π A region in the first quadrant is bounded by the curve y = 1+ sin²x, the coordinate axes and the line x==₁ 2 D The area of this region may be represented as Area =[Ax+Bsin (Cx)]. what is the value of 2A-5BC π A 16 B C D π π 11 π

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A: Cylindrical shell Method : If th eregion between the two curves y=f(x) and y=g(x) and f(x)≥g(x) is…

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A: Given; y''+4y=cos^2(x)

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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =

A: This question can be solved by applying the formula of T,N,B

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A: Topic :- geometry

Q: 1. Evaluate the given integral Q. ry+1 ry+z Q= 0 0 xyz² dx dz dy

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: Topic:- geometry

Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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A: Here we have to find the arc length.

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Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

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Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: Q2: The equation of the tangent line to the graph of y=1² and t = 4x² at t =lis (not that x is…

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Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: Given the function G(x)=√x² - 4, G(x - 1) = √x² 2x 3 x² 3 x²+2x-3 x²-3 O

A: Solution is done in step 2

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Q: Express the Cartesian coordinates (0, 4) as polar coordinates. (4.7) 0( ) 3개 01.2) 아이플)

A: From cartesian to polar coordinate we the following formula x=rcosθ   and y=rsinθthen we get…

Q: 'Q/ find the vector whose length =5 and its direction (600) with x axis 53 = 1+ j,v=i+ الخيار رقم 1…

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Q: Q4: Let y = √r and t = x² then y(") = 0 if n=

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Q: Q4: Let y = √r and 1= x² then y) = Oifn= t= a) 2 b) 3 c) 4 d)5 e) others

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Q: 9. Find the interval of convergence of the series n=1 5" (x-3)" √√n

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

A: Basic identities of integration are used

Q: = 3. Let R be the region bounded by y = √x and y 2. Find the volume of the solid generated when R is…

A: Washer Method : Suppose that the f(x) and g(x) are continuous and non-negative function on a,b and…

Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

A: exponential function

Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: and A solid is generated by rotating a plane region that is bounded by the curves y = 2² = y about…

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Q: -1 L 1 s2 + 2s

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Q: Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6…

A: To find the determinant of the given matrix A.

Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: 1-x² 1-x 10 f(x, y, z) dy dz dx

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Q: 1 Find the volume generated when the area bounded by y=√√x and y=-x is rotated around the x-axis 2…

A: The region bounded by y=x and y=12x is rotated about the x-axis.

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A: Here we have to find the left sum of given function.

Q: Find the area bounded by the curve r = 2 - cos 0.

A: The equation of curve is given as , r=2-cosθ Find the area bounded by the curve.

Q: 5TT Convert the polar coordinate 9, 3 X = y = to Cartesian coordinates.

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Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(n) = 0 if n= d)5 e) others

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