Determine the acute angle, in degree measurement, between the planes 2x+2y-1z = -3 and 5x+3y + 2z = -3.

Q: 1 A used piece of rental equipment has 5 years of useful life remaining. When rented, the equipment…

A: A piece of rental equipment has 5.4 years of life remaining When rented,the equipment brings in $600…

Q: Use the definition of derivative to find f'(x) and f"(x) f(x) = 4x² + 3x + 2 f'(x) =

A:

Q: answer the following questions about curves defined by parametric equations. Make sure to include…

A: solution is given below..

Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

A:

Q: The area = B cm² CL a Find the area of a triangle with a = 1.5 cm, b = 3.4 cm and y = 125°. Round…

A: if any two sides and the angle between them are given, then the formulas to calculate the area of…

Q: Consider the improper integral [²8 8 + cos(0) 0² Determine if the improper integral converges or…

A:

Q: Which of these is true? Explain briefly. a. 316 b. 36=2 C. 613

A:

Q: Consider f(x)=5x-3-41/x^2 Find the average rate of change of f(x) with respect to x over the…

A:

Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

A:

Q: Find inverse g(x)=x²-2x, x²1 f(x)= 1+√2+3x S y = (2+ 3√x) ³ 1-√X Y = T+√x

A:

Q: 27. n=1 1 n+√n

A:

Q: Stopping Distance A car is traveling at a rate of 50 feet per second when the brakes are applied.…

A: The Solution is given below:

Q: Consider the indefinite integral 2² sin(4x) da. We wish to use integration by parts. To this end,…

A:

Q: Destiny is eating lunch at her favorite cafe when her friend Jada calls and says she wants to meet…

A:

Q: 2)Find an equation of the circle whose center lies in the second quadrant, that has radius 2, and…

A: We know that in second quadrant x-co ordinate is negative and Y- co-ordinate is positive. Required…

Q: 1. A carpenter can construct book cases at a cost of P400 each. If the carpenter sells the book…

A: Given:- Carpenter sells the book cases for x pesos each And 300-2x book cases will be sold per month…

Q: 5. Determine the domain ONLY of g(x) = 4-x /4-x

A: The given function is g(x)=4-x4-x We have to find the domain of a the function . Domain of a…

Q: Find a formula for a function g(x,y,z)  whose level surfaces are planes parallel to the plane…

A:

Q: At the beginning of the year 1995, the population of Townsville was 3312. By the beginning of the…

A:

Q: A company that sells calculators has determined that the revenue generated by selling x calculators…

A: Given, A company that sells calculators has determined that the revenue generated by selling x…

Q: What is 0.55 as a fraction

A:

Q: 3. Let y = (f(x) + 5x²)4 and suppose that f(-1) = -4 and = 3 when x = -1. Find f'(-1). dx

A:

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

A:

Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: To find the value of x where the tangent line yo gragh of the given equation is horizontal

Q: A r= 5,0 = = radians 3

A:

Q: (d) d dy 11 = 4- 2x cos y 3y² tan 2x - - 2y3 sec 2x 2 sin y

A:

Q: Find an equation of the plane. The plane through the point (7, 0, 3) and perpendicular to the line…

A:

Q: The _____ of a long-linear plot is on a log scale A. X-axis B. Y-axis C. Both axes

A: Given question:- The _____ of a long-linear plot is on a log scale   A. X-axis   B. Y-axis   C. Both…

Q: 31. ผ n=1 √n + 3 n2 + 17

A: We need to find out the convergence of the series by the use of limit comparison test.

Q: Find the G.S. (6x+y2) dx + (2xy-3y2) dy =o

A:

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A:

Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: The graph of the function f(x) is shown below. f(x) f(-1) is f(0) (a) Using the figure, find the…

A: Here we have to use the concept of derivatives

Q: 2. Let us consider the given statement ~p ^ ~q The truth table of the statement is PT T LL FL q T F…

A: We have to write the final result of the table in words that too in a simple way to understand.

Q: .   Use Simpson's rule with  n = 4  equal subintervals to approximate the following. (Round your…

A:

Q: 1.) Graph the system of inequalities using the linear combination/substitution method (addition, not…

A:

Q: Solve each equation by extracting the square roots. 1.x² = -31 2. (x6)² - 7 = 0

A:

Q: A projectile is launched into the air. The height of the projectile above ground can be modelled by…

A:

Q: 21-22 (a) What are the domain and range of f? (b) What is the x-intercept of the graph of f? (c)…

A:

Q: Sketch a quadric surface that could have the traces shown. Traces in x = k O k = ±2 k=+1 k=0 Traces…

A:

Q: Let F(x, y) = 1 + √√/1 −y². 1. Evaluate F(3, 1). Answer: F(3, 1) = 1 2. What is the range of F(x,…

A: Topic- Functions we are given, F(x,y)=1+1-y2and we know that value of squareroot function is always…

Q: Write the function below in the form y = f(u) and u = g(x). Then find dx y = -4(sin x)-6 Find dy dx…

A: Given query is to find the derivative of the function.

Q: then n = √a· √² = √d" 5 n q q and m =

A: am.an = am+n .

Q: Find the first derivative of the function f(x) = √√5-7x. A. 5 2√5-7x B. 6 2√5-7x C. 7 2√5-7x D. 8…

A:

Q: -23+-13

A:

Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

A: We have to find the solution of the given differential equation.

Q: A chemical reaction converts a certain chemical into another chemical, and the rate at which the…

A:

Q: A salesman sold ​$300 more than the rest of the sales staff. If the sales total for the day was…

A:

Q: Find f'(a). f'(a) = f(t) = = 8t + 44 t + 7

A: The given function is f(t)=8t+44t+7. We have to find derivative of f(t). Here we use quotient rule…