» / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

Q: fllowing fir'st order DSe 5ーx(m3)

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question....so…

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A: To give an example of the integration where trigonometric substitution is possible.

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A: Given problem:-

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A: we have to find directional derivative.

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Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A: We need to provide 5 sample problems for Elimination of Arbitrary Constant Differential Equation.

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

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Q: - 4× dx хе

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Q: An Integration factor of this differential equation is .7 3x2 + 1+ x3 dy 1 y = 1+ x2 dx

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A: See the details solution in below

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Q: Finding Partial Sums In Exercises 5-10, find the sequence of partial sums S, S2, S, S and Sg. 5.…

A: 6. 12.3+23.4+34.5+45.6+56.7+.....10. ∑n=1∞(-1)n+1n!

Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…

Q: Find fxy when f(x, y) = 8xeXy.

A: To find fxy when fx, y=8xexy.

Q: Find the nth term of  (– 4 3 14 29 ) and (4, 5, 8, 13)

A: Sequence

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A: We can solve the given differential equation by using the method of undetermined coefficients.

Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

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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

Q: Find the degree 3 Taylor polynomial T3(x) of function f(x) = (7x – 19)*/2 - = 4, T3(x) at a =

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Q: Where is each function continuous? (b) f(r) = sin-(1-r) %3D I+3 (c) f(r) In ) %3D (d) f(r)= 12+5r+ 6

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Q: Use the table of frequently used Taylor series to find the sum of the series. - 3+ 6x - 9x + 12x -…

A: Solution

Q: of the following graphs represents a y

A: Function

Q: x2 C. y=- ,2 х*+2х-15

A: c.) y=x2x2+2x-15Differentiating w.r.t xy'=x2+2x-152x -…

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A: Let's find.

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A: As we know that; The critical number of the function, y=gy can be determined by solve the equation…

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: This equation is an example for linear equations dy y = = x²e* dx True False O +

A: Any differential equation of nth order is linear if it is of 1st degree and donot have product of…

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A: Let's find.

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Q: Question 11 Calculate the surface area of the given surface. The parabolic cylinder with equation z…

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

A: Given problem:-

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A: Follow the procedure given below.

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A:

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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Q: Q2) Find the volume of the solid generated by revolving the "tri- angular" region bounded by the…

A: Washer method: To find the volume enclosed between two functions, the washer method is applied. We…

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: Solution: Given data, Vertical asymptotes at x=-2 and x=4 So the denominator of the rational…

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A: We have to find the speed of plane.

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A: Use limit concept

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

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Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y dy 6 У - 2у - 3…

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Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

A: