Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating Pecta म y = 4 cos(x), y = 4e*, x = 2 y

Q: A cereal company find that the number of people who will buy one of its products the first month it…

A:

Q: 3. Find all the roots of the polynomial f(x) = 2x² + x³ +7x² + 4x − 4.

A:

Q: answer incorrect

A: Given integral:- ∫-5ln2x+1dx

Q: Find the maximum value of f(x) = -4x² + 5x + 6 on the interval [-20, 20]. It is attained at x = 6.98…

A:

Q: Use Linear Approximation to estimate Aƒ = ƒ (7.05) — ƒ(7) for f(x) (Use decimal notation. Give your…

A:

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A: We need to find out the average value of the function.

Q: 2) A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to…

A: NOTE: Refresh your page if you can't see any equations. . the give cost function is  where x is the…

Q: You invest $1000 today at 4% interest compounded continuously. How much will you have five years…

A:

Q: Let f(z) —7cosz —6tanz f'(x) = f' 4TT 3 J

A: f(x)=7cos(x)-6tan(x)

Q: a) 2₂x5e-x² dx b) 510 cos(5t) dt

A:

Q: Find the absolute minimum of f(x, y) = 5xy - 4x - 4y on the triangular region R that has vertices…

A:

Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: A cylindrical tank of height 150 cm is full of oil which started leaking out from a small hole at…

A:

Q: Sketch the region enclosed by the given curves. Draw the approximating rectangle, label its height…

A: see below the figure of the region and rectangles that can be construct in the region.

Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: Establish the identity. (6 cos 0-2 sin 0)² + (2 cos 0 + 6 sin 0)² = 40 Rewrite the left side by…

A:

Q: Given the demand function D(p)=√√375 - 4p, How many products will be sold if the price is $2? Find…

A: Let's find elasticity Function and elasticity at price $2.

Q: e) y = √x4+7x

A: Solve for the derivative

Q: differential equation: hand side (2x4 - 3y)dx + (-1x + 4y¹ )dy = 0 First: My(x, y) = If the equation…

A:

Q: The resistance R of a copper wire at temperature T = 23 °C is R = 1792. Estimate the resistance at T…

A:

Q: Find the derivative of: 9 sin² (4x²). 2 Hint: sin²(x) = [sin(x)]².... ...so use the chain rule…

A: Let's find derivative of given function.

Q: If h(x) = f(g(x)) and f(1) = 7, f'(1) = 10, g(1) = 1, and g'(1) = -5, find h''(1).   a) -50 b)…

A:

Q: Find the domain of the vector-valued functions: A. R(t) = √t² – 9 î + ln|t − 3] ƒ + (t² + 2t − 8) k…

A: The set of all values of t say D for which f(t) a function is defined, i.e not infinity for any…

Q: Finally, f(x) = 5(x2-9). Practice Give an expression for f(x) using only Real-valued coefficients,…

A:

Q: Consider following ODES: 1)4y" +12y' +13y=0,2) 2y″ +7y' + 5y = 0 a) Find characteristic equation and…

A:

Q: The System of conics has two solutions (x-1)^2+(y+4)^2=25 (x-1)^2/25 + (y+4)^2/100 =1 What are…

A: Given :(x-1)2+(y+4)2=25 (x-1)225+(y+4)2100=1

Q: (a) Find the differential dy. 2 y = √√√3+x² dy: = (b) Evaluate dy for the given values of x and dx.…

A:

Q: 1. Given f(x) = 1 and g(x) = "+¹, find the following functions and each of their domains. (a)…

A:

Q: Consider the function f(x, y) = In surface at the point (2,1). + x². Find the equation of the line…

A:

Q: Scientists can determine the age of ancient objects by the method of radiocarbon dating. The…

A: given half life thalf life = 5730 years      law of decay x = x0e-ktk = constant x = radioactivity…

Q: f(x)=2 tanx. (a) Solve f(x) = 2. (b) For what values of x is f(x) > 2 on the interval ππ 2'2 (a)…

A: Given data:- The given function is, fx = 2 tanx

Q: Evaluate. dx [sec 5x] O 5. sec² 5x O 125 seca tan x O 5 sec 5x tan 5x

A: Given query is to find the derivative work f the expression.

Q: Find the derivative of the following: g(x) = (3 + 5x) / (x4)

A:

Q: 2. Suppose a metal block is cooling so that temperature T (in °C) is given by T = 200.4-0.1t+25,…

A:

Q: 1. Given f(x) = 1 and g(x) = ¹+¹, find the following functions and each of their domains. (a)…

A:

Q: Sketch the graph that possesses the characteristics listed below f'(-1)=0, f''(-1) 0, f(3) = -7,…

A: Draw the graph

Q: Late 73. Use Definition 6 to prove that lim —— 0.

A:

Q: 37-38 Explain, in terms of linear approximations or differen- tials, why the approximation is…

A: We are required to prove that 4.02  ≈2.005 using the method of linear approximations

Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

A:

Q: 1. Suppose that the quantity r is 1000's, and price p in dollars are related by the price demand…

A: The given price-demand equation is, x2+5px+10p=220

Q: The shaded region in D = 4 cos and lies inside the polar curve r outside the polar curve r = cos 0.…

A:

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

Q: Find Position, Velocity and Acceleration Vectors Find the position vector for a particle with…

A: Concept: The formulas used v(t)=∫a(t)dtr(t)=∫v(t) Also the integration of xn is ∫xn=xn+1n+1+C Where…

Q: mizing Revenue The quantity demanded each month of the Sicard sports watch is related to the unit…

A: Given query is to find the units to be sold for maximum revenue.

Q: If f'(x) = (x2 - 4)(x + 5), determine where the tangent line to y = f(x) is horizontal. Select all…

A:

Q: Which one of the following could be the graph of the polar function r = sin 30 ? 1. 011 2.

A:

Q: Find the derivative of f(x) = f(x)= z10e3.57.

A:

Q: Question 35 Find the average rate of change over the given interval. Enter your answer in as a whole…

A:

Q: 5. Find the arc length of each curve (integrate by hand) b) y = x/2 on [0,60] a) x = -8y-3 on [-2,6]…

A: Given data, a) x=-8y-3 on -2,6 b) y=13x32