Q1/ find the Eigen value and Eigen vector for the largest Eigen value if -2 2 -31 [A]= 2 1 -6 -1 -2 0

Q: identify any extrema of the function by recognizing its given form or its form after completing the…

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Q: Use the Ratio Test to determine whether the series convergent or divergent. 00 n=1

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Q: 1. A Bernoulli differential equation is one that takes the form y' + P(x)y = Q(x)y". (a) Classify…

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Q: 7. y"+y'+y=0 Ans: y=a*(Ccosx+Csinx) со

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Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: The given integral is 4/sqrt(x), limit from 1 to 5.

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -5, ƒ'(0) = 10, f(x) = +…

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Q: Evaluate the integral. a 6 dx ਚ 2 + a> 0

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Q: 4 Find the average value of f(x,y) = (+√y) where 0 ≤ x ≤y and 0 ≤ y ≤ 4.

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Q: Given a second order differential equation dx X = e³t dt where t = 0, x = 2. 3t Using Laplace…

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Q: √tanx secox dx

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

Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

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Q: Suppose f(x) = 6t²√1+t³ dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

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Q: Show that the function f(x, y) = 3x - 4y² is differentiable at point (−1, 2)

A: answer is in next step. please give a like !!!

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -5 to x = -3.…

A: We need to find average rate of change.

Q: 1. If A (in²) is the area of a square and s (inches) is the length of a side. Find the average rate…

A: This is a problem related to rate of change of the function. Based on the general formula and…

Q: What are the domain, range, and period of the function f(0) ) = -20cos( - 10) + 1₂

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Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

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Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Consider y = f(x) = =725, *20. +5 (a) Find the critical point in (0, ∞o). Using the 1st derivative…

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Q: Solve the given differential equation. All solutions should be found. dyx³ 8y dx X NOTE: Use c for…

A: As we know that; The standard form of 1st linear order differential equation is: dydx+Pxy=Qx So, the…

Q: Calculus Use partial fractions to evaluate the integral 1²-21+3 12² (x − 3)(x² + 9) dx.

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Q: the Taylor polynomials T₂(x) and T3(x) centered at x = 10 for f(x) = ln(x + 1). T. (m) 1

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Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

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Q: The illustration below shows the graph of y as a function of x. Determine the kind of function…

A: Explanation of the answer is as follows

Q: 5) y = tanx secx 6) Y = b x+1

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Q: 1. ƒ(x)=x²- = x² - secx 2. w = ex²-x² + 4x 3. h(z)=In(2z)sin(2z) 3x² 4. y= √x² +1 5. y³ + 2xy = 3

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Q: - 2.f(x,y) = y²x¹ey.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: H.W Find the maclaurin series of the following functions:- 1 2- 3- sin (3x) 1+x 4-7 cos(-x)

A: As per bartleby guidelines we only give first question answers.

Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

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Q: Binh Xi 5X₁ L 0X₂ zj-cj o b C a X3 Si 2 1 -8 -1 7 S₂ 0 1 SoL 30 10

A: Apply simplex method

Q: Does the following series converge or diverge? 4√n Σ 3/2 10n +7n+7 n=1 O The series diverges. The…

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Q: √3 3-x² √√3√ √√3-x²√1 4-x²-y² 1 dzdydx

A: Explanation of the answer is as follows

Q: 4. Find the equation/s of the normal line of slope 2 to the ellipse x² + 2y² = 3. 5. At what point…

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Q: need

A: We will solve the problem.

Q: Give examples of functions, which satisfy the following conditions, and justify your choice. If no…

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Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: 1)

A: Solution ) 1) in the first graph   We see that  In every value of x , y value is constant which is 2…

Q: please do the second (b)

A: Let's find volume when rotated about y axis.

Q: Ixe xex/3 dx

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Q: 5. In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

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Q: the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5…

A: We have to find the normal line of the surface.

Q: 2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to the…

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Q: Find the area of the region enclosed by the curves y = x³ and y = 4x. 24 8 16

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Q: ∫ 2cos^2(x)sin(3x)dx

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Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

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Q: A- Answer the following L-1 3s-1 s²+2s+5

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Q: Find the solution of the given initial value problem. ty+3y=t²t+5, y(1) = 2, t> 0 11

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Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: When applying the convolution theorem to calculate: a 8 L-1 ¹ { x² + Q² * x² +F}" You obtain the…

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Q: - x, then answer the following (1) Find the function's domain (2) Find the function's range. (3)…

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