-dz :+ 5: + 6 2

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

A:

Q: Sec2X Q1) A) Evaluate the following integral: S V1-tan2x B) Find the slope of the line tangent to th...

A: A) the given integral is sec2x/√(1-tan2x). B)y=Sin5x ; x=π/3.

Q: Using appropriate substitution and taking a + 0, 3tan(ax) the integral S dx is equal to: cos² (ax)

A:

Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

Q: Given the matrix -4 -4 2 Introduce the "- R"term to the diagonal of the matrix then find the quadrat...

A: Please see the below picture for detailed solution. 

Q: Use sigma notation to write the Taylor series about x = 4 for the function. 1 x +1 k =

A: This question is based on Taylor series Sigma notation.

Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: area under the curve

Q: Write the first five terms of the sequence, give the exact answer: +o0 n + 23 n=1 Determine whether ...

A: Given a sequence

Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: Let y = f (x) be a function with domain all real numbers. It is known that f ′′(x) = 1 + x(x cos(x) ...

A: Given that x=0 is a critical number for the function f(x)

Q: 10 (100*+1) dx

A: I have stated the used formulas in the solution 

Q: This is a differential equations problem. Solve the following IVP's using the Laplace transform met...

A: As per bartleby guidelines we only give first question answers. (All are separate questions. )  

Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

A:

Q: df Q4) A) Find dx by using chain rule if f = , u=-1 , x=-1 u+1 B) Evaluate the following integral: S...

A: A) To find the derivative of the given function f=u-1u+12 with u=1x2-1

Q: Let f be a function defined by f (x) : S4 – x?, x + -3 1. Evaluate l1, x = -3 а. ズ→ー3+ lim f(x) b. l...

A: To find out the limits.

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: Determine whether the series converges; if so, find its sum. If the series diverges, indicate that w...

A:

Q: Use the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly...

A:

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y =...

A: Given: y=x4 and y=27x

Q: (iii) What quantity q maximizes revenue? What is the maximum revenue?

A:

Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

A:

Q: Q2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the ...

A: Topic:- integration

Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-, ...

A:

Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Graph the parabola, then label the vertex, axis, and intercepts. 1 Y = --x² + 2x + 4 %3|

A:

Q: solue the given diffe rential equation by wing The DE IS ho moge hous an appropriale Subrtito tion -...

A:

Q: Fill in the table with the correct information by referring to the function f below. The table conta...

A:

Q: b) Find the specific solution to the following 2nd order non- homogeneous differential equations d²y...

A:

Q: 2) A) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the f...

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. -...

A: ln(a/b) = lna - lnb

Q: Question 4 is not smooth. Assume b=11. Find the value of a at which the plane curve traced out by th...

A: Let's find. 

Q: B) Graph the trigonometric function (y = 6 cot x) and find the domain and range and period %3D of it...

A: We will graph the trigonometric function. 

Q: Write the first five terms of the sequence: {Vn? + 7n – n}n=1 | Determine whether the sequence conve...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 7 Pa(x) =

A:

Q: QS) A) Graph the curve Y-- 2x (x - 4)(x + 6)(x - 2) between the value of x (0, 4). then find the are...

A:

Q: 1 :dx J xV16ln² x – 9

A:

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A:

Q: 5. f(x) = In Vr² + 4

A: Given:- f(x) =√(x2+4)  To find:- (a) the critical numbers of f (b) all relative extrema of f (c) the...

Q: sin 4x Given: - Txwhat is the appropriate formula to find the integral? cos?(4x) (2 – 3 sec 4x) 1 (A...

A:

Q: dx (c) x² /4 – x2

A: Please see the below picture for detailed solution. 

Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A:

Q: Determine whether the alternating series converges. 6ln k 1)* k k= 3 O The series diverges. The seri...

A: The given series is summation of (-1)k6lnk/k , k from 3 to infinity.

Q: Given the matrix 2 4 Find the Characteristic Equation and find its solutions (aka: eigenvalues). A R...

A: Solution: Let A=24-17 The eigenvalues of A are the roots of the characteristic equation A-RI=0

Q: Find the fourth derivative of the function f(r) r - 32+ 2r3- ² + 4x- 10. 4. Find the first and secon...

A: find the derivative

Q: Which of the following sets are equal? A = {x e R|-2sxs2} B = {x e Z|-2sx< 2} C= {x e Z*|-2 < xS 2} ...

A: So set C and D are equal. 

Q: Find the indefinite integral. sin3 70 V cos 70 de

A:

Q: Q5) A) Graph the curve Y= - 2x (x -4)(x + 6)(x - 2) between the value of x (0, 41. then find the are...

A: y=2x(x-4)(x+6)(x-2)

Q: solve the given differential equation by seperation oF values. dy y xy+4y-* -9 dx xy-Sy tx-5

A:

Q: Find the radius of convergence and the interval of convergence. 00 (x+ 6)* k=0 Radius of convergence...

A: We will find the radius of convergence and interval of convergence as shown below