Integrate the following using Partial Fractions. x dx 1. S x2-3x-4 dr (x²-4)² 2. S

Q: Determine the area bounded by f(x)=x2-x and x-axis. A — -unit² 2 B Ⓒ с D 16 unit² -unit² -unit²

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Q: (a) dy Given 4 sin 3x + 2exy = (2x + y)³, find dx'

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Q: Question 7 In evaluating 4 2 dx X√√x²-4 s-¹(f(x)). Determine the value of f(x) if x=0.35 is same as…

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Q: Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: y'+xy=xy^3 Solve for the solution What is the integrating factor? What is the dependent variable?

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Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.

Q: 26. (2xy2-3x²)dx + (x² + 2y)dy = 0 A. Exact B. Not Exact

A: As, the student has posted multiple questions but we can solve one question at a time according to…

Q: Evaluate the triple integral: A) 18 B) 24 C) 12 D) 6 3 2 S²³² S²(x+y+z)dydxdz 0

A: We have to find the value of given integral

Q: 3. Look at the figure below. Find the value of x and the measure of each angle. n 1.x = 2.42 = 3.26…

A: We know that alternative interior angles are same Therefore 5x-14=3x+18 Subtract 3x+18 from both…

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

A: Given:      fx=x-13       gx=x-1 Volume of solid generated by revolving around the region is…

Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and g(x) =…

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Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

Q: (D5+ D4-7D³ - 11D²8D-12)y = 0

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Q: Determine the area bounded by the functions f(x) = (x + 1)³ and 1 A -unit² 3 B -unit² 3 -unit² 4 1…

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Q: Q3/ Find a volume for the region bounded 4/X and Y = (X-3)² about the x-axis.

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Q: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

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Q: A solution of a differential equation free from arbitrary constants obtained from the general…

A: The complete Solution of an Ordinary differential equation is composed of a general solution and a…

Q: Transforming S dx secx + 1 using miscellaneous substitution

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Q: dx Transforming S using miscellaneous substitu secx + 1 A S²= 2-2z² -dz 1+z² 1+z² B 1-z² 1-z² © √ 1…

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Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

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Q: Evaluate [C sin(x + y)dxdy. Answer: 0

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and g(x) =…

A: Given that , fx=x2+1 and gx=-x2+2x+5 find the volume of solid generated by revolving the region…

Q: Sx [x²cox dx U. V x² Sax - S(α (x²) [ cond) dx dx x² (sinx) - -S 2x Sinx dx U. V. x² sinx - [2x…

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Q: A population of bacteria B has a growth rate proportional to B itself. If between 12:00 nn and 2:00…

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Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

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Q: A If B C √ √ √(x + 1) dx (x+2)(x-1)² = √ [1+²+ = -1 + (-1²) x 2 (x−1)2 ]dx dx, the values of A & C…

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Q: xdx (x+122

A: The objective of the question is evaluate the indefinite integral.

Q: z = xey + yex, Find əz əz дх'ду

A: Given: z=xey+yex To find : ∂z∂x,∂z∂y For ∂z∂x, we have to do the partial differentiation of z with…

Q: * The evaluation of So So x y ex² dxdy is 0.25 e - 0.5 0.25 e - 0.25 None of them

A: The objective is to evaluate the double integral.

Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 83л A -unit 3 125 43л 135 43л 125 83л…

A: Let's find volume of resulting solid.

Q: 2. Find the general solution of xdy + (3xy + y - e-3x) dx = 0

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Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s. How fast does the tip of…

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Q: Lim (112²x - 21²) (sin²x x-0

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

Q: дz дz Givenz = xey +yex, Find дх’ду

A: in partial differentiation , other variable is considered as constant when function is…

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: Find the volume of solid generated by revolving the region bounded by f(x)= x² + 1and…

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Q: Evaluate the following iterated integral: for-y |x - y dx dy. Answer: 1/3

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Q: Find the volume of solid generated by revolving the region bounded by f(x) = x² + 1and…

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Q: evaluate the limit and simplify. Complete solution.

A: Evaluating the limit

Q: B/Find the oblique asymptote of the function f(x) -3x²+2

A: The function is f(x)=-3x2+2x-1

Q: 6. Find a²z дгу of z = In(xy)

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Q: Determine the 3rd derivative of the given function f(x) = (3x² - 5x + 6)4.

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Q: Which of the following can be determined given A √ ² (f(x) + g(x) + h(x)) dx 4 ® [ g(x) dx ©…

A: We have given the Integration values of function f(x),g(x) and h(x) on a certain interval. We want…

Q: Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u…

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Q: A car is travelling at the rate of 88 ft/sec when the brakes are applied. The car begins to…

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Q: Given the integral secº (x - 1) tan* (x − 1)dx, which of the following equations will be useful for…

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Q: Z ек у -4x Find any ду az ах

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Q: lim (e²x + 2) 8118

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Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: 1. S In(x+2) 2x+4 dx

A: Given,∫lnx+22x+4dx