16. M8 Σ n=1 –3η + 1 2n + 3 4η

Q: ind the area bounded by y = sinx - e*, the x-axis and the lines x = HT onfe 10 7 juo 44 KI4 x = ².…

A: This question is based on definite integral.

Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: Solve the given initial-value problem. y(x) = 7e y" + 6y' - 7y= 11e2x, y(0) = 1, y'(0) = 1 2x -7.x +…

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Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: Evaluate the integral and check your answer by differentiating. x8 + 8x5 x7 1 dx +C

A: Firstly expand the fraction of given Integral and then integrate

Q: 1. / (1 + 3x) dx 5 2. / u² (4 + u°) ³ du

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Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z…

A: Follow the procedure given below.

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: We have to evaluate the integral by first modifying the form of the integrand ∫ [ln(e8x) + ln(e-8x)]…

Q: What is 2x2

A: We can answer the question as below.

Q: Find all the values of x such that the given series would converge. (x-8)" 8n n=1 The series is…

A: We will use ratio test.

Q: ¡¡y y cos x² dx dy Evaluate the double integral by reversing the order Show your answer in details.

A: Change the order of integration and then  change limits respectively

Q: given u= and v= find the projection of u onto v

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Q: Find the radius of convergence R of the series. Σ 4²(x + 4)" n = 1 R Find the interval of…

A: To find the Radius of convergence and interval of convergence of the given series.

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: Q2/ A. Find the following limits. Answer four only. i. ii. iii. iv. V. lim x1 x-1 4x-x² lim X-4…

A: To evaluate the limit.

Q: 62. y + y = 22 +10x X

A: To find out the general solution of the differential equation.

Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay for 19 8 7 -6- 5 4- -3- H…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: 5.) Scosx (69425 Jax Са (9 + 25 sin(x) dx

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: d.) s 2x+3 x243x-1 dx

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Q: Find dy ду é^sinx in sx

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Q: (xx) 2. 6. 3. 7. 8. 9. 10. 11. 16. 17. 12. 18. 19. 13. 14. 15. To divide a decimal number by 1000,…

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Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

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Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: parametric

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Q: y' = 2xy²

A: Given: y'=2xy2We need to solve the above differential equation.

Q: The cost of fuel per hour for running a ship is proportional to the cube of the speed and is P1,350…

A: The given problem is solved below in detail.

Q: 1 2 Identify the true statements. Incorrect 3 4 56 f(1) is a local maximum. f(5) is a local maximum.…

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Q: Find the particular solution of the differential equation given that, when x = 0, y =-4 and Q3 *…

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Q: given the surface revolution x^2+z^2-5y=0 find the equation of its generating curve in the yz-plane…

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Q: Find the indefinite integral using any method. (Use C for the constant of integration.) (sin(0) +…

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Q: 4. y = 2x + 2 - 2x² + x + 6

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Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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Q: :) [x²ai 6.) sinxdx

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Q: Find the average value of the function f(x, y) = 5/√x² + y² on the annular region a² ≤ x² + y² ≤ b²,…

A: Here we have to find the average value of the function f(x,y) = 5/√(x2+y2) on the annular region…

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A: In this question we have to find the value of b and c.

Q: B. A heavy rock is thrown straight up with a velocity of 160 ft/ sec. The rock reaches a of S=160t -…

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Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

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Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: Q2: Solve the following f (1) 7x² +14+15 (x²+3)(x+7) dx :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Evaluate the indefinite integral as a power series , x² ln(1 + x)

A: We want to find the indefinite integral as a power series.

Q: ΒΣ 3 Θέλη

A: 3.The given series ∑n=0∞3.12n

Q: Q4: Answer two only: 2 1 -1 (A): I A=2 -2 Find AB and AC : - 1²/2 3 11 -2 -2 and 2 -- }

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Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: Use substitution to evaluate the definite integral given below. 1² (Enter an exact answer.) Provide…

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: Find the definite integral that will compute for the area of the region bounded by y = tan x, x = 0…

A: We can find the area bounded by the curve .

Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below: