Evaluate the integral: A B C D 16 1 "Im =|m 1 7/6 دان داww 3 sin(3x)cos(3x) dx

Q: Using the graph of f(a), what is the lim, f(s)? 2 00 O -1.5 8 "00

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Q: 12-f(t)= -31 e-³¹ sin 2t t

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Q: Find the value of k such that the perpendicular distance of the point (2,k) from the line x - 2y =…

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Q: 3 •√₁²³f(x)dx=5₁ ₁²9(x) g(x) dx = 7, and 1 3 h(x) dx = -5 Which of the following can be determined…

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Q: That statement "We can use the General Power Formula of Integration for indefinite integrals…

A: Option C is correct option

Q: Verify that 2²4 ахду 22+ ду ах - for f(x, y) = 2x³y6 - 4x5y4.

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Q: Evaluate [*²*3 sin 2x dx

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Q: Find the area of the region bounded by x²y = 1, y = x and y = 4.

A: To find the area of the region bounded by x2y=1, y=x and x=4.

Q: When calculating the integral shown, using trigonometric substitution method with 6x sen(B) = in the…

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Q: Find the work done by the force field F(x, y) = x sin(y)i + yj on a particle that moves along the…

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Q: J (u-2) (u+3) du

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Q: lim x-2 x²+2x-8 x-2

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Q: 1. In the right triangle ABC, AB= 2, BC = 4 and ED is a line parallel to AB. Find the angle a =…

A: We have to find the angle α.

Q: In S₁² = 10 A (1,00) B (-∞0,00) c) (-∞,1] D {0,1} Given -dx, determine all value/values of P for…

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

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Q: Question Find the average value of f(x) = -3 cot (x) csc (x) + 1 over the interval [3 Submit an…

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Q: Solve the integral: Seln(2x² + 3x − 4)³ (4x + 3) dx

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Q: Solve the int B ²+3x-4)³ (4x+3)dx integral: Seln (2x² + 3 eln(2x²+3x-4)³ + C (2x²+3x-4) (-4)³² (4x +…

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Q: Determine the graph of g = x^2 + sqrt of (x + 1) and solve for its extrema, concavity, and points of…

A: Please see the below picture for detailed solution.

Q: 4x² + 4y² = 4y - 8x + 5?

A: equation can be written as 4x2+4y2-4y+8x-5=0 ⇒x2+y2-y+2x-54=0 Recall: if the general circle equation…

Q: A lighthouse is on an island 350 meters east of the shore of Lake Bella. The lighthouse beam makes a…

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Q: Please answer

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Q: Consider the functions z = 6 ex In y, x= In (u cos v), and y = u sin v. əz əz (a) Express and du as…

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

A: Given, ∫ 9/√(x2+6x-7) dx We can calculate using substitute method

Q: Numerical Integration: 2 1 1. 2. =dx X 5 (2x² – 3x) dx 0 2

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Q: HW.1 X y 58 Find y. (10) for the following data in the below table. 6 9 14 17 10

A: We will use Lagrange's Interpolating polynomial to find y10.

Q: 8.) y' = x-y+5 x+y-l

A: To solve the differential equation.

Q: A box with a square base and open top must have a volume of 171500 cm³. We wish to find the…

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Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Given problem:- If a horizontal element is used to find the area bounded by y=√x, x=4 and the…

Q: COS (+3 O cos x Ocos 2x O sin a Ocos z +x) + cos (-) is equivalent to:

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Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: √²² (3x² +9y²) dxdy Evaluate the double integral: (A) 40 (B) 80 Ⓒ30 (D) 60

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Q: Verify that * / II 21 ?х ду 224 ду ох - for f(x, y) = 4x4y3 - 6xy5.

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Q: S sec (x-1) tan4 (x - 1)dx, which of the following equations will be useful for 1 + cos2u cos²u= 2…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: V=4πr3/3 dr/dt = 0.1 cm/min dV/dt =?   dV/dt = 4πr2(dr/dt)   dV/dt = 4(3.14)(9)2(0.1) dV/dt = 101.73…

Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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Q: 2 2) x² + y² - 16x + 18y + 96 = U 0 4) x² + y² + 28x + 28y +376 = 0 2 6) x² + y² - 16x-20y+128 = 0 0…

A: Solution is here

Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

Q: Use Lagrange multipliers to find a relative minimum function value of fif f(x,y,z)= x² + y²+ z² with…

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Q: Estimate the slope of the line given to the right. Select the correct choice below and, if…

A: slope of line = (y2 -y1)/(x2 -x1 ) here y2 = 5 y1 = 0         x2 = 1    x1 = 0 slope = (5-0)/(1-0)…

Q: In 1950, there were 238,681 immigrants admitted to a country. In 2001, the number was 1,042,425. a.…

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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 (C)…

A: To find the area bounded by curves

Q: Give the domain and range. Then, use the graph to find (a) f(-2). (b) f(0), (c) f Ay 40 & M 2 X and…

A: Answer: The solution is given below:

Q: A balloon is released fromthe ground 100 meters from an observer.The balloon rises directly upward…

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Q: What is the slope of the line passing through the points M (m,O) and N (n.0) with m #n? O 1 Oo m-n…

A: slope=? M(m,0) and N(n,0) M(x1,y1) and N(x2,y2)

Q: (3x + 5) dx 3 2 x³ -x²-x+1

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Q: f(x) = 4x² 8x +3 - x²+x-12

A: The given function is f(x)=4x2-8x+3x2+x-12

Q: dy 53.x = dx Vx2 -4, x = 2,y(2) = 0

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Q: 3. Evaluate the integral: (1) (u-2)(+3) du @[²7/1 dx (3) rπ/3 cscxcotxdx

A: topic- definite integral

Q: Question Find the volume of the solid whose base is a circle with radius 25 that has cross-sections…

A: Solution: