If f(x) =x2 and g(x) = 5/x find g(f(t)).
If f(x) =x2 and g(x) = 5/x find g(f(t)).
Want to see the full answer?
Check out a sample Q&A here
Related Calculus Q&A
Find answers to questions asked by students like you.
Q: 2. (4.6) penicillin is sold at a price of $200 per unit. The production cost (in dollars) for x unit...
A: C(x) and P(x) shows the total production cost function and the profit function of penicillin.
Q: Define R as the region bounded by the graphs of f(x)=x2 +2x+2, x=−2, x=0, and the x-axis. Using the ...
A: Click to see the answer
Q: How can I get the result? Which is the result?
A: we are given a function as
Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over th...
A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval [-3,...
Q: Solve for complex x. e^(x^2+4x)=8
A: Solve the equation e^(x^2+4x) = 8 for complex x as follows.
Q: 3x4 y‴+9x4 =5xy′+5x5 y″+9lnx Determine the order of the differential equation shown above.
A: The given differential equation is,
Q: Need help solving the equation that is attached
A: x->4^+ means x is slightly greater than 4. That means we have to use the part when x>4 to find...
Q: 4. Two stationary patrol cars equipped with radar are 6 miles apart on a highway. A truck passes a p...
A: Using Mean value theoremt,to calculate the speed limit of the truck driver passing the second patrol...
Q: Please help me with this differential equation and identify P(x), Q(x) and v(x).
A: The general form of first order linear differential equation is shown on board
Q: Is y=ex −5x−8 a solution to the initial value problem shown below? y′−5x=3+y y(0)=−7
A: The given differential equation is y=ex −5x−8.The solution of the deferential equation is given as, ...
Q: How can I get the result? Which is the result?
A: we are given a graph and locate direction
Q: e2h-1 if f'(a) lim-0 what is f(r) and what is a? h
A: Click to see the answer
Q: What is the particular solution for y′=5ex −6x3 +4x such that y(0)=−8? Do not include "y=" in your a...
A: The given differential equation is, y′=5ex −6x3 +4x.
Q: Hello, I need help explaining how pi(k)/2 came about, I know where pi/4 came from. Thank you for th...
A: Consider the provided trigonometry equation.
Q: how to find Find the area of the region enclosed by one loop of the curve. r = sin(4θ)
A: The given curve is r= sin4thetaArea of the curve enclosed in the first loop is,
Q: find the inverse of y from the function that is in the picture below
A: Giveninformation:The given function is
Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2 + ∂2z ∂y2 = 0...
A: Given Laplace’s equation is
Q: If fx)x3x+1 then fx) (In x]3x (3x+1}x3x (2x+ In xr3x+ 1 3x13r 3 Inx 3x+13 In x
A: Note:Hi there! Thank you for posting the question. The first line in the image is not very clear. Ho...
Q: Convert the double integral into a type II double integral
A: Click to see the answer
Q: The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-...
A: Given information:The DeWitt Company has found that the rate of change of its average cost for produ...
Q: Let (0 ifx-5 f(x) 0 ifz 4 and 9(x)-f(t)dt 5 Determine the value of each of the following (d) g(5) (e...
A: The functions are given as
Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...
A: The equation of the plane is
Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.
A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...
Q: If y 3 , then dx 5x2-3 10r2 3V/5x2-34 35x2- 3) 5x2-3 10x 3 3(5x2-3)2 10r 3 35x2-3)
A: Find the derivative of the given function.
Q: Determine the location and value of extreme values of f on the given interval, if they exist. Type...
A: Given information:The given function is
Q: Find the derivative of the inverse function f(x) = x/x+2
A: Click to see the answer
Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3
A: Given:The integral is
Q: Determine whether the following statements are true and give an explanation or counterexample.
A: Given information:
Q: Find the work required to move the object on the line segment. Please refer to attached image.
A: As a first step we need to parameterize the curve C. The curve has two points (1, 4, 1) and (4, 16, ...
Q: Help on #2
A: To find the arc length of r(t)=i+tj+2tk in the interval [1,2]
Q: Activity 6 Related Rates of 96 fi/min . How fast is the 11. A spherical hot air balloon is inflated ...
A: Firstly, we find dr/dt by using the formula of volume of sphere .We differentiate V with respect to ...
Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...
A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...
Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,...
A: The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:
Q: y′=−2ex −9x2 +x+4 y(0)=6 Solve the initial value problem above. Do not include "y=" in your answer.
A: Solve the Initial Value Problem(IVP) for first degree differential equation is given.
Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1
A: Find the derivative of the given function.
Q: Is y=ex +8x+5 a solution to the initial value problem shown below? y′−y=−8x+3 y(0)=6 Select the ...
A: The given differential equation is y’-y=-8x+3.The solution of the deferential equation is given as, ...
Q: The graphs of y=1.1x and y=x have two points of intersection, while the graphs of y=2^x and y=x have...
A: Here, we are given that for a real number 1< p < 2 , the graphs of y=px and y=x have exactly o...
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: 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: How can I get the result? Which is the result?
A: Click to see the answer
Q: The region is formed by the graphs of y 4x and y 12-x. Find the volume of the solid obtained by revo...
A: For the shaded part the outer radius = 12-x and inner radius = 4sqrt(x).
Q: Find the intervals on which f is increasing and the intervals on which it is decreasing f(x) = -2 ...
A: First, we find f'(x).
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: y′+9x=4+7y Is y=e7x −5x+4 a solution to the differential equation shown above?
A: We have to find y is a s olution of this differential equation or not.y and differential equation i...
Q: Let G=3f-g, where the graphs of f and g are shown in the figure. Find the derivative. G`(2)
A: G(x) = 3f(x) - g(x)we have to find the derviative of G(x) and x = 2
Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...
A: a. Integrate the given indefinite integral with respect to x as follows.
Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O...
A: The curve is given by,
Q: approximate the area under the graph of f(x) and above the x-axis using the left, right, and midpoin...
A: f(x) = 3x + 2 from x=1 to x=3; n = 4dx = Width of each rectangle = (3 - 1) / n = 2 /4 = 0.50
Q: The sales of a product S(in thousands of dollars) are given by S= 600x/x+40 where x is the advertisi...
A: Given:The function that repesents the sales of a product S is
Q: How can I get the result? Which is the result?
A: The given function is,
