Solve the right triangle using the information given. Round answers to two decimal places, if necessary. a = 2, c = 6; Find b, A, and B.

Q: N) dy dx X (1+y) y (1-x)

A: Given : dy/dx = x(1+y)/y(1+x)   Note : As per our company guidelines we are supposed to answer only…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Find all rational zeros of the polynomial function. f(x) = 3x³ - 2x² - 75x+50 ... The rational zeros…

A: Explained below

Q: The plot below represents the function f(x) 9 on 7 10 M 6 a 3- 7 2- 1 -3-4-3 -1 Evaluate f(4) f(4)-…

A:

Q: 8 765 4 3 2 1 -7-6-5-4-3-2 4 -2- -3 Clear All Draw: 4 -3 -6- 1 2 3 4 5 6 7 8

A:

Q: Consider the following function. f(x)=3- |x-41 (a) Find the critical numbers of f. (Enter your…

A: 1) The given function is: f(x)=3-|x-4|       =3-(x-4); if x≥43-(-(x-4)); if x<4       =7-x; if…

Q: ind the indefinite integral. (Use c for the constant of integration.) [ (40²³1 (4t³i + 14tj -6√/ tk)…

A:

Q: A "bead" is formed by removing a cylinder of radius r from the center of a sphere of radius R (see…

A:

Q: Finding an Indefinite Integral In Exercises 75-78, find the indefinite integral. 1 75. dx 7x-2

A: Here is the solution:

Q: Determine the average cost function C(x)= C(x)=x²+2x²-3x+40 Determine the average cost function.…

A:

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: Taylor series : A Taylor series is the expansion of a function's series around a point. A…

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

A: We need to find log value.

Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 P6(x) =

A: nth Maclaurin polynomial for the function :       Pn(x) =  ∑i=0n fi(0)i!xi = f(0)+f'(0)x + f''(0)…

Q: Use the figure below to find the exact value of the trigonometric function of angle A. csc (A)

A: answer is in next step

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: ind the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: 4) A company purchases a new machine for which the rate of depreciation is dv maner 10,000(t-6),0 ≤…

A: Given query is to find the total loass of the value in first 3 years.

Q: Solve the equations in Exercises 1-16 by the method of undetermined coefficients. y" 3y 10y = -3

A:

Q: Express the function as the sum of a power series by first using partial fractions. (Give your power…

A:

Q: Question 15 The cost, in dollars, to produce a designer dog leashes is C(z) - 8x + 9, and the…

A:

Q: 6. Without graphing the function on your calculator, find the limit. Use L'Hopital's Rule where…

A: Solution of the problem as follows

Q: 19T (a) Find an angle between 0 and 27 that is coterminal with 10 (b) Find an angle between 0° and…

A: Here we have to find the coterminal angle.

Q: (c) r(0 - 1) = -cos (0)i-3 sin(0)j (d) r(π/6+ At) - r(π/6) = (cos Ar-sin Ar-3) + (20 At- At 2 2 2…

A: We have to find the value of function.

Q: 1093 1 162

A: answer is in next step

Q: 3. f(t) = (tan² t-t²)³ 4. g(x) = eey

A: 3.  Derivative of tan2t-t23

Q: Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.…

A:

Q: Question 3 Select all of the following tables which represent y as a function of a. I Y I x y I y…

A: Let's find.

Q: Write the first four terms of the sequence whose general term is given below. (-1)^ 4 +1

A:

Q: Determine the area of the shaded region bounded by y=-x² + 6x and y=x² - 4x. The area of the region…

A:

Q: Find the limit. lim (t i 6 j + t² k) t-5 lim (t i − 6 j + t² k) = i t-5 i+ i j+ i k

A:

Q: COSX Let esinx = Soos* f (t) dt and f determine the value of (1/2) f(t) dut and f is a continous…

A:

Q: 7. √2 1+ (a) This is true. (b) This is false. dx = √2 arctanz + C

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: diverge

A: answer is in next step

Q: d. Write the equations for any vertical asymptotes. e. What is the value of f"(x) on the interval -3…

A: We need to fill in the blanks.

Q: Ordinary differential equation ( ey *sin(y)-2y*sin(x) )dx+( ex *cos(y)+2cos(x) )dy = 0

A:

Q: 1. Use calculus to find the exact absolute maximum and minimum values of f(x) = (x² + 2x - 3)2 on…

A: We have to find the solution

Q: f(x) (a) Evaluate lim X-B (b) Evaluate lim f(x) X-8 (c) Write down the equation (s) of asymptotes…

A:

Q: 5) y=-x(x²-4), Y A B C 4( C( ) B( ) )

A: we have to find the behaviour

Q: Find the absolute extrema of the function on the closed interval. f(x) = x3 − 12x,    [0, 6]…

A: To find the absolute extrema of the given function on the interval [0,6].

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A:

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

A:

Q: Find an equation of the plane that passes through the point (1, 6, −4) and contains the line:

A:

Q: Find the limit. lim (t i − 3 j + t² k) t→4 lim (t i − 3 j + t² k) = = i t-4 i+ i j+ k

A:

Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: Find the center and radius of a sphere with the equation: 8x + 4z = 1 − 2x^2 + 20y − 2y^2 − 2z^2.

A:

Q: Match each of the Maclaurin series with correct function. (-1)22n2n ·Ë (2n)! n=0 2. Σ(-1)", n=0 1 1.…

A: Please see the answer below.

Q: 2 6 5 seco SSS p² sin p dp do de 000

A:

Q: QUESTION 4 If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the…

A: To find the probability.

Q: 64 Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: