Let f(x, y) = x² vI Evaluatef(3, 4)

Q: n (a) an = (-1)" n+1 (b) an Vn +1 In(n®) (c) an = 2n

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Q: dx

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A: To find the Taylor series for f(x)=e2-x centered at a=1. Concept used: The Taylor series can be expr...

Q: 19. Simplify the following expression fully. 1.1 11 d 20. Solve the following inequality. Write the ...

A: Topic = Algebra

Q: Number 62 please

A: 62.] Concept:- For an alternating series let the sum of partial sum is sn then sn - sn-1 for n&gt;= ...

Q: Write an equation for the polynomial graphed below 6+ 5- 4 3- 2- 1- 4 1 -1- 2 3 4 -5 -3 -2 |-2- 3 - ...

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Q: x'- x - 3x - 2 dx 4 x* - x' + 4x- 4x .3 |

A: To find out the integration of the function given. 

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. g(t) = |5t...

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Q: 1 1 4. x2 + yi = 9| %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?.

A: Given : h = 4(21-x) x = 12.92 cm  

Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: х — х? -Зх- 2 dx - x' + 4x? - 4x | 4

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Q: True or False: To evaluate the integral dr, 9. we use substitution withz= 3 sec 0, where Select one:...

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Q: 2- R 1+ TTX 86. Let R be the region in the first quadrant bounded by the graphs of y = 4 cos | and y...

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Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closed triangular ...

A: f(x,y)=4xy2-x2y2-xy3fx=4y2-2xy2-y3fx=04y2-2xy2-y3=04-2x-y=0 ...(1)fy=8xy-2x2y-3xy2fy=08xy-2x2y-3xy2=...

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Area of triangle =( base *height )/2 Area of semicircle = (π(r^2))/2

Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

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

Q: Solve x (t) – 2y (t) + z (t) = -3 x' (1) + y' (t) – z' (1) = 2 x' (1) + 2x (1) + z (1) = 1 where x (...

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Q: 88. Let f be a twice-differentiable function such that f"(x) < 0 for all x. The graph of y = S(x) is...

A: The graph of y=T(x) is the line tangent to the graph of f at x=4

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Q: find the derivative of y=4e^-2/t

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Q: 21n|sinh (1/2 »)|+C

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Q: Consider the series > and n=1 Vn3 + 3n – 1 n312 n=1 Write an inequality comparing 1 1 to for n > 1. ...

A: Please see the below picture for detailed solution. 

Q: Let {an}n=1 be a convergent sequence such that a1 = v5 and an+1= /5an Compute lim an

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Q: २२ 221 find the Pur Pe

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Q: 2. A triangle has a height that is increasing at a rate of 2 cm/s, and its area is increasing at a r...

A: Area of the triangle , A =12(Base)(Height) Product Rule of Differentiation : du.vdt=u.dvdt+dudt.v

Q: Find the average value of the function on the indicated interval: 2. f(x) = 3xVx² – 16; x € [4,5] -

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Q: n +1 n/n+ Vn |sin n| n=1

A: Using p test and comparison test. 

Q: 16-x2| (a) lim (2 + x) 16-x²| ズ→4+ 4-x

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