9.5 4.5 9.5 » [*¨* f(x)dx = 6, [^¹³ f(x)dx = 3, [ f(a)da = 3, [ f(x)dx = 8. 2 (Section 4.4) Suppose 1₁ 1(2) dx = -5 4.5 4.5 La (6(a)-3)da=0 (6 f(x) - 3) dx =

Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: y=√x, 0 ≤x≤ 81

A: Given that the expression

Q: For the following exercises, use the Mean Value Theorem and find all points 0 < c < 2 such that ƒ(2)…

A: The given function is,Take derivative.Substitute x=c

Q: me limit definition of the derivative to find dx for f(x) = √-4x.

A: Given that the expression

Q: Find the domain of f(x). f(x)=√x² + 9x - 8

A: Here we will find the domain of the given function on solving the quantity under root putting…

Q: Suppose that we're making and selling some widget and the revenue (in dollars) when making a widgets…

A: The objective of this question is to find the average revenue, marginal average revenue functions,…

Q: Find all exact solutions on the interval 0 <0 < 360°. If there is more than one answer, enter them…

A:

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a…

A: Given,a(t)=t+4v(0)= 70=&lt;t=&lt;10

Q: a) Prove the following: If f(x) is an integrable function with antiderivative F(x), and a, b are…

A:

Q: 1 se sec4 x tan x dx

A:

Q: Find ∫∫R  −3x+5y/(x+6y) dA where R is the parallelogram enclosed by the lines −3x+5y=0, −3x+5y=3,…

A:

Q: 2. The behavior of the system is a saddle. y' = -x + y, = -x-y

A: Given system is x' = -x +yy' = -x -y

Q: 5. Find the gradient of the line tangent to the following functions at the given points. a. f(x) =…

A:

Q: Differentiate the functions: cosec x * cos x

A:

Q: If f(x) = 15 to dt then f'(x) =

A: Note:-Since you asked multiple questions according to our policy we can answer only first question…

Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: Find the volume of the region under the surface z=xy^2 and above the area bounded by x=y^2 and x+y=2

A:

Q: Given y = f(u) and u = g(x), find - (3) ² y=9u-5, u= dy dx = f'(g(x))g'(x).

A:

Q: Suppose g is a function which has continuous derivatives, and that g(0) and g"" (0) = 18. What is…

A: Suppose  is a function with continuous derivatives, and that .To find the Taylor polynomial of…

Q: You have to examine the relationship between the age and price for used cars sold in the last year…

A: From the above table we…

Q: Find a power series representation for the function. f(y)=In f(x)= In[11+y)

A:

Q: Sketch the graph of the function shown below. From the graph, find its domain and range. |xif -3<x<0…

A:

Q: Consider the following. f(x) = -3x² + 36x Find the critical numbers. (Enter your answers as a…

A: The objective of this question is to find the critical numbers of the function f(x) = -3x^2 + 36x…

Q: The function f(x) = 6(1.2) is an exponential function. Af(x) Ax a. Determine the value of the ratio…

A: The given function .The aim is to find the value of the ratio  over the given intervals.

Q: 3 [³ ex dx = e³-e, use this result to evaluate Given that 3 [²70 7ex +4 dx.

A: Given,.Let assume,

Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Evaluate the definite integral. 5 J 1+162 -dx

A: To evaluate the following integral.Note: Since you have posted multiple questions, we will provide…

Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

A:

Q: Find the area under the curve y = 9x5 over the interval [0, 2]

A:

Q: A 100 m long rope hangs from the top of a mine shaft, and is attached to a crate full of coal. The…

A: The objective of this question is to calculate the total amount of work done to lift the rope and…

Q: What are the radius and the coordinates of the center of the circle with equation x2 +(y-2)2=30

A:

Q: 1 e e 5. If A-), then ¹-(3) = eª = 01 0 e

A:

Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are the inner product of two functions f and g on the interval [a, b] is the…

Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25

Q: 1. The general solution of the system [x' = y, y' is given by x(t) = C₁ cost + C₂ sint, y(t) = C₁…

A: x'= y..........(1)y'= -x.........(2)

Q: Let + f² f(x) dx = 3, Find S 4 f(x) dx = -10 5 ¹ [*³ f(x) – 6 and - 3 dx = f(x) dx = 3, [ f(a) f(x)…

A: The Sum Rule:The Power Rule:The Constant Coefficient Rule:

Q: Find the Taylor polynomial of degree 3 of the function f(x) = arctan(9x) at a = 0. T3(x) = ||

A: f(x)=arctan(9x), a=0

Q: Find y'. y = y'' = 16 tan (4x + 1)

A:

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Consider the given marginal-demand function,

Q: Write the integral required to find the area of the region pictured below that is bounde 2(y+2) 3…

A:

Q: Find the area of the region pictured below that is bounded by the functions v(y) = 3y – 6, u(y) =…

A: The region bounded by the curves  and .The aim is to find the area of the region by integrating…

Q: Find the end points of the minor and major axis for the graph of the ellipse (x - 2)² (y – 5)² + 1…

A:

Q: Find the position and velocity of an object moving along a straight line with the given…

A: The integration of acceleration function gives velocity

Q: f(x) = (5z – 3)(4: 6(2-0³) 3-20 f(9) = 3 ၁၂ နှ

A:

Q: 1 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi…

A: From the given graph

Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

Q: Since, the only critical number in the interval [0, 5] is 2, test the values of f(x) at this number…

A: The objective of the question is to find the values of the function f(x) at the critical number and…

Q: А = 1 1 1 3 4 -3 - 1 0 2 B || 8 -2 1 -3 1 0 - 4 1 1

A:

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

A:

Q: When solving the auxiliary equation associated with the differential equation 3y"+2y"=0 it is…

A: .