Use Gauss-Jordan elimination to solve the given system. 3x + 6y – 3z = −2 -2y + 3z = 1 6x + 6y + 3z = 5

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: Use the comparison theorem to compare Enter your answer using either ≤ or >. F = = [₁* (√x + I + 2)…

A: We will use comparison theorem to compare the given two Integrals.

Q: Calculate approximations of tan(π/4-0.1) by using Taylor polynomials P₁(x), P2(x), P3(x). Use c=π/4.…

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Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

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Q: Q5: Find for the following fun dx (1) In(x - y) = xy + y² ;

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

Q: (C): If w = tan x and x = 4²³ +t: Find?

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Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x+y+2z=1 2x-y-z=0 x…

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Q: 3. Find the volume of the solid formed by y = √√4sin(x) bounded by x = 0 revolved about the x axis…

A: According to the question we need to find out the volume of revolution of the curve.

Q: 0²1' (19²¹) = (1) 1

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Q: · F(x) = 5* (S₁²¹6 (√₁+ u²) du) dt

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Q: 2: Solve the following integrals: - 7x² +14x+15 (x²+3)(x+7) dx ; 1) S

A: Given: ∫7x2+14x+15x2+3x+7dx

Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: (B): Find the unit vector perpendicular to the vectors: 31-4/+5k 41 +5/-6k i (C): If w = tan x and…

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Q: Find a power series representation for the function. f(x) = X 8 - x³

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Q: use triple scalar product to find the volume of the parallelpiped u= v= w=

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

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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: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

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Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du

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Q: Solve the initial value problem 25y" — 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t): How does the…

A: We can solve this as follows:

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: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 1t, where 0 ≤ t ≤ 5.5…

A: Given: v(t)=10 -t, 0≤t≤5.5

Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx

A: To solve the following integral problem

Q: Use L'Hopital's to determine the limit. lim 0 0 1 1-cos x I O sin x COS X as x approaches 0

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Q: Q5: Find dx for the following functions: (1) xcinh 2x coch 2x (3) y = e* sin² x In√x

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Q: Question 5 Find the general solution of the differential equation y" - 10y' + 61y = 0. NOTE: Use c₁…

A: Solution : Given that differential equation                  y"-10y'+61=0

Q: A. Find the following limits. Answer four only. x-¹-1 i. ii. iii. lim- X-1 X-1 lim 4x-x² X-4 2-√√x…

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Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: Given f(x) = - 12√x + fractions. f'(x) = The domain of f'(x) is 20 X 18, find f'(x) and its domain…

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Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: 5. Find the volume of the solid by the shell method. The solid is obtained by rotating the region…

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Q: Sketch the function. v(x) = 0.2(x-3)²(x+2)³

A: We can answer the question as below.

Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Sol:- To find the maximum concentration:-

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

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Q: A particle moves along a line with a velocity v(t) = -2t+4, measured in meters per second. Find the…

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Q: In 100 yrs, 132mg of radium decomposes to 96mg. How many mg will be left after 200 yrs?

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Q: The area of an ellipse with axes of length 2a and 2b is given by A = Tab. Approximate the percent…

A: Concept: We have given the Area A=πab Here the length a is increasing by 2% which is daa=2% Here the…

Q: Q1/ Answer the following: A. Find the shortest distance between the point A (3, 10) and the line y =…

A: We can find the shortest distance as below.

Q: If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would…

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given data÷ Marginal cost  cp=$0.012 per page  Where p=number of pages

Q: Q4: Answer two only: 4 2 (A): If A = 2 l-2 Find AB and AC. 1 -1 01 0; 1 2 B = 2 l-1 3 1 -2 -2 and 2…

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Q: Solve the triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. b…

A: We need to solve for the remaining angles and sides of the triangle.

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

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Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

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: dw (C): If w = tanx and x = 4t³ + t ; Find dt dy

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Q: The following function is positive and negative on the given interval. f(x) = 8 - 2x²; [0,4] a.…

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Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol 1-cos x sin²x (2) lim, o…

A: 3 1) limx-0[1/(1-cosx) -2/sin2x ] 2) limx-0 (tan-1x-x) x-3