9. f(x) = (2x5-2x+2)/(x²-3)5

Q: ∞ Consider the series (-1)" Which ONE of the following statements is CORRECT? n=1 3" OA. The series…

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Q: Evaluate Limx→13 x²-1 O a. infinity 5 O b. 2 O C. 0 O d. none of these O e. 2²/33 25

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Q: answer

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Q: hello! Just a question, how are you sure that the given radius (2m) is on the top, not the base?…

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

A: Solution is here

Q: find the limit as x approaches to infinity (x-3 / x+1)^x/a

A: We need to evaluate the value of the following limit limx→∞x-3x+1xa Formula Used:  limx→∞1+mxx = em…

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: Which ONE of the following is NOT the critical point of the function f(x,y)=xye OA (-1,-1). B. None…

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Q: * If z = f (x, y); then its total differential can be expressed as дz dydz date - ( 7 ), v + ( ;) -…

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Q: Consider the vector-valued function In(2t + 1) sin t R(t) = î+ t t Redefine (t) such that it is…

A: we say the R(t)  is continuous at t=0  if limt→0 R→(t)= R(0)

Q: find the slope of the curve x = e^-tcost2t, y=e^-2tsin2t at the point t= 0

A: find out the slope of the curve at t=0

Q: f sin 3x cos 5x dx ¹29 sin 3x cos 5x + cos 3xsin 5x + C 16 sin 5xcos 5x + C O. 16 sin 3x cos 3x + O…

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Q: Find the solution of the following initial value problem d2y/dx2 + 2 dy/dx − 3y = 12ex ,  y = 0 and…

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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…

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Q: Draw the graph of y = 3x2 + 6x − 24 and label its minimum

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Q: Use polynomial long division to write 2x² + x³ 3x² + 4x-9 - = Q(x) + 1²+1 = p(x) 1²+1

A: To divide using the long division.

Q: find the surface area of the portion of the curve x²+y²=4 from x=0 to x=2 when it is revolved about…

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Q: Evaluate the following double integral over the given region R. JS Ta 4 ln(y + 1) (x + 1)(y + 1) dA…

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Q: Let L(r) be the linearization of f(x) = sin x + 1 at the point x = . Find L(π/2).

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Q: Given the function f(x, y, z) = x ln(1 - z) + and simplify your answers. a) fa b) fxz sin(x - 1) 2y…

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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: 2. The value of the integral in terms of u is? 2u³-21n|u³+1| + C 2u³-3u² +6u-6ln|u + 1| + C 6u+…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

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: if (1+2i) one of the root x ² (3-2) x +9=0 find another root and value of a ?

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Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

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Q: If R is the disc with center at the origin and radius 5 then the numerical value of [xdA is equal to…

A: Please follow the next step.

Q: 1. Consider a point in Cartesian coordinates given by (3√3, -3, -8). (a) Find a corresponding…

A: Given that Cartesian coordinates (x,y,z)=(3sqrt(3),-3,-8).

Q: Find lim (11) O limit does not exist Oe¹-2 Oe¹-4 O2 Other 1/2

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Q: y"+y' = 0; y(0) = 0, y '(0) = 1 cost + sint t + cost + sint B) 1- e-t t-e-t O A) O D)

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

Q: For a cyclic group of order 420, the number of generators are, (a) 66 (b) 76 (c) 86 (d) 96

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

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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: 7. Evaluate * (D5 - 3D4 + 8D³ + 16D² - 9D - 13)y = 0 y = (C₁ + C₂x)e¯x + С3ex +C4e²x cos3x + C5e²x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Classify the following differential equation: Second order, nonlinear Nonlinear, homogeneous Linear,…

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Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: (π/4 sec4x dx

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Q: Determine the area bounded by the curves x³ - y = 0 and y+ 3x² − 4 = 0, using a vertical element. A…

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Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…

A: Given

Q: 3x The directional derivative of f(x,y,z)=ln 1+yz at the point P (2,0, -1) in the direction from P…

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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: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

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: Suppose that x = 2 tan 8. What is sec e equal to in terms of x? √4+x² 2 √4+x² X Option 1 Option 2…

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Q: x² + 8x - 9 x1 x³2x² - 5x + 6 t³7t² + 16t - 12 t4 - 4t³+ 4t² 4. lim 5. lim t-2

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Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t).

A: We have to find dy/dx.

Q: Find Laplace Transform for 1-f(t) = 2t³; 2-f(t)=3e-²¹. 4-f(t)=2 cos(3t). 3– f(t)=sinh(2t); 5-cosh…

A: We have to solve given Questions.

Q: Find the partial derivative of fy for the function * 3 f (x, y) = (3x² + y²) ³ 3x² (3x² + y²)²…

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Q: Ifv= U (x² + y² +2²), then 025 + 0 + 02 is dy² 0 0 01 1 O-1/2 O Other:

A: Here we have to do the partial differentiation of the given function.

Q: x-y SS² dA over a square region Using the transformations u=x-y and v=x+y to evaluate Rx+y with…

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Q: Let L(z) be the linearization of f(x) = sinz+1 at the point z=. Find L(π/2). 0-1 O pi/2-1 O pi/2 + 1…

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