Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters method y" - y' e cosx

Q: Let F and G be vector-valued functions such that F(1) = (1,0, 2), Ģ(1) = (2,1,3), Find (Go ƒ)'(0) +…

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Q: Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal, not…

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Q: The radius of convergence of the series Place) (-1)" (n!) 0 3-6-9. (3n) (2x-1)" is equal to…

A: To find the radius of convergence of the given series.

Q: Find the area under the graph off over the interval [1,4]. x+7, for x ≤2 f(x) = 11-x, for x>2 The…

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Q: n! Consider the series 2n! + 1 n=1 OA The series diverges. OB. None of the choices in this list. OC.…

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Q: 5.Find the area of the region bounded by y-8/x, y=2x and x=5.

A: Graph :

Q: IV.Sketch the ff. curves: Find all its properties. X 1. y= In x

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Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x<2 or 4<x. C. 2<x<3 or 3<x ≤ 4. D. 2<x<4.…

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Q: dy Find dif: y = ln(x + √² + a² O a √2+²+² O b. √ О с. √√2²+0² O d. none of these O e √√zta

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Q: A B 25/sin² 5 (sec 0 - cos 0) d )* Which of the following is equal to S; x² +25 dx ?

A: The given integral is x2/sqrt(x2+25).

Q: A light is placed on the ground 30 ft from a building. A man 6 ft tall walks from the light toward…

A: This question is based on application of derivative.

Q: The region is bounded by y = x³, y = 2x + 4 and y = −1. The y - coordinate of the centroid of the…

A: Let's compute value of given a+b+c+d-4f(2)/g(2).

Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

Q: Find the least and greatest distances from the origin to a point on the ellipse x²+4y²=16.

A: Topic:- geometry

Q: W=-Si ; V=1-2i, W=-3-6i , U-3V+ 2W, UV, UVW, : Given U= 4-2i ; V= 3-4i atib= (utiv)w, find a ad b.…

A: Here is the solution:

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Solution is here

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

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Q: 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 6-f(t)=cos't-

A: Answer highlighted 3 questions(2,4,6)

Q: D. Graph each of the given functions and solve for the area of the region that they enclose. 2. cap…

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Q: The sides of a square carpet is measured at 4 ft. Estimate using the Linear Approximation the…

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Q: 1 n³(x-3)" The value of x for which the series - A2<x<3 or 3<x<4. B.2<x<3 or 3<x≤ 4. C.2<x<4. D.…

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Q: Using √√x + 1 √x-1 express the final answer in terms of X. Substitution Rationalizing dx = y² + 4y+…

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Q: 1. If find the value of a. L²Lke + (x + 2y)dydr = 10, a

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Q: Consider the region on the 1st quadrant bounded by y = √4x², x and y- axes. If the region is…

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Q: Let f (a, b, c) = cos (ab) + sin (b) + c where f ¹ ((1/5,²)) af 1 T Evaluate да 23 π T√3 12 3 Option…

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

Q: + d²z Oy2 = 0;

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Q: x^2 - 5x + 8 is equal to • 4(2x-5)^2+7 O 2(x - 5)^2-6 O (x-5)^2-9 none of the choices टट

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Q: The directional derivative of f(x,y,z) = In 1+yz from P to Q(-1,-1,2) is given by .... .(Correct to…

A: Given :f(x,y,z)=lnx21+yz-3xz2

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x r sin 0 = y |× y…

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Q: f(t)=sin(-t)- f(t)=1-cos(wt). soo.(10){SI=(1)f

A: We have to find Laplace Transform of given function.

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: A light shines from the top of a pole 15 m high. A ball is dropped from the same height from a point…

A: solution is here

Q: Find the first three derivatives of the function h(x) = 3 + 4x³ −3+7

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Q: Part II f(x)=x² A. g(x)=(x-3)² f(x)=x² B. g(x)=(x+3)² p(x)=(x-3)² +5 p(x) = (x+3)² +5 f(x)=x²…

A: We need to find vertex. As per Bartleby's guidelines we can solve only one part. Please upload other…

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

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Q: The domain and the range of z=cos-¹(x²-y-3). are represented respectively by O A. ¨D={(x,y) = RxR :…

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Q: The graph, when the curve y=√(3+ x^2) from x = 0 to x = 4 is rotated about x - axis is O. O O ...…

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Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: Let W be the set of all 1st degree polynomials (or less) such that p-p^2. Which statement is TRUE…

A: Given W the set of all ist degree polynomials such that           p=p2  Let p= 1  ⇒12= 1  Thus p=p2…

Q: 6. f(x)= (3x4 - 4x³ + 7x)5

A: As per our guidelines we are supposed to answer only one question at a time. So i am solving the…

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

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Q: Suppose sec(0) = 3 and the terminal side of 0 does not lie on the first quadrant. What is the value…

A: Given sec(theta) = 3 and (theta) is not in the first quadrant. We know that sec(theta) is +ve when…

Q: Evaluate the following definite integrals. Note: Final answer should be expressed as a decimal, not…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Find fy for the function f (x, y) = yx³ – 2x²y³ y - y³ x³ - 6x²y² Option 3 y - 6xy² 3 _ 2xy® -…

A: Topic:- application of derivatives

Q: Hwy find the integration 3 Se vadv V 1-

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Q: The value of x for which the series A. 2<x<3 or 3<x<4. B. x <2 or 4<x. C. None of the choices in…

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Q: Use the equation to name each of the characteristics listed. Make sure to use proper notation and…

A: Let's find given all characteristics of function.

Q: Part III: Equation Conversions 4 1. Convert r= into a rectangular equation. 2-sine 2. Convert 2x -…

A: Topic:-  polar and rectangular coordinate system

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: Given f and g are continuous functions and f(x) dx = -3 and g(x) dx = 5. What is [3f(x) + 2g(x)] dx…

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