Write the following expression -3-In(x) - In(y) 3-In(x) + In(y) 3-In(x)-In(y) -3-In(x) + In(y) In XV as a sum and/or difference of logarithms without exponents.

Q: We can calculate w by determining the distance per second. What is the rate of the revolution for…

A: Formula for the angular velocity is as follows Where N is the Rate of revolution is the angular…

Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

A:

Q: The formula A-740,000 1+5 K 740,000(1+0.05)/14 True represents continuously compounded interest O…

A:

Q: 15 years ago, a company started depositing money into an investment account earning interest at an…

A:

Q: Find the derivative of y = (cos x)* y' - -x sin x y! = COS X + In (cos x)| (cos x)* y' = x(cos x)x−¹…

A:

Q: 2. Given that p = (5,-2,4), q = (3,-4,-2), and'r = (-3,2,1), calculate the following. c) pxr d) the…

A:

Q: Evaluate the limit. x - 4xy x-4y lim (x,y) → (12,3)

A:

Q: Find the value of c such that the line y = C = x + 3 is tangent to the curve y = c√x.

A: To find the value of  such that the line  is tangent to the curve .

Q: Suppose xe¹ - 4y = 3x + 1 + le¯¹ and y(1) = -1. Find: y (1) =

A:

Q: qual length, and let c₁ = 0.5, c₂ = 1.4, and c3 = 2.5.

A: Formula for the Left Riemann sum is where

Q: First make a substitution and then use integration by parts to evaluate the integral [2 cos Answer:…

A:

Q: Evaluate: log,6 O -1.631 O 18 -0.613 1

A:

Q: Evaluate the integral. Step 1 dx 62 (7²-11³/2

A:

Q: 11. Consider the plane and the line with these equations 0 = x - y - 2z + 10 a) : a must b) Find all…

A:

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°? Show how to…

A:

Q: A particle moves along a coordinate axis. Its position at time t is given by p(t) = -t³ + 2t² - t -…

A: Solution-The position function is given by,We know velocity function is given by,

Q: Evaluate the double integral 11₁₂²² x² dA, where D = {(x, y) : 1 ≤ x ≤e,0 ≤ y ≤ lnx}.

A:

Q: u = 5i + 7j v=-2i - 11j Find: -5u + 2v

A:

Q: Let f(x, y) = 125-3x²-2y2² Evaluate f(0, 3)

A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

Q: Find the average value over the given interval. y = 4x + 4; [3, 7]

A:

Q: A well stirred tank originally contains 100 gal of fresh water. Then brine containing 1/4 lb of salt…

A:

Q: Determine the value(s) of x for which f(x) = -3x² - 5x20 has a horizontal tangent line. If there is…

A:

Q: Describe how these planes intersect. If they don't intersect explain why. T₁: 5x 10y + 20z - 10 = 0…

A: The equations of the given planes are,REQUIRED :We have to find whether the given planes intersects…

Q: 7. Identify if the statement is Always True, Sometimes True or Never True. If lim f(x) exists, then…

A:

Q: The per capita growth rate of a population of cells varies over the course of a day. Assume that…

A: The per capita growth of a population of cells varies over the course of a day. Assume that time  is…

Q: Evaluate the limit. lim (x,y)-(-3,3) 4x²-4y² x+y

A:

Q: The total monthly revenue R(x), in dollars, generated from sales of Math t-shirts is related to the…

A:

Q: Differentiate but leave your answers in unsimplified form. a) y = 5x³ 4x-² +6 c) y = √x² + 3x b) y =…

A: We know that the derivative of x^n=nx^(n-1)

Q: √x+1 x-1 x-1 a) lim 72²²x²-1 2. X X c) lim x→0 b) lim x³ +8 x→→→2 x+2

A:

Q: Solve the following pure-time differential equation with the given initial condition. X = dx - = sin…

A: Given differential equation

Q: dw Use the Chain Rule to find where w = sin 8x cos 2y, x=, and y=t4. dt dw dt (Type an expression…

A: Using to chain rule :

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

A:

Q: Set up the formula to find the balance after 12 years for a total of $3,000 invested at an annual…

A:

Q: Considering the definition of f(x) below, find lim f(x). x-5+ (If the limit does not exist, enter…

A:

Q: Find an equation for the line tangent to the curve y = (√x - 9)(x³. 6) at x = 1.

A:

Q: Integral 2 25x²-81 S X -dx

A:

Q: Suppose the rate at which the volume in a tank decreases is proportional to the square root of the…

A:

Q: From the graphs of f and g in the figure, we find the following. (Assume that each point lies on the…

A: Given:We are required to find:

Q: Evaluate the double integral J₂62 6xy dA, where D is the triangular region with vertices (0, 0), (1,…

A:

Q: 4. lim (9x + 1)² x→-1 In the following exercises (5-10) use direr

A:

Q: 3e4x-2e-4x lim x-∞o 5e4x+e-4x X-8

A:

Q: dy dx = (y +9)(y-9), where y(0) = 8 The partial fraction constants in the partial-fraction method…

A:

Q: If you were given a conic section in general form, how would you determine what type of conic…

A:

Q: 2. Given that p = (5,-2,4), q = (3,-4,-2), and'r = (-3,2,1), calculate the following. a) p q b) the…

A: Let two vectors a and b are as follows then dot product is given as follows The cross product is…

Q: Find the value of c so that the function x² + cx if x 1 is continuous for all real numbers.

A:

Q: 32. a) Determine the vector equation of the line of intersection of these 2 planes: 1 x-y+z=-3 (2)…

A: a) Two equations of plane,we have to find the vector equation of the line of intersection of the two…

Q: Thanks for answering. That one was correct . Please could you also answer the second one?

A:

Q: Find the volume of the solid enclosed by the surface z = x2 + xy2 and the planes z = 0, x = 0, x =…

A: The solid surface is enclosed by:- and the planes

Q: An airplane is flying on a bearing of 170° at 495 mph. Find the component form of the velocity of…

A: Component form of the velocity of the airplane:The component form of the velocity of the airplane…

Q: Suppose that f(2)=-4, g(2) = 3, f'(2) = -1, and g'(2) = 5. Find h'(2). (a) h(x) = 3f(x) 2g(x) h'(2)…

A: Given that  and .To find the derivative value of .Derivative formula: