The polar coordinates of a point are given. Plot the point. (9,5K) O -5 -5 л/2 10+ 5 π/2 10 5 5 5 Find the corresponding rectangular coordinates for the point. (x, y) = -5 -5 π/2 10 5 -5 -10- π/2 10 r 5 -5 -10F 5 5 0 0

Q: Write the equation of the sphere in standard form. 2x2 + 2y2 + 2z2 = 12x − 24z + 1 - Find its center…

A:

Q: Q65 8t Applying the shifting property to ascertain the Laplace transform of est cash (at)…

A:

Q: Answer the following questions for the function f(x)=x√√√x² + 1 defined on the interval -7 ≤ x ≤ 4.…

A:

Q: Find the area of the parallelogram with vertices A(-3,0), B(-1,6), C(8,5), and D(6,-1)

A:

Q: x+1 10. lim (f(x)h(x)) x-1 f(x) x→1 g(x) — h(x) - 11. lim

A:

Q: Question. Which of the following are rational functions? f(x)=0 f(x) = f(x) = e f(x) = 3x+1 x²-4x+5…

A: Some of the functions are given.The aim is to find the function that is a rational function.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The region bounded by curves Graph of region

Q: A. Given: -4x²y³ - 3x²y + 8xy² 7x²y + 5x²y³ - 4xy 3xy-8xy² + 2x²y² 4x5-2x³ +5 3x-2x²-2 -2x³+x² +3…

A: PLEASE NOTE:  According to our company guidelines we need to solve only first 3 subparts of a…

Q: The function S(t) gives the average annual sea level in meters in a particular city as a function of…

A:

Q: Problem 1 You are preparing for a research expedition and must rent a pair of cross country skis for…

A: You are preparing for a research expedition and must rent a pair of cross country skis for the trip.…

Q: 59. lim (1-e-2) 818

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

Q: f(x) = || x² - 25 2 x - 5 ; a = 5

A: The given function .The aim is to find the lmit of the function at  using the graph.

Q: A1.1 1. y= Ae²x + Be-x

A:

Q: F Find the slope of the demand curve containing the following pair of points: (1,7) and (2,-4) The…

A: The given points are

Q: 6 S₂ 7²1 dx. 2 S8 = 3 FI

A: Using simpson rule, we can estimate the given integral.

Q: Find the particular solution to the differential equation y' = 8x³y that passes through the point…

A: The given differential equation is y′=8x3y, and the general solution is y=Ce2x4.To find the…

Q: List all intercepts for the equation y = x² - 9. List as ordered pairs.

A:

Q: b.) Σ=1 3n+1 5n2+n-2

A: To find the series converges or diverges?

Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e2x [ dx 1+…

A:

Q: (a) x²ex

A: the function given is As per the rules, we are supposed to answer the first question, and the rest…

Q: Use the graph of F, shown on the right, to find the given limit. When necessary, state that the…

A: We want to calculate a limit involving a variable x approaching to the right of a certain value…

Q: Find the domain and range of the exponential function, f(t) = 12(1.3) t+1. Express your answers in…

A:

Q: The one-to-one function g is defined below. 8x-7 x+9 g(x)= Find g(x), where g¹ is the inverse of g.…

A: g(x)=

Q: dy Write down a differential equation of the form =ay + b whose dt 7 solutions all approach y = = as…

A: We have to write down a diffrential equation of the form  whose solutions all approach  as

Q: Find the volume V of the solid generated by revolving about the 1 from x = 4 to x = ∞. x 2.5 x-axis…

A: We have to find the volume V of the solid generated by revolving about the x-axis the region under…

Q: 3. xy' + 2(1-x²)y = 1

A:

Q: The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function.…

A: The given table xy-10227

Q: (1 point) Use integration by parts to evaluate the integral. s 5x cos(5x) dx Empoamor +C

A:

Q: make a table of slopes of secant lines and make a conjecture about the slope of the tangent line at…

A:

Q: 6-6. Using any method we have studied thus far, find the derivatives of the following functions: (a)…

A:

Q: (a) Use the methods from section 1.6 to find the characteristic equa- tion and the general solution…

A: According to bartleby guifdelines we supposed to do the first one of multiple questions kindly…

Q: Find the area of the region between the curves: y = √√√x and y = x² from x = = 0 to x = 2

A: y=x and y=x2 from x=0 to x=2

Q: 2-52. Consider a home you purchase for $600, 000, amortized over 25 years at a rate of 4.5%.…

A:

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

A:

Q: = Jó 7xds where C consists of the arc C₁ of the parabola y 3x² from (0,0) to Compute the integral I…

A:

Q: Find and simplify each of the following for f(x) = 8x-9. (A) f(x + h) (B) f(x+h)-f(x) f(x+h)-f(x)…

A: f(x)=8x-9

Q: 5 -4 -3 -2 -1 9 J -4 3 2 1 -2 -3 -4 S z p-q= 0 X P Find the components of the subtraction p F q of…

A: Vectors in component form

Q: Jane took 15 min to drive her boat upstream to​ water-ski at her favorite spot. Coming back later in…

A:

Q: Factor and/or simplify the following to match the given forms. A(1 – B) √z a) 3y2/32-1/2-6y5/6-3/2=…

A:

Q: e graph of the function f(x) is shown below. It consists of a semicircle and two aight line…

A: radius of semicircle = 2 units.

Q: Give a possible formula for the function below. Let A = (-1, 24) and B = (1, 6). Use the general…

A: The general form of an exponential function is given byy(x)=a⋅bxWherea is the initial value or the…

Q: Example Chain Rule d dt cost² =

A:

Q: 1) Find the derivatives of the following functions: a) x³e b) sin(x³ + 2x) I c) 1+x²

A: We are authorized to answer three parts at a time, so we are answering the first three parts. Please…

Q: B. Find the quotient. Use synthetic division whenever possible. 8. (3a²+a5-3a+a4-2)÷(2a + a² +1)

A:

Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…

A:

Q: Use the method of integrating factor to solve the following differential equation: y'+y=e-x

A: Thw given differential equation is

Q: Suppose H (x) = √3x² +9. Find two functions fand g such that (fog)(x) = H (x).

A:

Q: 7. Find the absolute maximum and absolute minimum values of fon the given interval. a. f(x) =…

A:

Q: 3-22. Define the matrix C = 0 1 c 1 cc²0 C 2c (a) Determine the values of c such that C is…

A:

Q: Solve the initial value problem y(t) = dy dt - y = 3et+ 12e4t, y(0) = 9

A: