2 2 Find the sum of the series E Vn +4 yn+5 n= 1 The sum of the series is (Type an exact answer, using radicals as needed.)

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Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

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A: Given;  tany=ex+ln(4x).

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: Given

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A: Given query is to find the area under the graph.

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Q: 4. Find 2+1dt O V4x+1 O V16x? +1+v2 O 4/16x? +1 O V16x? +1

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Q: Flnd the maximum rate of change of f (x.y) =e*²+e*+2y at P (2,1) 29 e4 V 29 e 16 O 7e4 O Viet

A: gradient of function fx, y=ex2+ex+2y, at 2, 1

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Q: Find the Taylor series generated by f at x = a. f(x) = 7*, a = 3 Choose the correct answer below.…

A: f(x)=7xx=aa=3

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A: Here, the given functions are: f(x,y,z)=x4y+z4, x=st2, y=st,z=s2t

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Q: Solve the system of linear equations using Gaussian Elimination. -71[X1 X2 X3 15] [x4] 5 -10 3 14 8.…

A: To find the solution of given system of equation.

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A: Let's find.

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A: Area bounded by the curve y=x2 and the line y=2-x

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A: To solve the following problem

Q: This equation is an example for linear equations dy dx False O True O

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Q: S cosh? 2x sinh² 2x dx

A: This question is based on indefinite integral.

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Q: 9) |x² cos(5x? )dx

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Q: Suppose w = x = cos? t, y = sin? t, z = dw Evaluate at t = 3 , by using the Chain Rule dt

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Q: Find the length of the curve r(t) = t^2i − 2√2tj + (t/2 − 1)k for 0 ≤ t ≤ 1.

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Q: 260. A bomber plane is flying horizontally at a velocity of 440 m/s and drops a bomb to a target h…

A: This is a problem related to derivative of the triangle. Based on the general formula and concept we…

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A: Recall: Divergent theorem,    If limn→∞an≠0, then the given series ∑n=1∞an is divergent. We have,…

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A: Given: fx=y=x2+2, y=18 and  0≤x≤4 And the bounded region is: Apply the shell method to find the…

Q: Using Sandwich Theorem 3n2 + 1 an = (-1)" n3 – 4 | O diverges O converges to 1 O converges to -1…

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

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Q: Compute the derivative of the function y = 7 sin¬'(x) at the point x = (Use symbolic notation and…

A: A detailed solution is given below

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A: This is a problem related to integration. Based on the general formula and concepts we will answer…

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A: This question can be solved using the concept of linearly independent vectors.

Q: Find the inverse of the function. f (x) = 14 – 5æ3 -

A: To find the inverse of the given function.fx=14-5x3

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A: To find out the integration.

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Q: y = 6x³ – x-4

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Q: Q1) Suppose w = +, x = cos? t, y = sin? t, z = ; dw at t = 3, by using the Chain Rule Evaluate dt

A: Topic = Derivative

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Q: Find the average value of the function f(x,y)=y2√x +5 over the rectangular region R=[2,4]×[3,4].

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