5. y² = У X x-1

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: y" − 3y' + 2y = 4e²t ; y(0) = −3, y '(0) = 5 —e2t4e2t + et 7 7 (1+t)4e²t - 7et 8e2t - 7et -e²t 4te²t…

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Q: of Let f (x, y) = tanh-¹(x-y) with x=e" and y= usinh (t). Then the value of dt (u,t) =(4, In 2) is…

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Q: 1- f(t) = 2t³; 3–f(t)=sinh(2t); 5-cosh (t) sin(2t);

A: Given :1. f(t)=2t33. f(t)=sinh(2t)5. cosh(t).sin(2t)

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

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Q: The region is bounded by y = x³, y = 2x + 4 and y = -1. Then Area region = [ f(x) dx + √ [*g(x) dx…

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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: The graph of r cos 0 + 4 = 0 is symmetric with respect to the no symmetry Oy-axis x-axis O origin

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

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Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

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Q: Evaluate the following double integral over the given region R. 2 ln(x + 1) (x+1)y Use integration…

A: The objective of the question is evaluate the definite double integral.

Q: For the following homogeneous differential equation, given that y1(x) = ex is a solution, 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: Let y = √x . Then dx is:

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Q: create 2 sample word problems of chain rule of differentiation  with solutions

A: Solution:

Q: 2. Je²w cos (w) dw

A: As per the company's guidelines, we are supposed to answer only first question, kindly repost the…

Q: y 4. Find the volume of solid of revolution by rotating y = √√x-2 and x = 10 about the y-axis.

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Q: * (ارفق الاجابة) The eigen value of matrix 1 -1 O 1+i, 1-i O 1+i, 1+i O 1,-1 11 1-i, 1-i

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Q: What type of limacon is the graph of the polar equation given by r = √3+ cos 0? O Limacon with a…

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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: 2. Using your calculator, determine how many solutions the system has. Then without a calculator,…

A: This question is based on solution of Polar function.

Q: 5. The region is bounded by y = x³, y = 2x + 4 and y = -1. Then, Area region = [*f(x) dx + [[g(x)…

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Q: Solve the following boundary value problem using finite difference method given that…

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

A: Using shell method, given format is obtained.

Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…

Q: Consider the ODE: dy xtan (7) + y dx a. Show that the ODE is a homogeneous first-order ODE. b. Solve…

A: The given differential equation is;  xdy/dx =xtan(y/x) +y.

Q: (Inverse Trigo, Higher Order Derivati Directions: Find the derivative of the following fu 1. f(x) =…

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Q: -3x² 2(T T + 10 25)

A: Follow the procedure given below.

Q: Consider the spherical equation given by p = 4 cos sin p. Determine its corre- sponding equation in…

A: Given

Q: The height and radius, respectively, of a cylindrical tank is 5 m and 2 m. If the tank is full of…

A: Given

Q: May 23, 8:36:52 AM A particle moves along the x-axis so that its velocity at time 0 < t < 18 is…

A: The coordinates are in form (t, v(t) )  The three inflection points are (8, -2), (10, 0) and (12, 2)…

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

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Q: INSTRUCTION: Please box your final answer. Find the Laplace transform of the following: 1. y" + 2y'…

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Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: 5x+√x 3.y=(x²+1)² 4. Using y = 5x + 3x² + 1, find all the derivatives and evaluate f"(2) f(3) (-2).…

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Q: (π/4 sec4x dx

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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: 2x² 3x²-5x (a)y=-

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Q: b- dy +2y=0; y=1 at t=0, y(0)=1 dt

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Q: dt dx dt -2x=4; where x(0) = 1

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Q: e-"-3y +2y=12e; where y'(0)=6, (0)=2

A: We need to solve D.E.

Q: The value of x for which the series OA2<x<4. OB. 2<x<3 or 3 < x≤ 4. OC2<x<3 or 3 <x<4. OD. x<2 or…

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Q: Given the general solution for nonhomogeneous equation with constant coefficient is y(x) = y(x) + y…

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Q: 5fe* (e-2x)dx.

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Q: Evaluate the limit using L'Hopital's rule. Answer should be expressed as a numerical value, with TWO…

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Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

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Q: S x cos √x² +4 V √x² + 4 dx

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Q: Find dy/dx by Implicit Differentiation 2xy³ – x²y = 2

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Q: Question 1 If A = {x+|x-1| : x € R}, then which of ONE the following statements is TRUE? O A. inf A…

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Q: Which of the following integrals represents the area enclosed by the smaller loop of the graph of r…

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