7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

Q: Given f(x)=4x+1 and g(x)= x²+x-3: Use the washer method to determine the volume of solid obtained by…

A: Let's find volume of solid by using washer method when given two curves rotated about x axis.

Q: 2. S(-18z +36)( - 2z - 4) dz

A: We need to evaluate the following integral ∫-18z+36-2z-4dz Formula Used: ∫zndz = zn+1n+1+C

Q: Given; √ √ tex dx 2 Applying rationalizing substitution, find dx in terms (A) z dz 2+z² 2 z dz B…

A: Given query is to find the dx in terms of dz.

Q: Solve the integral: Seln(2x² + 3x-4)³ (4x + 3)dx A eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) (2x²+3x+4)4 B…

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Q: .b if f is continuous on [a,b], and f(x) 20 then √VF(x) dx = f(x) dx T True F False

A: Topic: application of integration

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

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Q: Question 3 Iff is continuous on [a,b], then T True F False b then f(x)dx = f(x)dx T a

A: Here it is given that f is continuous on [a,b] From the integration we can take the constant value…

Q: y = Arctan (2x)

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

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Q: (D5+ D4-7D³ - 11D²8D-12)y = 0

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Q: Find the critical points of the function f(x) = x³ + ¹/5x² + 50x + 7. Use the First Derivative Test…

A: We have to find the maximum and minimum.

Q: Refer to the definite integral to answer the following questions: 4 [*(16-x²) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: --——-^*[e'-In(2t+1)]dt, find g'(x) . dx 4 A e*+ (2x + 1)² 4 B et + (2x + 1)² 2 (C) e*- - (2x + 1)²…

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

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

Q: Solve the following y" - 3y' + 2y = 2x2 + ex + 2xex + 4e3x -

A:

Q: 3. Use Use the disk method to determine the volume of the solid obtained by the revolving the region…

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Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: Determine the general parametric solution of the following unsolved differential equations for the…

A: See the details solution in below

Q: Solve the integral: S- ® in/1+x A) an 1 B_5n/1+x' 5 6 1 √√√x + x + C + C c dx

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Q: H.W // find the integral _1=√15 e-x³².dx. using 7. dx. using two and three points of Gaussian -1.5…

A: In numerical analysis, the Gaussian Quadrature method approximates the definite integral of a…

Q: 5. Find the volume of the tetrahedron bounded by the coordinate planes and the plane 3x + 6y + 4z -…

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

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Q: 2.2 5 (2x² – 3x) dx

A: We have to evaluate

Q: Using the linearity of the inverse Laplace transform, solve for the solution of the differential…

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Q: Write TRUE or FALSE before each statement. Solve+Q=4. independent variable. the above differential…

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Q: Find the absolute maximum and minimum values of the function, subject to the given constraints.…

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

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

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Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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

A:

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: 2. § (5z² - 7z + 3) dz from z = 2 to z = 1

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Q: x³√/x² + 1dx

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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: 4. Use the washer method to determine the volume of the solid obtained by the revolving the region…

A:

Q: The function is X 2 = y² What is 8²% მ2 Y x²

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Q: lim x²e-x x →∞

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Q: So x² dx √4-x²

A: To find out the integration.

Q: when the first nine terms of an arithmetic sequence is added. its sum is 72. what is the value of…

A: The fifth term will be ,a5=a+4d=8

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

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Q: Q2/ Find the first moment about y-axis of the region in the first quadrant bounded by the x-axis,…

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Q: y" - 3y' + 2y = 6

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Q: An equation of a hyperbola is given. (x+3)²-(y - 3)² - 1 9 16 (a) Find the center, vertices, foci,…

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Q: The length of a rectangle is given by 4t - 3 and its height is √2t, where t is time in seconds and…

A: The area of a rectangle with length L and height H is given by A=L×H. We use chain rule , power rule…

Q: 2 = xey + yex, Find x az z дх' ду

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Q: Find the area bounded by x2 = 4y + 4 and x = y = 2. Using vertical element, what is the integral…

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Q: Refer to the given function below to answer the following questions: dr 0 de 2 = COS-

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Q: Which of the following can be determined given f(x)dx=5, g(x)dx=7, and h(x)dx= -5 Ⓒ [²(f(x) + g(x) +…

A: Give∫13 f(x) dx = 5, ∫03g(x)dx=7, and ∫13h(x) dx = -5

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

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Q: S (2².1² (2x² – 3x) dx 2 2.

A: ∫252x2-3xdx