8. y = log x-1 x+1

Q: 12. y = 1 3t + 1³ X= 31² 1+1³ 3

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Q: 2 - Find the average value of the function f(x)=x -21 on [0,6]. The average value of the function…

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Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? O 1 O 1.001 O…

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Q: ¹ (²³) 4- If f(r) = cot-1 + tan-¹ prove that f'(r) = r²+4

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Q: Find a Maclaurin series for f(x) = x2 e–x giving the first four nonzero terms and the general term.

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Q: Flag question A grocery owner raises the prices of his goods by 10%. Then he starts his Christmas…

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Q: The power series representation of f(x) = n(x²-1) is given by ΑΣ (-1) -1. I =1<x<l #ΞΙ 8+1 B. None…

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Q: For any real x, what is the maximum value of the expression y = 2(k-x)(x+√x²+k²)?

A: This question can be solved using the concept of maximum and minimum.

Q: f ƒ (a,b, c) = cos (ab) + sin (b) + c where ƒ ((2, 73,7)) Evaluate af да (1,3,7) O Option 3 T√3 12 ل…

A: Topic:- application of partial derivatives

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

A: Using disc method, find value of a+b+f(1)

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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Q: stion 12 The power series representation of f(x) = ln(x²-1) is given by OA. None of the choices in…

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Q: Car X is travelling west at 20 kph and Car Y is travelling south at 30 kph. Both are headed for a…

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Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e³; y'(0)…

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Q: Sketch out the graph of ? = ?^2 + sqrt of ? + 1, and find its extrema, concavity, and points of…

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Q: If the function u = 2e^u e^2u 1/2 Other: In (2² +2²¹²) then ro + you is 4

A: First we calculate partial derivative.

Q: Discuss the relationship between the number of solutions of the following system and the constant k.…

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Q: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

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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: Which of the following describes the partial fraction decomposition of a rational function of the…

A: When there is a whole square in the denominator, it it divided into two parts. One consisting of…

Q: find the final value for the 3 z³ +8 F(z) = = 23-22

A: Given; F(z)=Z^3+8/Z^3-Z^2 We have to find final value

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

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Q: Choose among the following suitable to define the given integrations * :fx √x + 1 dx Not suitable…

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Q: Solve the following deferential equations b) -2√x √x

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

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Q: 4 cos z at the point (5,2). The Find the equation of the tangent line to the curve y = 2 sec z…

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Q: Find f such that f'(x) = f(x)= f(16) = 21.

A: Topic:- application of integration

Q: 13- Find Gamma Function for (a)T (5); (b)r(7):(c)r 2

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Q: 4. g(x) = (3x − 2)4; g"" (x)

A: We can find the derivatives as below

Q: The integral can be rewritten as 6u³ (a). Joudu u+1 6u4 (c). du u²+1 ܐ | dx √x+√x (b). Sū 6u² u²+1…

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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: Using shell method, given format is obtained. From this format, evaluate m-n.

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? 01 O 1.001 O 1.002…

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Q: find 04 O B O 7 O -12 af ду dy' given f (x, y) = e + 2xy² – 4y at (0, 3) -

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Q: (π/4 sec4x dx

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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: Solve the following deferential equations a) (x² - 4xy - 2y²)dx + (y² - 4xy - 2x²)dy = 0. e-2√x : 1…

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

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Q: A B Ⓒ 1 D 2 E 3 3 4 3 ["/* sect sec*x dx

A: The integration of the integral is sec4x limit from 0 to pi/4.

Q: Set up the integral representing the area of the region between the curves x = -2, x= 3, y=x²-3, and…

A: Given problem:- Set up the integral representing the area of the region between the curves x = - 2,x…

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: Which of the following integrals represents the area inside the curve r = 3 + 2 cos 0 and outside…

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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: 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: 13-f(t)=t-cost;

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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: 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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