Find the x-value(s) at which the tangent line to the curve y = list. If there are none, enter NONE.) X = -9x + 4 et is horizontal. (Enter your answers as a comma-separated

Q: The integral in this exercise converges. Evaluate the integral without using a table. S 1 1.0001 X 1…

A: ∫1∞ 1x1.0001dx

Q: Find the exact length of the curve. x = 1 + 9t2,    y = 7 + 6t3,    0 ≤ t ≤ 4

A: Length of curve=∫abdxdt2+dydt2dt, provided a≤t≤b

Q: Use the Ratio Test to show that has radius of conver- n2" n=1 gence R = 2. Then determine whether it…

A: given power series ∑n=1∞ xn2nn

Q: r(t) = (t cos(t), t sin(t), t)

A:

Q: Simplify expression using the properties of logarithms. log3 2y3 - log3 8y2

A: Given: The given expression is: log32y3 - log38y2

Q: In Andromeda City, the temperature (in °C)/ hours after 8 am was modeled by the function M 10 Find…

A: Given Tt=50+6sinπt10 where t is the number of hours after 8 am

Q: Evaluate the derivative. Do not simplify. y = (tan.x)² 1- (sec x)²

A: NOTE: Refresh your page if you can't see any equations. . NOTE: we don't have to simplify the…

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=2x² - 4x…

A:

Q: Question 3 Suppose f(x) has the following properties: f(2)= 7 f(4) = 8 19 Le f(x) dx = < Evaluate:…

A: To evaluate the given integral

Q: The statement g(7) = -5 corresponds to what ordered pair?

A: Given data:- g(7)=-5 corresponds to what order pair.

Q: CO 8 -1 3+ 2+ 10 1 2 3

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

A:

Q: Suppose the demand for a certain item is given by D(p)= -3p²-6p+200, where p represents the price of…

A: we need to answer the questions from the demand function given

Q: Use the matrices below to perform matrix multiplication. B = L If the operation is undefined, enter…

A:

Q: Frank needs to drive 250 mi from Daytona Beach to Miami. After having driven x miles, the distance…

A: Given data:- Frank needs to drive 250 mi from Daytona beach to Miami. After driving x miles, the…

Q: determine if the relation defines y as a function of x

A: Given:

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

A:

Q: A culture contains 25,000 bacteria, with the population increasing exponentially. The culture…

A: Given  Initial number of bacteria=25,000 and after 10 hours number of bacteria=40,000

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

A: The given function fx=-x2+7x-4 We have to find the derivative of fx

Q: A couple wants to have $40,000 in 5 years for a down payment on a new house.(a) How much should they…

A: Concept Used: Compound Interest formula A=P1+rnnt A= final amountP= initial principal balancer=…

Q: 4) Let sin(0) == trigonometric with 0 in quadrant IV. Find the exact value of the other five…

A:

Q: Find the amount of interest earned by deposit. $12,345 if interest is 6% compounded monthly for 7…

A: Given: Principal balance P0 = $12345 Interest rate r = 6% = 0.06 Number of compounding periods in…

Q: A person's Body Mass Index is I = W2, where W is the body weight (in kilograms) and H is the body…

A:

Q: S'őx 6x dx = Jesc ]+c C csc (8x) cot (8x) dx = √3e5x 3e5x dx=+c 5+= C

A:

Q: In Exercises 1-10, factor out the greatest common factor. 2. 16x - 24 1. 18r + 27 3. 3x + 6x 5. 9x*…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the value of that will make the function f(z) continuous everywhere. 2x+k, f(x) = {22²-²5, 2>2…

A: Given query is to find the the value of k.

Q: The integral in this exercise converges. Evaluate the integral without using a table. 100 S dx 100-X

A:

Q: y 2 0 02 4 6 8 x Tell whether the data have a positive correlation, a negative correlation, or…

A:

Q: Question Given the following limit, select all statements that must be true. lim h→0 f(8 +h)-f(8) h…

A:

Q: an object is dropped from a 176-foot-high building, its position (in feet above the ground) is given…

A: Given query is to find the velocity of the ball at different points.

Q: For Exercises 75–84, determine the r- and y-intercepts for the given function. (See Example 7) 75.…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 5 minutes is inches per minute. 5 minutes is inches.

A: Topic:- application of integration

Q: Finding the partial derivative Wyvt function W = cos (u²v) 13

A:

Q: The integral in this exercise converges. Evaluate the integral without using a table. 125 S - 1 xw1…

A:

Q: When using the FOIL method to find (x + 7)(3x + 5), the product of the first terms is the product of…

A: Given data:- The given expression is, x+73x+5

Q: Find h(x,y)= g(f(x,y)) and the set on which h is continuous. g(t) = e-t cos(t) , f(x, y)= x4+ x2y2…

A: We need to find h(x,y)

Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x³ +36x² + 192x + 10 X=…

A: Horizontal tangent lines occur where slope is 0.

Q: Use the given information to find the unknown value. y varies inversely with the cube of x. When x =…

A:

Q: Solve the given differential equation by undetermined coefficients. y"" 6y"=2 cos(x) y(x) =

A: The given differential equation is; y'''-6y''=2-cosx.

Q: π 6) Lety=tan(3x + )-1. a) What is the period? b) Has it been translated up or down? If so, by how…

A: To find out the period, vertical translation, horizontal translation, asymptotes.

Q: Solve for t, 0≤ t < 2π 10 sin(t) cos(t) = 8 cos(t) t = Give your answers accurate to at least two…

A:

Q: (x²-3y2) dx + 2xy dy =o

A: To solve the following differential equation.x2-3y2 dx+2xy dy=0

Q: Skill Practice 3 Find the midpoint of the line segment with endpoints (-1.5, -9) and (-8.7, 4).

A: Given data, A -1.5,-9 B -8.7,4

Q: Solve equation. If necessary, round each answer to the nearest thousandth. e-5-2x = 5

A: Given: e-5-2x=5

Q: Evaluate the limit If the limit does not exist enter DNE. Limit= Number lim x 6 x2 x-6 - 6 x

A:

Q: d. With the aid of a diagram, find the volume of the solid of revolution obtained by revolving the…

A:

Q: Use a system of linear equations with two variables and two equations to solve. 190 students…

A:

Q: How long will it take for $100 to double at an annual inflation rate of 3.45% compounded…

A: Given: P0 = $100 Inflation rate r = 3.45% = 0.0345 The number of years t =? Formula Used: Pn = P0ert

Q: Discuss the continuity of the function on the closed interval. g(x)=√√8-x³, [-2, 2] O The function…

A:

Q: Suppose g(x) is differentiable at x = 3, g(3) = 7, and g'(3) = -2. Select all statements that must…

A: option  1 and 2 is true