What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value of 1? Give your answers in 4 4 terms of r. k = k =

Q: 3) Show that for any constants M, k, and a, the function k(t – a) y(t) = - M1+tanh 2 satisfies the…

A: Here, the given function is: y(t)=12M1+tanhk(t-a)2...(1)

Q: 1) (3,4), (4,3) Ans. Independent

A:

Q: 4. What is a true error ? A abs (True Value - Approximate Value) B. abs (Present Approximation –…

A: topic- Errors

Q: Consider the function f(x) =2x + 6x? on the interval [1, 3]. Let K ER be such that K = max |f"(x)|.…

A:

Q: If the series E, (an)? diverges then lim,00 an + 0 Select one: True False

A:

Q: Water flows into a conical container at a rate of 7 cm's The radius of the container is 5 cm and the…

A: We have to find rate of change of Radius.

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

A:

Q: dy + 7z = 5 5 – 72

A:

Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.

Q: Solve the following problems. Show your complete solution. 1. A two-pen corral is to be build. The…

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: TUTORIAL 35 Given a function f(x) = 2x + 3x 1(x) is increasing and decreasing. - 12x - 5. Find the…

A:

Q: 32 RELATED RATES TUTORIAL 32 d0 when the angle is TC radian ? top of the ladder and the wall…

A:

Q: Find and sketch the domain for the function. foxy) = - 25) ( - 4) Find the domain of the function.…

A: function f(x,y)=(x2-25)(y2-4)

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: Let's find.

Q: dx J Vx² – 25

A:

Q: 3:) Consider the function g defined by g(x ,y) = cos (TXVG) + logg (x-y) 3 (b) calculate the…

A:

Q: Given f(x) = (2x – 3)' (x +1). Determine (if any) (i) Critical point(s) for f(x), (ii) The interval…

A:

Q: Convert the following decimals to fractions and vice versa. Do not simplify. 1. .9 = 2. .55= 3.…

A:

Q: Graph each parabola. Identify the vertex, focus, directrix, endpoints of the latus rectum, and the…

A: The given equation is: y2-12y-16x-28=0⇒y2-12y+36=16x+28+36⇒(y-6)2=16x+64⇒4(4)(x+4)=(y-6)2 which is…

Q: following integration can be solved by using the     technique, where in the first application of…

A:

Q: Find the determinant of the following: 2 0 41 1. I. -2 3 1 1 2 4 l4 4 2] 4. 4 5 -2 -3 4 5 4 61 2. -1…

A: A detailed solution is given below.

Q: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

Q: e) f(x) = 3x2 – 7 g(x) = 2x+3 find f(g(x)) %3D

A: Find f(g(x))

Q: Find the genekat Sotutionsto the differentiat -or Special

A:

Q: 3x5 dx - x3

A:

Q: Solve for the second-order derivative of: [(4x3-1)(8x2+6x-3)]3

A: We have to calculate second order derivative of [(4x3-1) (8x2+6x-3)]3   Let us say  Y= [(4x3-1)…

Q: Solve 4 sin(2x) – 5 cos(x) = 0 for all solutions 0 < r < 2n 2.68

A:

Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

A:

Q: Evaluate the integral [[(3t) i + (9) j+ (5t + 3) k] dt. 1 J[(3*) i + (9) j+ (5t + 3) k] dt = (O i+…

A: We can solve as follows

Q: times the radius. Water is poured into a cylindrical tank whose height is when the radius is 3m ? I…

A: The solution of question no 1 is given in the next step.

Q: II. Find the Inverse Laplace of the following 2s-9 d. s2 +2 1 е. (s²+1)(s²+4s+8)

A: We have to find the inverse laplace transform.

Q: II. Find the Inverse Laplace of the following 1 a. s2+6s+25 s2 b. (s-1)3 7 5 6 С. s4 8 s3 s2

A:

Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

A:

Q: Use the substitution u = 6x? + 1 to convert the integral fo xeoz+1 dx to an integral of the form L…

A:

Q: art (ii) Show that the following harmonic series is convergent. 1 -= 1 2

A: Series

Q: Question 9 Let y = tan e find the differential dy of the function. O dy = e (r – 1) sec e- da O dy =…

A:

Q: How to solve for the derivative of Dy[tan(y)+1/tan(y)-1]? If it's 0, why?

A:

Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

Q: 7 1 = xp- Зх-2 du 5. 2 O True O False

A: Given query is to find statement is true or false.

Q: Let C(x)=x²+4x+1 dol 5

A: Given

Q: Learning Activity 2: Matching type: Match the functions in Column A with their corresponding…

A:

Q: Using the key matrix A = decode the message: 36 50 53 76 29 34 15 22 37 64 (Note: Use 27 for space…

A: Concept: Matrix: A matrix is a row-and-column mathematical structure. The Aij element of a matrix,…

Q: Write the product as a sum or difference: 8 sin(20x)sin(9r)

A: Consider  8sin(20x)sin(9x)

Q: 19. lim, (1 - 5-) - -2 (+음-1) = -2 3 20. lim = 7

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 72 a, =6, a,. 1+an

A:

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

A:

Q: Basic Coatalus 1. f(x) - f(xth) = 5(x +h) - 3 Sx - 3 lim 5(x+h)-3 [5x-31 56 +5h -3 - 5% +½ 1. lim…

A:

Q: in(2x) – 5 cos(x) = 0 for all solutions 0 < a < 2n .68

A: Please refer to the image below

Q: 2л + 3 dx 4г2 — 4х + 5

A: