du 02: b: Prove the following formula: coth u=-csch² u. dx

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A: We have to solve given Questions.

Q: Calculate the future value of end-of-month payments of $500 made for 4 years into an investment fund…

A:

Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+16y=0 Oy"-5y'-16y=0 Oy"+5y'+36y=0…

A: Find DE

Q: Sarah lent $2,630 at a simple interest rate of 2.75% p.a. to her friend on August 06, 2013.…

A:

Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

A:

Q: Which of the following is the graph of (y-2)² = −4(x - 2)² 12 5 n 24 X + 3 24 CV 9 T ny 7 T O & 7 6…

A: (y-2)2 = -4(x-2) compare with equation   (y-k)2 = – 4a(x-h) so we get   k = 2 h = 2 a = -1

Q: Find the y'" if y = x lnx 07/1/201 O-+ 01/1 0 - 1/2 Find the first derivative of y = tan? x cosh’ x…

A:

Q: #15.) Determine the vector, parametric Cartesian equations of each of the following planes: a)…

A: Note:- Since you asked multiple subparts then as per our policy we can solve first three subparts…

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

A:

Q: Onsider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: We have to find out length of vector As per guidelines we have to solve one question please repost…

Q: (6x²-y+3) dx +(3y²-x-2) dy

A:

Q: Find the inflection point(s), if any, of the function. Enter your answers as (x, y). If there are no…

A:

Q: 6. Determine the point of inflection on the curve defined by y=x³ + 5. Show that the tangent line at…

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

Q: Calculate the derivative. 5t ƒ"(1),_ƒ(1) f(t) = 1+1 (Give an exact answer. Use symbolic notation and…

A: see the answer and calculation below

Q: eets 1 X STBunn Truck Sheet - Goo X Shelton State X LG myShelton Compute the derivative of the…

A: Given;  Sqrt(9+4x+sinx).

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: given foci =(-2,-5),(-2,7) vertices=(-2,-4),(-2,6)

Q: 1.- 2. Zeros are 2 and - 3 X -2 -1 3. y 10 5 2 0 1 A. f(x) = x² + 1 B. f(x) = x²+2x-3 C. f(x) = 2x²…

A:

Q: Solve for PS: y"+7y'-8y=0;x=0,y=0,y'=1 O y=9e^-t-9e^-4t O y=1/3e^-t-1/3e^8t Oy=3e^t-3e^2t O…

A:

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away…

A:

Q: na tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is…

A: We use here properties of triangle to find the angle between spectator and hole

Q: Solve the following differential equations of 1-(x+3x' sin y) dx + (x* cos y)dy =

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Jacqueline loaned $61,000 to a small business at 5.14% compounded monthly for 1 year and 9 months.…

A:

Q: Ol: a: Graph the function: |y| + |x| = 1

A: Given problem:- Graph the function |y|+|x|=1

Q: y-values 9 8 7 3 2 1 If f(x) = f'(3) = = 1 g(x) h(x)' g(x) 2 3 x-values then 4 50 y-values 5 4 3 1…

A:

Q: Evaluate the indefinite integral. -3.5 - 15t - 3t-¹)dt (-15-35-3t-1)dt = 1 4 +²√t - 2 In t+c (Type…

A:

Q: Evaluate the integral. 1 √2√2 ²² √2-4° dt t³

A:

Q: If the Wronskian W of f and g is t²e³t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

A:

Q: Given 8₂ = 6 and 85 = -384 of a geometric sequence, what is the recursive equation for the nth term?

A:

Q: Solve the following limits by algebraic method and by the corresponding theorems √9x +4-2 a) lim…

A:

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region bounded by the curves,   y=x3, y=0, x=1, x=3

Q: The zeros in the given matrix make its characteristic polynomial easy to calculate. Find the general…

A:

Q: (2xy²-2y) dx +(3x²y - 4x)dy = 0

A: The given differential equation is;  (2xy2-2y) dx+(3x2y-4x) dy=0

Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

A:

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A:

Q: 5 Which standard form of the equation of the hyperbola has vertices at (0,5) and (0, -5), and…

A:

Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…

A:

Q: If f '(4) = 0 and f '(x) 0 for 4 < x < 5 then f has a local minimum at x = 4. True False

A: If f '(4) = 0 and f '(x) &lt; 0 for 0 &lt; x &lt; 4 and f '(x) &gt; 0 for 4 &lt; x &lt; 5 then f has…

Q: H.W (5) Solve the following differential equations of .0 2xy dx + (x² + 3y²) dy

A:

Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x(40x²…

A:

Q: Solve the differential equation. y' - y = 9ex

A:

Q: What is the exact measure of an angle whose measure is 10 in radians? O 10TT 18 10

A: Solution of given question is written in below steps.

Q: 3) lim(x - 1)-¹ Inx x-1

A:

Q: Find laplase 4-f(t)=e²¹.t³.

A: Given problem:- Find laplace transformation of f(t) =e-2t t3

Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

A:

Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

A:

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A:

Q: Find the value of x for which the line tangent to the graph of f(x)-7x2+4x-14 is parallel to the…

A: