Question 8. Use the factor and remainder theorem to find the roots of this equation, f(x) = x³ +3x²-x-3

Q: For a binomial test, if pn True False 10 and qn = 30, then p www 0.25.

A: True

Q: What is the auxiliary equation associated with the differential equation y'' - 3y"'+4y=0? A n³-3m²=0…

A:

Q: A) √ Q22 x A) tan¹+ Q23 024 The B)tan¹(x+2)+c dx = A) In+ + 1) ++ 3814 appropriate substitution of…

A:

Q: 10. Use the - definition of limit to prove the limit is 16. lim 6x-2 x-3

A: We need to show by the ∈-∂ definition of limit thatlimx→36x-2=16

Q: Find the x- and y-intercepts of the graph of the equation. (If an 9x² - y² = 144 (x, y) =…

A: The given equation is 9x2-y2=144 To find: we have to find the x and y intercepts of the graph.

Q: y" - 4y = cosh 2x

A: Differential equation

Q: What is the general solution of the differential equation 2y''+y'-6y=0? (A) B O E y=C₁e² +C₂e y=C₂₁e…

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Q: 2. Newton's law of cooling states that the temperature of an object changes at a rate proportional…

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Q: If the 100th term of an arithmetic sequence is 383, and its common difference is 4, then its first…

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Q: Eliminate the constant: y=c₁₂e³+₂x³ Oy"-6y +9y=0 Oy"-6y¹+9y=x Oy"-4y+3y=0 Oy" + 6y'+9y=0

A:

Q: Discuss why it makes intuitive sense to presume that the linear differential equation y" + 2y' + 4y…

A: Given differential equation is y''+2y'+4y=5 sin t  .............................(I) Now, to find…

Q: Content attribution Question Approximate the area under the curve f(x)=3-13-x | over the interval…

A:

Q: The concentration C (in percent) of a drug in a patient's bloodstream t hours after injection is…

A: Answer: 1: Given C(t)=20t66+t2   we have to find domain of C(t)

Q: 27. Show that n! nn converges. Hint: Use lim 1148 n (1 + -/-) " n = e.

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Q: Find the general solution of the differential equation y2dx + 2xydy=0.

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Q: y" +9y2 cos 3x + 3 sin 3x

A: Please see the below picture for detailed solution.

Q: 1 For each of the following problems, find the solution of the initial value problem in explicit…

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Q: A thermometer is taken from a room where the temperature is 21°C to the outdoors, where the…

A: Newton's law of cooling is used.

Q: 2. (1+ √2-1)² = 3+ √2x-1

A:

Q: Q3 Q4 The sequence A) increasing The value - ing 1) strictly increasing D) eventually strictly…

A: We need to choose correct option.

Q: You are driving your car away from home on a road trip. After 3 ​hours, you are 190 miles away. If…

A: We wil find the required.

Q: What is the degree of the differential equation (y) ²-xy"=1? A 2 B 1 C 4 D D) 3

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Q: In Problems 7-10, xc₁ cost + co sin t is a two-parameter family of solutions of the second-order DE…

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Q: Q2: If D = d dt > find a complete solution of: (D+2)x+ (D+4)y = 1 (D+1)x+ (D+5)y = 2

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Q: I need the correct answer for all of them please.

A: Here we have to find the local and absolute extrema.

Q: Suppose y = sinh Then 1 sinhz z = sin(y) Oaresinh(y) Using implicit differentiation, dy dz (Enter…

A: NOTE: Refresh your page if you can't see any equations. . the given function is here we can write

Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z

Q: (e) y² + y x² + x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: Question 2 What is the general solution of the differential equation 2y"+y' - 6y=0? ²³² +₂e²²\ -2x…

A:

Q: iven the points A = (3, 4, 2), B= (-1, 2, 4), C= (0, 1, 3), and D= (-1, 2, 3), find   the exact…

A: Given that point A=3,4,2 ,B=-1,2,4 ,C=0,1,3 , and D=-1,2,3Solution :equation of line passes through…

Q: b/ For the following function the range is y = √4-x

A: The range of a function is the set of it's possible output values ( y - values).

Q: Find the general solution of the differential equation y(i) + 2y ''' —y" – 2y'=0.

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Sketch the graph of the function by first making a table of values. (If an answer is undefined,…

A: We need to graph function.

Q: Which of the following is the differential equation of the family of straight lines through the…

A:

Q: (D³5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4;y" (0) = 17 ubstitution and Elimination in Finding the…

A:

Q: A college professor never finishes his lecture before the end of the hour and always finishes his…

A: This is a problem related to probability. Please follow the procedure given below.

Q: 5. Rationalize the numerator to evaluate the limit. Be sure to show all your √³+49-7 h³ Q(²) = 0 lim…

A: First of all we will rationalize the numerator then we will apply the limits

Q: The differential equation y '- 2y - 3x2=0 is linear and homogeneous. A) TRUE B) FALSE

A:

Q: 5. 0= n n!

A:

Q: Find the amount of money accrued at the end of 8 years when $3000 is deposited in a savings account…

A: Formula for continuous compound interest  Where S=amount after t yearsS0=initial amountr=interest…

Q: 28. f(x) = e(et)

A:

Q: 1. - [48 n 1 57²

A:

Q: Q27) A)1+c B) Injx + c Sing+ Car X c)x+c dx D) xin x+c

A:

Q: 9. For f(x)=2x2, fim 2x²-2<0.05 (he

A: given :fx=2x20&lt;x-1&lt;δ

Q: 4. Find each of the two areas bounded by the curves y = x³ - 4x and y = x²2x.

A: First we find point of intersection of two given graph, y=x3-4x                           (1)y=x2+2x…

Q: 13. == H

A: Radius of convergence of a power series is ∑anxn is given by 1R=limn→∞supan1n.Then interval of…

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

A: A sinosoidal curve can be view as y=Asin(kx)+C, where A is the Amplitude, k is the period, and C is…

Q: The proportion of carbon-14 still present in a sample after t years is e-0.00012, + Estimate the age…

A: Given proportional of Carbon-14 still present in a sample after t year is e^(-0.00012t)

Q: dr=-4 tdt, when t=0, r=ro 0 r

A: We can find the particular solution in the below steps.

Q: lim _e¯x (x³ – x² +9) X18

A: We have to use the concept of limits