dx

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Q: Find the volume of the indicated solid i) under 2x − 3y + z = 6 and above the rectangle R = {(x,…

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Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: Evaluate the limit : lim √x+1-2 X-3 x²-9

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Q: In evaluating 5 dx is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.67. x²-g…

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Q: Find the area bounded by : f (x)=e*, g(x) = e¯* and x = 3. A (e²+ 1)² e² sq. units (e³+ 1)² B e3 (C)…

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Q: hich of the following represents the volume of the solid generated by revolving the region bounded…

A: Let's find volume of two curves rotating about x axis.

Q: 1 H 0 1 2 3 4 5 6 What are the domain and range of its inverse? O Domain: {y|1 ≤ y ≤5, ye R} and…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. The…