a. y f(x)g(x) f(x) b. y g(x) =

Q: +2 2 1

A: Consider the integral,

Q: Determine if y=e−x+8x−9 is a solution to the initial value problem given by y′+1=8x−y and y(0)=−8.

A: The given differential equation is y′+1=8x−y.The solution of the deferential equation is given as, y...

Q: Marginal Revenue. Suppose the total revenue function for a blender is R(x)= 36x-0.01x2 dollars where...

A: The total revenue function for a blender is R(x)= 36x-0.01x2 dollars where x is the number of units ...

Q: Write the iterated integral for a sphere centered at (0,0,0) with a radius of 2. Use the order dz dx...

A: From the given the sphere equation is x2+y2+z2=22.

Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5

A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first. 

Q: 15. A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 6 feet above ...

A: I have made use of the diagram in the question and added additional labels. Please see the white boa...

Q: A​ hot-air balloon is 190 ftabove the ground when a motorcycle​ (traveling in a straight line on a h...

A: Let x be the horizontal distance from balloon to motorcycle, y be the vertical distance from the bal...

Q: 2 sec x Ay and the 2 In the figure to the right, the equation of the solid curve is y equation of th...

A: The curves are given by,

Q: A fence is to enclose a lot with area 100 square meters. The front of the fence (considered the east...

A: Let the length of the east-west side is = x meter and the length of the north-south side is = y mete...

Q: Please help me on how to perform a test to determine if the equation converges.

A: The integral is given as

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,   

Q: How can I get the result? Which is the result?

A: we are given a graph and locate direction

Q: Kindly help

A: Given information:The given intergal is  

Q: Find the area of the following region, expressing your result in terms of the positive integer n 2 2...

A: Obtain the limits of the integral by equating the functions as follows.

Q: Evaluate the integral.   Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...

A: Refer to the integral,Rewrite the hyperbolic cotangent as,

Q: 3 dx = 1 2x 8 In 국 5 -4 In 2 In을 -2 In -8 In LOn LOn

A: Obtain the value of the integral as follows.The given integral is,

Q: Calculus Question

A: The given curve is,

Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not ...

A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.

Q: Differentiate the function. f(x) = (3x5 − 2)18

A: Consider the function:

Q: 150 100 50 20 40 60 3. Suppose that a population develops according to the logistic equation (c) Use...

A: Given that a population develops according to the logistic equation

Q: Suppose that the demand for a product is given by  p= 1/2ln (5000-q/q+1) where p is in hundreds of d...

A: The elasticity of demand when the quantity demanded (q) is 2 and the price (p) is 3.71 hundreds of d...

Q: Please show as much steps as possible as I am doing my best to fully understand how to solve these t...

A: Given function is, 

Q: The problem and graph are imbedded in the image.

A: Given information:An arch is 645cft high and has a 600ft base. It can be modeled by the parabola  

Q: Differentiate xy^2+tan(y^3)=10y

A: Consider the given expression:

Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent wil...

Q: How can I get the result? Which is the result?

A: Use Pythagorean theorem,

Q: Which is the result?

A: We are given a function as 

Q: A port and a radar station are 3 mi apart on a straight shore running east and west. A ship leaves t...

A: Please look at thediagram on white board. I have used the diagram from the question itself and marke...

Q: a. Find all points on the graph of f at which the tangent line is horizontal. b. Find all points on ...

A: We first find the slope of f(x) using differentiation.

Q: Evaluate the following integral.

A: The given integral is,

Q: Find a particular solution to the differential equation below that passes through the point (−3,−5)....

A: The given differential equation is y’ = 5x–5.

Q: Consider an object moving along a line with the following velocity and initial position. vit) 9-t on...

A: Consider an object moving along a line with the velocity and initial position.

Q: For  y= (x^4/4)-(x^3/3)-2   (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...

A: We are given a function  

Q: Calculate S3, S, and S5 and then find the sum for the telescoping series 410 n3n1 n +2 n-3 where Sk ...

A: to determine the first few partial sums and the sum to infinity of the given telescoping series

Q: Differentiate the function. s(t) = 7t − 2(3t4 + 4)3

A: The differentiation of the function with respect to t  as follows.

Q: Find all real values of x such that f(x)=0 F(x)= 18 - x^2/2 But then it asks me: Set the function eq...

A: The function is

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: Find the average value of the function f(x) = e-4x on the interval [0, 1/2].   please show and expla...

A: The function is given by,

Q: solve 6^(x+3) = 2 for x

A: We take ln on both sides. 

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...

A: First consider:

Q: How can I get the result? Which is the result?

A: Use online graphing calculator to graph of the function.

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: Help me please

A: The general Taylor series for sin x at x = 0 is as follows.

Q: How can I do this? Which is the result?

A: Given:The function is 

Q: Does the series converge absolutely, converge conditionally, or diverge?

A: The given series is

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: Given infromation:The given funcion is  

Q: Let R be the region bounded by y x, x 1, and y 0. Use the shell method to find the volume of the sol...

A: (A)It is given that, the region bounded by y = x2, x = 1 and y = 0.The region around the line y = -8...

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent  to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: Help please.

A: The given function is (tan-1x)2.

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: We first draw a rough sketch of y=3/sqrt(x), y=0, x=5 and x=25. And shade the area between them.