Step 4 We have a general solution to our differential equation: y = ₂0.08t + C - 25,000. To find the particular solution, we now find the value of the constant of integration that works with the initial condition. Substituting our initial condition y(0) = 0 into the general solution and solving for C, we have ³(0)+c y(0) = 0 = e 0 = 25,000 = C = 0.08 C - 25,000 - 25000

Q: Find the area inside one leaf of the rose: r = 5 sin (30) The area is

A:

Q: The volume of a certain cone for which the sum of its radius, r, an height is constant is given by…

A:

Q: +x •1. K clear Given that sin = 0.72 find sin 20

A:

Q: The first 4 terms of the Maclaurin series for In(1+3x) is ...? a) 3x - 2x² +9x³ - 81x4 Ob) 1+ 3x -…

A:

Q: R (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and…

A: Note:- As per student request i am solving part d of 6th question.

Q: toid (a) find vectors 30 and +2 (b) find lu + 2√²1

A:

Q: Convert the polar coordinate (8, (8₁ coordinates. Enter exact values. X = y = 3π ▬▬▬▬▬▬▬▬▬ 4 to…

A:

Q: Find the average value of the function f(x, y) over the plane region R. (Give your answer correct to…

A:

Q: I what interval is y = 3x5 - 5x³ y=3x55x3 concave downward?

A:

Q: Which shows the angle 135° in standard position? O A. O B. 0 с. Ї Which shows the angle an in…

A:

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. A rectangular garden…

A: Given: The side along the driveway is labeled "$6 per foot" . The remaining three sides are labeled…

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

A:

Q: ²4 cos 20; (0, ± ; (0, 4)

A: We have to find the value of the slope of the tangent of the above polar equation.

Q: Let g(x, y) = 3.³ -6.x²-5.y2 +1. a. Əg ar Show/hide

A:

Q: 10. Find the area of one petal of the polar rose r = sin(40) as pictured below. 5A6 Kve 4TH 2 3m/2…

A:

Q: question 33 it's calculus please help  The demand curve for a certain product is given by p(q) =…

A: For find the equilibrium point we have to equate both demand of product and supply value.

Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: Test the series for convergence or divergence using the Alternating Series Test. Identify b Σ…

A:

Q: Solve for x in In(x+3)=5. Give an exact answer only. Write "no solution" if necessary. As always, be…

A:

Q: ・S 21³/2 50. 2:³/2 In x da a

A: Solve the following

Q: Write the equation x=y^2 in polar coordinates and state the vaules of theta that produce the entire…

A:

Q: Find a . b. |a| = 9, |b| = 8, the angle between a and b is 30°.

A: Given, |a| = 9, |b| = 8 The angle between a and b is 30° We have to find a•b

Q: Solve the equation 3e²-1=0. Round your answer to two decimal places.

A: We have to solve given Questions.

Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: I- Complete the following table: Log Form log(12x + 7) = 3 II- Solve the following equations: a)…

A:

Q: 1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the…

A:

Q: Function Decomposition: Find functions f and g such that fog(x) = sin (1). f(x) = g(x) =

A:

Q: Given vectors u = (-2, 23) and v = Provide your answer below: (-2, 26), find vector u — v.

A:

Q: If the objective/target function is a function of more than one input variable, then what should we…

A: To determine the next step of a maximization or minimization problem.

Q: Find the value or values of c that satisfy the equation the function and interval. 18) f(x) = x² +…

A: Given function:- fx=x2+2x+4

Q: Question 22 Find the average value of f(x) = 8x - 4 from 1 to 5. The average value of f(x) = 8x -…

A:

Q: Find the average value of f(x)=6Sin(x) on [0, π]

A:

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: Find the area of the shaded region. - 4x (3,15) 3

A:

Q: dy dr || (b) Find dy dx || (a) Find as a function of t for the given parametric equations. dr dy as…

A:

Q: The first 4 terms of the Maclaurin series for e -2x O a) 1 - 2x + x² - 4x³ Ob) 1 - 2x + 2x² – x³ -…

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A:

Q: Consider y = ln (²). Compute.

A: The given data is: y=lnx2 To compute y'.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: As we know that the estimate distance covered by projectile between time a to time b is  hL+R2…

Q: Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91…

A:

Q: When solving a triangle which is not drawn, you must consider several scenarios: (1) No triangle is…

A:

Q: Given f(x, y) = sin(x + y) where x = : s¹tº, y = 4s – 6t. Find f(x(s, t), y(s, t)) = ft(x(s, t),…

A:

Q: Convert the Cartesian coordinate (-1,-5) to polar coordinates, 0≤ 0 < 2π

A: Given,            The cartesian coordinate is -1,-5.To find : Convert the given cartesian coordinate…

Q: 2. Suppose a thin wire with linear density 8(x) = ln(2x) lies between x = 1 and x = 3. Find the mass…

A: The given data is: The linear density of thin wire is δx=ln2x lies between x=1 and x=3 To find the…

Q: Given f(x, y) = fzz(x, y) = 6x5xy² - 2y³, find fry(x, y) = Question Help: Video Submit Question Jump…

A: Given: fx,y=-6x6-5xy2-2y3   As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law:…

Q: Find the angle of inclination of the tangent to the curve of the follow: y = 16x² at x = 2.

A:

Q: Find the radius of convergence, R, of the series. (-1)^ gn √n M² n = 1 +²

A:

Q: Consider the following. '11 du = Jo 7 √ 2x + 1 Let u = 2x + 1. Find du. dx dx Indicate how the…

A:

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given that y varies inversely as the cube root of x.

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given y varies inversly as the cube root of x when x = 64 , y = 4