4. A straight river flows north at a speed of 3 mi/h. A boater attempting to cross the river heads due east having a speed of 4 mi/h relative to the water.

Q: Find the particular solution. 3 x(y²-1)dy + (y³ - 3y)dx = 0; when x = 1, y = 2

A:

Q: The cost function for a company that produces cellular phones is C = 9x² 300x + 8545, where C is the…

A:

Q: 16 Calculate V.v and V x v. a) OV.v= b) OV-v=- 5 yx x² + y² c) O V.v= 6 yx x² + y² 6 yx x² + y² d)…

A: I have appended the formula used in the solution part of the question

Q: Use logarithmic differentiation to find the derivative x8 cos²x √x-1 y=-

A:

Q: Solve the initial value problem. y"+6y' +9y=0, y(0)=2, y'(0) = -5

A:

Q: 2. How much money should I save in an account paying 5% interest compounded monthly if I want to…

A:

Q: Find dy/du​, du/dx​, and dy/dx.   y=u53 and u= 2x3-3x2

A:

Q: Consider the two points (5, 8) and (10, – 9). The distance between them is:

A: FORMULA FOR THE distance between two points is if points are (x1,y1) and (x2,y2) then…

Q: 6. Verify this identity: sec² (0)-1 sec² (0) = sin² (0) You must show all work! 7. Verify this…

A:

Q: A wireless store owner takes presale orders for a new smartphone and tablet. He gets 310 preorders…

A:

Q: Applications of integrals destion 30, Instructor-created question The marginal cost for a company to…

A: Topic:- application of algebra

Q: Given f(x) = ²x + 2x, find the slope of the line tangent to the curve of f-¹(x) at (1,0) where (1,0)…

A:

Q: 8²% Classify the partial differential equation: 6- dx² -16 <0, Hyperbolic -24 < 0, Elliptic O 240,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 6 15-xl dx Explain me! Please Evaluate.

A: We have to evaluate the definite integral:   ∫065-x dx

Q: Let s(t) = 8t³ - 12t²-144t be the equation of motion for a particle. Find a function for the…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is  to find…

Q: Use the graph of f and g to calculate lim 01 712 10 -2 8 6 4 2 04 -2 -4 -6 -8 Nonexistent -1010-8 -6…

A:

Q: A searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb…

A:

Q: If f(x) ƒ'(1) = 6x² + 3x + 6 -, then:

A: Topic - derivative of a function we are given ,f(x)=6x2+3x+6xWe know thatquotient…

Q: 3 Estimate of region by BEDR are a Rieman Sums. Consider the function fen=x²2x, 0≤x≤3 a) Evaluate…

A:

Q: 3-t Let F(x) = √² + 40 (a) Find the value of a where F obtains its maximum value. x = dt for -∞0 < x…

A:

Q: Find the particular solution. (x + 1)dy - 2(x + y + 1)dx = 0; when x = 1, y = 4

A:

Q: 2. Let g(x)=ff(t) dt, where f is the function whose graph Indi rique à bas a mowed to is shown. (a)…

A:

Q: Find the equation of the cosecant graph given below. Note: Enter your answer in cosecant form. 6 U U…

A: We need to find function of graph.

Q: emical substance has a decay rate of 8.3​%per day. The rate of change of an amount N of the chemical…

A:

Q: Use exact area calculations (no Riemann sums or a definite integral) to evaluate each of the…

A:

Q: Find the angle of intersection of the two curves: C1: x12 = -12y C2: y2 = 9x

A: given x12 = -12yy2 = 9x first find the intersection point x24 = 144y2x24 = 144 ( 9x ) x24 - 1296x =…

Q: List the first five terms of the sequence. 3₁ = 2, an+1 = 5an - 3 2₁ az а3 لیا = = 34 25 = = 2 Need…

A: Given: a1=2, an+1=5an-3 To find the value: a1,a2,a3,a4,a5

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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

Q: The marginal cost for a company to produce q items is given by MC(g) = 0.004q^2-0.7q+ 650. The…

A: Topic:- application of algebra

Q: Rewrite the right-hand side as a single fraction, and then factor the numerator completely. 1)² 22…

A:

Q: ÿ M J +.1.0. = 40.CO.sx...

A: We need to solve Differential equation.

Q: 4π Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of…

A:

Q: Evaluate the integral using an appropriate substitution. [x√5 - x da = + C

A: using u substitution, let u=5-x⇒x=5-u dudx=ddx(5-x)using ddx(a-x)=-1dudx=-1dx=(-1)du

Q: Find given axy²-by=x - 1. dy dx Assume a,b ER. O dy 1-ay² dx 2axy-b dy 1 dx 2axy-b dy dx = dy dx = =…

A:

Q: Find the angle of intersection of the two curves: C1: x2 = 12y C2: y2 = 9x

A: Let's find angle of intersection of two curves.

Q: Question 3 Given the demand function D(p) Find the Elasticity of Demand at a price of $105 Raise…

A:

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = 2x³ 21x² + 72x - 9 (a) Find…

A:

Q: Solve the initial-value problem y" +8y' + 7y=10e ²* y(0) = −2 y'(0) = 10

A: NOTE: Refresh your page if you can't see any equations. . the homogeneous system is  write the…

Q: If F(x) = f(t) dt, where fis the function whose graph is given, which of the following values is…

A:

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A:

Q: Question 9 Solve the differential equation. y'e³x + 3ye³x = 4x A) y = 4x²e3x + ce³x B) y = 4x²e-3x +…

A: Topic = Differential Equation Correct Option = C

Q: List the first five terms of the sequence. an n a₁ a2 a3 || || || = a₁ 12, = an +1

A: NOTE: Refresh your page if you can't see any equations. . the first term is

Q: A sector of a circle has a diameter of 18 feet and an angle of Round your answer to four decimal…

A: Given query is to find the area of the sector.

Q: of an object is given by The displacement = √ ¹ - 7t² + tdt t4 Eveluates for a = 3.85 and b = 9 Give…

A:

Q: 2. Find the exact value of sin TT 12, π 2 6 using a half-angle identity. Use=1/ 12

A:

Q: Find the average value of the function f(x) = 0.8 on the interval 0 ≤ x ≤ 4 e Express your answer in…

A:

Q: Evaluate the following indefinite integrals. d) f(75-2) a s e) sc- - 1 f) S 20 ze² + best) at 5 5x²…

A:

Q: A rectangular storage container with an open top is to have a volume of 10 m³. The length of this…

A: NOTE: Refresh your page if you can't see any equations. . w=x (width of the box) l=2x (length of the…

Q: g(1) = g(2) = g(3) = g(6) = B. On what open interval(s) is g increasing? C. At what value of x on…

A:

Q: 22. sin(In x) X dx

A: